WO2023202109A1 - Seven-primary-color fiber full-color-gamut color mixing mode and annular grid color blending model construction, and colored yarn spinning method - Google Patents
Seven-primary-color fiber full-color-gamut color mixing mode and annular grid color blending model construction, and colored yarn spinning method Download PDFInfo
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- 238000004043 dyeing Methods 0.000 description 3
- 239000000975 dye Substances 0.000 description 2
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- G06T11/00—2D [Two Dimensional] image generation
- G06T11/001—Texturing; Colouring; Generation of texture or colour
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- G—PHYSICS
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- G06T11/00—2D [Two Dimensional] image generation
- G06T11/40—Filling a planar surface by adding surface attributes, e.g. colour or texture
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- G—PHYSICS
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- G06T—IMAGE DATA PROCESSING OR GENERATION, IN GENERAL
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Definitions
- the invention relates to the construction of a seven-primary color fiber full color gamut color mixing model and a circular grid color matching model and a method for spinning colored yarn, and belongs to the field of textile technology.
- fibers of different colors are selected as the base color fibers from dyed fibers, solution-dyed fibers or natural colored fibers, and are blended by hand, parquet blending, cotton bale blending, drawing blending, roving blending, and spun yarn blending. Mixing and other means are used to spin colored yarn or colored yarn.
- the color matching design of colored fibers and the color innovation of yarns are one of the key technologies in the production process of colored spinning.
- the three primary color matching method or the main color plus auxiliary color matching method is usually used.
- color is a vector composed of three dimensions: hue, lightness and chroma
- hue, lightness and chroma in order to meet the richness of color restoration and the needs of multi-level color lightness and chroma, it is necessary to develop a seven-primary color matching method of six primary colors plus one gray primary color; In order to improve the accuracy of color matching, algorithm-based computer automatic color matching technology needs to be developed.
- the technical problem to be solved by the present invention is to provide a seven-primary color fiber full color gamut color mixing mode and a circular grid color matching model construction, using six color fibers and one gray fiber as the primary color fibers, and applying a grid discrete configuration method.
- a full-color gamut gridded annular color model is constructed, which effectively improves the accuracy of color acquisition.
- the present invention designs a seven-primary fiber full color gamut color mixing mode and a circular grid color matching model construction, which includes the following steps:
- Step A Based on six colored fibers of the same quality and with a color difference of 60°, and gray fibers of the same quality, seven primary color fibers are formed, and then proceed to step B;
- Step B Based on the preset reference discrete number corresponding to the fiber quality, six three-dimensional color mixing combinations are composed of any two color fibers and gray fibers among the seven primary color fibers, and the corresponding three-dimensional color mixing combinations are constructed.
- the top grid is gray and the two bottom grids correspond to the two-color ternary coupled color mixed mass pyramid grid model, and then enter step C;
- Step C For the three-element coupling color-mixing quality pyramid grid model corresponding to each three-element color mixing combination, the splicing of the same rows between models is achieved by retaining one of the grids with the same grid at the beginning and end of the same row between the models. , forming a full-color gamut gridded chromatogram corresponding to the seven primary colors, and then enter step D;
- Step D Aiming at the full-color gamut gridded chromatogram, twist it into concentric circles to construct a full-color gamut gridded annular color model corresponding to the seven primary colors.
- the technical problem to be solved by the present invention is to provide a color yarn spinning method based on the seven-primary color fiber full-color gamut color mixing model and the annular grid color matching model.
- the seven-primary color fiber is composed of Six three-dimensional color mixing combinations are used to perform digital spinning of three-dimensional color mixing combination fibers to achieve the spinning of corresponding full-color gamut color yarns and obtain high-precision spinning.
- the present invention designs a color yarn spinning method constructed with a full color gamut color mixing mode of seven primary color fibers and a circular grid color matching model, based on a three-channel color mixing CNC spinning system.
- the three fibers o, X and Z fed into the three-channel mixed-color CNC spinning system are o, ⁇ and ⁇ respectively;
- the three fibers o, X and Z fed into the three-channel mixed-color CNC spinning system are o, ⁇ and ⁇ respectively;
- the three fibers o, X and Z fed into the three-channel mixed-color CNC spinning system are o, ⁇ and ⁇ respectively;
- the three fibers o, X and Z fed into the three-channel mixed-color CNC spinning system are o, ⁇ and ⁇ respectively;
- the three fibers o, X and Z fed into the three-channel mixed-color CNC spinning system are o, ⁇ and ⁇ respectively;
- the three fibers o, X and Z fed into the three-channel mixed-color CNC spinning system are o, ⁇ , ⁇ respectively;
- the linear speed of the front roller in the drafting channel is V q (j 1 , ⁇ )
- the linear speed of the three back rollers is V ho (j 1 , ⁇ ), V hX (j 1 , ⁇ ), V hZ (j 1 , ⁇ )
- the drafting ratio of the three channels is E o ( j 1 , ⁇ ) , E ), ⁇ ' X (j 1 , ⁇ ), ⁇ ' Z (j 1 , ⁇ )
- the mixing ratio of each fiber in the yarn is ⁇ o (j 1 , ⁇ ), ⁇ ⁇ Z (j 1 , ⁇ );
- each fiber o, X, Z in the yarn is ⁇ o (j 1 , ⁇ ), ⁇ X (j 1 , ⁇ ), ⁇ Z (j 1 , ⁇ ) is:
- the full-color gamut color matrix obtained by digital spinning is as follows:
- the seven-primary color fiber full-color gamut color mixing mode and circular grid color matching model designed in this invention are constructed. First, six kinds of color fibers of the same quality and gray fibers are used to form the seven-primary color fiber; then the grid discrete configuration method is used , for the coupled color mixing of pairs of colored fibers and gray fibers under six three-element color mixing combinations, a pyramid grid model of each three-element coupling color mixing quality is constructed; then the same rows between the models are spliced to form a full set of seven primary colors.
- Figure 1 is a schematic diagram of the three-dimensional coupling color mixing quality pyramid grid corresponding to each three-dimensional color mixing combination in the design of the present invention
- Figure 2 is a schematic diagram of the pyramid grid of the three-element coupling color mixing quality corresponding to each three-element color mixing combination in the embodiment of the present invention
- Figure 3 is a schematic diagram of the full color gamut gridded chromatogram corresponding to the seven primary colors designed in the present invention
- Figure 4 is a schematic diagram of the full color gamut gridded chromatogram corresponding to the seven primary colors in the embodiment of the present invention.
- Figure 5 is a schematic diagram of the full-color gamut gridded annular color model corresponding to the seven primary colors designed in the present invention
- Figure 6 is a schematic diagram of a full-color gamut gridded annular color model corresponding to the seven primary colors in the embodiment of the present invention.
- Figure 7 is a schematic diagram of the full color gamut gridded chromatogram corresponding to the seven primary colors in Embodiment 1 of the present invention.
- Figure 8 is a schematic diagram of a full-color gamut gridded annular color model corresponding to seven primary colors in Embodiment 1 of the present invention.
- Figure 9 is a schematic diagram of a series of colored yarns with constant chroma and changing hue in Embodiment 1 of the present invention.
- Figure 10 is a series of colored yarns whose hue does not change in brightness in Example 3 of the present invention.
- Figure 11 is a series of colored yarns with changes in hue and saturation in Example 4 of the present invention.
- This invention designs a full-color gamut gridded chromatogram construction method based on seven primary color fiber mixed color spinning.
- color matching in the process of color matching, color mixing and dyeing of textiles, it is necessary to consider the three dimensions of hue, lightness and saturation.
- color control generally two groups of adjacent colors are used to mix colors to control hue changes, one group of colors and one group of achromatic colors are used to mix to control brightness changes, and two or more groups of adjacent colors and one or more achromatic colors are used to mix the chroma. Variety.
- the present invention is designed to use six kinds of colored fibers (the hue difference is controlled at about 60°), and one kind of achromatic fiber (white, gray and black) as the Basic fiber is used for color mixing.
- the hue difference is controlled at about 60°
- one kind of achromatic fiber white, gray and black
- follow steps A to D as follows.
- Step A Based on six colored fibers of the same quality and with a color difference of 60°, and gray fibers of the same quality, seven primary color fibers are formed, and then proceed to step B.
- dyes reactive dyes, acid dyes, disperse dyes and other suitable dyes
- six groups of color dyes with high color yield, pure color and color difference of about 60° are optimized, such as magenta, cyan, yellow, Red, green, blue and gray dyes are dyed with natural fibers or chemical fibers that have been opened, impurity removed, mixed evenly, refined and bleached, and the dyeing process is optimized to obtain six groups of colored fibers with the highest color purity ⁇ , ⁇ , ⁇ , ⁇ , ⁇ and a group of gray (achromatic) fibers O are used as primary color fibers for color mixing.
- the weights of these seven groups of primary color fibers are respectively W ⁇ , W ⁇ , W ⁇ , W ⁇ , and W ⁇ , W ⁇ ,W O .
- Step B Based on the preset reference discrete number corresponding to the fiber quality, six three-dimensional color mixing combinations are composed of any two color fibers and gray fibers among the seven primary color fibers, and the corresponding three-dimensional color mixing combinations are constructed.
- the top grid is gray and the two bottom grids correspond to the two-color ternary coupled color mixed mass pyramid grid model, and then enter step C.
- step B specifically executes the following steps B1 to B4.
- Step B1 Based on the quality W ⁇ , W ⁇ , W ⁇ , W ⁇ , W ⁇ , W ⁇ , W ⁇ , and W o of the seven primary color fibers ⁇ , ⁇ , ⁇ , ⁇ , ⁇ , and O , combined with the predetermined values corresponding to the fiber quality. Assume that the base discrete number is 4, and the six ternary color mixing combinations are formed by combining any two color fibers and gray fibers among the seven primary color fibers.
- the mixed color sample can be adjusted separately through changes in j 2 and j 3 :
- W o ⁇ (j 1 , j 2 , j 3 ) realizes the hue change between C ⁇ and C ⁇ ;
- W o ⁇ (j 1 , j 2 , j 3 ) realizes the hue change between C ⁇ and C ⁇ ;
- W o ⁇ (j 1 , j 2 , j 3 ) realizes the hue change between C ⁇ and C ⁇ ;
- W o ⁇ (j 1 , j 2 , j 3 ) realizes the hue change between C ⁇ and C ⁇ ;
- W o ⁇ (j 1 , j 2 , j 3 ) realizes the hue change between C ⁇ and C ⁇ ;
- W o ⁇ (j 1 , j 2 , j 3 ) realizes the hue change between C ⁇ and C ⁇ ;
- the mixed color sample can be adjusted separately through changes in j 1 and j 3 :
- W o ⁇ (j 1 , j 2 , j 3 ) realizes the brightness change between C ⁇ and C 0
- W o ⁇ (j 1 , j 2 , j 3 ) realizes the brightness change between C ⁇ and C 0
- W o ⁇ (j 1 , j 2 , j 3 ) realizes the brightness change between C ⁇ and C o
- W o ⁇ (j 1 , j 2 , j 3 ) realizes the brightness change between C ⁇ and C 0
- W o ⁇ (j 1 , j 2 , j 3 ) realizes the brightness change between C ⁇ and C 0
- W o ⁇ (j 1 , j 2 , j 3 ) realizes the brightness change between C ⁇ and C 0
- W o ⁇ ( j 1 , j 2 , j 3 ) realize the brightness change between C ⁇
- the mixed color sample can be adjusted separately through changes in j 1 and j 2 : W o ⁇ (j 1 , j 2 , j 3 ) realizes the brightness change between C ⁇ and C 0 , W o ⁇ (j 1 , j 2 , j 3 ) realizes the brightness change between C ⁇ and C 0 ; W o ⁇ (j 1 , j 2 , j 3 ) realizes the brightness change between C ⁇ and C o ; W o ⁇ (j 1 , j 2 , j 3 ) realizes the brightness change between C ⁇ and C 0 , W o ⁇ (j 1 , j 2 , j 3 ) realizes the brightness change between C ⁇ and C 0 ; W o ⁇ ( j 1 , j 2 , j 3 ) realize the brightness change between C ⁇ and C o .
- the weight of each sub-sample of the three-dimensional combination of seven primary color fibers is related to the reference weight of the primary color fiber, the reference discrete number, and the discrete serial number. If during the color mixing process, there are no constraints on the base weight, base discrete number and discrete sequence number of the primary color fiber, then the weight of the mixed sample, W o ⁇ (j 1 ,j 2 ,j 3 ), W o ⁇ (j 1 ,j 2 , j 3 ),W o ⁇ (j 1 ,j 2 ,j 3 ),W o ⁇ (j 1 ,j 2 ,j 3 ),W o ⁇ (j 1 ,j 2 ,j 3 ),W o ⁇ (j 1 ,j 2 ,j 3 ),W o ⁇ (j 1 ,j 2 ,j 3 ) is a non-constant variable.
- the definition of coupled color mixing is as follows: In the process of combined color mixing of discrete weights of multi-element primary color fibers, it is assumed that the reference weights of each primary color fiber are equal, and their reference discrete numbers are also equal. When the discrete serial numbers of each primary color fiber satisfy specific constraints When , it can be ensured that the weight of the multi-primary color fiber mixed color sample remains constant and equal to its base weight, and the mixing ratio of the multi-primary color fiber can be gradient changed in the range of 0% to 100%.
- the mixing mode of the multi-primary color fiber that meets this condition It is defined as the coupled color mixing of multi-primary color fibers.
- Step B2 According to the mass W ⁇ , W ⁇ , W ⁇ , W ⁇ , W ⁇ , W ⁇ , and W o of the seven primary color fibers ⁇ , ⁇ , ⁇ , ⁇ , ⁇ , and O are all equal to W, and the six three
- Step B3 According to the qualities W o ⁇ (j 1 ,j 2 ,j 3 ), W o ⁇ (j 1 ,j 2 ,j 3 ), W o ⁇ (j 1 ,j 2 ,j 3 ) of six ternary color mixing combinations , W o ⁇ (j 1 ,j 2 ,j 3 ), W o ⁇ (j 1 ,j 2 ,j 3 ), W o ⁇ (j 1 ,j 2 ,j 3 ) corresponding to the formula (4), respectively for each
- the top grid is gray and the two bottom grids correspond to two colors respectively. Construct the three-dimensional coupling color mixing quality pyramid grid model corresponding to each three-dimensional color mixing combination, as shown in Figure 1, and then enter Step B4.
- Step B4. Obtain the mixing ratios ⁇ ⁇ (j 1 , j 2 ) and ⁇ ⁇ (j 1 , j 2 ) of the seven primary color fibers ⁇ , ⁇ , ⁇ , ⁇ , ⁇ , and O respectively corresponding to each ternary color mixing combination.
- ⁇ ⁇ (j 1 ,j 2 ), ⁇ ⁇ (j 1 ,j 2 ), ⁇ ⁇ (j 1 ,j 2 ), ⁇ ⁇ (j 1 ,j 2 ), ⁇ o (j 1 ,j 2 ) as follows:
- color includes three dimensions: hue, lightness and chroma.
- Color control and matching are usually controlled within the full color gamut from three dimensions: hue, lightness and chroma.
- the full color gamut of color is determined by the color space defined by the hue angle that changes from 0° to 360°, the lightness that changes from 0 to 1, and the chroma that changes from 0 to 1.
- the so-called full color gamut control of color refers to the color control that realizes the change of hue angle in the range of 0° to 360°, the change of brightness in the range of 0 to 1, and the change of chroma in the range of 0 to 1 based on the control of the proportion of multiple primary colors. method.
- the coupled color mixing grid model constructed above contains 15 grid points. By changing the coordinates of the grid points, the mixing ratio of the seven primary color fibers ⁇ , ⁇ , ⁇ , ⁇ , ⁇ , and o can be changed, and the mixing ratios of the seven primary color fibers ⁇ , ⁇ , ⁇ , ⁇ , ⁇ , and o can be changed respectively in ⁇ - Control the hue, lightness and chroma of colors within six color gamuts: ⁇ -0, ⁇ - ⁇ -0, ⁇ - ⁇ -0, ⁇ - ⁇ -0, ⁇ - ⁇ -0, ⁇ - ⁇ -0. Variety.
- control methods belong to local color gamut control and cannot control changes in hue, brightness and chroma of colors within the full color gamut.
- gridded sub-models are spliced end to end corresponding to each row to obtain a full color gamut grid constructed from seven primary color fibers that contains color hues ⁇ , ⁇ , ⁇ , ⁇ , ⁇ and gray O.
- the mixed color model has a total of 61 grid points.
- the mixing ratio of the seven primary color fibers ⁇ , ⁇ , ⁇ , ⁇ , ⁇ , ⁇ , and o can be changed, and can be uniformly controlled within the full color gamut of ⁇ - ⁇ - ⁇ - ⁇ - ⁇ - ⁇ -o. Changes in hue, lightness and chroma of colors.
- Step C For the three-element coupling color-mixing quality pyramid grid model corresponding to each three-element color mixing combination, the splicing of the same rows between models is achieved by retaining one of the grids with the same grid at the beginning and end of the same row between the models. , forming a full-color gamut gridded chromatogram corresponding to the seven primary colors, and then enter step D.
- step C specifically executes the following steps C1 to C5.
- Step C1 According to the three-dimensional coupling color mixing quality pyramid meshing model corresponding to each three-dimensional color mixing combination, perform the same row splicing between models by retaining one of the grids in the same row at the beginning and end of the model.
- j 1 represent the row of the spliced model
- ⁇ represent the column of the spliced model
- the full color gamut mixture sample mass T (j 1 , ⁇ ) corresponding to the three primary colors
- the seven primary color fibers ⁇ , ⁇ , ⁇ , ⁇ , ⁇ , ⁇ and O respectively correspond to the mixing ratios ⁇ ⁇ (j 1 , ⁇ ), ⁇ ⁇ (j 1 , ⁇ ), ⁇ ⁇ (j 1 , ⁇ ), ⁇ ⁇ (j 1 , ⁇ ), in the full-color gamut mixed sample.
- ⁇ ⁇ (j 1 , ⁇ ), ⁇ ⁇ (j 1 , ⁇ ), ⁇ o (j 1 , ⁇ ) are as follows, and then proceed to step C2.
- T(j 1 , ⁇ ) W o ⁇ (j 1 ,j 2 ), ⁇ ⁇ (j 1 , ⁇ ), ⁇ ⁇ (j 1 , ⁇ ), ⁇ o (j 1 , ⁇ ) (11)
- T(j 1 , ⁇ ) W o ⁇ (j 1 , ⁇ - ⁇ m /6), ⁇ o (j 1 , ⁇ - ⁇ m /6), ⁇ ⁇ (j 1 , ⁇ - ⁇ m /6), ⁇ ⁇ (j 1 , ⁇ - ⁇ m /6) (12)
- T(j 1 , ⁇ ) W o ⁇ (j 1 , ⁇ -2 ⁇ m /6), ⁇ o (j 1 , ⁇ -2 ⁇ m /6), ⁇ ⁇ (j 1 , ⁇ -2 ⁇ ⁇ m /6), ⁇ ⁇ (j 1 , ⁇ -2 ⁇ m /6) (13)
- T(j 1 , ⁇ ) W o ⁇ (j 1 , ⁇ -3 ⁇ m /6), ⁇ o (j 1 , ⁇ -3 ⁇ m /6), ⁇ ⁇ (j 1 , ⁇ -3 ⁇ ⁇ m /6), ⁇ ⁇ (j 1 , ⁇ -3 ⁇ m /6) (14)
- T(j 1 , ⁇ ) W o ⁇ (j 1 , ⁇ -4 ⁇ m /6), ⁇ o (j 1 , ⁇ -4 ⁇ m /6), ⁇ ⁇ (j 1 , ⁇ -4 ⁇ ⁇ m /6), ⁇ ⁇ (j 1 , ⁇ -4 ⁇ m /6) (15)
- T(j 1 , ⁇ ) W o ⁇ (j 1 , ⁇ -5 ⁇ m /6), ⁇ o (j 1 , ⁇ -5 ⁇ m /6), ⁇ ⁇ (j 1 , ⁇ -5 ⁇ ⁇ m /6), ⁇ ⁇ (j 1 , ⁇ -5 ⁇ m /6) (16)
- T(j 1 , ⁇ ) W o ⁇ (5,1), ⁇ o (5,1), ⁇ ⁇ (5,1) ⁇ ⁇ (5,1) (17)
- T(j 1 , ⁇ ) W ⁇ [ ⁇ ⁇ (j 1 , ⁇ ) ⁇ ⁇ (j 1 , ⁇ ) ⁇ ⁇ (j 1 , ⁇ ) ⁇ ⁇ (j 1 , ⁇ ) ⁇ ⁇ (j 1 , ⁇ ) ⁇ o (j 1 , ⁇ )] (18)
- T (j 1 , ⁇ ) W o ⁇ (j 1 , ⁇ ); ⁇ o (j 1 , ⁇ ), ⁇ ⁇ (j 1 , ⁇ ), ⁇ ⁇ (j 1 , ⁇ );
- T (j 1 , ⁇ ) W o ⁇ (j 1 , ⁇ -4); ⁇ o (j 1 , ⁇ -4), ⁇ ⁇ (j 1 , ⁇ -4), ⁇ ⁇ (j 1 , ⁇ -4);
- T (j 1 , ⁇ ) W o ⁇ (j 1 , ⁇ -12); ⁇ o (j 1 , ⁇ -12), ⁇ ⁇ (j 1 , ⁇ -12), ⁇ ⁇ (j 1 , ⁇ -12);
- T (j 1 , ⁇ ) W o ⁇ (j 1 , ⁇ -16); ⁇ o (j 1 , ⁇ -16), ⁇ ⁇ (j 1 , ⁇ -16), ⁇ ⁇ (j 1 , ⁇ -16);
- T (j 1 , ⁇ ) W o ⁇ (j 1 , ⁇ -20); ⁇ o (j 1 , ⁇ -20), ⁇ ⁇ (j 1 , ⁇ -20), ⁇ ⁇ (j 1 , ⁇ -20);
- T (j 1 , ⁇ ) W o ⁇ (j 1 , ⁇ ); ⁇ o (j 1 , ⁇ ), ⁇ ⁇ (j 1 , ⁇ ), ⁇ ⁇ (j 1 , ⁇ );
- T (j 1 , ⁇ ) W o ⁇ (j 1 , ⁇ -9); ⁇ o (j 1 , ⁇ -9), ⁇ ⁇ (j 1 , ⁇ -9), ⁇ ⁇ (j 1 , ⁇ -9);
- T (j 1 , ⁇ ) W o ⁇ (j 1 , ⁇ -12); ⁇ o (j 1 , ⁇ -12), ⁇ ⁇ (j 1 , ⁇ -12), ⁇ ⁇ (j 1 , ⁇ -12);
- T (j 1 , ⁇ ) W o ⁇ (j 1 , ⁇ -15); ⁇ o (j 1 , ⁇ -15), ⁇ ⁇ (j 1 , ⁇ -15), ⁇ ⁇ (j 1 , ⁇ -15);
- T (j 1 , ⁇ ) W o ⁇ (j 1 , ⁇ ); ⁇ o (j 1 , ⁇ ), ⁇ ⁇ (j 1 , ⁇ ), ⁇ ⁇ ( j 1 , ⁇ );
- T(j 1 , ⁇ ) W o ⁇ (5,1), ⁇ o (5,1), ⁇ ⁇ (5,1) ⁇ ⁇ (5,1);
- the mixing ratio of the seven primary color fibers ⁇ , ⁇ , ⁇ , ⁇ , ⁇ , ⁇ , and O in the mixed sample is as follows:
- [ ⁇ (j 1 , ⁇ )] [ ⁇ ⁇ (j 1 , ⁇ ) ⁇ ⁇ (j 1 , ⁇ ) ⁇ ⁇ (j 1 , ⁇ ) ⁇ ⁇ (j 1 , ⁇ ) ⁇ ⁇ (j 1 , ⁇ ) ⁇ o (j 1 , ⁇ )] T (19).
- the blending ratio [ ⁇ (j 1 , ⁇ )] of the full-color gamut gridded color mixing model sample is:
- ⁇ (j 1 , ⁇ ) [ ⁇ ⁇ (j 1 , ⁇ ) ⁇ ⁇ (j 1 , ⁇ ) ⁇ ⁇ (j 1 , ⁇ ) ⁇ ⁇ (j 1 , ⁇ ) ⁇ ⁇ (j 1 , ⁇ ) ⁇ o (j 1 , ⁇ )] T (27)
- [T(1, ⁇ )] 1 ⁇ 24 [T(1,1)T(1,2)...T(1,8)T(1,9)...T(1,16)T(1,17 )...T(1,23)T(1,24)] (29)
- Step C5. Based on equations (29) to (33), obtain the quality matrix of the full-color gamut gridded color mixing model as follows:
- the color matrix to obtain the full color gamut gridded color mixing model is:
- a full-color gamut gridded chromatogram corresponding to the seven primary colors is constructed, as shown in Figure 3, and then enters step D.
- Step D For the full-color gamut gridded chromatogram, follow steps D1 to D2 as follows to construct a full-color gamut gridded annular color model corresponding to the seven primary colors by twisting it into concentric circles.
- Step D1 For the full-color gamut gridded chromatogram, twist it into concentric circles to construct a full-color gamut gridded annular color model corresponding to the seven primary colors, as shown in Figure 5, and then proceed to step D2.
- Step D2 obtain the polar coordinates of each grid point position in the full-color gamut gridded annular color model: polar angle ⁇ (j 1 , ⁇ ), polar radius ⁇ (j 1 );
- CNC spinning is a spinning method based on the asynchronous drafting of multiple rovings (multiple channels), which can control online the changes in the blending ratio, linear density and twist of the spun yarn.
- a complete system includes the spinning mechanical system, spinning control system and spinning servo system.
- the spinning mechanical system includes the coupling drafting mechanism, twisting mechanism and winding forming mechanism of the multi-channel coupled digital spinning machine; spinning mechanism
- the yarn control system includes the upper computer touch screen, lower computer and control program; the spinning servo system includes servo motors, variable frequency motors and their servo drives, frequency converters, encoders, reducers, etc. corresponding to the various mechanisms of the mechanical system.
- a full-color gamut gridded chromatography construction method based on seven primary color fiber mixed color spinning was further designed, based on a three-channel mixed color CNC spinning system, combining three back rollers, one middle roller, and one front roller. , ring plate respectively correspond one to one based on the control of servo drive and servo motor.
- the three fibers o, X and Z fed into the three-channel mixed-color CNC spinning system are o, ⁇ and ⁇ respectively;
- the three fibers o, X and Z fed into the three-channel mixed-color CNC spinning system are o, ⁇ and ⁇ respectively;
- the three fibers o, X and Z fed into the three-channel mixed-color CNC spinning system are o, ⁇ and ⁇ respectively;
- the three fibers o, X and Z fed into the three-channel mixed-color CNC spinning system are o, ⁇ and ⁇ respectively;
- the three fibers o, X and Z fed into the three-channel mixed-color CNC spinning system are o, ⁇ and ⁇ respectively;
- the three fibers o, X and Z fed into the three-channel mixed-color CNC spinning system are o, ⁇ and ⁇ respectively.
- the linear speed of the front roller in the drafting channel is V q (j 1 , ⁇ )
- the linear speed of the three back rollers is V ho (j 1 , ⁇ ), V hX (j 1 , ⁇ ), V hZ (j 1 , ⁇ )
- the drafting ratio of the three channels is E o ( j 1 , ⁇ ),E ), ⁇ ' X (j 1 , ⁇ ), ⁇ ' Z (j 1 , ⁇ )
- the mixing ratio of each fiber in the yarn is ⁇ o (j 1 , ⁇ ), ⁇ ⁇ Z (j 1 , ⁇ ).
- each fiber o, X, Z in the yarn is ⁇ o (j 1 , ⁇ ), ⁇ X (j 1 , ⁇ ), ⁇ Z (j 1 , ⁇ ) is:
- the full-color gamut color matrix obtained by digital spinning is as follows:
- the draft ratio is updated as follows:
- the three fibers corresponding to each three-dimensional color mixing combination are digitally spun, including color. Spinning of colored yarns with constant chroma and changing hue. According to formula (45) and the full color gamut gridded chromatogram corresponding to the seven primary colors, there are four series of colors with constant chroma and changing hue.
- the yarn color values are as follows:
- the first series of color yarn color values with constant chroma and changing hue [C(1,1),C(1,2),...,C(1,23),C(1,24)];
- the second series of color yarn color values with constant chroma and changing hue [C(2,1),C(2,2),...,C(2,17),C(2,18)];
- the third series of color yarn color values with constant chroma and changing hue [C(3,1),C(3,2),...,C(3,11),C(3,12)];
- the fourth series of color yarn color values with constant chroma and changing hue [C(4,1),C(4,2),...,C(4,5),C(4,6)].
- the mixing ratio of the second series of color yarns with constant chroma and changing hue [ ⁇ (2,1), ⁇ (2,2),..., ⁇ (2,17), ⁇ (2,18)];
- the fourth series of color yarn color values with constant chroma and changing hue [ ⁇ (4,1), ⁇ (4,2),..., ⁇ (4,5), ⁇ (4,6)].
- the three fibers corresponding to each three-dimensional color mixing combination are digitally spun, including unchanged hue, Spinning of colored yarns with changing brightness, wherein, according to formula (45) and the full color gamut gridded chromatogram corresponding to the seven primary colors, the six ternary mixed color combinations correspond to unchanged hue and changing brightness.
- the color values of colored yarns are:
- the color values of the colored yarn corresponding to the first ternary color mixing combination remain unchanged in hue and change in brightness: [C(5,1),C(4,1),C(3,1),C(2,1), C(1,1)];
- the second ternary color mixing combination corresponds to the color yarn color values of unchanged hue and changing brightness: [C(5,1),C(4,2),C(3,3),C(2,4), C(1,5)];
- the third ternary color mixing combination corresponds to the color yarn color values of unchanged hue and changing brightness: [C(5,1),C(4,3),C(3,5),C(2,7), C(1,9)];
- the fourth ternary color mixing combination corresponds to the color value of the colored yarn with unchanged hue and changing brightness: [C(5,1),C(4,4),C(3,7),C(2,10), C(1,13)];
- the color values of the colored yarn corresponding to the fifth ternary color mixing combination remain unchanged in hue and change in brightness: [C(5,1),C(4,5),C(3,9),C(2,13), C(1,17)];
- the sixth ternary color mixing combination corresponds to the color yarn color values of unchanged hue and changing brightness: [C(5,1),C(4,6),C(3,11),C(2,16), C(1,21)].
- the color mixing ratios of the six ternary color mixing combinations corresponding to the color yarns with unchanged hue and changing brightness are:
- the first ternary color mixing combination corresponds to the color yarn mixing ratio of unchanged hue and changing brightness: [ ⁇ (5,1), ⁇ (4,1), ⁇ (3,1), ⁇ (2,1), ⁇ (1,1)];
- the second ternary color mixing combination corresponds to the color yarn mixing ratio of unchanged hue and changing brightness: [ ⁇ (5,1), ⁇ (4,2), ⁇ (3,3), ⁇ (2,4), ⁇ (1,5)];
- the third ternary color mixing combination corresponds to the color yarn mixing ratio of unchanged hue and changing brightness: [ ⁇ (5,1), ⁇ (4,3), ⁇ (3,5), ⁇ (2,7), ⁇ (1,9)];
- the fourth ternary color mixing combination corresponds to the color yarn mixing ratio of unchanged hue and changing brightness: [ ⁇ (5,1), ⁇ (4,4), ⁇ (3,7), ⁇ (2,10), ⁇ (1,13)];
- the fifth ternary color mixing combination corresponds to the color yarn mixing ratio of unchanged hue and changing brightness: [ ⁇ (5,1), ⁇ (4,5), ⁇ (3,9), ⁇ (2,13), ⁇ (1,17)];
- the sixth ternary color mixing combination corresponds to the color yarn mixing ratio of unchanged hue and changing brightness: [ ⁇ (5,1), ⁇ (4,6), ⁇ (3,11), ⁇ (2,16), ⁇ (1,21)].
- the second ternary color mixing combination corresponds to a color yarn draft ratio with unchanged hue and changing brightness: [E(5,1),E(4,2),E(3,3),E(2,4) ,E(1,5)];
- the third ternary color mixing combination corresponds to a color yarn draft ratio with unchanged hue and changing brightness: [E(5,1),E(4,3),E(3,5),E(2,7) ,E(1,9)];
- the fifth ternary color mixing combination corresponds to the color yarn draft ratio with unchanged hue and changing brightness: [E(5,1),E(4,5),E(3,9),E(2,13) ,E(1,17)];
- the three fibers corresponding to each three-dimensional color mixing combination are digitally spun, including hue changes, Spinning of colored yarns with varying chromaticity.
- the six ternary mixed color combinations correspond to unchanged hue and chromaticity.
- the changing color values of colored yarns are:
- the color value of the color yarn corresponding to the first ternary color mixing combination with unchanged hue and changing chroma [C(5,1),C(4,1),C(2,2),C(1,3) ];
- the second ternary color mixing combination corresponds to the color value of the color yarn with unchanged hue and changing chroma: [C(5,1),C(4,2),C(2,5),C(1,7) ];
- the third ternary color mixing combination corresponds to the color value of the color yarn with unchanged hue and changing chroma: [C(5,1),C(4,3),C(2,8),C(1,11) ];
- the fourth ternary color mixing combination corresponds to the color value of the color yarn with unchanged hue and changing chroma: [C(5,1),C(4,4),C(2,11),C(1,15) ];
- the fifth ternary color mixing combination corresponds to the color value of the color yarn with unchanged hue and changing chroma: [C(5,1),C(4,5),C(2,14),C(1,19) ];
- the sixth ternary color mixing combination corresponds to the color value of the color yarn with unchanged hue and changing chroma: [C(5,1),C(4,6),C(2,17),C(1,23) ].
- the color mixing ratios of the six ternary color mixing combinations corresponding to color yarns with unchanged hue and changing chroma are:
- the first ternary color mixing combination corresponds to the color yarn mixing ratio of unchanged hue and changing chroma: [ ⁇ (5,1), ⁇ (4,1), ⁇ (2,2), ⁇ (1,3) ];
- the second ternary color mixing combination corresponds to the color yarn mixing ratio of unchanged hue and changing chroma: [ ⁇ (5,1), ⁇ (4,2), ⁇ (2,5), ⁇ (1,7) ];
- the third ternary color mixing combination corresponds to the color yarn mixing ratio of unchanged hue and changing chroma: [ ⁇ (5,1), ⁇ (4,3), ⁇ (2,8), ⁇ (1,11) ];
- the fourth ternary color mixing combination corresponds to the color yarn mixing ratio of unchanged hue and changing chroma: [ ⁇ (5,1), ⁇ (4,4), ⁇ (2,11), ⁇ (1,15) ];
- the fifth ternary color mixing combination corresponds to the color yarn mixing ratio of unchanged hue and changing chroma: [ ⁇ (5,1), ⁇ (4,5), ⁇ (2,14), ⁇ (1,19) ];
- the sixth ternary color mixing combination corresponds to the color yarn mixing ratio of unchanged hue and changing chroma: [ ⁇ (5,1), ⁇ (4,6), ⁇ (2,17), ⁇ (1,23) ].
- the second ternary color mixing combination corresponds to the same hue and changing chroma draft ratio of colored yarns: [E(5,1),E(4,2),E(2,5),E(1,7 )];
- the third ternary color mixing combination corresponds to the same hue and changing chroma draft ratio of colored yarns: [E(5,1),E(4,3),E(2,8),E(1,11 )];
- Example 1 is to spin colored yarn based on full-color gamut chromatography, and the specific execution is as follows.
- the RGB color values of the seven primary color fibers obtained from the colorimeter are C ⁇ (R ⁇ ,G ⁇ ,B ⁇ ), C ⁇ (R ⁇ ,G ⁇ ,B ⁇ ),C ⁇ (R ⁇ ,G ⁇ ,B ⁇ ),C ⁇ (R ⁇ ,G ⁇ ,B ⁇ ),C ⁇ (R ⁇ ,G ⁇ ,B ⁇ ),C ⁇ (R ⁇ ,G ⁇ ,B ⁇ ),C ⁇ (R ⁇ ,G ⁇ ,B ⁇ ),C ⁇ (R ⁇ ,G ⁇ ,B ⁇ ),C ⁇ (R ⁇ ,G ⁇ ,B ⁇ ),C ⁇ (R ⁇ ,G ⁇ ,B ⁇ ),C ⁇ (R ⁇ ,G ⁇ ,B ⁇ ),C ⁇ (R ⁇ ,G ⁇ ,B ⁇ ),C ⁇ (R ⁇
- the three primary color fibers are made into three primary color rovings with linear densities W ⁇ , W ⁇ , and W ⁇ of 4.5g/10m through the spinning process, as shown in Table 3 below.
- the yarn density of the colored yarn is 24.5tex, and the yarn twist coefficient is 296.98.
- the color of the colored yarn and the blending ratio of the three primary color fibers are determined based on the full-color gamut circular color model design plan.
- the blending ratio ⁇ (j 1 , ⁇ ) of three primary color melange yarns is as follows:
- the color value of the full color gamut mixture sample of the colored yarn can be obtained as:
- the full-color gamut color yarn chromatogram can be obtained as shown in Table 6.
- Example 2 Spinning of colored yarns with constant chroma and changing hue.
- a series of 18 different hues with a chroma value of 75% was selected to spin yarns with constant chroma and changing hue.
- Colored yarn, the spinning process is as shown in Table 7.
- the spinning chroma remains unchanged and the hue changes.
- the drafting process parameters of the colored yarn, the color value of the spun yarn is as shown in Table 8.
- the spinning chroma remains unchanged and the hue changes. Vary colored yarn color values.
- Embodiment 3 Spinning of colored yarns with constant hue and changing chroma.
- a series of colors with constant hue and changing chroma are selected to spin colored yarns with constant hue and changing chroma.
- the spinning process is as shown in Table 9.
- the drafting process parameters of spinning colored yarns with constant hue and changing lightness are shown in Table 10.
- the color values of the spun yarns are as shown in Table 10.
- the color values of spinning colored yarns with constant hue and changing lightness are as shown in Table 9. .
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Abstract
The present invention relates to a seven-primary-color fiber full-color-gamut color mixing mode and annular grid color blending model construction. Firstly, six colored fibers and a gray fiber which have the same mass constitute seven primary color fibers; then by using a gridding discrete configuration mode, a mass pyramid grid model of each ternary coupling color mixing is constructed in respect of coupling color mixing of any two colored fibers and the gray fiber under six ternary color mixing combinations; then the same rows among the models are spliced to constitute a full-color-gamut grid color chart corresponding to seven primary colors; and finally, by using a mode of twisting and bending into concentric circles, a full-color-gamut grid annular color model corresponding to the seven primary colors is constructed. A colored yarn spinning method is further designed; and on the basis of a three-channel color mixing numerical control spinning system, according to the full-color-gamut grid annular color model corresponding to the seven primary colors, digital spinning is carried out on three kinds of colored fibers under each ternary color mixing combination, thereby achieving spinning of full-color-gamut colored yarns corresponding to the seven primary colors, highly efficiently achieving digital spinning, and improving the spinning color precision.
Description
本发明涉及七基色纤维全色域混色模式及圆环状网格化配色模型构建及彩色纱纺制方法,属于纺织技术领域。The invention relates to the construction of a seven-primary color fiber full color gamut color mixing model and a circular grid color matching model and a method for spinning colored yarn, and belongs to the field of textile technology.
在现有的纺纱工艺流程中,从染色纤维、原液着色纤维或者天然彩色纤维中优选不同色彩的纤维作为基色纤维,通过手工混和、拼花混和、棉包混和、并条混和、粗纱混和、细纱混和等手段纺制色纺纱或彩色纱。In the existing spinning process, fibers of different colors are selected as the base color fibers from dyed fibers, solution-dyed fibers or natural colored fibers, and are blended by hand, parquet blending, cotton bale blending, drawing blending, roving blending, and spun yarn blending. Mixing and other means are used to spin colored yarn or colored yarn.
色纤维的配色设计及纱线的色彩创新是色纺纱生产过程的关键技术之一,通常采用三原色配色法或者主色加辅色配色法。现有色纺纱生产流程中存在问题:一是纤维染色配色与色纱纺制相互脱节;二是以点对点的碎片化手工配色配色为主;三是基于三原色配色的色彩还原不够丰富;四是缺乏对色相、明度、彩度进行统一调控的理论与方法。由于传统配色依靠操作人员的经验对色彩的色相、明度及彩度进行把握,造成配色结果受人的主观影响较大,且配色准确性弱、配色效率低、配色周期长等现状。The color matching design of colored fibers and the color innovation of yarns are one of the key technologies in the production process of colored spinning. The three primary color matching method or the main color plus auxiliary color matching method is usually used. There are problems in the existing color spinning production process: first, fiber dyeing and color matching are disconnected from color yarn spinning; second, point-to-point fragmented manual color matching is mainly used; third, the color restoration based on three primary color matching is not rich enough; fourth, there is a lack of The theory and method of unified control of hue, lightness and chroma. Since traditional color matching relies on the experience of the operator to grasp the hue, brightness and chroma of the color, the color matching results are greatly affected by human subjectivity, and the color matching accuracy is weak, the color matching efficiency is low, and the color matching cycle is long.
由于色彩是由色相、明度及彩度三个维度组成的向量,为了满足色彩还原的丰富性以及多层次色彩明度、彩度的需求,需要开发六彩基色加一灰基色的七基色配色法;为了提升配色准确性,需要开发基于算法的计算机自动配色技术。Since color is a vector composed of three dimensions: hue, lightness and chroma, in order to meet the richness of color restoration and the needs of multi-level color lightness and chroma, it is necessary to develop a seven-primary color matching method of six primary colors plus one gray primary color; In order to improve the accuracy of color matching, algorithm-based computer automatic color matching technology needs to be developed.
发明内容Contents of the invention
本发明所要解决的技术问题是提供七基色纤维全色域混色模式及圆环状网格化配色模型构建,以六种彩色纤维和一种灰色纤维为基色纤维,应用网格化离散配置方式,针对两种彩色纤维与一种灰色纤维的三元耦合混色,构建获得全色域网格化环状颜色模型,有效提高了色彩获得精度。The technical problem to be solved by the present invention is to provide a seven-primary color fiber full color gamut color mixing mode and a circular grid color matching model construction, using six color fibers and one gray fiber as the primary color fibers, and applying a grid discrete configuration method. For the ternary coupling color mixing of two colored fibers and one gray fiber, a full-color gamut gridded annular color model is constructed, which effectively improves the accuracy of color acquisition.
本发明为了解决上述技术问题采用以下技术方案:本发明设计了七基色纤维全色域混色模式及圆环状网格化配色模型构建,包括如下步骤:In order to solve the above technical problems, the present invention adopts the following technical solutions: The present invention designs a seven-primary fiber full color gamut color mixing mode and a circular grid color matching model construction, which includes the following steps:
步骤A.基于彼此相同质量、且色相差60°的六种彩色纤维,以及相同质量的灰色纤维,构成七基色纤维,然后进入步骤B;Step A. Based on six colored fibers of the same quality and with a color difference of 60°, and gray fibers of the same quality, seven primary color fibers are formed, and then proceed to step B;
步骤B.基于纤维质量所对应的预设基准离散数,以七基色纤维中任意两种彩色纤维与灰色纤维的组合,构成的六种三元混色组合,并构建各三元混色组合分别所对应顶格为灰色、底边两端格分别对应两种彩色的三元耦合混色质量金字塔网格化模型,然后进入步骤C;Step B. Based on the preset reference discrete number corresponding to the fiber quality, six three-dimensional color mixing combinations are composed of any two color fibers and gray fibers among the seven primary color fibers, and the corresponding three-dimensional color mixing combinations are constructed. The top grid is gray and the two bottom grids correspond to the two-color ternary coupled color mixed mass pyramid grid model, and then enter step C;
步骤C.针对各三元混色组合分别所对应的三元耦合混色质量金字塔网格化模型,以模型之间相同行首尾相同网格保留其中一个网格的方式,实现模型之间相同行的拼接,构成七基色所对应的全色域网 格化色谱,然后进入步骤D;Step C. For the three-element coupling color-mixing quality pyramid grid model corresponding to each three-element color mixing combination, the splicing of the same rows between models is achieved by retaining one of the grids with the same grid at the beginning and end of the same row between the models. , forming a full-color gamut gridded chromatogram corresponding to the seven primary colors, and then enter step D;
步骤D.针对全色域网格化色谱,按扭弯成同心圆方式,构建七基色所对应全色域网格化环状颜色模型。Step D. Aiming at the full-color gamut gridded chromatogram, twist it into concentric circles to construct a full-color gamut gridded annular color model corresponding to the seven primary colors.
本发明还要解决的技术问题是提供七基色纤维全色域混色模式及圆环状网格化配色模型构建的彩色纱纺制方法,基于三通道混色数控纺纱***,针对七基色纤维所构成的六种三元混色组合,执行三元混色组合纤维的数字化纺纱,实现所对应全色域彩色纱的纺制,获得高精度纺纱。The technical problem to be solved by the present invention is to provide a color yarn spinning method based on the seven-primary color fiber full-color gamut color mixing model and the annular grid color matching model. Based on the three-channel color mixing CNC spinning system, the seven-primary color fiber is composed of Six three-dimensional color mixing combinations are used to perform digital spinning of three-dimensional color mixing combination fibers to achieve the spinning of corresponding full-color gamut color yarns and obtain high-precision spinning.
本发明为了解决上述技术问题采用以下技术方案:本发明设计了七基色纤维全色域混色模式及圆环状网格化配色模型构建的彩色纱纺制方法,基于三通道混色数控纺纱***,结合其中三个后罗拉、一个中罗拉、一个前罗拉、钢领板分别一一对应基于伺服驱动器经伺服电机的控制,根据七基色所对应全色域网格化环状颜色模型,分别针对由七基色纤维α、β、γ、δ、ε、ζ、O所构成的六种三元混色组合,针对三元混色组合所对应的三种纤维进行数字化纺纱;其中,基于j
1=1,2,3,4时,μ
m=6×(5-j
1),μ=1,2,……,μ
m;以及j
1=5时,μ=μ
m=1,j
2=1;设喂入三通道混色数控纺纱***的三种纤维分别为o,X,Z;
In order to solve the above technical problems, the present invention adopts the following technical solutions: The present invention designs a color yarn spinning method constructed with a full color gamut color mixing mode of seven primary color fibers and a circular grid color matching model, based on a three-channel color mixing CNC spinning system. Combined with the one-to-one correspondence of three back rollers, one middle roller, one front roller and the ring plate, based on the control of the servo drive and the servo motor, according to the full color gamut gridded annular color model corresponding to the seven primary colors, respectively for the Six three-dimensional color mixing combinations composed of seven primary color fibers α, β, γ, δ, ε, ζ, and O are digitally spun for the three fibers corresponding to the three-dimensional color mixing combination; among them, based on j 1 = 1, When 2, 3, and 4, μ m =6×(5-j 1 ), μ = 1, 2,..., μ m ; and when j 1 =5, μ = μ m =1, j 2 =1; Assume that the three fibers fed into the three-channel mixed-color CNC spinning system are o, X, and Z;
当μ=1~μ
m/6时,则喂入三通道混色数控纺纱***的三种纤维o,X,Z分别为o,β,α;
When μ=1~μ m /6, the three fibers o, X and Z fed into the three-channel mixed-color CNC spinning system are o, β and α respectively;
当μ=μ
m/6~2μ
m/6时,则喂入三通道混色数控纺纱***的三种纤维o,X,Z分别为o,γ,β;
When μ=μ m /6~2μ m /6, the three fibers o, X and Z fed into the three-channel mixed-color CNC spinning system are o, γ and β respectively;
当μ=2μ
m/6~3μ
m/6时,则喂入三通道混色数控纺纱***的三种纤维o,X,Z分别为o,δ,γ;
When μ = 2μ m /6 ~ 3μ m /6, the three fibers o, X and Z fed into the three-channel mixed-color CNC spinning system are o, δ and γ respectively;
当μ=3μ
m/6~4μ
m/6时,则喂入三通道混色数控纺纱***的三种纤维o,X,Z分别为o,ε,δ;
When μ = 3μ m /6 ~ 4μ m /6, the three fibers o, X and Z fed into the three-channel mixed-color CNC spinning system are o, ε and δ respectively;
当μ=4μ
m/6~5μ
m/6时,则喂入三通道混色数控纺纱***的三种纤维o,X,Z分别为o,ζ,ε;
When μ = 4μ m /6 ~ 5μ m /6, the three fibers o, X and Z fed into the three-channel mixed-color CNC spinning system are o, ζ and ε respectively;
当μ=5μ
m/6~μ
m时,则喂入三通道混色数控纺纱***的三种纤维o,X,Z分别为o,ζ,α;
When μ=5μ m /6~μ m , the three fibers o, X and Z fed into the three-channel mixed-color CNC spinning system are o, ζ, α respectively;
基于牵伸通道前罗拉线速度为V
q(j
1,μ),三个后罗拉线速度为V
ho(j
1,μ),V
hX(j
1,μ),V
hZ(j
1,μ),三个通道牵伸比为E
o(j
1,μ),E
X(j
1,μ),E
Z(j
1,μ),牵伸后三根纤维密度ρ'
o(j
1,μ),ρ'
X(j
1,μ),ρ'
Z(j
1,μ),各纤维在成纱中的混纺比为λ
o(j
1,μ),λ
X(j
1,μ),λ
Z(j
1,μ);
Based on the linear speed of the front roller in the drafting channel is V q (j 1 ,μ), the linear speed of the three back rollers is V ho (j 1 ,μ), V hX (j 1 ,μ), V hZ (j 1 ,μ) ), the drafting ratio of the three channels is E o ( j 1 ,μ) , E ),ρ' X (j 1 ,μ),ρ' Z (j 1 ,μ), the mixing ratio of each fiber in the yarn is λ o (j 1 , μ), λ λ Z (j 1 ,μ);
则三通道牵伸比如下:Then the three-channel draft ratio is as follows:
令ρ
o=ρ
X=ρ
Z,则上式简化为:
Let ρ o =ρ X =ρ Z , then the above formula is simplified to:
其中,μ=1,3,...,21,24;j
1=1,2,3,4,5;μ≥j
1;
Among them, μ=1,3,...,21,24; j 1 =1,2,3,4,5; μ≥j 1 ;
其中基于三个独立驱动的后罗拉分别喂入三元混色组合所对应的三种纤维o,X,Z,则在前罗拉钳口汇合、并进入加捻机构进行加捻行成的三通道混色纱的线密度ρ
y为:
Among them, three independently driven back rollers feed the three types of fibers o, The linear density ρ y of the yarn is:
并且其中将三根异步牵伸得到的纤维合并加捻形成纱线,各纤维o,X,Z在成纱中的混纺比λ
o(j
1,μ),λ
X(j
1,μ),λ
Z(j
1,μ)为:
And the three fibers obtained by asynchronous drafting are combined and twisted to form a yarn. The blending ratio of each fiber o, X, Z in the yarn is λ o (j 1 , μ), λ X (j 1 , μ), λ Z (j 1 ,μ) is:
其中,λ
o(j
1,μ)+λ
X(j
1,μ)+λ
Z(j
1,μ)=1,μ=1,3,...,21,24;j
1=1,2,3,4,5;μ≥j
1;
Among them , λ o ( j 1 ,μ) + λ 2,3,4,5;μ≥j 1 ;
基于成纱颜色由各纤维的颜色值、以及其混纺比决定,则成纱颜色C
y(j1,μ)=(C
r,C
g,C
b)
T如下:
Based on the fact that the color of the yarn is determined by the color value of each fiber and its blending ratio, the color of the yarn C y (j1, μ) = (C r , C g , C b ) T is as follows:
则基于七基色所对应全色域网格化环状颜色模型,进行数字化纺纱获得的全色域颜色矩阵如下:Based on the full-color gamut gridded annular color model corresponding to the seven primary colors, the full-color gamut color matrix obtained by digital spinning is as follows:
本发明所述七基色纤维全色域混色模式及圆环状网格化配色模型构建及彩色纱纺制方法,采用以上技术方案与现有技术相比,具有以下技术效果:The seven-primary color fiber full color gamut color mixing mode and circular grid color matching model construction and color yarn spinning method of the present invention have the following technical effects compared with the existing technology by adopting the above technical solutions:
本发明所设计七基色纤维全色域混色模式及圆环状网格化配色模型构建,首先以同质量的六种彩色纤维、以及灰色纤维,构成七基色纤维;接着应用网格化离散配置方式,针对六种三元混色组合下两两彩色纤维与灰色纤维的耦合混色,构建各三元耦合混色质量金字塔网格化模型;然后以模型之间相同行的拼接,构成七基色所对应的全色域网格化色谱;最后应用按扭弯成同心圆方式,构建七基色所对应全 色域网格化环状颜色模型;并进一步设计彩色纱纺制方法,基于三通道混色数控纺纱***,根据七基色所对应全色域网格化环状颜色模型,针对各三元混色组合下的三种彩色纤维进行数字化纺纱,实现七基色所对应全色域彩色纱的纺制,能够高效实现数字纺纱,并提高纺纱色彩的精度。The seven-primary color fiber full-color gamut color mixing mode and circular grid color matching model designed in this invention are constructed. First, six kinds of color fibers of the same quality and gray fibers are used to form the seven-primary color fiber; then the grid discrete configuration method is used , for the coupled color mixing of pairs of colored fibers and gray fibers under six three-element color mixing combinations, a pyramid grid model of each three-element coupling color mixing quality is constructed; then the same rows between the models are spliced to form a full set of seven primary colors. Color gamut gridded chromatography; finally, the button was twisted into concentric circles to construct a full color gamut gridded annular color model corresponding to the seven primary colors; and further designed a color yarn spinning method based on a three-channel color mixing CNC spinning system , based on the full-color gamut meshed annular color model corresponding to the seven primary colors, digital spinning is performed on the three colored fibers under each three-dimensional color mixing combination to achieve the spinning of full-color gamut colored yarn corresponding to the seven primary colors, which can be efficient Realize digital spinning and improve the accuracy of spinning colors.
图1是本发明所设计中各三元混色组合分别所对应三元耦合混色质量金字塔网格化示意;Figure 1 is a schematic diagram of the three-dimensional coupling color mixing quality pyramid grid corresponding to each three-dimensional color mixing combination in the design of the present invention;
图2是本发明实施例中各三元混色组合分别所对应三元耦合混色质量金字塔网格化示意;Figure 2 is a schematic diagram of the pyramid grid of the three-element coupling color mixing quality corresponding to each three-element color mixing combination in the embodiment of the present invention;
图3是本发明所设计中七基色所对应的全色域网格化色谱示意;Figure 3 is a schematic diagram of the full color gamut gridded chromatogram corresponding to the seven primary colors designed in the present invention;
图4是本发明实施例中七基色所对应的全色域网格化色谱示意;Figure 4 is a schematic diagram of the full color gamut gridded chromatogram corresponding to the seven primary colors in the embodiment of the present invention;
图5是本发明所设计中七基色所对应全色域网格化环状颜色模型示意;Figure 5 is a schematic diagram of the full-color gamut gridded annular color model corresponding to the seven primary colors designed in the present invention;
图6是本发明实施例中七基色所对应全色域网格化环状颜色模型示意;Figure 6 is a schematic diagram of a full-color gamut gridded annular color model corresponding to the seven primary colors in the embodiment of the present invention;
图7是本发明实施例1中七基色所对应的全色域网格化色谱示意;Figure 7 is a schematic diagram of the full color gamut gridded chromatogram corresponding to the seven primary colors in Embodiment 1 of the present invention;
图8是本发明实施例1中七基色所对应全色域网格化环状颜色模型示意;Figure 8 is a schematic diagram of a full-color gamut gridded annular color model corresponding to seven primary colors in Embodiment 1 of the present invention;
图9是本发明实施例1中彩度不变、色相变化的系列化彩色纱线示意;Figure 9 is a schematic diagram of a series of colored yarns with constant chroma and changing hue in Embodiment 1 of the present invention;
图10是本发明实施例3中色相不变明度变化的系列化彩色纱线;Figure 10 is a series of colored yarns whose hue does not change in brightness in Example 3 of the present invention;
图11是本发明实施例4中色相变化、彩度变化的系列化彩色纱线。Figure 11 is a series of colored yarns with changes in hue and saturation in Example 4 of the present invention.
下面结合说明书附图对本发明的具体实施方式作进一步详细的说明。The specific embodiments of the present invention will be described in further detail below with reference to the accompanying drawings.
本发明所设计一种基于七基色纤维混色纺纱的全色域网格化色谱构建方法,实际应用当中,在纺织品配色、调色、染色过程中,需要从色相、明度及饱和度三个维度进行色彩的调控,一般利用两组相邻色彩进行混色来调控色相变化,利用一组彩色与一组无彩色混色调控明度变化,利用两组组以上近邻色与一组以上无彩色混色调控彩度变化。为了获得较为丰富的色相、明度及彩度的调控范围,本发明设计选用六种彩色纤维(色相差控制在60°左右),以及选择一种无彩纤维(白、灰、黑一种)作为混色用基础纤维,实际应用中,按如下步骤A至步骤D执行。This invention designs a full-color gamut gridded chromatogram construction method based on seven primary color fiber mixed color spinning. In practical application, in the process of color matching, color mixing and dyeing of textiles, it is necessary to consider the three dimensions of hue, lightness and saturation. For color control, generally two groups of adjacent colors are used to mix colors to control hue changes, one group of colors and one group of achromatic colors are used to mix to control brightness changes, and two or more groups of adjacent colors and one or more achromatic colors are used to mix the chroma. Variety. In order to obtain a richer control range of hue, lightness and chroma, the present invention is designed to use six kinds of colored fibers (the hue difference is controlled at about 60°), and one kind of achromatic fiber (white, gray and black) as the Basic fiber is used for color mixing. In actual application, follow steps A to D as follows.
步骤A.基于彼此相同质量、且色相差60°的六种彩色纤维,以及相同质量的灰色纤维,构成七基色纤维,然后进入步骤B。Step A. Based on six colored fibers of the same quality and with a color difference of 60°, and gray fibers of the same quality, seven primary color fibers are formed, and then proceed to step B.
实际应用中,优选染料(活性染料、酸性染料、分散染料及其它适用染料),优化得色率高、色彩纯净,色相差约60°左右的六组彩色染料,例如品红、青、黄、红、绿、蓝和灰色染料,并经过开松、除杂、混合均匀、精炼、漂白的天然纤维或者化学纤维进行染色,优化染色工艺分别获取色彩纯净度最高的六组彩色纤维α,β,γ,δ,ε,ζ和一组灰色(无彩色)样纤维O作为混色用基色纤维,称取这七组基色纤维 的重量分别为W
α,W
β,W
γ,W
δ,W
ε,W
ζ,W
O。
In practical applications, dyes (reactive dyes, acid dyes, disperse dyes and other suitable dyes) are preferred, and six groups of color dyes with high color yield, pure color and color difference of about 60° are optimized, such as magenta, cyan, yellow, Red, green, blue and gray dyes are dyed with natural fibers or chemical fibers that have been opened, impurity removed, mixed evenly, refined and bleached, and the dyeing process is optimized to obtain six groups of colored fibers with the highest color purity α, β, γ, δ, ε, ζ and a group of gray (achromatic) fibers O are used as primary color fibers for color mixing. The weights of these seven groups of primary color fibers are respectively W α , W β , W γ , W δ , and W ε , W ζ ,W O .
步骤B.基于纤维质量所对应的预设基准离散数,以七基色纤维中任意两种彩色纤维与灰色纤维的组合,构成的六种三元混色组合,并构建各三元混色组合分别所对应顶格为灰色、底边两端格分别对应两种彩色的三元耦合混色质量金字塔网格化模型,然后进入步骤C。Step B. Based on the preset reference discrete number corresponding to the fiber quality, six three-dimensional color mixing combinations are composed of any two color fibers and gray fibers among the seven primary color fibers, and the corresponding three-dimensional color mixing combinations are constructed. The top grid is gray and the two bottom grids correspond to the two-color ternary coupled color mixed mass pyramid grid model, and then enter step C.
应用中,上步骤B具体执行如下步骤B1至步骤B4。In the application, the above step B specifically executes the following steps B1 to B4.
将上述七基色纤维分别进行离散化处理,分别得到七组数例其通式为:The above-mentioned seven primary color fibers are discretized respectively, and seven groups of numerical examples are obtained respectively. The general formula is:
步骤B1.基于七基色纤维α、β、γ、δ、ε、ζ、O的质量W
α、W
β、W
γ、W
δ、W
ε、W
ζ、W
o,结合纤维质量所对应的预设基准离散数4,以七基色纤维中任意两种彩色纤维与灰色纤维的组合,构成的六种三元混色组合,六种三元混色组合的质量W
oβα(j
1,j
2,j
3)、W
oγβ(j
1,j
2,j
3)、W
oδγ(j
1,j
2,j
3)、W
oεδ(j
1,j
2,j
3)、W
oζε(j
1,j
2,j
3)、W
oαζ(j
1,j
2,j
3)如下,其中,j
1、j
2、j
3=1、2、3、4、5,然后进入步骤B2。
Step B1. Based on the quality W α , W β , W γ , W δ , W ε , W ζ , and W o of the seven primary color fibers α, β, γ , δ , ε , ζ , and O , combined with the predetermined values corresponding to the fiber quality. Assume that the base discrete number is 4, and the six ternary color mixing combinations are formed by combining any two color fibers and gray fibers among the seven primary color fibers. The quality of the six ternary color mixing combinations is W oβα (j 1 ,j 2 ,j 3 ), W oγβ (j 1 ,j 2 ,j 3 ), W oδγ (j 1 ,j 2 ,j 3 ), W oεδ (j 1 ,j 2 ,j 3 ), W oζε (j 1 ,j 2 , j 3 ), W oαζ (j 1 , j 2 , j 3 ) are as follows, where j 1 , j 2 , j 3 =1, 2, 3, 4, 5, and then enter step B2.
基于式(2),当j
1=1时,通过j
2,j
3的变化可分别调控混色样:W
oβα(j
1,j
2,j
3)实现C
α与C
β之间的色相变化;W
oγβ(j
1,j
2,j
3)实现C
β与C
γ之间的色相变化;W
oδγ(j
1,j
2,j
3)实现C
γ与C
δ之间的色相变化;W
oεδ(j
1,j
2,j
3)实现C
δ与C
ε之间的色相变化;W
oζε(j
1,j
2,j
3)实现C
ε与C
ζ之间的色相变化;W
oαζ(j
1,j
2,j
3)实现C
ζ与C
α之间的色相变化。
Based on formula (2), when j 1 =1, the mixed color sample can be adjusted separately through changes in j 2 and j 3 : W oβα (j 1 , j 2 , j 3 ) realizes the hue change between C α and C β ; W oγβ (j 1 , j 2 , j 3 ) realizes the hue change between C β and C γ ; W oδγ (j 1 , j 2 , j 3 ) realizes the hue change between C γ and C δ ; W oεδ (j 1 , j 2 , j 3 ) realizes the hue change between C δ and C ε ; W oζε (j 1 , j 2 , j 3 ) realizes the hue change between C ε and C ζ ; W oαζ ( j 1 , j 2 , j 3 ) realize the hue change between C ζ and C α .
基于式(2),当j
2=1时,通过j
1,j
3的变化可分别调控混色样:W
oβα(j
1,j
2,j
3)实现C
α与C
0之间的明度变化,W
oγβ(j
1,j
2,j
3)实现C
β与C
0之间的明度变化;W
oδγ(j
1,j
2,j
3)实现C
γ与C
o之间的明度变化;W
oεδ(j
1,j
2,j
3)实现C
δ与C
0之间的明度变化,W
oζε(j
1,j
2,j
3)实现C
ε与C
0之间的明度变化;W
oαζ(j
1,j
2,j
3)实现C
ζ与C
o之间的明度变化。
Based on formula (2), when j 2 =1, the mixed color sample can be adjusted separately through changes in j 1 and j 3 : W oβα (j 1 , j 2 , j 3 ) realizes the brightness change between C α and C 0 , W oγβ (j 1 , j 2 , j 3 ) realizes the brightness change between C β and C 0 ; W oδγ (j 1 , j 2 , j 3 ) realizes the brightness change between C γ and C o ; W oεδ (j 1 , j 2 , j 3 ) realizes the brightness change between C δ and C 0 , W oζε (j 1 , j 2 , j 3 ) realizes the brightness change between C ε and C 0 ; W oαζ ( j 1 , j 2 , j 3 ) realize the brightness change between C ζ and C o .
基于式(2),当j
3=1时,通过j
1,j
2的变化可分别调控混色样:W
oβα(j
1,j
2,j
3)实现C
β与C
0之间的明度变 化,W
oγβ(j
1,j
2,j
3)实现C
γ与C
0之间的明度变化;W
oδγ(j
1,j
2,j
3)实现C
δ与C
o之间的明度变化;W
oεδ(j
1,j
2,j
3)实现C
ε与C
0之间的明度变化,W
oζε(j
1,j
2,j
3)实现C
ζ与C
0之间的明度变化;W
oαζ(j
1,j
2,j
3)实现C
α与C
o之间的明度变化。
Based on formula (2), when j 3 =1, the mixed color sample can be adjusted separately through changes in j 1 and j 2 : W oβα (j 1 , j 2 , j 3 ) realizes the brightness change between C β and C 0 , W oγβ (j 1 , j 2 , j 3 ) realizes the brightness change between C γ and C 0 ; W oδγ (j 1 , j 2 , j 3 ) realizes the brightness change between C δ and C o ; W oεδ (j 1 , j 2 , j 3 ) realizes the brightness change between C ε and C 0 , W oζε (j 1 , j 2 , j 3 ) realizes the brightness change between C ζ and C 0 ; W oαζ ( j 1 , j 2 , j 3 ) realize the brightness change between C α and C o .
基于式(2),当j
1,j
2,j
3=1,2,3,…,10,11时,W
oβα(j
1,j
2,j
3)、W
oγβ(j
1,j
2,j
3)、W
oδγ(j
1,j
2,j
3)、W
oεδ(j
1,j
2,j
3)、W
oζε(j
1,j
2,j
3)、W
oαζ(j
1,j
2,j
3)实现(C
α+C
0)、(C
β+C
0)、(C
γ+C
0)、(C
δ+C
0)、(C
ε+C
0)、(C
ζ+C
0),之间以及(C
α+C
β),(C
β+C
γ),(C
γ+C
δ),(C
δ+C
ε),(C
ε+C
ζ),(C
ζ+C
α)与C
o之间的彩度变化。
Based on formula (2), when j 1 , j 2 , j 3 =1,2,3,…,10,11, W oβα (j 1 ,j 2 ,j 3 ), W oγβ (j 1 ,j 2 ,j 3 ), W oδγ (j 1 ,j 2 ,j 3 ), W oεδ (j 1 ,j 2 ,j 3 ), W oζε (j 1 ,j 2 ,j 3 ), W oαζ (j 1 , j 2 , j 3 ) realize (C α +C 0 ), (C β +C 0 ), (C γ +C 0 ), (C δ +C 0 ), (C ε +C 0 ), (C ζ +C 0 ), and between (C α +C β ), (C β +C γ ), (C γ +C δ ), (C δ +C ε ), (C ε +C ζ ), (C The chroma change between ζ +C α ) and C o .
根据式(2)可知,七基色纤维三元组合混色各子样的重量与基色纤维的基准重量有关,与基准离散数有关,还与离散序号有关。如果混色过程中,对基色纤维基准重量、基准离散数和离散序号不加约束,则混合子样的重量,W
oβα(j
1,j
2,j
3),W
oγβ(j
1,j
2,j
3),W
oδγ(j
1,j
2,j
3),W
oεδ(j
1,j
2,j
3),W
oζε(j
1,j
2,j
3),W
oαζ(j
1,j
2,j
3)是一个非恒定的变量。为了分析混色过程中色纤维混合比例对最终混色色彩的影响,需要使各混合子样重量为恒量,从而可以单因素方式考察三原色纤维混合比对混合色彩的影响。为此需要建立对基色纤维基准重量、基准离散数和离散序号的约束条件,以保障混色过程中各混合子样的重量保持恒定。
According to formula (2), it can be seen that the weight of each sub-sample of the three-dimensional combination of seven primary color fibers is related to the reference weight of the primary color fiber, the reference discrete number, and the discrete serial number. If during the color mixing process, there are no constraints on the base weight, base discrete number and discrete sequence number of the primary color fiber, then the weight of the mixed sample, W oβα (j 1 ,j 2 ,j 3 ), W oγβ (j 1 ,j 2 , j 3 ),W oδγ (j 1 ,j 2 ,j 3 ),W oεδ (j 1 ,j 2 ,j 3 ),W oζε (j 1 ,j 2 ,j 3 ),W oαζ (j 1 ,j 2 ,j 3 ) is a non-constant variable. In order to analyze the influence of the mixing ratio of colored fibers on the final mixed color during the color mixing process, it is necessary to make the weight of each mixed sample constant, so that the influence of the mixing ratio of the three primary color fibers on the mixed color can be investigated in a single-factor manner. To this end, it is necessary to establish constraints on the base weight, base discrete number and discrete sequence number of the primary color fiber to ensure that the weight of each mixed sample remains constant during the color mixing process.
为此定义耦合混色的定义如下:多元基色纤维各离散重量进行组合混色过程中,设各基色纤维的基准重量都相等,其基准离散数也都相等,当各基色纤维的离散序号满足特定约束条件时,可保证多基色纤维混色子样的重量保持恒定且与其基准重量相等,并使多基色纤维的混合比在0%~100%范围内梯度变化,把满足该条件的多元基色纤维的混合模式定义为多元基色纤维的耦合混色。For this purpose, the definition of coupled color mixing is as follows: In the process of combined color mixing of discrete weights of multi-element primary color fibers, it is assumed that the reference weights of each primary color fiber are equal, and their reference discrete numbers are also equal. When the discrete serial numbers of each primary color fiber satisfy specific constraints When , it can be ensured that the weight of the multi-primary color fiber mixed color sample remains constant and equal to its base weight, and the mixing ratio of the multi-primary color fiber can be gradient changed in the range of 0% to 100%. The mixing mode of the multi-primary color fiber that meets this condition It is defined as the coupled color mixing of multi-primary color fibers.
步骤B2.根据七基色纤维α、β、γ、δ、ε、ζ、O的质量W
α、W
β、W
γ、W
δ、W
ε、W
ζ、W
o均等于W,以及六种三元混色组合的质量W
oβα(j
1,j
2,j
3)、W
oγβ(j
1,j
2,j
3)、W
oδγ(j
1,j
2,j
3)、W
oεδ(j
1,j
2,j
3)、W
oζε(j
1,j
2,j
3)、W
oαζ(j
1,j
2,j
3)均等于W,则j
3=7-j
1-j
2,其中,j
1、j
2=1、2、3、4、5,(j
1+j
2)≤6,带入式(2)进行更新,获得如下式(4),然后进入步骤B3。
Step B2. According to the mass W α , W β , W γ , W δ , W ε , W ζ , and W o of the seven primary color fibers α, β , γ, δ , ε , ζ , and O are all equal to W, and the six three The quality of the element mixed color combination W oβα (j 1 ,j 2 ,j 3 ), W oγβ (j 1 ,j 2 ,j 3 ), W oδγ (j 1 ,j 2 ,j 3 ), W oεδ (j 1 , j 2 ,j 3 ), W oζε (j 1 ,j 2 ,j 3 ), W oαζ (j 1 ,j 2 ,j 3 ) are all equal to W, then j 3 =7-j 1 -j 2 , where, j 1 , j 2 =1, 2, 3, 4, 5, (j 1 +j 2 )≤6, enter equation (2) to update, obtain the following equation (4), and then proceed to step B3.
步骤B3.根据六种三元混色组合的质量W
oβα(j
1,j
2,j
3)、W
oγβ(j
1,j
2,j
3)、W
oδγ(j
1,j
2,j
3)、W
oεδ(j
1,j
2,j
3)、W
oζε(j
1,j
2,j
3)、W
oαζ(j
1,j
2,j
3)所对应的式(4),分别针对各三元混色组合,以顶格为灰色、底边两端格分别对应两种彩色,构建各三元混色组合分别所对应的三元耦合混色质量金字塔网格化模型,如图1所示, 然后进入步骤B4。
Step B3. According to the qualities W oβα (j 1 ,j 2 ,j 3 ), W oγβ (j 1 ,j 2 ,j 3 ), W oδγ (j 1 ,j 2 ,j 3 ) of six ternary color mixing combinations , W oεδ (j 1 ,j 2 ,j 3 ), W oζε (j 1 ,j 2 ,j 3 ), W oαζ (j 1 ,j 2 ,j 3 ) corresponding to the formula (4), respectively for each For the three-dimensional color mixing combination, the top grid is gray and the two bottom grids correspond to two colors respectively. Construct the three-dimensional coupling color mixing quality pyramid grid model corresponding to each three-dimensional color mixing combination, as shown in Figure 1, and then enter Step B4.
实际应用中,若取七基色纤维色彩值为M(255,0,0)、Y(255,255,0)、G(0,255,0)、C(0,255,255),B(0,0,255)、M(255,0,255)、E(128,128,128)则混色结果如图2所示。In practical applications, if the color values of the seven primary color fibers are M(255,0,0), Y(255,255,0), G(0,255,0), C(0,255,255), B(0,0,255), M(255 ,0,255) and E(128,128,128), the color mixing results are shown in Figure 2.
步骤B4.获得七基色纤维α、β、γ、δ、ε、ζ、O分别对应各三元混色组合下的混合比λ
α(j
1,j
2)、λ
β(j
1,j
2)、λ
γ(j
1,j
2)、λ
δ(j
1,j
2)、λ
ε(j
1,j
2)、λ
ζ(j
1,j
2)、λ
o(j
1,j
2)如下:
Step B4. Obtain the mixing ratios λ α (j 1 , j 2 ) and λ β (j 1 , j 2 ) of the seven primary color fibers α, β, γ, δ, ε, ζ, and O respectively corresponding to each ternary color mixing combination. , λ γ (j 1 ,j 2 ), λ δ (j 1 ,j 2 ), λ ε (j 1 ,j 2 ), λ ζ (j 1 ,j 2 ), λ o (j 1 ,j 2 ) as follows:
W
oβα(j
1,j
2)中:λ
o(j
1,j
2)=(j
1-1)/4,λ
β(j
1,j
2)=(j
2-1)/4,λ
α(j
1,j
2)=(6-j
1-j
2)/4 (5)
In W oβα (j 1 ,j 2 ): λ o (j 1 ,j 2 )=(j 1 -1)/4, λ β (j 1 ,j 2 )=(j 2 -1)/4, λ α (j 1 ,j 2 )=(6-j 1 -j 2 )/4 (5)
W
oγβ(j
1,j
2)中:λ
o(j
1,j
2)=(j
1-1)/4,λ
γ(j
1,j
2)=(j
2-1)/4,λ
β(j
1,j
2)=(6-j
1-j
2)/4 (6)
In W oγβ (j 1 , j 2 ): λ o (j 1 , j 2 ) = (j 1 -1)/4, λ γ (j 1 , j 2 ) = (j 2 -1)/4, λ β (j 1 ,j 2 )=(6-j 1 -j 2 )/4 (6)
W
oδγ(j
1,j
2)中:λ
o(j
1,j
2)=(j
1-1)/4,λ
δ(j
1,j
2)=(j
2-1)/4,λ
γ(j
1,j
2)=(6-j
1-j
2)/4 (7)
In W oδγ (j 1 , j 2 ): λ o (j 1 , j 2 ) = (j 1 -1)/4, λ δ (j 1 , j 2 ) = (j 2 -1)/4, λ γ (j 1 ,j 2 )=(6-j 1 -j 2 )/4 (7)
W
oεδ(j
1,j
2)中:λ
o(j
1,j
2)=(j
1-1)/4,λ
ε(j
1,j
2)=(j
2-1)/4,λ
δ(j
1,j
2)=(6-j
1-j
2)/4 (8)
In W oεδ (j 1 , j 2 ): λ o (j 1 , j 2 ) = (j 1 -1)/4, λ ε (j 1 , j 2 ) = (j 2 -1)/4, λ δ (j 1 ,j 2 )=(6-j 1 -j 2 )/4 (8)
W
oζε(j
1,j
2)中:λ
o(j
1,j
2)=(j
1-1)/4,λ
ζ(j
1,j
2)=(j
2-1)/4,λ
ε(j
1,j
2)=(6-j
1-j
2)/4 (9)
In W oζε (j 1 , j 2 ): λ o (j 1 , j 2 ) = (j 1 -1)/4, λ ζ (j 1 , j 2 ) = (j 2 -1)/4, λ ε (j 1 ,j 2 )=(6-j 1 -j 2 )/4 (9)
W
oαζ(j
1,j
2)中:λ
o(j
1,j
2)=(j
1-1)/4,λ
α(j
1,j
2)=(j
2-1)/4,λ
ζ(j
1,j
2)=(6-j
1-j
2)/4 (10)。
In W oαζ (j 1 ,j 2 ): λ o (j 1 ,j 2 )=(j 1 -1)/4, λ α (j 1 ,j 2 )=(j 2 -1)/4, λ ζ (j 1 ,j 2 )=(6-j 1 -j 2 )/4 (10).
基于颜色科学及其色彩学理论,颜色包涵色相、明度及彩度等三个维度。色彩的调控及配色,通常要从色相、明度及彩度等三个维度在全色域范围内进行调控。色彩的全色域是由0°~360°变化的色相角、0~1变化的明度、0~1变化的彩度所定义的颜色空间决定的。所谓色彩的全色域调控,是指基于调控多元基色比例,实现色相角在0°~360°范围内变化、明度在0~1范围内变化、彩度在0~1范围内变化的色彩调控方法。Based on color science and its color theory, color includes three dimensions: hue, lightness and chroma. Color control and matching are usually controlled within the full color gamut from three dimensions: hue, lightness and chroma. The full color gamut of color is determined by the color space defined by the hue angle that changes from 0° to 360°, the lightness that changes from 0 to 1, and the chroma that changes from 0 to 1. The so-called full color gamut control of color refers to the color control that realizes the change of hue angle in the range of 0° to 360°, the change of brightness in the range of 0 to 1, and the change of chroma in the range of 0 to 1 based on the control of the proportion of multiple primary colors. method.
前述构建的耦合混色网格化模型包涵15个网格点,通过变动网格点坐标可变更七基色彩色纤维α,β,γ,δ,ε,ζ,o的混合比例,并分别在α-β-0,β-γ-0,γ-δ-0,δ-ε-0,ε-ζ-0,ζ-α-0等六个色域范围内调控色彩的色相、明度及彩度的变化。但上述调控手段属于局部色域调控,无法在全色域范围内调控颜色的色相、明度及彩度变化。为了能在全色域范围内调控颜色变化,实现色相、明度、彩度的数字化精准调控,需要构建全色域的网格化混色模型。The coupled color mixing grid model constructed above contains 15 grid points. By changing the coordinates of the grid points, the mixing ratio of the seven primary color fibers α, β, γ, δ, ε, ζ, and o can be changed, and the mixing ratios of the seven primary color fibers α, β, γ, δ, ε, ζ, and o can be changed respectively in α- Control the hue, lightness and chroma of colors within six color gamuts: β-0, β-γ-0, γ-δ-0, δ-ε-0, ε-ζ-0, ζ-α-0. Variety. However, the above control methods belong to local color gamut control and cannot control changes in hue, brightness and chroma of colors within the full color gamut. In order to control color changes within the full color gamut and achieve precise digital control of hue, brightness, and chroma, it is necessary to construct a gridded color mixing model for the full color gamut.
为此,将六个网格化子模型对应各行首尾相互拼接得到一个由七基色纤维构建的包涵彩色色相α,β,γ,δ,ε,ζ和灰色O等七基色的全色域网格化混色模型,该模型共有61个网格点。通过变动网格点坐标可变更七基色纤维α,β,γ,δ,ε,ζ,o的混合比例,并在α-β-γ-δ-ε-ζ-o全色域范围内统一调控颜色的色相、明度及彩度变化。To this end, six gridded sub-models are spliced end to end corresponding to each row to obtain a full color gamut grid constructed from seven primary color fibers that contains color hues α, β, γ, δ, ε, ζ and gray O. The mixed color model has a total of 61 grid points. By changing the coordinates of the grid points, the mixing ratio of the seven primary color fibers α, β, γ, δ, ε, ζ, and o can be changed, and can be uniformly controlled within the full color gamut of α-β-γ-δ-ε-ζ-o. Changes in hue, lightness and chroma of colors.
步骤C.针对各三元混色组合分别所对应的三元耦合混色质量金字塔网格化模型,以模型之间相同行首尾相同网格保留其中一个网格的方式,实现模型之间相同行的拼接,构成七基色所对应的全色域网格化色谱,然后进入步骤D。Step C. For the three-element coupling color-mixing quality pyramid grid model corresponding to each three-element color mixing combination, the splicing of the same rows between models is achieved by retaining one of the grids with the same grid at the beginning and end of the same row between the models. , forming a full-color gamut gridded chromatogram corresponding to the seven primary colors, and then enter step D.
应用中,上述述步骤C具体执行如下步骤C1至步骤C5。In application, the above-mentioned step C specifically executes the following steps C1 to C5.
步骤C1.根据各三元混色组合分别所对应的三元耦合混色质量金字塔网格化模型,以模型之间相 同行首尾相同网格保留其中一个网格的方式,执行模型之间相同行拼接,以j
1表示拼接后模型的行,μ表示拼接后模型的列,则三原色所对应全色域混和样质量T(j
1,μ)、以及七基色纤维α、β、γ、δ、ε、ζ、O分别对应全色域混和样中的混合比λ
α(j
1,μ)、λ
β(j
1,μ)、λ
γ(j
1,μ)、λ
δ(j
1,μ)、λ
ε(j
1,μ)、λ
ζ(j
1,μ)、λ
o(j
1,μ)如下,然后进入步骤C2。
Step C1. According to the three-dimensional coupling color mixing quality pyramid meshing model corresponding to each three-dimensional color mixing combination, perform the same row splicing between models by retaining one of the grids in the same row at the beginning and end of the model. Let j 1 represent the row of the spliced model, and μ represent the column of the spliced model, then the full color gamut mixture sample mass T (j 1 , μ) corresponding to the three primary colors, and the seven primary color fibers α, β, γ, δ, ε, ζ and O respectively correspond to the mixing ratios λ α (j 1 ,μ), λ β (j 1 ,μ), λ γ (j 1 ,μ), λ δ (j 1 ,μ), in the full-color gamut mixed sample. λ ε (j 1 ,μ), λ ζ (j 1 ,μ), λ o (j 1 ,μ) are as follows, and then proceed to step C2.
当j
1=1,2,3,…,4,μ
m=6×(5-j
1)时:
When j 1 =1,2,3,…,4, μ m =6×(5-j 1 ):
若μ=1,2,…,(μ
m/6-1),(μ
m/6),j
2=μ,则:
If μ=1,2,…,(μ m /6-1),(μ m /6), j 2 =μ, then:
T(j
1,μ)=W
oβα(j
1,j
2),λ
α(j
1,μ),λ
β(j
1,μ),λ
o(j
1,μ) (11)
T(j 1 ,μ)=W oβα (j 1 ,j 2 ),λ α (j 1 ,μ),λ β (j 1 ,μ),λ o (j 1 ,μ) (11)
若μ=(μ
m/6+1),(μ
m/6+2),…,(2×μ
m/6-1),(2×μ
m/6),j
2=μ-μ
m/6,则:
If μ=(μ m /6+1), (μ m /6+2),…, (2×μ m /6-1), (2×μ m /6), j 2 =μ-μ m /6, then:
T(j
1,μ)=W
oγβ(j
1,μ-μ
m/6),λ
o(j
1,μ-μ
m/6),λ
β(j
1,μ-μ
m/6),λ
γ(j
1,μ-μ
m/6) (12)
T(j 1 ,μ)=W oγβ (j 1 ,μ-μ m /6),λ o (j 1 ,μ-μ m /6),λ β (j 1 ,μ-μ m /6), λ γ (j 1 ,μ-μ m /6) (12)
若μ=(2×μ
m/6+1),(2×μ
m/6+2),…,(3×μ
m/6-1),(3×μ
m/6),j
2=μ-2×μ
m/6,则:
If μ=(2×μ m /6+1), (2×μ m /6+2),…, (3×μ m /6-1), (3×μ m /6), j 2 = μ-2×μ m /6, then:
T(j
1,μ)=W
oδγ(j
1,μ-2×μ
m/6),λ
o(j
1,μ-2×μ
m/6),λ
δ(j
1,μ-2×μ
m/6),λ
γ(j
1,μ-2×μ
m/6) (13)
T(j 1 ,μ)=W oδγ (j 1 ,μ-2×μ m /6),λ o (j 1 ,μ-2×μ m /6),λ δ (j 1 ,μ-2× μ m /6),λ γ (j 1 ,μ-2×μ m /6) (13)
若μ=(3×μ
m/6+1),(3×μ
m/6+2),…,(4×μ
m/6-1),4×μ
m/6,j
2=μ-3×μ
m/6,则:
If μ=(3×μ m /6+1), (3×μ m /6+2),…, (4×μ m /6-1), 4×μ m /6, j 2 =μ- 3×μ m /6, then:
T(j
1,μ)=W
oεδ(j
1,μ-3×μ
m/6),λ
o(j
1,μ-3×μ
m/6),λ
ε(j
1,μ-3×μ
m/6),λ
δ(j
1,μ-3×μ
m/6) (14)
T(j 1 ,μ)=W oεδ (j 1 ,μ-3×μ m /6),λ o (j 1 ,μ-3×μ m /6),λ ε (j 1 ,μ-3× μ m /6),λ δ (j 1 ,μ-3×μ m /6) (14)
若μ=(4×μ
m/6+1),(4×μ
m/6+2),…,(5×μ
m/6-1),5×μ
m/6,j
2=μ-4×μ
m/6,则:
If μ=(4×μ m /6+1), (4×μ m /6+2),…, (5×μ m /6-1), 5×μ m /6, j 2 =μ- 4×μ m /6, then:
T(j
1,μ)=W
oζε(j
1,μ-4×μ
m/6),λ
o(j
1,μ-4×μ
m/6),λ
ζ(j
1,μ-4×μ
m/6),λ
ε(j
1,μ-4×μ
m/6) (15)
T(j 1 ,μ)=W oζε (j 1 ,μ-4×μ m /6),λ o (j 1 ,μ-4×μ m /6),λ ζ (j 1 ,μ-4× μ m /6),λ ε (j 1 ,μ-4×μ m /6) (15)
若μ=(5×μ
m/6+1),(5×μ
m/6+2),…,(μ
m-1),μ
m,j
2=μ-5×μ
m/6,则:
If μ=(5×μ m /6+1), (5×μ m /6+2),…,(μ m -1),μ m , j 2 =μ-5×μ m /6, then :
T(j
1,μ)=W
oαζ(j
1,μ-5×μ
m/6),λ
o(j
1,μ-5×μ
m/6),λ
α(j
1,μ-5×μ
m/6),λ
ζ(j
1,μ-5×μ
m/6) (16)
T(j 1 ,μ)=W oαζ (j 1 ,μ-5×μ m /6),λ o (j 1 ,μ-5×μ m /6),λ α (j 1 ,μ-5× μ m /6),λ ζ (j 1 ,μ-5×μ m /6) (16)
当j
1=5时,μ=1,j
2=1,则:
When j 1 =5, μ =1, j 2 =1, then:
T(j
1,μ)=W
oβα(5,1),λ
o(5,1),λ
β(5,1)λ
α(5,1) (17)
T(j 1 ,μ)=W oβα (5,1),λ o (5,1),λ β (5,1)λ α (5,1) (17)
步骤C2.根据式(11)至(17),获得如下:Step C2. According to formulas (11) to (17), the following is obtained:
T(j
1,μ)=W×[λ
α(j
1,μ)λ
β(j
1,μ)λ
γ(j
1,μ)λ
δ(j
1,μ)λ
ε(j
1,μ)λ
ξ(j
1,μ)λ
o(j
1,μ)] (18)
T(j 1 ,μ)=W×[λ α (j 1 ,μ)λ β (j 1 ,μ)λ γ (j 1 ,μ)λ δ (j 1 ,μ)λ ε (j 1 ,μ )λ ξ (j 1 ,μ)λ o (j 1 ,μ)] (18)
并将上述式(18)展开如下,然后进入步骤C3。And expand the above formula (18) as follows, and then proceed to step C3.
取j
1=1时,μ
m=24,μ=1,2,…,23,24;
When j 1 =1, μ m =24, μ =1,2,…,23,24;
当μ=1,2,3,4,;j
2=μ;T(j
1,μ)=W
oβα(j
1,μ);λ
o(j
1,μ),λ
β(j
1,μ),λ
α(j
1,μ);
When μ = 1, 2, 3, 4,; j 2 = μ; T (j 1 , μ) = W oβα (j 1 , μ); λ o (j 1 , μ), λ β (j 1 , μ ),λ α (j 1 ,μ);
当μ=5,6,7,8;j
2=μ-4;T(j
1,μ)=W
oγβ(j
1,μ-4);λ
o(j
1,μ-4),λ
γ(j
1,μ-4),λ
β(j
1,μ-4);
When μ = 5, 6, 7, 8; j 2 = μ-4; T (j 1 , μ) = W oγβ (j 1 , μ-4); λ o (j 1 , μ-4), λ γ (j 1 ,μ-4),λ β (j 1 ,μ-4);
当μ=9,10,11,12;j
2=μ-8;T(j
1,μ)=W
oδγ(j
1,μ-8);λ
O(j
1,μ-8),λ
δ(j
1,μ-8),λ
γ(j
1,μ-8);
When μ = 9, 10, 11, 12; j 2 = μ-8; T (j 1 , μ) = W oδγ (j 1 , μ-8); λ O (j 1 , μ-8), λ δ (j 1 ,μ-8),λ γ (j 1 ,μ-8);
当μ=13,14,15,16;j
2=μ-12;T(j
1,μ)=W
oεδ(j
1,μ-12);λ
o(j
1,μ-12),λ
ε(j
1,μ-12),λ
δ(j
1,μ-12);
When μ = 13, 14, 15, 16; j 2 = μ-12; T (j 1 , μ) = W oεδ (j 1 , μ-12); λ o (j 1 , μ-12), λ ε (j 1 ,μ-12),λ δ (j 1 ,μ-12);
当μ=17,18,19,20;j
2=μ-16;T(j
1,μ)=W
oζε(j
1,μ-16);λ
o(j
1,μ-16),λ
ζ(j
1,μ-16),λ
ε(j
1,μ-16);
When μ = 17, 18, 19, 20; j 2 = μ-16; T (j 1 , μ) = W oζε (j 1 , μ-16); λ o (j 1 , μ-16), λ ζ (j 1 ,μ-16),λ ε (j 1 ,μ-16);
当μ=21,22,23,24;j
2=μ-20;T(j
1,μ)=W
oαζ(j
1,μ-20);λ
o(j
1,μ-20),λ
α(j
1,μ-20),λ
ζ(j
1,μ-20);
When μ = 21, 22, 23, 24; j 2 = μ-20; T (j 1 , μ) = W oαζ (j 1 , μ-20); λ o (j 1 , μ-20), λ α (j 1 ,μ-20),λ ζ (j 1 ,μ-20);
取j
1=2时,μ
m=18,μ=1,2,…,17,18;
When j 1 =2, μ m =18, μ =1,2,…,17,18;
当μ=1,2,3,;j
2=μ;T(j
1,μ)=W
oβα(j
1,μ);λ
o(j
1,μ),λ
β(j
1,μ),λ
α(j
1,μ);
When μ = 1, 2, 3,; j 2 = μ; T (j 1 , μ) = W oβα (j 1 , μ); λ o (j 1 , μ), λ β (j 1 , μ), λ α (j 1 ,μ);
当μ=4,5,6;j
2=μ-3;T(j
1,μ)=W
oγβ(j
1,μ-3);λ
o(j
1,μ-3),λ
γ(j
1,μ-3),λ
β(j
1,μ-3);
When μ=4,5,6; j 2 =μ-3; T(j 1 ,μ)=W oγβ (j 1 ,μ-3); λ o (j 1 ,μ-3),λ γ (j 1 ,μ-3),λ β (j 1 ,μ-3);
当μ=7,8,9;j
2=μ-6;T(j
1,μ)=W
oδγ(j
1,μ-6);λ
O(j
1,μ-6),λ
δ(j
1,μ-6),λ
γ(j
1,μ-6);
When μ=7,8,9; j 2 =μ-6; T(j 1 ,μ)=W oδγ (j 1 ,μ-6); λ O (j 1 ,μ-6),λ δ (j 1 ,μ-6),λ γ (j 1 ,μ-6);
当μ=10,11,12;j
2=μ-9;T(j
1,μ)=W
oεδ(j
1,μ-9);λ
o(j
1,μ-9),λ
ε(j
1,μ-9),λ
δ(j
1,μ-9);
When μ = 10, 11, 12; j 2 = μ-9; T (j 1 , μ) = W oεδ (j 1 , μ-9); λ o (j 1 , μ-9), λ ε (j 1 ,μ-9),λ δ (j 1 ,μ-9);
当μ=13,14,15;j
2=μ-12;T(j
1,μ)=W
oζε(j
1,μ-12);λ
o(j
1,μ-12),λ
ζ(j
1,μ-12),λ
ε(j
1,μ-12);
When μ = 13, 14, 15; j 2 = μ-12; T (j 1 , μ) = W oζε (j 1 , μ-12); λ o (j 1 , μ-12), λ ζ (j 1 ,μ-12),λ ε (j 1 ,μ-12);
当μ=16,17,18;j
2=μ-15;T(j
1,μ)=W
oαζ(j
1,μ-15);λ
o(j
1,μ-15),λ
α(j
1,μ-15),λ
ζ(j
1,μ-15);
When μ = 16, 17, 18; j 2 = μ-15; T (j 1 , μ) = W oαζ (j 1 , μ-15); λ o (j 1 , μ-15), λ α (j 1 ,μ-15),λ ζ (j 1 ,μ-15);
取j
1=3时,μ
m=12,μ=1,2,…,11,12;
When j 1 =3, μ m =12, μ =1,2,…,11,12;
当μ=1,2;j
2=μ;T(j
1,μ)=W
oβα(j
1,μ);λ
o(j
1,μ),λ
β(j
1,μ),λ
α(j
1,μ);
When μ = 1, 2; j 2 = μ; T (j 1 , μ) = W oβα (j 1 , μ); λ o (j 1 , μ), λ β (j 1 , μ), λ α ( j 1 ,μ);
当μ=3,4;j
2=μ-2;T(j
1,μ)=W
oγβ(j
1,μ-2);λ
o(j
1,μ-2),λ
γ(j
1,μ-2),λ
β(j
1,μ-2);
When μ=3,4; j 2 =μ-2; T(j 1 ,μ)=W oγβ (j 1 ,μ-2); λ o (j 1 ,μ-2),λ γ (j 1 , μ-2),λ β (j 1 ,μ-2);
当μ=5,6;j
2=μ-4;T(j
1,μ)=W
oδγ(j
1,μ-4);λ
O(j
1,μ-4),λ
δ(j
1,μ-4),λ
γ(j
1,μ-4);
When μ=5,6; j 2 =μ-4; T(j 1 ,μ)=W oδγ (j 1 ,μ-4); λ O (j 1 ,μ-4),λ δ (j 1 , μ-4),λ γ (j 1 ,μ-4);
当μ=7,8;j
2=μ-6;T(j
1,μ)=W
oεδ(j
1,μ-6);λ
o(j
1,μ-6),λ
ε(j
1,μ-6),λ
δ(j
1,μ-6);
When μ=7,8; j 2 =μ-6; T(j 1 ,μ)=W oεδ (j 1 ,μ-6); λ o (j 1 ,μ-6),λ ε (j 1 , μ-6),λ δ (j 1 ,μ-6);
当μ=9,10;j
2=μ-8;T(j
1,μ)=W
oζε(j
1,μ-8);λ
o(j
1,μ-8),λ
ζ(j
1,μ-8),λ
ε(j
1,μ-8);
When μ=9,10; j 2 =μ-8; T(j 1 ,μ)=W oζε (j 1 ,μ-8); λ o (j 1 ,μ-8),λ ζ (j 1 , μ-8),λ ε (j 1 ,μ-8);
当μ=11,12;j
2=μ-10;T(j
1,μ)=W
oαζ(j
1,μ-10);λ
o(j
1,μ-10),λ
α(j
1,μ-10),λ
ζ(j
1,μ-10);
When μ=11,12; j 2 =μ-10; T(j 1 ,μ)=W oαζ (j 1 ,μ-10); λ o (j 1 ,μ-10),λ α (j 1 , μ-10),λ ζ (j 1 ,μ-10);
取j
1=4时,μ
m=6,μ=1,2,…,5,6;
When j 1 =4, μ m =6, μ =1,2,…,5,6;
当μ=1;j
2=μ;T(j
1,μ)=W
oβα(j
1,μ);λ
o(j
1,μ),λ
β(j
1,μ),λ
α(j
1,μ);
When μ = 1; j 2 = μ; T (j 1 , μ) = W oβα (j 1 , μ); λ o (j 1 , μ), λ β (j 1 , μ), λ α (j 1 ,μ);
当μ=2;j
2=μ-1;T(j
1,μ)=W
oγβ(j
1,μ-1);λ
o(j
1,μ-1),λ
γ(j
1,μ-1),λ
β(j
1,μ-1);
When μ=2; j 2 =μ-1; T(j 1 ,μ)=W oγβ (j 1 ,μ-1); λ o (j 1 ,μ-1),λ γ (j 1 ,μ- 1),λ β (j 1 ,μ-1);
当μ=3;j
2=μ-2;T(j
1,μ)=W
oδγ(j
1,μ-2);λ
O(j
1,μ-2),λ
δ(j
1,μ-2),λ
γ(j
1,μ-2);
When μ=3; j 2 =μ-2; T(j 1 ,μ)=W oδγ (j 1 ,μ-2); λ O (j 1 ,μ-2),λ δ (j 1 ,μ- 2),λ γ (j 1 ,μ-2);
当μ=4;j
2=μ-3;T(j
1,μ)=W
oεδ(j
1,μ-3);λ
o(j
1,μ-3),λ
ε(j
1,μ-3),λ
δ(j
1,μ-3);
When μ=4; j 2 =μ-3; T(j 1 ,μ)=W oεδ (j 1 ,μ-3); λ o (j 1 ,μ-3),λ ε (j 1 ,μ- 3),λ δ (j 1 ,μ-3);
当μ=5;j
2=μ-4;T(j
1,μ)=W
oζε(j
1,μ-4);λ
o(j
1,μ-4),λ
ζ(j
1,μ-4),λ
ε(j
1,μ-4);
When μ=5; j 2 =μ-4; T(j 1 ,μ)=W oζε (j 1 ,μ-4); λ o (j 1 ,μ-4),λ ζ (j 1 ,μ- 4),λ ε (j 1 ,μ-4);
当μ=6;j
2=μ-5;T(j
1,μ)=W
oαζ(j
1,μ-5);λ
o(j
1,μ-5),λ
α(j
1,μ-5),λ
ζ(j
1,μ-5);
When μ=6; j 2 =μ-5; T(j 1 ,μ)=W oαζ (j 1 ,μ-5); λ o (j 1 ,μ-5),λ α (j 1 ,μ- 5),λ ζ (j 1 ,μ-5);
取j
1=5时,μ
m=1,μ=1;
When j 1 =5, μ m =1, μ =1;
当μ=1,j
2=1,T(j
1,μ)=W
oβα(5,1),λ
o(5,1),λ
β(5,1)λ
α(5,1);
When μ=1,j 2 =1, T(j 1 ,μ)=W oβα (5,1),λ o (5,1),λ β (5,1)λ α (5,1);
步骤C3.设混合样中七基色纤维α、β、γ、δ、ε、ζ、O的混合比如下:Step C3. Suppose the mixing ratio of the seven primary color fibers α, β, γ, δ, ε, ζ, and O in the mixed sample is as follows:
[λ(j
1,δ)]=[λ
α(j
1,μ)λ
β(j
1,μ)λ
γ(j
1,μ)λ
δ(j
1,μ)λ
ε(j
1,μ)λ
ξ(j
1,μ)λ
o(j
1,μ)]
T (19)。
[λ(j 1 ,δ)]=[λ α (j 1 ,μ)λ β (j 1 ,μ)λ γ (j 1 ,μ)λ δ (j 1 ,μ)λ ε (j 1 ,μ )λ ξ (j 1 ,μ)λ o (j 1 ,μ)] T (19).
根据式(11),当μ=1,2,...,μ
m/6,μ+j
1≤6时,λ
o(j
1,μ)=(j
1-1)/4,λ
β(j
1,μ)=(μ-1)/4,λ
α(j
1,μ)=(6-j
1-μ)/4,则:
According to formula (11), when μ=1,2,...,μ m /6,μ+j 1 ≤6, λ o (j 1 ,μ)=(j 1 -1)/4,λ β (j 1 ,μ)=(μ-1)/4,λ α (j 1 ,μ)=(6-j 1 -μ)/4, then:
[λ(j
1,μ)]=[(6-j
1-μ)/4(μ-1)/4 0 0 0 0(j
1-1)/4]
T (20)
[λ(j 1 ,μ)]=[(6-j 1 -μ)/4(μ-1)/4 0 0 0 0(j 1 -1)/4] T (20)
根据式(12),当μ=(μ
m/6+1),(μ
m/6+2),…,(2μ
m/6),μ+2j
1≤11时,λ
o(j
1,μ)=(j
1-1)/4,λ
γ(j
1,μ)=(j
1+μ-6)/4,
According to equation (12), when μ = (μ m /6+1), (μ m /6+2),…, (2μ m /6), μ+2j 1 ≤11, λ o (j 1 , μ)=(j 1 -1)/4,λ γ (j 1 ,μ)=(j 1 +μ-6)/4,
λ
β(j
1,μ)=(-2j
1-μ+11)/4,则:
λ β (j 1 ,μ)=(-2j 1 -μ+11)/4, then:
[λ(j
1,μ)]=[0(-2j
1-μ+11)/4(j
1+μ-6)/4 0 0 0(j
1-1)/4]
T (21)
[λ(j 1 ,μ)]=[0(-2j 1 -μ+11)/4(j 1 +μ-6)/4 0 0 0(j 1 -1)/4] T (21)
根据式(13),当μ=(2μ
m/6+1),(2μ
m/6+2),…,(3μ
m/6),μ+3j
1≤16时,λ
o(j
1,μ)=(j
1-1)/4,λ
δ(j
1,j
2)=(2j
1+μ-11)/4,
According to formula (13), when μ=(2μ m /6+1), (2μ m /6+2),…, (3μ m /6),μ+3j 1 ≤16, λ o (j 1 , μ)=(j 1 -1)/4, λ δ (j 1 ,j 2 )=(2j 1 +μ-11)/4,
λ
γ(j
1,j
2)=(-3j
1-μ+16)/4,则:
λ γ (j 1 ,j 2 )=(-3j 1 -μ+16)/4, then:
[λ(j
1,μ)]=[0 0(-3j
1-μ+16)/4(2j
1+μ-11)/4 0 0(j
1-1)/4]
T (22)
[λ(j 1 ,μ)]=[0 0(-3j 1 -μ+16)/4(2j 1 +μ-11)/4 0 0(j 1 -1)/4] T (22)
根据式(14),当μ=(3μ
m/6+1),(3μ
m/6+2),…,(4μ
m/6),μ+4j
1≤21时,λ
o(j
1,μ)=(j
1-1)/4,λ
ε(j
1,j
2)=(3j
1+μ-16)/4,
According to equation (14), when μ = (3μ m /6+1), (3μ m /6+2),…, (4μ m /6), μ+4j 1 ≤ 21, λ o (j 1 , μ)=(j 1 -1)/4, λ ε (j 1 ,j 2 )=(3j 1 +μ-16)/4,
λ
δ(j
1,j
2)=(-4j
1-μ+21)/4,则:
λ δ (j 1 ,j 2 )=(-4j 1 -μ+21)/4, then:
[λ(j
1,μ)]=[0 0 0(-4j
1-μ+21)/4(3j
1+μ-16)/4 0(j
1-1)/4]
T (23)
[λ(j 1 ,μ)]=[0 0 0(-4j 1 -μ+21)/4(3j 1 +μ-16)/4 0(j 1 -1)/4] T (23)
根据式(15),当μ=(4μ
m/6+1),(4μ
m/6+2),…,(5μ
m/6),μ+5j
1≤26时,λ
o(j
1,μ)=(j
1-1)/4,λ
ζ(j
1,j
2)=(4j
1+μ-21)/4,
According to equation (15), when μ=(4μ m /6+1), (4μ m /6+2),…, (5μ m /6),μ+5j 1 ≤26, λ o (j 1 , μ)=(j 1 -1)/4,λ ζ (j 1 ,j 2 )=(4j 1 +μ-21)/4,
λ
ε(j
1,j
2)=(-5j
1-μ+26)/4,则:
λ ε (j 1 ,j 2 )=(-5j 1 -μ+26)/4, then:
[λ(j
1,μ)]=[0 0 0 0(-5j
1-μ+26)/4(4j
1+μ-21)/4(j
1-1)/4]
T (24)
[λ(j 1 ,μ)]=[0 0 0 0(-5j 1 -μ+26)/4(4j 1 +μ-21)/4(j 1 -1)/4] T (24)
根据式(16),当μ=(5μ
m/6+1),(5μ
m/6+2),…,(μ
m),μ+6j
1≤31时,λ
o(j
1,μ)=(j
1-1)/4,λ
α(j
1,j
2)=(5j
1+μ-26)/4,
According to equation (16), when μ=(5μ m /6+1), (5μ m /6+2),…,(μ m ),μ+6j 1 ≤31, λ o (j 1 ,μ) =(j 1 -1)/4,λ α (j 1 ,j 2 )=(5j 1 +μ-26)/4,
λ
ζ(j
1,j
2)=(-6j
1-μ+31)/4,则:
λ ζ (j 1 ,j 2 )=(-6j 1 -μ+31)/4, then:
[λ(j
1,μ)]=[(5j
1+μ-26)/4 0 0 0 0(-6j
1-μ+31)/4(j
1-1)/4]
T (25)
[λ(j 1 ,μ)]=[(5j 1 +μ-26)/4 0 0 0 0(-6j 1 -μ+31)/4(j 1 -1)/4] T (25)
则全色域混色模型各子样质量为:Then the quality of each sample of the full color gamut color mixing model is:
全色域网格化混色模型子样的混纺比[λ(j
1,μ)]为:
The blending ratio [λ(j 1 ,μ)] of the full-color gamut gridded color mixing model sample is:
λ(j
1,μ)=[λ
α(j
1,μ)λ
β(j
1,μ)λ
γ(j
1,μ)λ
δ(j
1,μ)λ
ε(j
1,μ)λ
ζ(j
1,μ)λ
o(j
1,μ)]
T (27)
λ(j 1 ,μ)=[λ α (j 1 ,μ)λ β (j 1 ,μ)λ γ (j 1 ,μ)λ δ (j 1 ,μ)λ ε (j 1 ,μ)λ ζ (j 1 ,μ)λ o (j 1 ,μ)] T (27)
其中,当j
1=1,2,3,4时,μ
m=6×(5-j
1),μ=1,2,……,μ
m;当j
1=5时,μ=μ
m=1,j
2=1。
Among them, when j 1 =1, 2, 3, 4, μ m =6 × (5-j 1 ), μ = 1, 2,..., μ m ; when j 1 =5, μ = μ m =1, j 2 =1.
设各子样颜色为C(j
1,δ)=[C
r(j
1,δ)C
g(j
1,δ)C
b(j
1,δ)]
T,则:
Suppose the color of each sub-sample is C(j 1 ,δ)=[C r (j 1 ,δ)C g (j 1 ,δ)C b (j 1 ,δ)] T , then:
然后进入步骤C4。Then proceed to step C4.
步骤C4.(1)当j
1=1,设μ=1,2,…,23,24;
Step C4. (1) When j 1 =1, let μ = 1, 2,...,23,24;
[T(1,μ)]
1×24=[T(1,1)T(1,2)…T(1,8)T(1,9)…T(1,16)T(1,17)…T(1,23)T(1,24)] (29)
[T(1,μ)] 1×24 =[T(1,1)T(1,2)…T(1,8)T(1,9)…T(1,16)T(1,17 )…T(1,23)T(1,24)] (29)
(2)当j
1=2,设μ=1,2,…,18;
(2) When j 1 =2, let μ = 1, 2,...,18;
[T(2,μ)]
1×18=[T(2,1)T(2,2)…T(2,7)C(2,8)…T(2,14)C(2,15)…T(2,17)T(2,18)] (30)
[T(2,μ)] 1×18 =[T(2,1)T(2,2)…T(2,7)C(2,8)…T(2,14)C(2,15 )…T(2,17)T(2,18)] (30)
(3)当j
1=3,设μ=1,2,…,12;
(3) When j 1 =3, let μ = 1, 2,...,12;
[T(3,μ)]
1×12=[T(3,1)T(3,2)…T(3,10)T(3,11)T(3,12)] (31)
[T(3,μ)] 1×12 =[T(3,1)T(3,2)…T(3,10)T(3,11)T(3,12)] (31)
(4)当j
1=4,设μ=1,2,…,6;
(4) When j 1 = 4, let μ = 1, 2,..., 6;
[T(4,μ)]
1×6=[T(4,1)T(4,2)…T(4,5)T(4,6)] (32)
[T(4,μ)] 1×6 =[T(4,1)T(4,2)…T(4,5)T(4,6)] (32)
(5)当j
1=5,设μ=1;
(5) When j 1 =5, let μ = 1;
[T(5,μ)]
1×1=[T(5,1)] (33)
[T(5,μ)] 1×1 =[T(5,1)] (33)
然后进入步骤C5。Then proceed to step C5.
步骤C5.基于式(29)~(33),获得全色域网格化混色模型的质量矩阵如下:Step C5. Based on equations (29) to (33), obtain the quality matrix of the full-color gamut gridded color mixing model as follows:
进而获得全色域网格化混色模型的混合比矩阵为:Then, the mixing ratio matrix of the full-color gamut gridded color mixing model is obtained:
获得全色域网格化混色模型的颜色矩阵为:The color matrix to obtain the full color gamut gridded color mixing model is:
即根据全色域网格化混色模型的颜色矩阵,构建七基色所对应的全色域网格化色谱,如图3所示,然后进入步骤D。That is, based on the color matrix of the full-color gamut gridded color mixing model, a full-color gamut gridded chromatogram corresponding to the seven primary colors is constructed, as shown in Figure 3, and then enters step D.
实际应用中,若取七基色色彩值为M(255,0,0)、Y(255,255,0)、G(0,255,0)、C(0,255,255),B(0,0,255)、M(255,0,255)、E(128,128,128),则七基色所对应的全色域网格化色谱如图4所示。In practical applications, if the color values of the seven primary colors are M(255,0,0), Y(255,255,0), G(0,255,0), C(0,255,255), B(0,0,255), M(255, 0,255), E(128,128,128), then the full color gamut grid chromatogram corresponding to the seven primary colors is shown in Figure 4.
步骤D.针对全色域网格化色谱,按如下步骤D1至步骤D2,以扭弯成同心圆方式,构建七基色所对应全色域网格化环状颜色模型。Step D. For the full-color gamut gridded chromatogram, follow steps D1 to D2 as follows to construct a full-color gamut gridded annular color model corresponding to the seven primary colors by twisting it into concentric circles.
步骤D1.针对全色域网格化色谱,按扭弯成同心圆方式,构建七基色所对应全色域网格化环状颜色模型,如图5所示,然后进入步骤D2。Step D1. For the full-color gamut gridded chromatogram, twist it into concentric circles to construct a full-color gamut gridded annular color model corresponding to the seven primary colors, as shown in Figure 5, and then proceed to step D2.
实际应用中,若取七基色色彩值为M(255,0,0)、Y(255,255,0)、G(0,255,0)、C(0,255,255),B(0,0,255)、M(255,0,255)、E(128,128,128),则七基色所对应全色域网格化环状颜色色谱如图6所示。In practical applications, if the color values of the seven primary colors are M(255,0,0), Y(255,255,0), G(0,255,0), C(0,255,255), B(0,0,255), M(255, 0,255), E(128,128,128), then the full color gamut gridded annular color spectrum corresponding to the seven primary colors is shown in Figure 6.
步骤D2.按如下公式,获得全色域网格化环状颜色模型中各网格点位置的极坐标:极角θ(j
1,μ)、极半径ρ(j
1);
Step D2. According to the following formula, obtain the polar coordinates of each grid point position in the full-color gamut gridded annular color model: polar angle θ (j 1 , μ), polar radius ρ (j 1 );
⑴当j
1=1,2,3,4时,
⑴When j 1 =1,2,3,4,
⑵当j
1=5时,
⑵When j 1 =5,
数控纺纱是以多根粗纱异步牵伸(多个通道)为本质特征,能对所纺制纱线的混纺比、线密度及捻度的变化进行在线调控的纺纱方法,对于数控纺纱而言,一个完整的***包括纺纱机械***、纺纱控制***和纺纱伺服***,纺纱机械***包括多通道耦合数码纺纱机的耦合牵伸机构、加捻机构和卷绕成型机构;纺纱控制***包括上位机触摸屏、下位机及控制程序;纺纱伺服***包括与机械***各机构对应的伺服电动机、变频电动机及其伺服驱动器、变频器、编码器、减速器等组成。CNC spinning is a spinning method based on the asynchronous drafting of multiple rovings (multiple channels), which can control online the changes in the blending ratio, linear density and twist of the spun yarn. For CNC spinning In other words, a complete system includes the spinning mechanical system, spinning control system and spinning servo system. The spinning mechanical system includes the coupling drafting mechanism, twisting mechanism and winding forming mechanism of the multi-channel coupled digital spinning machine; spinning mechanism The yarn control system includes the upper computer touch screen, lower computer and control program; the spinning servo system includes servo motors, variable frequency motors and their servo drives, frequency converters, encoders, reducers, etc. corresponding to the various mechanisms of the mechanical system.
基于上述设计基于七基色纤维混色纺纱的全色域网格化色谱构建方法,进一步设计纺纱方法,基于三通道混色数控纺纱***,结合其中三个后罗拉、一个中罗拉、一个前罗拉、钢领板分别一一对应基于伺服驱动器经伺服电机的控制,根据七基色所对应全色域网格化环状颜色模型,分别针对由七基色纤维α、β、γ、δ、ε、ζ、O所构成的六种三元混色组合,针对三元混色组合所对应的三种纤维进行数字化纺纱; 其中,基于j
1=1,2,3,4时,μ
m=6×(5-j
1),μ=1,2,……,μ
m;以及j
1=5时,μ=μ
m=1,j
2=1;设喂入三通道混色数控纺纱***的三种纤维分别为o,X,Z。
Based on the above design, a full-color gamut gridded chromatography construction method based on seven primary color fiber mixed color spinning was further designed, based on a three-channel mixed color CNC spinning system, combining three back rollers, one middle roller, and one front roller. , ring plate respectively correspond one to one based on the control of servo drive and servo motor. According to the full color gamut gridded annular color model corresponding to the seven primary colors, respectively for the seven primary color fibers α, β, γ, δ, ε, ζ , O, and perform digital spinning on the three fibers corresponding to the three-dimensional color combinations; among them, based on j 1 =1,2,3,4, μ m =6×(5 -j 1 ), μ = 1, 2, ..., μ m ; and when j 1 = 5, μ = μ m = 1, j 2 = 1; Assume three types of fibers fed into the three-channel mixed-color CNC spinning system They are o,X,Z respectively.
当μ=1~μ
m/6时,则喂入三通道混色数控纺纱***的三种纤维o,X,Z分别为o,β,α;
When μ=1~μ m /6, the three fibers o, X and Z fed into the three-channel mixed-color CNC spinning system are o, β and α respectively;
当μ=μ
m/6~2μ
m/6时,则喂入三通道混色数控纺纱***的三种纤维o,X,Z分别为o,γ,β;
When μ=μ m /6~2μ m /6, the three fibers o, X and Z fed into the three-channel mixed-color CNC spinning system are o, γ and β respectively;
当μ=2μ
m/6~3μ
m/6时,则喂入三通道混色数控纺纱***的三种纤维o,X,Z分别为o,δ,γ;
When μ = 2μ m /6 ~ 3μ m /6, the three fibers o, X and Z fed into the three-channel mixed-color CNC spinning system are o, δ and γ respectively;
当μ=3μ
m/6~4μ
m/6时,则喂入三通道混色数控纺纱***的三种纤维o,X,Z分别为o,ε,δ;
When μ = 3μ m /6 ~ 4μ m /6, the three fibers o, X and Z fed into the three-channel mixed-color CNC spinning system are o, ε and δ respectively;
当μ=4μ
m/6~5μ
m/6时,则喂入三通道混色数控纺纱***的三种纤维o,X,Z分别为o,ζ,ε;
When μ = 4μ m /6 ~ 5μ m /6, the three fibers o, X and Z fed into the three-channel mixed-color CNC spinning system are o, ζ and ε respectively;
当μ=5μ
m/6~μ
m时,则喂入三通道混色数控纺纱***的三种纤维o,X,Z分别为o,ζ,α。
When μ=5μ m /6~μ m , the three fibers o, X and Z fed into the three-channel mixed-color CNC spinning system are o, ζ and α respectively.
基于牵伸通道前罗拉线速度为V
q(j
1,μ),三个后罗拉线速度为V
ho(j
1,μ),V
hX(j
1,μ),V
hZ(j
1,μ),三个通道牵伸比为E
o(j
1,μ),E
X(j
1,μ),E
Z(j
1,μ),牵伸后三根纤维密度ρ'
o(j
1,μ),ρ'
X(j
1,μ),ρ'
Z(j
1,μ),各纤维在成纱中的混纺比为λ
o(j
1,μ),λ
X(j
1,μ),λ
Z(j
1,μ)。
Based on the linear speed of the front roller in the drafting channel is V q (j 1 ,μ), the linear speed of the three back rollers is V ho (j 1 ,μ), V hX (j 1 ,μ), V hZ (j 1 ,μ) ), the drafting ratio of the three channels is E o ( j 1 , μ ),E ),ρ' X (j 1 ,μ),ρ' Z (j 1 ,μ), the mixing ratio of each fiber in the yarn is λ o (j 1 , μ), λ λ Z (j 1 ,μ).
则三通道牵伸比如下:Then the three-channel draft ratio is as follows:
令ρ
o=ρ
X=ρ
Z,则上式简化为:
Let ρ o =ρ X =ρ Z , then the above formula is simplified to:
其中,μ=1,3,...,21,24;j
1=1,2,3,4,5;μ≥j
1。
Among them, μ=1,3,...,21,24; j 1 =1,2,3,4,5; μ≥j 1 .
其中基于三个独立驱动的后罗拉分别喂入三元混色组合所对应的三种纤维o,X,Z,则在前罗拉钳口汇合、并进入加捻机构进行加捻行成的三通道混色纱的线密度ρ
y为:
Among them, three independently driven back rollers feed the three types of fibers o, The linear density ρ y of the yarn is:
并且其中将三根异步牵伸得到的纤维合并加捻形成纱线,各纤维o,X,Z在成纱中的混纺比λ
o(j
1,μ),λ
X(j
1,μ),λ
Z(j
1,μ)为:
And the three fibers obtained by asynchronous drafting are combined and twisted to form a yarn. The blending ratio of each fiber o, X, Z in the yarn is λ o (j 1 , μ), λ X (j 1 , μ), λ Z (j 1 ,μ) is:
其中,λ
o(j
1,μ)+λ
X(j
1,μ)+λ
Z(j
1,μ)=1,μ=1,3,...,21,24;j
1=1,2,3,4,5;μ≥j
1。
Among them , λ o ( j 1 ,μ) + λ 2,3,4,5; μ≥j 1 .
基于成纱颜色由各纤维的颜色值、以及其混纺比决定,则成纱颜色C
y(j
1,μ)=(C
r,C
g,C
b)
T如下:
Based on the fact that the color of the yarn is determined by the color value of each fiber and its blending ratio, the color of the yarn C y (j 1 , μ) = (C r , C g , C b ) T is as follows:
则基于七基色所对应全色域网格化环状颜色模型,进行数字化纺纱获得的全色域颜色矩阵如下:Based on the full-color gamut gridded annular color model corresponding to the seven primary colors, the full-color gamut color matrix obtained by digital spinning is as follows:
实际应用中,根据七基色所对应全色域网格化环状颜色模型,分别针对各三元混色组合所对应的三种纤维进行数字化纺纱中,基于成纱颜色为C
y(C
r(j
1,μ),C
g(j
1,μ),C
b(j
1,μ)),结合七基色所对应全色域网格化环状颜色模型,以及成纱颜色由各纤维的颜色值、及其混纺比决定,则:
In practical applications, according to the full-color gamut gridded annular color model corresponding to the seven primary colors, digital spinning is carried out for the three fibers corresponding to each three-dimensional color mixing combination. Based on the yarn color C y (C r ( j 1 ,μ),C g (j 1 ,μ),C b (j 1 ,μ)), combined with the full color gamut meshed annular color model corresponding to the seven primary colors, and the yarn color is determined by the color of each fiber value, and its blending ratio are determined, then:
其中,当j
1=1,2,3,4时,μ
m=6×(5-j
1),μ=1,2,……,μ
m;当j
1=5时,μ=μ
m=1,j
2=1。
Among them, when j 1 =1, 2, 3, 4, μ m =6 × (5-j 1 ), μ = 1, 2,..., μ m ; when j 1 =5, μ = μ m =1, j 2 =1.
则混纺比矩阵如下:Then the blending ratio matrix is as follows:
进一步基于纤维混色比,获取三种纤维o,X,Z牵伸比如下:Further based on the fiber color mixing ratio, the draft ratios of the three fibers o, X, and Z are obtained as follows:
其中,若ρ
o=ρ
X=ρ
Z,则
Among them, if ρ o =ρ X =ρ Z , then
根据混合比矩阵,更新牵伸比如下:According to the mixing ratio matrix, the draft ratio is updated as follows:
具体实施当中,基于三通道混色数控纺纱***,根据七基色所对应全色域网格化环状颜色模型,分别针对各三元混色组合所对应的三种纤维进行数字化纺纱中,包括彩度不变、色相变化彩色纱线的纺制,其中,根据式(45)、以及所述七基色所对应的全色域网格化色谱,则4个系列彩度不变、色相变化的彩色纱线颜色值分别如下:In the specific implementation, based on the three-channel color mixing CNC spinning system, according to the full color gamut gridded annular color model corresponding to the seven primary colors, the three fibers corresponding to each three-dimensional color mixing combination are digitally spun, including color. Spinning of colored yarns with constant chroma and changing hue. According to formula (45) and the full color gamut gridded chromatogram corresponding to the seven primary colors, there are four series of colors with constant chroma and changing hue. The yarn color values are as follows:
第1系列彩度不变、色相变化彩色纱线颜色值:[C(1,1),C(1,2),...,C(1,23),C(1,24)];The first series of color yarn color values with constant chroma and changing hue: [C(1,1),C(1,2),...,C(1,23),C(1,24)];
第2系列彩度不变、色相变化彩色纱线颜色值:[C(2,1),C(2,2),...,C(2,17),C(2,18)];The second series of color yarn color values with constant chroma and changing hue: [C(2,1),C(2,2),...,C(2,17),C(2,18)];
第3系列彩度不变、色相变化彩色纱线颜色值:[C(3,1),C(3,2),...,C(3,11),C(3,12)];The third series of color yarn color values with constant chroma and changing hue: [C(3,1),C(3,2),...,C(3,11),C(3,12)];
第4系列彩度不变、色相变化彩色纱线颜色值:[C(4,1),C(4,2),...,C(4,5),C(4,6)]。The fourth series of color yarn color values with constant chroma and changing hue: [C(4,1),C(4,2),...,C(4,5),C(4,6)].
根据式(47),以及七基色所对应的全色域网格化色谱,则4个系列彩度不变、色相变化彩色纱线的混纺比分别为:According to formula (47) and the full color gamut grid chromatogram corresponding to the seven primary colors, the blending ratios of the four series of color yarns with constant chroma and changing hue are:
第1系列彩度不变、色相变化彩色纱线混合比:[λ(1,1),λ(1,2),...,λ(1,23),λ(1,24)];Mixing ratio of the first series of color yarns with constant chroma and changing hue: [λ(1,1),λ(1,2),...,λ(1,23),λ(1,24)];
第2系列彩度不变、色相变化彩色纱线混合比:[λ(2,1),λ(2,2),...,λ(2,17),λ(2,18)];The mixing ratio of the second series of color yarns with constant chroma and changing hue: [λ(2,1),λ(2,2),...,λ(2,17),λ(2,18)];
第3系列彩度不变、色相变化彩色纱线混合比:[λ(3,1),λ(3,2),...,λ(3,11),λ(3,12)];Mixing ratio of the third series of color yarns with constant chroma and changing hue: [λ(3,1),λ(3,2),...,λ(3,11),λ(3,12)];
第4系列彩度不变、色相变化彩色纱线颜色值:[λ(4,1),λ(4,2),...,λ(4,5),λ(4,6)]。The fourth series of color yarn color values with constant chroma and changing hue: [λ(4,1),λ(4,2),...,λ(4,5),λ(4,6)].
根据式(50),以及七基色所对应的全色域网格化色谱,则4个系列彩度不变、色相变化彩色纱线的牵伸比分别为:According to formula (50) and the full color gamut grid chromatogram corresponding to the seven primary colors, the draft ratios of the four series of color yarns with constant chroma and changing hue are:
第1系列彩度不变、色相变化彩色纱线牵伸比:[E(1,1),E(1,2),...,E(1,23),E(1,24)];Draft ratio of the 1st series of color yarns with constant chroma and changing hue: [E(1,1),E(1,2),...,E(1,23),E(1,24)] ;
第2系列彩度不变、色相变化彩色纱线牵伸比:[E(2,1),E(2,2),...,E(2,17),E(2,18)];The draft ratio of the second series of color yarns with constant chroma and changing hue: [E(2,1),E(2,2),...,E(2,17),E(2,18)] ;
第3系列彩度不变、色相变化彩色纱线牵伸比:[E(3,1),E(3,2),...,E(3,11),E(3,12)];The draft ratio of the third series of color yarns with constant chroma and changing hue: [E(3,1),E(3,2),...,E(3,11),E(3,12)] ;
第4系列彩度不变、色相变化彩色纱线牵伸值:[E(4,1),E(4,2),...,E(4,5),E(4,6)]。The draft value of the 4th series of color yarns with constant chroma and changing hue: [E(4,1),E(4,2),...,E(4,5),E(4,6)] .
即基于上述纺纱工艺参数的设计,实现在全色域色谱范围内纺制4个系列分别所对应彩度不变、色 相变化的彩色纱线。That is, based on the design of the above-mentioned spinning process parameters, it is possible to spin four series of colored yarns corresponding to constant chroma and changing hue within the full color gamut chromatographic range.
并且基于三通道混色数控纺纱***,根据七基色所对应全色域网格化环状颜色模型,分别针对各三元混色组合所对应的三种纤维进行数字化纺纱中,包括色相不变、明度变化的彩色纱线的纺制,其中,根据式(45)、以及所述七基色所对应的全色域网格化色谱,则六种三元混色组合所对应色相不变、明度变化的彩色纱线颜色值分别为:And based on the three-channel color mixing CNC spinning system, according to the full color gamut gridded annular color model corresponding to the seven primary colors, the three fibers corresponding to each three-dimensional color mixing combination are digitally spun, including unchanged hue, Spinning of colored yarns with changing brightness, wherein, according to formula (45) and the full color gamut gridded chromatogram corresponding to the seven primary colors, the six ternary mixed color combinations correspond to unchanged hue and changing brightness. The color values of colored yarns are:
第1种三元混色组合所对应色相不变、明度变化彩色纱线颜色值:[C(5,1),C(4,1),C(3,1),C(2,1),C(1,1)];The color values of the colored yarn corresponding to the first ternary color mixing combination remain unchanged in hue and change in brightness: [C(5,1),C(4,1),C(3,1),C(2,1), C(1,1)];
第2种三元混色组合所对应色相不变、明度变化彩色纱线颜色值:[C(5,1),C(4,2),C(3,3),C(2,4),C(1,5)];The second ternary color mixing combination corresponds to the color yarn color values of unchanged hue and changing brightness: [C(5,1),C(4,2),C(3,3),C(2,4), C(1,5)];
第3种三元混色组合所对应色相不变、明度变化彩色纱线颜色值:[C(5,1),C(4,3),C(3,5),C(2,7),C(1,9)];The third ternary color mixing combination corresponds to the color yarn color values of unchanged hue and changing brightness: [C(5,1),C(4,3),C(3,5),C(2,7), C(1,9)];
第4种三元混色组合所对应色相不变、明度变化彩色纱线颜色值:[C(5,1),C(4,4),C(3,7),C(2,10),C(1,13)];The fourth ternary color mixing combination corresponds to the color value of the colored yarn with unchanged hue and changing brightness: [C(5,1),C(4,4),C(3,7),C(2,10), C(1,13)];
第5种三元混色组合所对应色相不变、明度变化彩色纱线颜色值:[C(5,1),C(4,5),C(3,9),C(2,13),C(1,17)];The color values of the colored yarn corresponding to the fifth ternary color mixing combination remain unchanged in hue and change in brightness: [C(5,1),C(4,5),C(3,9),C(2,13), C(1,17)];
第6种三元混色组合所对应色相不变、明度变化彩色纱线颜色值:[C(5,1),C(4,6),C(3,11),C(2,16),C(1,21)]。The sixth ternary color mixing combination corresponds to the color yarn color values of unchanged hue and changing brightness: [C(5,1),C(4,6),C(3,11),C(2,16), C(1,21)].
根据式(47)、以及所述七基色所对应的全色域网格化色谱,则六种三元混色组合所对应色相不变、明度变化的彩色纱线混色比分别为:According to formula (47) and the full color gamut grid chromatogram corresponding to the seven primary colors, the color mixing ratios of the six ternary color mixing combinations corresponding to the color yarns with unchanged hue and changing brightness are:
第1种三元混色组合所对应色相不变、明度变化彩色纱线混色比:[λ(5,1),λ(4,1),λ(3,1),λ(2,1),λ(1,1)];The first ternary color mixing combination corresponds to the color yarn mixing ratio of unchanged hue and changing brightness: [λ(5,1),λ(4,1),λ(3,1),λ(2,1), λ(1,1)];
第2种三元混色组合所对应色相不变、明度变化彩色纱线混色比:[λ(5,1),λ(4,2),λ(3,3),λ(2,4),λ(1,5)];The second ternary color mixing combination corresponds to the color yarn mixing ratio of unchanged hue and changing brightness: [λ(5,1),λ(4,2),λ(3,3),λ(2,4), λ(1,5)];
第3种三元混色组合所对应色相不变、明度变化彩色纱线混色比:[λ(5,1),λ(4,3),λ(3,5),λ(2,7),λ(1,9)];The third ternary color mixing combination corresponds to the color yarn mixing ratio of unchanged hue and changing brightness: [λ(5,1),λ(4,3),λ(3,5),λ(2,7), λ(1,9)];
第4种三元混色组合所对应色相不变、明度变化彩色纱线混色比:[λ(5,1),λ(4,4),λ(3,7),λ(2,10),λ(1,13)];The fourth ternary color mixing combination corresponds to the color yarn mixing ratio of unchanged hue and changing brightness: [λ(5,1),λ(4,4),λ(3,7),λ(2,10), λ(1,13)];
第5种三元混色组合所对应色相不变、明度变化彩色纱线混色比:[λ(5,1),λ(4,5),λ(3,9),λ(2,13),λ(1,17)];The fifth ternary color mixing combination corresponds to the color yarn mixing ratio of unchanged hue and changing brightness: [λ(5,1),λ(4,5),λ(3,9),λ(2,13), λ(1,17)];
第6种三元混色组合所对应色相不变、明度变化彩色纱线混色比:[λ(5,1),λ(4,6),λ(3,11),λ(2,16),λ(1,21)]。The sixth ternary color mixing combination corresponds to the color yarn mixing ratio of unchanged hue and changing brightness: [λ(5,1),λ(4,6),λ(3,11),λ(2,16), λ(1,21)].
根据式(50)、以及所述七基色所对应的全色域网格化色谱,则六种三元混色组合所对应色相不变、明度变化的彩色纱线牵伸比分别为:According to formula (50) and the full color gamut grid chromatogram corresponding to the seven primary colors, the draft ratios of the colored yarns corresponding to the six ternary mixed color combinations with unchanged hue and changing brightness are:
第1种三元混色组合所对应色相不变、明度变化彩色纱线牵伸比:[E(5,1),E(4,1),E(3,1),E(2,1),E(1,1)];The draft ratio of colored yarns corresponding to the first three-element color mixing combination with unchanged hue and changing brightness: [E(5,1),E(4,1),E(3,1),E(2,1) ,E(1,1)];
第2种三元混色组合所对应色相不变、明度变化彩色纱线牵伸比:[E(5,1),E(4,2),E(3,3),E(2,4),E(1,5)];The second ternary color mixing combination corresponds to a color yarn draft ratio with unchanged hue and changing brightness: [E(5,1),E(4,2),E(3,3),E(2,4) ,E(1,5)];
第3种三元混色组合所对应色相不变、明度变化彩色纱线牵伸比:[E(5,1),E(4,3),E(3,5),E(2,7),E(1,9)];The third ternary color mixing combination corresponds to a color yarn draft ratio with unchanged hue and changing brightness: [E(5,1),E(4,3),E(3,5),E(2,7) ,E(1,9)];
第4种三元混色组合所对应色相不变、明度变化彩色纱线牵伸比:[E(5,1),E(4,4),E(3,7),E(2,10),E(1,13)];The draft ratio of colored yarns corresponding to the fourth ternary color mixing combination with unchanged hue and changing brightness: [E(5,1),E(4,4),E(3,7),E(2,10) ,E(1,13)];
第5种三元混色组合所对应色相不变、明度变化彩色纱线牵伸比:[E(5,1),E(4,5),E(3,9),E(2,13),E(1,17)];The fifth ternary color mixing combination corresponds to the color yarn draft ratio with unchanged hue and changing brightness: [E(5,1),E(4,5),E(3,9),E(2,13) ,E(1,17)];
第6种三元混色组合所对应色相不变、明度变化彩色纱线牵伸比:[E(5,1),E(4,6),E(3,11),E(2,16),E(1,21)]。The draft ratio of colored yarns corresponding to the sixth ternary color mixing combination with unchanged hue and changing brightness: [E(5,1),E(4,6),E(3,11),E(2,16) ,E(1,21)].
即基于上述纺纱工艺参数的设计,实现在全色域色谱范围内纺制六种三元混色组合分别所对应色相 不变、明度变化的彩色纱线。That is, based on the design of the above-mentioned spinning process parameters, it is possible to spin six kinds of three-dimensional mixed color combinations within the full color gamut chromatographic range, corresponding to color yarns with unchanged hue and changing brightness.
此外,基于三通道混色数控纺纱***,根据七基色所对应全色域网格化环状颜色模型,分别针对各三元混色组合所对应的三种纤维进行数字化纺纱中,包括色相变化、彩度变化的彩色纱线的纺制,其中,根据式(45)、以及所述七基色所对应的全色域网格化色谱,则六种三元混色组合所对应色相不变、彩度变化的彩色纱线颜色值分别为:In addition, based on the three-channel color mixing CNC spinning system, according to the full color gamut gridded annular color model corresponding to the seven primary colors, the three fibers corresponding to each three-dimensional color mixing combination are digitally spun, including hue changes, Spinning of colored yarns with varying chromaticity. According to formula (45) and the full color gamut gridded chromatogram corresponding to the seven primary colors, the six ternary mixed color combinations correspond to unchanged hue and chromaticity. The changing color values of colored yarns are:
第1种三元混色组合所对应色相不变、彩度变化彩色纱线颜色值:[C(5,1),C(4,1),C(2,2),C(1,3)];The color value of the color yarn corresponding to the first ternary color mixing combination with unchanged hue and changing chroma: [C(5,1),C(4,1),C(2,2),C(1,3) ];
第2种三元混色组合所对应色相不变、彩度变化彩色纱线颜色值:[C(5,1),C(4,2),C(2,5),C(1,7)];The second ternary color mixing combination corresponds to the color value of the color yarn with unchanged hue and changing chroma: [C(5,1),C(4,2),C(2,5),C(1,7) ];
第3种三元混色组合所对应色相不变、彩度变化彩色纱线颜色值:[C(5,1),C(4,3),C(2,8),C(1,11)];The third ternary color mixing combination corresponds to the color value of the color yarn with unchanged hue and changing chroma: [C(5,1),C(4,3),C(2,8),C(1,11) ];
第4种三元混色组合所对应色相不变、彩度变化彩色纱线颜色值:[C(5,1),C(4,4),C(2,11),C(1,15)];The fourth ternary color mixing combination corresponds to the color value of the color yarn with unchanged hue and changing chroma: [C(5,1),C(4,4),C(2,11),C(1,15) ];
第5种三元混色组合所对应色相不变、彩度变化彩色纱线颜色值:[C(5,1),C(4,5),C(2,14),C(1,19)];The fifth ternary color mixing combination corresponds to the color value of the color yarn with unchanged hue and changing chroma: [C(5,1),C(4,5),C(2,14),C(1,19) ];
第6种三元混色组合所对应色相不变、彩度变化彩色纱线颜色值:[C(5,1),C(4,6),C(2,17),C(1,23)]。The sixth ternary color mixing combination corresponds to the color value of the color yarn with unchanged hue and changing chroma: [C(5,1),C(4,6),C(2,17),C(1,23) ].
根据式(47)、以及所述七基色所对应的全色域网格化色谱,则六种三元混色组合所对应色相不变、彩度变化的彩色纱线混色比分别为:According to formula (47) and the full color gamut grid chromatogram corresponding to the seven primary colors, the color mixing ratios of the six ternary color mixing combinations corresponding to color yarns with unchanged hue and changing chroma are:
第1种三元混色组合所对应色相不变、彩度变化彩色纱线混色比:[λ(5,1),λ(4,1),λ(2,2),λ(1,3)];The first ternary color mixing combination corresponds to the color yarn mixing ratio of unchanged hue and changing chroma: [λ(5,1),λ(4,1),λ(2,2),λ(1,3) ];
第2种三元混色组合所对应色相不变、彩度变化彩色纱线混色比:[λ(5,1),λ(4,2),λ(2,5),λ(1,7)];The second ternary color mixing combination corresponds to the color yarn mixing ratio of unchanged hue and changing chroma: [λ(5,1),λ(4,2),λ(2,5),λ(1,7) ];
第3种三元混色组合所对应色相不变、彩度变化彩色纱线混色比:[λ(5,1),λ(4,3),λ(2,8),λ(1,11)];The third ternary color mixing combination corresponds to the color yarn mixing ratio of unchanged hue and changing chroma: [λ(5,1),λ(4,3),λ(2,8),λ(1,11) ];
第4种三元混色组合所对应色相不变、彩度变化彩色纱线混色比:[λ(5,1),λ(4,4),λ(2,11),λ(1,15)];The fourth ternary color mixing combination corresponds to the color yarn mixing ratio of unchanged hue and changing chroma: [λ(5,1),λ(4,4),λ(2,11),λ(1,15) ];
第5种三元混色组合所对应色相不变、彩度变化彩色纱线混色比:[λ(5,1),λ(4,5),λ(2,14),λ(1,19)];The fifth ternary color mixing combination corresponds to the color yarn mixing ratio of unchanged hue and changing chroma: [λ(5,1),λ(4,5),λ(2,14),λ(1,19) ];
第6种三元混色组合所对应色相不变、彩度变化彩色纱线混色比:[λ(5,1),λ(4,6),λ(2,17),λ(1,23)]。The sixth ternary color mixing combination corresponds to the color yarn mixing ratio of unchanged hue and changing chroma: [λ(5,1),λ(4,6),λ(2,17),λ(1,23) ].
根据式(50)、以及所述七基色所对应的全色域网格化色谱,则六种三元混色组合所对应色相不变、彩度变化的彩色纱线牵伸比分别为:According to formula (50) and the full color gamut grid chromatogram corresponding to the seven primary colors, the draft ratios of the colored yarns corresponding to the six ternary mixed color combinations with unchanged hue and changing chroma are:
第1种三元混色组合所对应色相不变、彩度变化彩色纱线牵伸比:[E(5,1),E(4,1),E(2,2),E(1,3)];The draft ratio of colored yarns corresponding to the first ternary color mixing combination with unchanged hue and changing chroma: [E(5,1),E(4,1),E(2,2),E(1,3 )];
第2种三元混色组合所对应色相不变、彩度变化彩色纱线牵伸比:[E(5,1),E(4,2),E(2,5),E(1,7)];The second ternary color mixing combination corresponds to the same hue and changing chroma draft ratio of colored yarns: [E(5,1),E(4,2),E(2,5),E(1,7 )];
第3种三元混色组合所对应色相不变、彩度变化彩色纱线牵伸比:[E(5,1),E(4,3),E(2,8),E(1,11)];The third ternary color mixing combination corresponds to the same hue and changing chroma draft ratio of colored yarns: [E(5,1),E(4,3),E(2,8),E(1,11 )];
第4种三元混色组合所对应色相不变、彩度变化彩色纱线牵伸比:[E(5,1),E(4,4),E(2,11),E(1,15)];The draft ratio of colored yarns corresponding to the fourth ternary color mixing combination with unchanged hue and changing chroma: [E(5,1),E(4,4),E(2,11),E(1,15 )];
第5种三元混色组合所对应色相不变、彩度变化彩色纱线牵伸比:[E(5,1),E(4,5),E(2,14),E(1,19)];The draft ratio of colored yarns corresponding to the fifth ternary color mixing combination with unchanged hue and changing chroma: [E(5,1),E(4,5),E(2,14),E(1,19 )];
第6种三元混色组合所对应色相不变、彩度变化彩色纱线牵伸比:[E(5,1),E(4,6),E(2,17),E(1,23)]。The draft ratio of colored yarns corresponding to the sixth ternary color mixing combination with unchanged hue and changing chroma: [E(5,1),E(4,6),E(2,17),E(1,23 )].
则基于上述纺纱工艺参数的设计,实现在全色域色谱范围内纺制六种三元混色组合分别所对应色相 不变、彩度变化的彩色纱线。Based on the design of the above-mentioned spinning process parameters, it is possible to spin six kinds of three-dimensional mixed color combinations corresponding to color yarns with unchanged hue and changing chroma within the full color gamut chromatographic range.
将上述基于七基色纤维混色纺纱的全色域网格化色谱构建方法及纺纱方法,应用于实际当中,实施例1,基于全色域色谱纺制彩色纱线,具体执行如下。The above-mentioned full-color gamut gridded chromatography construction method and spinning method based on seven primary color fiber mixed color spinning are applied in practice. Example 1 is to spin colored yarn based on full-color gamut chromatography, and the specific execution is as follows.
1、优化染色工艺并选取色相差为60°左右的六组彩色和灰色染料配方,对天然纤维、或者化学纤维、或者混纺纤维进行染色获取七基色纤维α,β,γ,δ,ε,ζ,o,由测色仪获取七基色纤维RGB颜色值分别为C
α(R
α,G
α,B
α),C
β(R
β,G
β,B
β),C
γ(R
γ,G
γ,B
γ),C
δ(R
δ,G
δ,B
δ),C
ε(R
ε,G
ε,B
ε),C
ζ(R
ζ,G
ζ,B
ζ),C
ο(R
ο,G
ο,B
ο)C
γ(R
α,G
α,B
α),如下表1所示。
1. Optimize the dyeing process and select six groups of color and gray dye formulas with a hue difference of about 60°, and dye natural fibers, chemical fibers, or blended fibers to obtain seven primary color fibers α, β, γ, δ, ε, ζ ,o, the RGB color values of the seven primary color fibers obtained from the colorimeter are C α (R α ,G α ,B α ), C β (R β ,G β ,B β ),C γ (R γ ,G γ ,B γ ),C δ (R δ ,G δ ,B δ ),C ε (R ε ,G ε ,B ε ),C ζ (R ζ ,G ζ ,B ζ ),C ο (R ο , G ο ,B ο )C γ (R α ,G α ,B α ), as shown in Table 1 below.
表1Table 1
色彩纤维Color fiber | RGB值RGB value | Lab值Lab value | HSL值HSL value |
α纤维alpha fiber | (0,110,105)(0,110,105) | (41.5,-27.7,-4.8)(41.5,-27.7,-4.8) | (177°,100,22)(177°,100,22) |
β纤维beta fiber | (0,7,235)(0,7,235) | (29.6,72.9,-101)(29.6,72.9,-101) | (238°,100,46)(238°,100,46) |
γ纤维gamma fiber | (232,72,42)(232,72,42) | (54,60.4,51.4)(54,60.4,51.4) | (9°,81,54)(9°,81,54) |
δ纤维delta fiber | (124,7,105)(124,7,105) | (28,53.6,-24.7)(28,53.6,-24.7) | (310°,89,26)(310°,89,26) |
ε纤维epsilon fiber | (172,187,8)(172,187,8) | (72.5,-23.3,72.5)(72.5,-23.3,72.5) | (65°,92,38)(65°,92,38) |
ζ纤维zeta fiber | (45,210,15)(45,210,15) | (74,-70.8,70.7)(74,-70.8,70.7) | (111°,87,44)(111°,87,44) |
o纤维oFiber | (126,127,124)(126,127,124) | (53,-1,1.5)(53,-1,1.5) | (80°,1,49)(80°,1,49) |
2、基于七基色全色域网格化颜色模型设计混色纱的全色域色谱2. Design the full-color gamut chromatogram of mixed-color yarn based on the seven-primary full-color gamut grid color model.
若以实测的七基色纤维颜色值α(0,110,105)、β(0,7,235)、γ(232,72,42)、δ(124,7,105)、ε(172,187,8)、ζ(45,210,15)、o(126,127,124)带入式(36),经计算可得七基色所对应的全色域网格化色谱示意如图7所示,七基色所对应的全色域网格化环状颜色模型示意如图8所示。If the measured color values of seven primary color fibers are α(0,110,105), β(0,7,235), γ(232,72,42), δ(124,7,105), ε(172,187,8), ζ(45,210,15) , o(126,127,124) is brought into equation (36). After calculation, the full-color gamut gridded chromatogram corresponding to the seven primary colors can be obtained, as shown in Figure 7. The full-color gamut gridded ring color model corresponding to the seven primary colors The diagram is shown in Figure 8.
以实测的七基色纤维颜色值α(0,110,105)、β(0,7,235)、γ(232,72,42)、δ(124,7,105)、ε(172,187,8)、ζ(45,210,15)、o(126,127,124)代入式(28),可得彩色纱线全色域混合样的颜色值C(j
1,δ)=[C
r(j
1,δ),C
g(j
1,δ),C
b(j
1,δ)]如下:
Based on the measured seven primary color fiber color values α(0,110,105), β(0,7,235), γ(232,72,42), δ(124,7,105), ε(172,187,8), ζ(45,210,15), o(126,127,124) is substituted into equation (28), and the color value of the full color gamut mixed sample of colored yarn can be obtained C(j 1 ,δ)=[C r (j 1 ,δ),C g (j 1 ,δ), C b (j 1 ,δ)] is as follows:
(j
1=1,2,3,4,5;μ=1,2,3,…,μ
m)
(j 1 =1,2,3,4,5;μ=1,2,3,…, μm )
(j
1=1,2,3,4时,μ
m=6×(5-j
1),μ=1,2,……,μ
m;当j
1=5时,μ=μ
m=1,j
2=1)
(When j 1 =1, 2, 3, 4, μ m =6 × (5-j 1 ), μ = 1, 2,..., μ m ; when j 1 =5, μ = μ m =1 ,j 2 =1)
全部C(j
1,μ)计算结果见下表2所示全色域耦合混色色谱颜色值。
The calculation results of all C(j 1 ,μ) are shown in Table 2 below. The full color gamut coupled color mixing chromatogram color values are shown in Table 2 below.
表2Table 2
2、经纺纱流程分别将三原色纤维制成线密度W
α,W
β,W
γ为4.5g/10m的三原色粗纱,如下表3所示。
2. The three primary color fibers are made into three primary color rovings with linear densities W α , W β , and W γ of 4.5g/10m through the spinning process, as shown in Table 3 below.
表3table 3
粗纱roving | 粗纱线密度Thread density | RGB值RGB value | Lab值Lab value | HSL值HSL value |
α纤维alpha fiber | W α=4.5g/10m W α =4.5g/10m | (0,110,105)(0,110,105) | (41.5,-27.7,-4.8)(41.5,-27.7,-4.8) | (177°,100,22)(177°,100,22) |
β纤维beta fiber | W β=4.5g/10m W β =4.5g/10m | (0,7,235)(0,7,235) | (29.6,72.9,-101)(29.6,72.9,-101) | (238°,100,46)(238°,100,46) |
γ纤维gamma fiber | W γ=4.5g/10m W γ =4.5g/10m | (232,72,42)(232,72,42) | (54,60.4,51.4)(54,60.4,51.4) | (9°,81,54)(9°,81,54) |
δ纤维delta fiber | W δ=4.5g/10m W δ =4.5g/10m | (124,7,105)(124,7,105) | (28,53.6,-24.7)(28,53.6,-24.7) | (310°,89,26)(310°,89,26) |
ε纤维epsilon fiber | W ε=4.5g/10m W ε =4.5g/10m | (172,187,8)(172,187,8) | (72.5,-23.3,72.5)(72.5,-23.3,72.5) | (65°,92,38)(65°,92,38) |
ζ纤维zeta fiber | W ζ=4.5g/10m Wζ =4.5g/10m | (45,210,15)(45,210,15) | (74,-70.8,70.7)(74,-70.8,70.7) | (111°,87,44)(111°,87,44) |
o纤维oFiber | W o=4.5g/10m W o =4.5g/10m | (126,127,124)(126,127,124) | (53,-1,1.5)(53,-1,1.5) | (80°,1,49)(80°,1,49) |
2、彩色纱线的参数2. Parameters of colored yarns
(1)彩色纱线的规格参数(1) Specifications of colored yarns
彩色纱线成纱线密度为24.5tex,纱线捻系数均为296.98,彩色纱线的颜色及三基色纤维混纺比依据全色域圆环状颜色模型设计方案确定。The yarn density of the colored yarn is 24.5tex, and the yarn twist coefficient is 296.98. The color of the colored yarn and the blending ratio of the three primary color fibers are determined based on the full-color gamut circular color model design plan.
(2)纺制全色域彩色纱线的混纺比参数(2) Blending ratio parameters for spinning full-color gamut colored yarns
三基色混色纱混纺比λ(j
1,μ)如下:
The blending ratio λ(j 1 ,μ) of three primary color melange yarns is as follows:
(j
1=1,2,3,4时,μ
m=6×(5-j
1),μ=1,2,……,μ
m;当j
1=5时,μ=μ
m=1,j
2=1)
(When j 1 =1, 2, 3, 4, μ m =6 × (5-j 1 ), μ = 1, 2,..., μ m ; when j 1 =5, μ = μ m =1 ,j 2 =1)
则全部混纺比参数λ(j
1,μ)的计算结果见表4所示全色域彩色纱混纺比参数。
Then the calculation results of all the blending ratio parameters λ (j 1 , μ) are shown in Table 4 for the full-color gamut color yarn blending ratio parameters.
表4Table 4
(2)纺制全色域彩色纱线的牵伸比参数(2) Draft ratio parameters for spinning full-color gamut colored yarns
三基色混色纱牵伸比E(j
1,μ)=[E
o(j
1,μ),E
X(j
1,μ),E
Z(j
1,μ)]如下:
The draft ratio of three-primary mixed color yarn E(j 1 ,μ)=[E o (j 1 ,μ),E X (j 1 ,μ),E Z (j 1 ,μ)] is as follows:
(j
1=1,2,3,4时,μ
m=6×(5-j
1),μ=1,2,……,μ
m;当j
1=5时,μ=μ
m=1,j
2=1)
(When j 1 =1, 2, 3, 4, μ m =6 × (5-j 1 ), μ = 1, 2,..., μ m ; when j 1 =5, μ = μ m =1 ,j 2 =1)
全部牵伸比参数E(j
1,δ)的计算结果见表5所示纺制全色域彩色纱的牵伸比参数。
The calculation results of all draft ratio parameters E(j 1 , δ) are shown in Table 5. The draft ratio parameters of spinning full-color gamut colored yarns are shown in Table 5.
表5table 5
(2)纺制全色域彩色纱线的牵伸比参数(2) Draft ratio parameters for spinning full-color gamut colored yarns
基于已知的三原色纤维颜色值可得彩色纱线全色域混合样的颜色值为:Based on the known color values of the three primary color fibers, the color value of the full color gamut mixture sample of the colored yarn can be obtained as:
(j
1=1,2,3,4,5;μ=1,2,3,…,μ
m)
(j 1 =1,2,3,4,5;μ=1,2,3,…, μm )
经计算可得全色域彩色纱线色谱如表6所示全色域混色模型混合样颜色值。After calculation, the full-color gamut color yarn chromatogram can be obtained as shown in Table 6. The full-color gamut color mixing model mixed sample color values.
表6Table 6
实施例2—彩度不变、色相变化彩色纱线的纺制,如图9所示选取彩度值为75%的18个不同色相的系列化色彩,纺制彩度不变、色相变化的彩色纱线,纺纱工艺如表7所示纺制彩度不变、色相变化彩色纱线牵伸工艺参数,所纺纱线的颜色值如表8所示纺制的彩度不变、色相变化彩色纱线颜色值。Example 2 - Spinning of colored yarns with constant chroma and changing hue. As shown in Figure 9, a series of 18 different hues with a chroma value of 75% was selected to spin yarns with constant chroma and changing hue. Colored yarn, the spinning process is as shown in Table 7. The spinning chroma remains unchanged and the hue changes. The drafting process parameters of the colored yarn, the color value of the spun yarn is as shown in Table 8. The spinning chroma remains unchanged and the hue changes. Vary colored yarn color values.
表7Table 7
表8Table 8
实施例3—色相不变、彩度变化的彩色纱线的纺制,如图10所示选取色相不变,彩度变化的系列化色彩,纺制色相不变,彩度变化的彩色纱线,纺纱工艺如表9所示纺制色相不变、明度变化的彩色纱牵伸工艺参数,所纺纱线的颜色值如表10所示纺制的色相不变、明度变化彩色纱颜色值。Embodiment 3 - Spinning of colored yarns with constant hue and changing chroma. As shown in Figure 10, a series of colors with constant hue and changing chroma are selected to spin colored yarns with constant hue and changing chroma. , the spinning process is as shown in Table 9. The drafting process parameters of spinning colored yarns with constant hue and changing lightness are shown in Table 10. The color values of the spun yarns are as shown in Table 10. The color values of spinning colored yarns with constant hue and changing lightness are as shown in Table 9. .
表9Table 9
表10Table 10
实施例4—色相变化、彩度变化彩色纱线的纺制Example 4—Spinning of colored yarns with changes in hue and saturation
如图11所示选取色相变化、彩度变化的六个系列化色彩,纺制色相变化、彩度变化的彩色纱线,纺纱工艺如表11所示纺制色相变化、彩度变化的彩色纱线牵伸工艺参数,所纺纱线的颜色值如表12所示纺制的色相变化、彩度变化彩色纱线的颜色值。As shown in Figure 11, six series of colors with changes in hue and chroma are selected to spin colored yarns with changes in hue and chroma. The spinning process is as shown in Table 11 to spin colors with changes in hue and chroma. The yarn drafting process parameters and the color values of the spun yarn are shown in Table 12. The color values of the spun colored yarns with hue changes and chroma changes.
表11Table 11
表12Table 12
上面结合附图对本发明的实施方式作了详细说明,但是本发明并不限于上述实施方式,在本领域普通技术人员所具备的知识范围内,还可以在不脱离本发明宗旨的前提下做出各种变化。The embodiments of the present invention have been described in detail above with reference to the accompanying drawings. However, the present invention is not limited to the above embodiments. Within the scope of knowledge possessed by those of ordinary skill in the art, other modifications can be made without departing from the spirit of the present invention. Various changes.
Claims (9)
- 七基色纤维全色域混色模式及圆环状网格化配色模型构建,其特征在于,包括如下步骤:The construction of the seven-primary fiber full-color gamut color mixing mode and the circular grid color matching model is characterized by including the following steps:步骤A.基于彼此相同质量、且色相差60°的六种彩色纤维,以及相同质量的灰色纤维,构成七基色纤维,然后进入步骤B;Step A. Based on six colored fibers of the same quality and with a color difference of 60°, and gray fibers of the same quality, seven primary color fibers are formed, and then proceed to step B;步骤B.基于纤维质量所对应的预设基准离散数,以七基色纤维中任意两种彩色纤维与灰色纤维的组合,构成的六种三元混色组合,并构建各三元混色组合分别所对应顶格为灰色、底边两端格分别对应两种彩色的三元耦合混色质量金字塔网格化模型,然后进入步骤C;Step B. Based on the preset reference discrete number corresponding to the fiber quality, six three-dimensional color mixing combinations are composed of any two color fibers and gray fibers among the seven primary color fibers, and the corresponding three-dimensional color mixing combinations are constructed. The top grid is gray and the two bottom grids correspond to the two-color ternary coupled color mixed mass pyramid grid model, and then enter step C;步骤C.针对各三元混色组合分别所对应的三元耦合混色质量金字塔网格化模型,以模型之间相同行首尾相同网格保留其中一个网格的方式,实现模型之间相同行的拼接,构成七基色所对应的全色域网格化色谱,然后进入步骤D;Step C. For the three-element coupling color-mixing quality pyramid grid model corresponding to each three-element color mixing combination, the splicing of the same rows between models is achieved by retaining one of the grids with the same grid at the beginning and end of the same row between the models. , forming a full-color gamut gridded chromatogram corresponding to the seven primary colors, and then enter step D;步骤D.针对全色域网格化色谱,按扭弯成同心圆方式,构建七基色所对应全色域网格化环状颜色模型。Step D. Aiming at the full-color gamut gridded chromatogram, twist it into concentric circles to construct a full-color gamut gridded annular color model corresponding to the seven primary colors.
- 根据权利要求1所述七基色纤维全色域混色模式及圆环状网格化配色模型构建,其特征在于,所述步骤B包括如下步骤B1至步骤B4;The seven primary color fiber full color gamut color mixing mode and the circular grid color matching model construction according to claim 1, characterized in that the step B includes the following steps B1 to step B4;步骤B1.基于七基色纤维α、β、γ、δ、ε、ζ、O的质量W α、W β、W γ、W δ、W ε、W ζ、W o,结合纤维质量所对应的预设基准离散数4,以七基色纤维中任意两种彩色纤维与灰色纤维的组合,构成的六种三元混色组合,六种三元混色组合的质量W oβα(j 1,j 2,j 3)、W oγβ(j 1,j 2,j 3)、W oδγ(j 1,j 2,j 3)、W oεδ(j 1,j 2,j 3)、W oζε(j 1,j 2,j 3)、W oαζ(j 1,j 2,j 3)如下,其中,j 1、j 2、j 3=1、2、3、4、5,然后进入步骤B2, Step B1. Based on the quality W α , W β , W γ , W δ , W ε , W ζ , and W o of the seven primary color fibers α, β, γ , δ , ε , ζ , and O , combined with the predetermined values corresponding to the fiber quality. Assume that the base discrete number is 4, and the six ternary color mixing combinations are formed by combining any two color fibers and gray fibers among the seven primary color fibers. The quality of the six ternary color mixing combinations is W oβα (j 1 ,j 2 ,j 3 ), W oγβ (j 1 ,j 2 ,j 3 ), W oδγ (j 1 ,j 2 ,j 3 ), W oεδ (j 1 ,j 2 ,j 3 ), W oζε (j 1 ,j 2 , j 3 ), W oαζ (j 1 , j 2 , j 3 ) are as follows, where j 1 , j 2 , j 3 =1, 2, 3, 4, 5, and then enter step B2,步骤B2.根据七基色纤维α、β、γ、δ、ε、ζ、O的质量W α、W β、W γ、W δ、W ε、W ζ、W o均等于W,以及六种三元混色组合的质量W oβα(j 1,j 2,j 3)、W oγβ(j 1,j 2,j 3)、W oδγ(j 1,j 2,j 3)、W oεδ(j 1,j 2,j 3)、W oζε(j 1,j 2,j 3)、W oαζ(j 1,j 2,j 3)均等于W,则j 3=7-j 1-j 2,其中,j 1、j 2=1、2、3、4、5,(j 1+j 2)≤6,带入式(2)进行更新,获得如下式(4),然后进入步骤B3; Step B2. According to the mass W α , W β , W γ , W δ , W ε , W ζ , and W o of the seven primary color fibers α, β , γ, δ , ε , ζ , and O are all equal to W, and the six three The quality of the element mixed color combination W oβα (j 1 ,j 2 ,j 3 ), W oγβ (j 1 ,j 2 ,j 3 ), W oδγ (j 1 ,j 2 ,j 3 ), W oεδ (j 1 , j 2 ,j 3 ), W oζε (j 1 ,j 2 ,j 3 ), W oαζ (j 1 ,j 2 ,j 3 ) are all equal to W, then j 3 =7-j 1 -j 2 , where, j 1 , j 2 =1, 2, 3, 4, 5, (j 1 +j 2 )≤6, bring it into equation (2) to update, and obtain the following equation (4), and then enter step B3;步骤B3.根据六种三元混色组合的质量W oβα(j 1,j 2,j 3)、W oγβ(j 1,j 2,j 3)、W oδγ(j 1,j 2,j 3)、W oεδ(j 1,j 2,j 3)、W oζε(j 1,j 2,j 3)、W oαζ(j 1,j 2,j 3)所对应的式(4),分别针对各三元混色组合,以顶格为灰色、底边两端格分别对应两种彩色,构建各三元混色组合分别所对应的三元耦合混色质量金字塔网格化模型,然后进入步骤B4; Step B3. According to the qualities W oβα (j 1 ,j 2 ,j 3 ), W oγβ (j 1 ,j 2 ,j 3 ), W oδγ (j 1 ,j 2 ,j 3 ) of six ternary color mixing combinations , W oεδ (j 1 ,j 2 ,j 3 ), W oζε (j 1 ,j 2 ,j 3 ), W oαζ (j 1 ,j 2 ,j 3 ) corresponding to the formula (4), respectively for each For the three-dimensional color mixing combination, the top grid is gray and the two bottom grids correspond to two colors respectively. Construct the three-dimensional coupled color mixing quality pyramid grid model corresponding to each three-dimensional color mixing combination, and then enter step B4;步骤B4.获得七基色纤维α、β、γ、δ、ε、ζ、O分别对应各三元混色组合下的混合比λ α(j 1,j 2)、λ β(j 1,j 2)、λ γ(j 1,j 2)、λ δ(j 1,j 2)、λ ε(j 1,j 2)、λ ζ(j 1,j 2)、λ o(j 1,j 2)如下: Step B4. Obtain the mixing ratios λ α (j 1 , j 2 ) and λ β (j 1 , j 2 ) of the seven primary color fibers α, β, γ, δ, ε, ζ, and O respectively corresponding to each ternary color mixing combination. , λ γ (j 1 ,j 2 ), λ δ (j 1 ,j 2 ), λ ε (j 1 ,j 2 ), λ ζ (j 1 ,j 2 ), λ o (j 1 ,j 2 ) as follows:W oβα(j 1,j 2)中:λ o(j 1,j 2)=(j 1-1)/4,λ β(j 1,j 2)=(j 2-1)/4,λ α(j 1,j 2)=(6-j 1-j 2)/4 (5) In W oβα (j 1 ,j 2 ): λ o (j 1 ,j 2 )=(j 1 -1)/4, λ β (j 1 ,j 2 )=(j 2 -1)/4, λ α (j 1 ,j 2 )=(6-j 1 -j 2 )/4 (5)W oγβ(j 1,j 2)中:λ o(j 1,j 2)=(j 1-1)/4,λ γ(j 1,j 2)=(j 2-1)/4,λ β(j 1,j 2)=(6-j 1-j 2)/4 (6) In W oγβ (j 1 , j 2 ): λ o (j 1 , j 2 ) = (j 1 -1)/4, λ γ (j 1 , j 2 ) = (j 2 -1)/4, λ β (j 1 ,j 2 )=(6-j 1 -j 2 )/4 (6)W oδγ(j 1,j 2)中:λ o(j 1,j 2)=(j 1-1)/4,λ δ(j 1,j 2)=(j 2-1)/4,λ γ(j 1,j 2)=(6-j 1-j 2)/4 (7) In W oδγ (j 1 , j 2 ): λ o (j 1 , j 2 ) = (j 1 -1)/4, λ δ (j 1 , j 2 ) = (j 2 -1)/4, λ γ (j 1 ,j 2 )=(6-j 1 -j 2 )/4 (7)W oεδ(j 1,j 2)中:λ o(j 1,j 2)=(j 1-1)/4,λ ε(j 1,j 2)=(j 2-1)/4,λ δ(j 1,j 2)=(6-j 1-j 2)/4 (8) In W oεδ (j 1 , j 2 ): λ o (j 1 , j 2 ) = (j 1 -1)/4, λ ε (j 1 , j 2 ) = (j 2 -1)/4, λ δ (j 1 ,j 2 )=(6-j 1 -j 2 )/4 (8)W oζε(j 1,j 2)中:λ o(j 1,j 2)=(j 1-1)/4,λ ζ(j 1,j 2)=(j 2-1)/4,λ ε(j 1,j 2)=(6-j 1-j 2)/4 (9) In W oζε (j 1 , j 2 ): λ o (j 1 , j 2 ) = (j 1 -1)/4, λ ζ (j 1 , j 2 ) = (j 2 -1)/4, λ ε (j 1 ,j 2 )=(6-j 1 -j 2 )/4 (9)W oαζ(j 1,j 2)中:λ o(j 1,j 2)=(j 1-1)/4,λ α(j 1,j 2)=(j 2-1)/4,λ ζ(j 1,j 2)=(6-j 1-j 2)/4 (10)。 In W oαζ (j 1 ,j 2 ): λ o (j 1 ,j 2 )=(j 1 -1)/4, λ α (j 1 ,j 2 )=(j 2 -1)/4, λ ζ (j 1 ,j 2 )=(6-j 1 -j 2 )/4 (10).
- 根据权利要求2所述七基色纤维全色域混色模式及圆环状网格化配色模型构建,其特征在于,所述步骤C包括如下步骤C1至步骤C5;The seven primary color fiber full color gamut color mixing mode and the circular grid color matching model construction according to claim 2, characterized in that the step C includes the following steps C1 to step C5;步骤C1.根据各三元混色组合分别所对应的三元耦合混色质量金字塔网格化模型,以模型之间相同行首尾相同网格保留其中一个网格的方式,执行模型之间相同行拼接,以j 1表示拼接后模型的行,μ表示拼接后模型的列,则三原色所对应全色域混和样质量T(j 1,μ)、以及七基色纤维α、β、γ、δ、ε、ζ、O分别对应全色域混和样中的混合比λ α(j 1,μ)、λ β(j 1,μ)、λ γ(j 1,μ)、λ δ(j 1,μ)、λ ε(j 1,μ)、λ ζ(j 1,μ)、λ o(j 1,μ)如下,然后进入步骤C2; Step C1. According to the three-dimensional coupling color mixing quality pyramid meshing model corresponding to each three-dimensional color mixing combination, perform the same row splicing between models by retaining one of the grids in the same row at the beginning and end of the model. Let j 1 represent the row of the spliced model, and μ represent the column of the spliced model, then the full color gamut mixture sample mass T (j 1 , μ) corresponding to the three primary colors, and the seven primary color fibers α, β, γ, δ, ε, ζ and O respectively correspond to the mixing ratios λ α (j 1 ,μ), λ β (j 1 ,μ), λ γ (j 1 ,μ), λ δ (j 1 ,μ), in the full-color gamut mixed sample. λ ε (j 1 ,μ), λ ζ (j 1 ,μ), λ o (j 1 ,μ) are as follows, and then enter step C2;当j 1=1,2,3,…,4,μ m=6×(5-j 1)时: When j 1 =1,2,3,…,4, μ m =6×(5-j 1 ):若μ=1,2,…,(μ m/6-1),(μ m/6),j 2=μ,则: If μ=1,2,…,(μ m /6-1),(μ m /6), j 2 =μ, then:T(j 1,μ)=W oβα(j 1,j 2),λ α(j 1,μ),λ β(j 1,μ),λ o(j 1,μ) (11) T(j 1 ,μ)=W oβα (j 1 ,j 2 ),λ α (j 1 ,μ),λ β (j 1 ,μ),λ o (j 1 ,μ) (11)若μ=(μ m/6+1),(μ m/6+2),…,(2×μ m/6-1),(2×μ m/6),j 2=μ-μ m/6,则: If μ=(μ m /6+1), (μ m /6+2),…, (2×μ m /6-1), (2×μ m /6), j 2 =μ-μ m /6, then:T(j 1,μ)=W oγβ(j 1,μ-μ m/6),λ o(j 1,μ-μ m/6),λ β(j 1,μ-μ m/6),λ γ(j 1,μ-μ m/6) (12) T(j 1 ,μ)=W oγβ (j 1 ,μ-μ m /6),λ o (j 1 ,μ-μ m /6),λ β (j 1 ,μ-μ m /6), λ γ (j 1 ,μ-μ m /6) (12)若μ=(2×μ m/6+1),(2×μ m/6+2),…,(3×μ m/6-1),(3×μ m/6),j 2=μ-2×μ m/6,则: If μ=(2×μ m /6+1), (2×μ m /6+2),…, (3×μ m /6-1), (3×μ m /6), j 2 = μ-2×μ m /6, then:T(j 1,μ)=W oδγ(j 1,μ-2×μ m/6),λ o(j 1,μ-2×μ m/6),λ δ(j 1,μ-2×μ m/6),λ γ(j 1,μ-2×μ m/6) (13) T(j 1 ,μ)=W oδγ (j 1 ,μ-2×μ m /6),λ o (j 1 ,μ-2×μ m /6),λ δ (j 1 ,μ-2× μ m /6),λ γ (j 1 ,μ-2×μ m /6) (13)若μ=(3×μ m/6+1),(3×μ m/6+2),…,(4×μ m/6-1),4×μ m/6,j 2=μ-3×μ m/6,则: If μ=(3×μ m /6+1), (3×μ m /6+2),…, (4×μ m /6-1), 4×μ m /6, j 2 =μ- 3×μ m /6, then:T(j 1,μ)=W oεδ(j 1,μ-3×μ m/6),λ o(j 1,μ-3×μ m/6),λ ε(j 1,μ-3×μ m/6),λ δ(j 1,μ-3×μ m/6) (14) T(j 1 ,μ)=W oεδ (j 1 ,μ-3×μ m /6),λ o (j 1 ,μ-3×μ m /6),λ ε (j 1 ,μ-3× μ m /6),λ δ (j 1 ,μ-3×μ m /6) (14)若μ=(4×μ m/6+1),(4×μ m/6+2),…,(5×μ m/6-1),5×μ m/6,j 2=μ-4×μ m/6,则: If μ=(4×μ m /6+1), (4×μ m /6+2),…, (5×μ m /6-1), 5×μ m /6, j 2 =μ- 4×μ m /6, then:T(j 1,μ)=W oζε(j 1,μ-4×μ m/6),λ o(j 1,μ-4×μ m/6),λ ζ(j 1,μ-4×μ m/6),λ ε(j 1,μ-4×μ m/6) (15) T(j 1 ,μ)=W oζε (j 1 ,μ-4×μ m /6),λ o (j 1 ,μ-4×μ m /6),λ ζ (j 1 ,μ-4× μ m /6),λ ε (j 1 ,μ-4×μ m /6) (15)若μ=(5×μ m/6+1),(5×μ m/6+2),…,(μ m-1),μ m,j 2=μ-5×μ m/6,则: If μ=(5×μ m /6+1), (5×μ m /6+2),…,(μ m -1),μ m , j 2 =μ-5×μ m /6, then :T(j 1,μ)=W oαζ(j 1,μ-5×μ m/6),λ o(j 1,μ-5×μ m/6),λ α(j 1,μ-5×μ m/6),λ ζ(j 1,μ-5×μ m/6) (16) T(j 1 ,μ)=W oαζ (j 1 ,μ-5×μ m /6),λ o (j 1 ,μ-5×μ m /6),λ α (j 1 ,μ-5× μ m /6),λ ζ (j 1 ,μ-5×μ m /6) (16)当j 1=5时,μ=1,j 2=1,则: When j 1 =5, μ =1, j 2 =1, then:T(j 1,μ)=W oβα(5,1),λ o(5,1),λ β(5,1)λ α(5,1) (17) T(j 1 ,μ)=W oβα (5,1),λ o (5,1),λ β (5,1)λ α (5,1) (17)步骤C2.根据式(11)至(17),获得如下:Step C2. According to formulas (11) to (17), the following is obtained:T(j 1,μ)=W×[λ α(j 1,μ) λ β(j 1,μ) λ γ(j 1,μ) λ δ(j 1,μ) λ ε(j 1,μ) λ ξ(j 1,μ) λ o(j 1,μ)] (18) T(j 1 ,μ)=W×[λ α (j 1 ,μ) λ β (j 1 ,μ) λ γ (j 1 ,μ) λ δ (j 1 ,μ) λ ε (j 1 ,μ ) λ ξ (j 1 ,μ) λ o (j 1 ,μ)] (18)并将上述式(18)展开如下,然后进入步骤C3;And expand the above formula (18) as follows, and then enter step C3;取j 1=1时,μ m=24,μ=1,2,…,23,24; When j 1 =1, μ m =24, μ =1,2,…,23,24;当μ=1,2,3,4,;j 2=μ;T(j 1,μ)=W oβα(j 1,μ);λ o(j 1,μ),λ β(j 1,μ),λ α(j 1,μ); When μ = 1, 2, 3, 4,; j 2 = μ; T (j 1 , μ) = W oβα (j 1 , μ); λ o (j 1 , μ), λ β (j 1 , μ ),λ α (j 1 ,μ);当μ=5,6,7,8;j 2=μ-4;T(j 1,μ)=W oγβ(j 1,μ-4);λ o(j 1,μ-4),λ γ(j 1,μ-4),λ β(j 1,μ-4); When μ = 5, 6, 7, 8; j 2 = μ-4; T (j 1 , μ) = W oγβ (j 1 , μ-4); λ o (j 1 , μ-4), λ γ (j 1 ,μ-4),λ β (j 1 ,μ-4);当μ=9,10,11,12;j 2=μ-8;T(j 1,μ)=W oδγ(j 1,μ-8);λ O(j 1,μ-8),λ δ(j 1,μ-8),λ γ(j 1,μ-8); When μ = 9, 10, 11, 12; j 2 = μ-8; T (j 1 , μ) = W oδγ (j 1 , μ-8); λ O (j 1 , μ-8), λ δ (j 1 ,μ-8),λ γ (j 1 ,μ-8);当μ=13,14,15,16;j 2=μ-12;T(j 1,μ)=W oεδ(j 1,μ-12);λ o(j 1,μ-12),λ ε(j 1,μ-12),λ δ(j 1,μ-12); When μ = 13, 14, 15, 16; j 2 = μ-12; T (j 1 , μ) = W oεδ (j 1 , μ-12); λ o (j 1 , μ-12), λ ε (j 1 ,μ-12),λ δ (j 1 ,μ-12);当μ=17,18,19,20;j 2=μ-16;T(j 1,μ)=W oζε(j 1,μ-16);λ o(j 1,μ-16),λ ζ(j 1,μ-16),λ ε(j 1,μ-16); When μ = 17, 18, 19, 20; j 2 = μ-16; T (j 1 , μ) = W oζε (j 1 , μ-16); λ o (j 1 , μ-16), λ ζ (j 1 ,μ-16),λ ε (j 1 ,μ-16);当μ=21,22,23,24;j 2=μ-20;T(j 1,μ)=W oαζ(j 1,μ-20);λ o(j 1,μ-20),λ α(j 1,μ-20),λ ζ(j 1,μ-20); When μ = 21, 22, 23, 24; j 2 = μ-20; T (j 1 , μ) = W oαζ (j 1 , μ-20); λ o (j 1 , μ-20), λ α (j 1 ,μ-20),λ ζ (j 1 ,μ-20);取j 1=2时,μ m=18,μ=1,2,…,17,18; When j 1 =2, μ m =18, μ =1,2,…,17,18;当μ=1,2,3,;j 2=μ;T(j 1,μ)=W oβα(j 1,μ);λ o(j 1,μ),λ β(j 1,μ),λ α(j 1,μ); When μ = 1, 2, 3,; j 2 = μ; T (j 1 , μ) = W oβα (j 1 , μ); λ o (j 1 , μ), λ β (j 1 , μ), λ α (j 1 ,μ);当μ=4,5,6;j 2=μ-3;T(j 1,μ)=W oγβ(j 1,μ-3);λ o(j 1,μ-3),λ γ(j 1,μ-3),λ β(j 1,μ-3); When μ=4,5,6; j 2 =μ-3; T(j 1 ,μ)=W oγβ (j 1 ,μ-3); λ o (j 1 ,μ-3),λ γ (j 1 ,μ-3),λ β (j 1 ,μ-3);当μ=7,8,9;j 2=μ-6;T(j 1,μ)=W oδγ(j 1,μ-6);λ O(j 1,μ-6),λ δ(j 1,μ-6),λ γ(j 1,μ-6); When μ=7,8,9; j 2 =μ-6; T(j 1 ,μ)=W oδγ (j 1 ,μ-6); λ O (j 1 ,μ-6),λ δ (j 1 ,μ-6),λ γ (j 1 ,μ-6);当μ=10,11,12;j 2=μ-9;T(j 1,μ)=W oεδ(j 1,μ-9);λ o(j 1,μ-9),λ ε(j 1,μ-9),λ δ(j 1,μ-9); When μ = 10, 11, 12; j 2 = μ-9; T (j 1 , μ) = W oεδ (j 1 , μ-9); λ o (j 1 , μ-9), λ ε (j 1 ,μ-9),λ δ (j 1 ,μ-9);当μ=13,14,15;j 2=μ-12;T(j 1,μ)=W oζε(j 1,μ-12);λ o(j 1,μ-12),λ ζ(j 1,μ-12),λ ε(j 1,μ-12); When μ = 13, 14, 15; j 2 = μ-12; T (j 1 , μ) = W oζε (j 1 , μ-12); λ o (j 1 , μ-12), λ ζ (j 1 ,μ-12),λ ε (j 1 ,μ-12);当μ=16,17,18;j 2=μ-15;T(j 1,μ)=W oαζ(j 1,μ-15);λ o(j 1,μ-15),λ α(j 1,μ-15),λ ζ(j 1,μ-15); When μ = 16, 17, 18; j 2 = μ-15; T (j 1 , μ) = W oαζ (j 1 , μ-15); λ o (j 1 , μ-15), λ α (j 1 ,μ-15),λ ζ (j 1 ,μ-15);取j 1=3时,μ m=12,μ=1,2,…,11,12; When j 1 =3, μ m =12, μ =1,2,…,11,12;当μ=1,2;j 2=μ;T(j 1,μ)=W oβα(j 1,μ);λ o(j 1,μ),λ β(j 1,μ),λ α(j 1,μ); When μ = 1, 2; j 2 = μ; T (j 1 , μ) = W oβα (j 1 , μ); λ o (j 1 , μ), λ β (j 1 , μ), λ α ( j 1 ,μ);当μ=3,4;j 2=μ-2;T(j 1,μ)=W oγβ(j 1,μ-2);λ o(j 1,μ-2),λ γ(j 1,μ-2),λ β(j 1,μ-2); When μ=3,4; j 2 =μ-2; T(j 1 ,μ)=W oγβ (j 1 ,μ-2); λ o (j 1 ,μ-2),λ γ (j 1 , μ-2),λ β (j 1 ,μ-2);当μ=5,6;j 2=μ-4;T(j 1,μ)=W oδγ(j 1,μ-4);λ O(j 1,μ-4),λ δ(j 1,μ-4),λ γ(j 1,μ-4); When μ=5,6; j 2 =μ-4; T(j 1 ,μ)=W oδγ (j 1 ,μ-4); λ O (j 1 ,μ-4),λ δ (j 1 , μ-4),λ γ (j 1 ,μ-4);当μ=7,8;j 2=μ-6;T(j 1,μ)=W oεδ(j 1,μ-6);λ o(j 1,μ-6),λ ε(j 1,μ-6),λ δ(j 1,μ-6); When μ=7,8; j 2 =μ-6; T(j 1 ,μ)=W oεδ (j 1 ,μ-6); λ o (j 1 ,μ-6),λ ε (j 1 , μ-6),λ δ (j 1 ,μ-6);当μ=9,10;j 2=μ-8;T(j 1,μ)=W oζε(j 1,μ-8);λ o(j 1,μ-8),λ ζ(j 1,μ-8),λ ε(j 1,μ-8); When μ=9,10; j 2 =μ-8; T(j 1 ,μ)=W oζε (j 1 ,μ-8); λ o (j 1 ,μ-8),λ ζ (j 1 , μ-8),λ ε (j 1 ,μ-8);当μ=11,12;j 2=μ-10;T(j 1,μ)=W oαζ(j 1,μ-10);λ o(j 1,μ-10),λ α(j 1,μ-10),λ ζ(j 1,μ-10); When μ=11,12; j 2 =μ-10; T(j 1 ,μ)=W oαζ (j 1 ,μ-10); λ o (j 1 ,μ-10),λ α (j 1 , μ-10),λ ζ (j 1 ,μ-10);取j 1=4时,μ m=6,μ=1,2,…,5,6; When j 1 =4, μ m =6, μ =1,2,…,5,6;当μ=1;j 2=μ;T(j 1,μ)=W oβα(j 1,μ);λ o(j 1,μ),λ β(j 1,μ),λ α(j 1,μ); When μ = 1; j 2 = μ; T (j 1 , μ) = W oβα (j 1 , μ); λ o (j 1 , μ), λ β (j 1 , μ), λ α (j 1 ,μ);当μ=2;j 2=μ-1;T(j 1,μ)=W oγβ(j 1,μ-1);λ o(j 1,μ-1),λ γ(j 1,μ-1),λ β(j 1,μ-1); When μ=2; j 2 =μ-1; T(j 1 ,μ)=W oγβ (j 1 ,μ-1); λ o (j 1 ,μ-1),λ γ (j 1 ,μ- 1),λ β (j 1 ,μ-1);当μ=3;j 2=μ-2;T(j 1,μ)=W oδγ(j 1,μ-2);λ O(j 1,μ-2),λ δ(j 1,μ-2),λ γ(j 1,μ-2); When μ=3; j 2 =μ-2; T(j 1 ,μ)=W oδγ (j 1 ,μ-2); λ O (j 1 ,μ-2),λ δ (j 1 ,μ- 2),λ γ (j 1 ,μ-2);当μ=4;j 2=μ-3;T(j 1,μ)=W oεδ(j 1,μ-3);λ o(j 1,μ-3),λ ε(j 1,μ-3),λ δ(j 1,μ-3); When μ=4; j 2 =μ-3; T(j 1 ,μ)=W oεδ (j 1 ,μ-3); λ o (j 1 ,μ-3),λ ε (j 1 ,μ- 3),λ δ (j 1 ,μ-3);当μ=5;j 2=μ-4;T(j 1,μ)=W oζε(j 1,μ-4);λ o(j 1,μ-4),λ ζ(j 1,μ-4),λ ε(j 1,μ-4); When μ=5; j 2 =μ-4; T(j 1 ,μ)=W oζε (j 1 ,μ-4); λ o (j 1 ,μ-4),λ ζ (j 1 ,μ- 4),λ ε (j 1 ,μ-4);当μ=6;j 2=μ-5;T(j 1,μ)=W oαζ(j 1,μ-5);λ o(j 1,μ-5),λ α(j 1,μ-5),λ ζ(j 1,μ-5); When μ=6; j 2 =μ-5; T(j 1 ,μ)=W oαζ (j 1 ,μ-5); λ o (j 1 ,μ-5),λ α (j 1 ,μ- 5),λ ζ (j 1 ,μ-5);取j 1=5时,μ m=1,μ=1; When j 1 =5, μ m =1, μ =1;当μ=1,j 2=1,T(j 1,μ)=W oβα(5,1),λ o(5,1),λ β(5,1)λ α(5,1); When μ=1,j 2 =1, T(j 1 ,μ)=W oβα (5,1),λ o (5,1),λ β (5,1)λ α (5,1);步骤C3.设混合样中七基色纤维α、β、γ、δ、ε、ζ、O的混合比如下:Step C3. Suppose the mixing ratio of the seven primary color fibers α, β, γ, δ, ε, ζ, and O in the mixed sample is as follows:[λ(j 1,δ)]=[λ α(j 1,μ) λ β(j 1,μ) λ γ(j 1,μ) λ δ(j 1,μ) λ ε(j 1,μ) λ ξ(j 1,μ) λ o(j 1,μ)] T (19) [λ(j 1 ,δ)]=[λ α (j 1 ,μ) λ β (j 1 ,μ) λ γ (j 1 ,μ) λ δ (j 1 ,μ) λ ε (j 1 ,μ ) λ ξ (j 1 ,μ) λ o (j 1 ,μ)] T (19)根据式(11),当μ=1,2,...,μ m/6,μ+j 1≤6时,λ o(j 1,μ)=(j 1-1)/4,λ β(j 1,μ)=(μ-1)/4,λ α(j 1,μ)=(6-j 1-μ)/4,则: According to formula (11), when μ=1,2,...,μ m /6,μ+j 1 ≤6, λ o (j 1 ,μ)=(j 1 -1)/4,λ β (j 1 ,μ)=(μ-1)/4,λ α (j 1 ,μ)=(6-j 1 -μ)/4, then:[λ(j 1,μ)]=[(6-j 1-μ)/4 (μ-1)/4 0 0 0 0 (j 1-1)/4] T (20) [λ(j 1 ,μ)]=[(6-j 1 -μ)/4 (μ-1)/4 0 0 0 0 (j 1 -1)/4] T (20)根据式(12),当μ=(μ m/6+1),(μ m/6+2),…,(2μ m/6),μ+2j 1≤11时,λ o(j 1,μ)=(j 1-1)/4,λ γ(j 1,μ)=(j 1+μ-6)/4,λ β(j 1,μ)=(-2j 1-μ+11)/4,则: According to equation (12), when μ = (μ m /6+1), (μ m /6+2),…, (2μ m /6), μ+2j 1 ≤11, λ o (j 1 , μ)=(j 1 -1)/4,λ γ (j 1 ,μ)=(j 1 +μ-6)/4, λ β (j 1 ,μ)=(-2j 1 -μ+11) /4, then:[λ(j 1,μ)]=[0 (-2j 1-μ+11)/4 (j 1+μ-6)/4 0 0 0 (j 1-1)/4] T (21) [λ(j 1 ,μ)]=[0 (-2j 1 -μ+11)/4 (j 1 +μ-6)/4 0 0 0 (j 1 -1)/4] T (21)根据式(13),当μ=(2μ m/6+1),(2μ m/6+2),…,(3μ m/6),μ+3j 1≤16时,λ o(j 1,μ)=(j 1-1)/4,λ δ(j 1,j 2)=(2j 1+μ-11)/4,λ γ(j 1,j 2)=(-3j 1-μ+16)/4,则: According to formula (13), when μ=(2μ m /6+1), (2μ m /6+2),…, (3μ m /6),μ+3j 1 ≤16, λ o (j 1 , μ)=(j 1 -1)/4, λ δ (j 1 ,j 2 )=(2j 1 +μ-11)/4, λ γ (j 1 ,j 2 )=(-3j 1 -μ+ 16)/4, then:[λ(j 1,μ)]=[0 0 (-3j 1-μ+16)/4 (2j 1+μ-11)/4 0 0 (j 1-1)/4] T (22) [λ(j 1 ,μ)]=[0 0 (-3j 1 -μ+16)/4 (2j 1 +μ-11)/4 0 0 (j 1 -1)/4] T (22)根据式(14),当μ=(3μ m/6+1),(3μ m/6+2),…,(4μ m/6),μ+4j 1≤21时,λ o(j 1,μ)=(j 1-1)/4,λ ε(j 1,j 2)=(3j 1+μ-16)/4,λ δ(j 1,j 2)=(-4j 1-μ+21)/4,则: According to equation (14), when μ = (3μ m /6+1), (3μ m /6+2),…, (4μ m /6), μ+4j 1 ≤ 21, λ o (j 1 , μ)=(j 1 -1)/4, λ ε (j 1 ,j 2 )=(3j 1 +μ-16)/4, λ δ (j 1 ,j 2 )=(-4j 1 -μ+ 21)/4, then:[λ(j 1,μ)]=[0 0 0 (-4j 1-μ+21)/4 (3j 1+μ-16)/4 0 (j 1-1)/4] T (23) [λ(j 1 ,μ)]=[0 0 0 (-4j 1 -μ+21)/4 (3j 1 +μ-16)/4 0 (j 1 -1)/4] T (23)根据式(15),当μ=(4μ m/6+1),(4μ m/6+2),…,(5μ m/6),μ+5j 1≤26时,λ o(j 1,μ)=(j 1-1)/4,λ ζ(j 1,j 2)=(4j 1+μ-21)/4, λ ε(j 1,j 2)=(-5j 1-μ+26)/4,则: According to equation (15), when μ=(4μ m /6+1), (4μ m /6+2),…, (5μ m /6),μ+5j 1 ≤26, λ o (j 1 , μ)=(j 1 -1)/4, λ ζ (j 1 ,j 2 )=(4j 1 +μ-21)/4, λ ε (j 1 ,j 2 )=(-5j 1 -μ+ 26)/4, then:[λ(j 1,μ)]=[0 0 0 0 (-5j 1-μ+26)/4 (4j 1+μ-21)/4 (j 1-1)/4] T (24) [λ(j 1 ,μ)]=[0 0 0 0 (-5j 1 -μ+26)/4 (4j 1 +μ-21)/4 (j 1 -1)/4] T (24)根据式(16),当μ=(5μ m/6+1),(5μ m/6+2),…,(μ m),μ+6j 1≤31时,λ o(j 1,μ)=(j 1-1)/4,λ α(j 1,j 2)=(5j 1+μ-26)/4,λ ζ(j 1,j 2)=(-6j 1-μ+31)/4,则: According to equation (16), when μ=(5μ m /6+1), (5μ m /6+2),…,(μ m ),μ+6j 1 ≤31, λ o (j 1 ,μ) =(j 1 -1)/4, λ α (j 1 , j 2 ) = (5j 1 +μ-26)/4, λ ζ (j 1 , j 2 ) = (-6j 1 -μ+31) /4, then:[λ(j 1,μ)]=[(5j 1+μ-26)/4 0 0 0 0 (-6j 1-μ+31)/4 (j 1-1)/4] T (25) [λ(j 1 ,μ)]=[(5j 1 +μ-26)/4 0 0 0 0 (-6j 1 -μ+31)/4 (j 1 -1)/4] T (25)则全色域混色模型各子样质量为:Then the quality of each sample of the full color gamut color mixing model is:全色域网格化混色模型子样的混纺比[λ(j 1,μ)]为: The blending ratio [λ(j 1 ,μ)] of the full-color gamut gridded color mixing model sample is:λ(j 1,μ)=[λ α(j 1,μ) λ β(j 1,μ) λ γ(j 1,μ) λ δ(j 1,μ) λ ε(j 1,μ) λ ζ(j 1,μ) λ o(j 1,μ)] T (27) λ(j 1 ,μ)=[λ α (j 1 ,μ) λ β (j 1 ,μ) λ γ (j 1 ,μ) λ δ (j 1 ,μ) λ ε (j 1 ,μ) λ ζ (j 1 ,μ) λ o (j 1 ,μ)] T (27)其中,当j 1=1,2,3,4时,μ m=6×(5-j 1),μ=1,2,……,μ m;当j 1=5时,μ=μ m=1,j 2=1; Among them, when j 1 =1, 2, 3, 4, μ m =6 × (5-j 1 ), μ = 1, 2,..., μ m ; when j 1 =5, μ = μ m =1,j 2 =1;设各子样颜色为C(j 1,δ)=[C r(j 1,δ) C g(j 1,δ) C b(j 1,δ)] T,则: Suppose the color of each sub-sample is C(j 1 ,δ)=[C r (j 1 ,δ) C g (j 1 ,δ) C b (j 1 ,δ)] T , then:然后进入步骤C4;Then proceed to step C4;步骤C4.(1)当j 1=1,设μ=1,2,…,23,24; Step C4. (1) When j 1 =1, let μ = 1, 2,...,23,24;[T(1,μ)] 1×24=[T(1,1) T(1,2) … T(1,8) T(1,9) … T(1,16) T(1,17) … T(1,23) T(1,24)] (29) [T(1,μ)] 1×24 =[T(1,1) T(1,2) … T(1,8) T(1,9) … T(1,16) T(1,17 ) … T(1,23) T(1,24)] (29)(2)当j 1=2,设μ=1,2,…,18; (2) When j 1 =2, let μ = 1, 2,...,18;[T(2,μ)] 1×18=[T(2,1) T(2,2) … T(2,7) C(2,8) … T(2,14) C(2,15) … T(2,17) T(2,18)] (30) [T(2,μ)] 1×18 =[T(2,1) T(2,2) … T(2,7) C(2,8) … T(2,14) C(2,15 ) … T(2,17) T(2,18)] (30)(3)当j 1=3,设μ=1,2,…,12; (3) When j 1 =3, let μ = 1, 2,...,12;[T(3,μ)] 1×12=[T(3,1) T(3,2) … T(3,10) T(3,11) T(3,12)] (31) [T(3,μ)] 1×12 =[T(3,1) T(3,2) … T(3,10) T(3,11) T(3,12)] (31)(4)当j 1=4,设μ=1,2,…,6; (4) When j 1 = 4, let μ = 1, 2,..., 6;[T(4,μ)] 1×6=[T(4,1) T(4,2) … T(4,5) T(4,6)] (32) [T(4,μ)] 1×6 =[T(4,1) T(4,2) … T(4,5) T(4,6)] (32)(5)当j 1=5,设μ=1; (5) When j 1 =5, let μ = 1;[T(5,μ)] 1×1=[T(5,1)] (33) [T(5,μ)] 1×1 =[T(5,1)] (33)然后进入步骤C5;Then proceed to step C5;步骤C5.基于式(29)~(33),获得全色域网格化混色模型的质量矩阵如下:Step C5. Based on equations (29) to (33), obtain the quality matrix of the full-color gamut gridded color mixing model as follows:进而获得全色域网格化混色模型的混合比矩阵为:Then, the mixing ratio matrix of the full-color gamut gridded color mixing model is obtained:获得全色域网格化混色模型的颜色矩阵为:The color matrix to obtain the full color gamut gridded color mixing model is:即根据全色域网格化混色模型的颜色矩阵,构建七基色所对应的全色域网格化色谱,然后进入步骤D。That is, based on the color matrix of the full-color gamut gridded color mixing model, a full-color gamut gridded chromatogram corresponding to the seven primary colors is constructed, and then step D is entered.
- 根据权利要求3所述七基色纤维全色域混色模式及圆环状网格化配色模型构建,其特征在于,所述步骤D包括如下步骤D1至步骤D2;The seven primary color fiber full color gamut color mixing mode and the circular grid color matching model construction according to claim 3, characterized in that the step D includes the following steps D1 to step D2;步骤D1.针对全色域网格化色谱,按扭弯成同心圆方式,构建七基色所对应全色域网格化环状颜色模型,然后进入步骤D2;Step D1. For the full-color gamut gridded chromatogram, twist it into concentric circles to construct a full-color gamut gridded annular color model corresponding to the seven primary colors, and then enter step D2;步骤D2.按如下公式,获得全色域网格化环状颜色模型中各网格点位置的极坐标:极角θ(j 1,μ)、极半径ρ(j 1); Step D2. According to the following formula, obtain the polar coordinates of each grid point position in the full-color gamut gridded annular color model: polar angle θ (j 1 , μ), polar radius ρ (j 1 );⑴当j 1=1,2,3,4时, ⑴When j 1 =1,2,3,4,⑵当j 1=5时, ⑵When j 1 =5,
- 基于权利要求1至4中任意一项所述七基色纤维全色域混色模式及圆环状网格化配色模型构建的彩色纱纺制方法,其特征在于:基于三通道混色数控纺纱***,结合其中三个后罗拉、一个中罗拉、一个前罗拉、钢领板分别一一对应基于伺服驱动器经伺服电机的控制,根据七基色所对应全色域网格化环状颜色模型,分别针对由七基色纤维α、β、γ、δ、ε、ζ、O所构成的六种三元混色组合,针对三元混色组合所对应的三种纤维进行数字化纺纱;其中,基于j 1=1,2,3,4时,μ m=6×(5-j 1),μ=1,2,……,μ m;以及j 1=5时,μ=μ m=1,j 2=1;设喂入三通道混色数控纺纱***的三种纤维分别为o,X,Z; The colored yarn spinning method constructed based on the seven-primary color fiber full color gamut color mixing model and the circular grid color matching model described in any one of claims 1 to 4, is characterized by: based on a three-channel color mixing CNC spinning system, Combined with the one-to-one correspondence of three back rollers, one middle roller, one front roller and the ring plate, based on the control of the servo drive and the servo motor, according to the full color gamut gridded annular color model corresponding to the seven primary colors, respectively for the Six three-dimensional color mixing combinations composed of seven primary color fibers α, β, γ, δ, ε, ζ, and O are digitally spun for the three fibers corresponding to the three-dimensional color mixing combination; among them, based on j 1 = 1, When 2, 3, and 4, μ m =6×(5-j 1 ), μ = 1, 2,..., μ m ; and when j 1 =5, μ = μ m =1, j 2 =1; Assume that the three fibers fed into the three-channel mixed-color CNC spinning system are o, X, and Z;当μ=1~μ m/6时,则喂入三通道混色数控纺纱***的三种纤维o,X,Z分别为o,β,α; When μ=1~μ m /6, the three fibers o, X and Z fed into the three-channel mixed-color CNC spinning system are o, β and α respectively;当μ=μ m/6~2μ m/6时,则喂入三通道混色数控纺纱***的三种纤维o,X,Z分别为o,γ,β; When μ=μ m /6~2μ m /6, the three fibers o, X and Z fed into the three-channel mixed-color CNC spinning system are o, γ and β respectively;当μ=2μ m/6~3μ m/6时,则喂入三通道混色数控纺纱***的三种纤维o,X,Z分别为o,δ,γ; When μ = 2μ m /6 ~ 3μ m /6, the three fibers o, X and Z fed into the three-channel mixed-color CNC spinning system are o, δ and γ respectively;当μ=3μ m/6~4μ m/6时,则喂入三通道混色数控纺纱***的三种纤维o,X,Z分别为o,ε,δ; When μ = 3μ m /6 ~ 4μ m /6, the three fibers o, X and Z fed into the three-channel mixed-color CNC spinning system are o, ε and δ respectively;当μ=4μ m/6~5μ m/6时,则喂入三通道混色数控纺纱***的三种纤维o,X,Z分别为o,ζ,ε; When μ = 4μ m /6 ~ 5μ m /6, the three fibers o, X and Z fed into the three-channel mixed-color CNC spinning system are o, ζ and ε respectively;当μ=5μ m/6~μ m时,则喂入三通道混色数控纺纱***的三种纤维o,X,Z分别为o,ζ,α; When μ=5μ m /6~μ m , the three fibers o, X and Z fed into the three-channel mixed-color CNC spinning system are o, ζ, α respectively;基于牵伸通道前罗拉线速度为V q(j 1,μ),三个后罗拉线速度为V ho(j 1,μ),V hX(j 1,μ),V hZ(j 1,μ),三个通道牵伸比为E o(j 1,μ),E X(j 1,μ),E Z(j 1,μ),牵伸后三根纤维密度ρ' o(j 1,μ),ρ' X(j 1,μ),ρ' Z(j 1,μ),各纤维在成纱中的混纺比为λ o(j 1,μ),λ X(j 1,μ),λ Z(j 1,μ); Based on the linear speed of the front roller in the drafting channel is V q (j 1 ,μ), the linear speed of the three back rollers is V ho (j 1 ,μ), V hX (j 1 ,μ), V hZ (j 1 ,μ) ), the drafting ratio of the three channels is E o ( j 1 , μ ),E ),ρ' X (j 1 ,μ),ρ' Z (j 1 ,μ), the mixing ratio of each fiber in the yarn is λ o (j 1 , μ), λ λ Z (j 1 ,μ);则三通道牵伸比如下:Then the three-channel draft ratio is as follows:令ρ o=ρ X=ρ Z,则上式简化为: Let ρ o =ρ X =ρ Z , then the above formula is simplified to:其中,μ=1,3,...,21,24;j 1=1,2,3,4,5;μ≥j 1; Among them, μ=1,3,...,21,24; j 1 =1,2,3,4,5; μ≥j 1 ;其中基于三个独立驱动的后罗拉分别喂入三元混色组合所对应的三种纤维o,X,Z,则在前罗拉钳口汇合、并进入加捻机构进行加捻行成的三通道混色纱的线密度ρ y为: Among them, three independently driven back rollers feed the three types of fibers o, The linear density ρ y of the yarn is:并且其中将三根异步牵伸得到的纤维合并加捻形成纱线,各纤维o,X,Z在成纱中的混纺比λ o(j 1,μ),λ X(j 1,μ),λ Z(j 1,μ)为: And the three fibers obtained by asynchronous drafting are combined and twisted to form a yarn. The blending ratio of each fiber o, X, Z in the yarn is λ o (j 1 , μ), λ X (j 1 , μ), λ Z (j 1 ,μ) is:其中,λ o(j 1,μ)+λ X(j 1,μ)+λ Z(j 1,μ)=1,μ=1,3,...,21,24;j 1=1,2,3,4,5;μ≥j 1; Among them , λ o ( j 1 ,μ) + λ 2,3,4,5;μ≥j 1 ;基于成纱颜色由各纤维的颜色值、以及其混纺比决定,则成纱颜色C y(j 1,μ)=(C r,C g,C b) T如下: Based on the fact that the color of the yarn is determined by the color value of each fiber and its blending ratio, the color of the yarn C y (j 1 , μ) = (C r , C g , C b ) T is as follows:则基于七基色所对应全色域网格化环状颜色模型,进行数字化纺纱获得的全色域颜色矩阵如下:Based on the full-color gamut gridded annular color model corresponding to the seven primary colors, the full-color gamut color matrix obtained by digital spinning is as follows:
- 根据权利要求5所述七基色纤维全色域混色模式及圆环状网格化配色模型构建的彩色纱纺制方法,其特征在于:所述根据七基色所对应全色域网格化环状颜色模型,分别针对各三元混色组合所对应的三种纤维进行数字化纺纱中,基于成纱颜色为C y(C r(j 1,μ),C g(j 1,μ),C b(j 1,μ)),结合七基色所对应全色域网格化环状颜色模型,以及成纱颜色由各纤维的颜色值、及其混纺比决定,则: The color yarn spinning method constructed according to the full color gamut color mixing mode of seven primary color fibers and the circular mesh color matching model according to claim 5, characterized in that: the full color gamut meshing annular shape corresponding to the seven primary colors The color model is used for digital spinning of the three fibers corresponding to each three-dimensional color mixing combination. Based on the yarn color C y (C r (j 1 , μ), C g (j 1 , μ), C b (j 1 ,μ)), combined with the full-color gamut gridded annular color model corresponding to the seven primary colors, and the yarn color is determined by the color value of each fiber and its blending ratio, then:其中,当j 1=1,2,3,4时,μ m=6×(5-j 1),μ=1,2,……,μ m;当j 1=5时,μ=μ m=1,j 2=1; Among them, when j 1 =1, 2, 3, 4, μ m =6 × (5-j 1 ), μ = 1, 2,..., μ m ; when j 1 =5, μ = μ m =1,j 2 =1;则混纺比矩阵如下:Then the blending ratio matrix is as follows:进一步基于纤维混色比,获取三种纤维o,X,Z牵伸比如下:Further based on the fiber color mixing ratio, the draft ratios of the three fibers o, X, and Z are obtained as follows:其中,若ρ o=ρ X=ρ Z,则 Among them, if ρ o =ρ X =ρ Z , then根据混合比矩阵,更新牵伸比如下:According to the mixing ratio matrix, the draft ratio is updated as follows:
- 根据权利要求6所述七基色纤维全色域混色模式及圆环状网格化配色模型构建的彩色纱纺制方法,其特征在于:所述基于三通道混色数控纺纱***,根据七基色所对应全色域网格化环状颜色模型,分别针对各三元混色组合所对应的三种纤维进行数字化纺纱中,包括彩度不变、色相变化彩色纱线的纺制,其中,根据式(45)、以及所述七基色所对应的全色域网格化色谱,则4个系列彩度不变、色相变化的彩色纱线颜色值分别如下:The color yarn spinning method constructed according to the full color gamut color mixing mode of seven primary color fibers and the circular grid color matching model according to claim 6, characterized in that: the three-channel color mixing CNC spinning system based on the seven primary colors Corresponding to the full-color gamut gridded annular color model, digital spinning is carried out for the three fibers corresponding to each three-dimensional color mixing combination, including the spinning of color yarns with constant chroma and changing hue. According to the formula (45), and the full color gamut gridded chromatogram corresponding to the seven primary colors, then the color values of the four series of colored yarns with constant chroma and changing hue are as follows:第1系列彩度不变、色相变化彩色纱线颜色值:[C(1,1),C(1,2),...,C(1,23),C(1,24)];The first series of color yarn color values with constant chroma and changing hue: [C(1,1),C(1,2),...,C(1,23),C(1,24)];第2系列彩度不变、色相变化彩色纱线颜色值:[C(2,1),C(2,2),...,C(2,17),C(2,18)];The second series of color yarn color values with constant chroma and changing hue: [C(2,1),C(2,2),...,C(2,17),C(2,18)];第3系列彩度不变、色相变化彩色纱线颜色值:[C(3,1),C(3,2),...,C(3,11),C(3,12)];The third series of color yarn color values with constant chroma and changing hue: [C(3,1),C(3,2),...,C(3,11),C(3,12)];第4系列彩度不变、色相变化彩色纱线颜色值:[C(4,1),C(4,2),...,C(4,5),C(4,6)];The fourth series of color yarn color values with constant chroma and changing hue: [C(4,1),C(4,2),...,C(4,5),C(4,6)];根据式(47),以及七基色所对应的全色域网格化色谱,则4个系列彩度不变、色相变化彩色纱线的混纺比分别为:According to formula (47) and the full color gamut grid chromatogram corresponding to the seven primary colors, the blending ratios of the four series of color yarns with constant chroma and changing hue are:第1系列彩度不变、色相变化彩色纱线混合比:[λ(1,1),λ(1,2),...,λ(1,23),λ(1,24)];Mixing ratio of the first series of color yarns with constant chroma and changing hue: [λ(1,1),λ(1,2),...,λ(1,23),λ(1,24)];第2系列彩度不变、色相变化彩色纱线混合比:[λ(2,1),λ(2,2),...,λ(2,17),λ(2,18)];The mixing ratio of the second series of color yarns with constant chroma and changing hue: [λ(2,1),λ(2,2),...,λ(2,17),λ(2,18)];第3系列彩度不变、色相变化彩色纱线混合比:[λ(3,1),λ(3,2),...,λ(3,11),λ(3,12)];Mixing ratio of the third series of color yarns with constant chroma and changing hue: [λ(3,1),λ(3,2),...,λ(3,11),λ(3,12)];第4系列彩度不变、色相变化彩色纱线颜色值:[λ(4,1),λ(4,2),...,λ(4,5),λ(4,6)];The fourth series of color yarn color values with constant chroma and changing hue: [λ(4,1),λ(4,2),...,λ(4,5),λ(4,6)];根据式(50),以及七基色所对应的全色域网格化色谱,则4个系列彩度不变、色相变化彩色纱线的牵伸比分别为:According to formula (50) and the full color gamut grid chromatogram corresponding to the seven primary colors, the draft ratios of the four series of color yarns with constant chroma and changing hue are:第1系列彩度不变、色相变化彩色纱线牵伸比:[E(1,1),E(1,2),...,E(1,23),E(1,24)];Draft ratio of the 1st series of color yarns with constant chroma and changing hue: [E(1,1),E(1,2),...,E(1,23),E(1,24)] ;第2系列彩度不变、色相变化彩色纱线牵伸比:[E(2,1),E(2,2),...,E(2,17),E(2,18)];The draft ratio of the second series of color yarns with constant chroma and changing hue: [E(2,1),E(2,2),...,E(2,17),E(2,18)] ;第3系列彩度不变、色相变化彩色纱线牵伸比:[E(3,1),E(3,2),...,E(3,11),E(3,12)];The draft ratio of the third series of color yarns with constant chroma and changing hue: [E(3,1),E(3,2),...,E(3,11),E(3,12)] ;第4系列彩度不变、色相变化彩色纱线牵伸值:[E(4,1),E(4,2),...,E(4,5),E(4,6)];The draft value of the 4th series of color yarns with constant chroma and changing hue: [E(4,1),E(4,2),...,E(4,5),E(4,6)] ;即基于上述纺纱工艺参数的设计,实现在全色域色谱范围内纺制4个系列分别所对应彩度不变、色相变化的彩色纱线。That is, based on the design of the above-mentioned spinning process parameters, it is possible to spin four series of colored yarns corresponding to constant chroma and changing hue within the full color gamut chromatographic range.
- 根据权利要求6所述七基色纤维全色域混色模式及圆环状网格化配色模型构建的彩色纱纺制方法,其特征在于:所述基于三通道混色数控纺纱***,根据七基色所对应全色域网格化环状颜色模型,分别针对各三元混色组合所对应的三种纤维进行数字化纺纱中,包括色相不变、明度变化的彩色纱线的纺制,其中,根据式(45)、以及所述七基色所对应的全色域网格化色谱,则六种三元混色组合所对应色相不变、明度变化的彩色纱线颜色值分别为:The color yarn spinning method constructed according to the full color gamut color mixing mode of seven primary color fibers and the circular grid color matching model according to claim 6, characterized in that: the three-channel color mixing CNC spinning system is based on the seven primary colors. Corresponding to the full-color gamut gridded annular color model, digital spinning is carried out for the three fibers corresponding to each three-dimensional color mixing combination, including the spinning of colored yarns with unchanged hue and changing brightness, where, according to the formula (45), and the full color gamut grid chromatogram corresponding to the seven primary colors, then the color values of the colored yarns corresponding to the six three-element mixed color combinations with unchanged hue and changing brightness are:第1种三元混色组合所对应色相不变、明度变化彩色纱线颜色值:[C(5,1),C(4,1),C(3,1),C(2,1),C(1,1)];The color values of the colored yarn corresponding to the first ternary color mixing combination remain unchanged in hue and change in brightness: [C(5,1),C(4,1),C(3,1),C(2,1), C(1,1)];第2种三元混色组合所对应色相不变、明度变化彩色纱线颜色值:[C(5,1),C(4,2),C(3,3),C(2,4),C(1,5)];The second ternary color mixing combination corresponds to the color yarn color values of unchanged hue and changing brightness: [C(5,1),C(4,2),C(3,3),C(2,4), C(1,5)];第3种三元混色组合所对应色相不变、明度变化彩色纱线颜色值:[C(5,1),C(4,3),C(3,5),C(2,7),C(1,9)];The third ternary color mixing combination corresponds to the color yarn color values of unchanged hue and changing brightness: [C(5,1),C(4,3),C(3,5),C(2,7), C(1,9)];第4种三元混色组合所对应色相不变、明度变化彩色纱线颜色值:[C(5,1),C(4,4),C(3,7),C(2,10),C(1,13)];The fourth ternary color mixing combination corresponds to the color value of the colored yarn with unchanged hue and changing brightness: [C(5,1),C(4,4),C(3,7),C(2,10), C(1,13)];第5种三元混色组合所对应色相不变、明度变化彩色纱线颜色值:[C(5,1),C(4,5),C(3,9),C(2,13),C(1,17)];The color values of the colored yarn corresponding to the fifth ternary color mixing combination remain unchanged in hue and change in brightness: [C(5,1),C(4,5),C(3,9),C(2,13), C(1,17)];第6种三元混色组合所对应色相不变、明度变化彩色纱线颜色值:[C(5,1),C(4,6),C(3,11),C(2,16),C(1,21)];根据式(47)、以及所述七基色所对应的全色域网格化色谱,则六种三元混色组合所对应色相不变、明度变化的彩色纱线混色比分别为:The sixth ternary color mixing combination corresponds to the color yarn color values of unchanged hue and changing brightness: [C(5,1),C(4,6),C(3,11),C(2,16), C(1,21)]; According to formula (47) and the full color gamut grid chromatogram corresponding to the seven primary colors, the six ternary color mixing combinations correspond to color yarn mixing with unchanged hue and changing brightness. The ratios are:第1种三元混色组合所对应色相不变、明度变化彩色纱线混色比:[λ(5,1),λ(4,1),λ(3,1),λ(2,1),λ(1,1)];The first ternary color mixing combination corresponds to the color yarn mixing ratio of unchanged hue and changing brightness: [λ(5,1),λ(4,1),λ(3,1),λ(2,1), λ(1,1)];第2种三元混色组合所对应色相不变、明度变化彩色纱线混色比:[λ(5,1),λ(4,2),λ(3,3),λ(2,4),λ(1,5)];The second ternary color mixing combination corresponds to the color yarn mixing ratio of unchanged hue and changing brightness: [λ(5,1),λ(4,2),λ(3,3),λ(2,4), λ(1,5)];第3种三元混色组合所对应色相不变、明度变化彩色纱线混色比:[λ(5,1),λ(4,3),λ(3,5),λ(2,7),λ(1,9)];The third ternary color mixing combination corresponds to the color yarn mixing ratio of unchanged hue and changing brightness: [λ(5,1),λ(4,3),λ(3,5),λ(2,7), λ(1,9)];第4种三元混色组合所对应色相不变、明度变化彩色纱线混色比:[λ(5,1),λ(4,4),λ(3,7),λ(2,10),λ(1,13)];The fourth ternary color mixing combination corresponds to the color yarn mixing ratio of unchanged hue and changing brightness: [λ(5,1),λ(4,4),λ(3,7),λ(2,10), λ(1,13)];第5种三元混色组合所对应色相不变、明度变化彩色纱线混色比:[λ(5,1),λ(4,5),λ(3,9),λ(2,13),λ(1,17)];The fifth ternary color mixing combination corresponds to the color yarn mixing ratio of unchanged hue and changing brightness: [λ(5,1),λ(4,5),λ(3,9),λ(2,13), λ(1,17)];第6种三元混色组合所对应色相不变、明度变化彩色纱线混色比:[λ(5,1),λ(4,6),λ(3,11),λ(2,16),λ(1,21)]; 根据式(50)、以及所述七基色所对应的全色域网格化色谱,则六种三元混色组合所对应色相不变、明度变化的彩色纱线牵伸比分别为:The sixth ternary color mixing combination corresponds to the color yarn mixing ratio of unchanged hue and changing brightness: [λ(5,1),λ(4,6),λ(3,11),λ(2,16), λ(1,21)]; According to formula (50) and the full color gamut grid chromatogram corresponding to the seven primary colors, the six ternary color mixing combinations correspond to colored yarns with constant hue and changing brightness. The elongation ratios are:第1种三元混色组合所对应色相不变、明度变化彩色纱线牵伸比:[E(5,1),E(4,1),E(3,1),E(2,1),E(1,1)];The draft ratio of colored yarns corresponding to the first three-element color mixing combination with unchanged hue and changing brightness: [E(5,1),E(4,1),E(3,1),E(2,1) ,E(1,1)];第2种三元混色组合所对应色相不变、明度变化彩色纱线牵伸比:[E(5,1),E(4,2),E(3,3),E(2,4),E(1,5)];The second ternary color mixing combination corresponds to a color yarn draft ratio with unchanged hue and changing brightness: [E(5,1),E(4,2),E(3,3),E(2,4) ,E(1,5)];第3种三元混色组合所对应色相不变、明度变化彩色纱线牵伸比:[E(5,1),E(4,3),E(3,5),E(2,7),E(1,9)];The third ternary color mixing combination corresponds to a color yarn draft ratio with unchanged hue and changing brightness: [E(5,1),E(4,3),E(3,5),E(2,7) ,E(1,9)];第4种三元混色组合所对应色相不变、明度变化彩色纱线牵伸比:[E(5,1),E(4,4),E(3,7),E(2,10),E(1,13)];The draft ratio of colored yarns corresponding to the fourth ternary color mixing combination with unchanged hue and changing brightness: [E(5,1),E(4,4),E(3,7),E(2,10) ,E(1,13)];第5种三元混色组合所对应色相不变、明度变化彩色纱线牵伸比:[E(5,1),E(4,5),E(3,9),E(2,13),E(1,17)];The fifth ternary color mixing combination corresponds to the color yarn draft ratio with unchanged hue and changing brightness: [E(5,1),E(4,5),E(3,9),E(2,13) ,E(1,17)];第6种三元混色组合所对应色相不变、明度变化彩色纱线牵伸比:[E(5,1),E(4,6),E(3,11),E(2,16),E(1,21)];The draft ratio of colored yarns corresponding to the sixth ternary color mixing combination with unchanged hue and changing brightness: [E(5,1),E(4,6),E(3,11),E(2,16) ,E(1,21)];即基于上述纺纱工艺参数的设计,实现在全色域色谱范围内纺制六种三元混色组合分别所对应色相不变、明度变化的彩色纱线。That is, based on the design of the above-mentioned spinning process parameters, it is possible to spin six kinds of three-dimensional mixed color combinations within the full color gamut chromatographic range, with corresponding hues unchanged and lightness changing colored yarns.
- 根据权利要求6所述七基色纤维全色域混色模式及圆环状网格化配色模型构建的彩色纱纺制方法,其特征在于:所述基于三通道混色数控纺纱***,根据七基色所对应全色域网格化环状颜色模型,分别针对各三元混色组合所对应的三种纤维进行数字化纺纱中,包括色相变化、彩度变化的彩色纱线的纺制,其中,根据式(45)、以及所述七基色所对应的全色域网格化色谱,则六种三元混色组合所对应色相不变、彩度变化的彩色纱线颜色值分别为:The color yarn spinning method constructed according to the full color gamut color mixing mode of seven primary color fibers and the circular grid color matching model according to claim 6, characterized in that: the three-channel color mixing CNC spinning system is based on the seven primary colors. Corresponding to the full-color gamut gridded annular color model, the three fibers corresponding to each three-dimensional color mixing combination are digitally spun, including the spinning of color yarns with changes in hue and chroma, where, according to the formula (45), and the full color gamut grid chromatogram corresponding to the seven primary colors, then the color values of the colored yarns corresponding to the six three-element mixed color combinations with unchanged hue and changing chroma are:第1种三元混色组合所对应色相不变、彩度变化彩色纱线颜色值:[C(5,1),C(4,1),C(2,2),C(1,3)];The color value of the color yarn corresponding to the first ternary color mixing combination with unchanged hue and changing chroma: [C(5,1),C(4,1),C(2,2),C(1,3) ];第2种三元混色组合所对应色相不变、彩度变化彩色纱线颜色值:[C(5,1),C(4,2),C(2,5),C(1,7)];The second ternary color mixing combination corresponds to the color value of the color yarn with unchanged hue and changing chroma: [C(5,1),C(4,2),C(2,5),C(1,7) ];第3种三元混色组合所对应色相不变、彩度变化彩色纱线颜色值:[C(5,1),C(4,3),C(2,8),C(1,11)];The third ternary color mixing combination corresponds to the color value of the color yarn with unchanged hue and changing chroma: [C(5,1),C(4,3),C(2,8),C(1,11) ];第4种三元混色组合所对应色相不变、彩度变化彩色纱线颜色值:[C(5,1),C(4,4),C(2,11),C(1,15)];The fourth ternary color mixing combination corresponds to the color value of the color yarn with unchanged hue and changing chroma: [C(5,1),C(4,4),C(2,11),C(1,15) ];第5种三元混色组合所对应色相不变、彩度变化彩色纱线颜色值:[C(5,1),C(4,5),C(2,14),C(1,19)];The fifth ternary color mixing combination corresponds to the color value of the color yarn with unchanged hue and changing chroma: [C(5,1),C(4,5),C(2,14),C(1,19) ];第6种三元混色组合所对应色相不变、彩度变化彩色纱线颜色值:[C(5,1),C(4,6),C(2,17),C(1,23)];The sixth ternary color mixing combination corresponds to the color value of the color yarn with unchanged hue and changing chroma: [C(5,1),C(4,6),C(2,17),C(1,23) ];根据式(47)、以及所述七基色所对应的全色域网格化色谱,则六种三元混色组合所对应色相不变、彩度变化的彩色纱线混色比分别为:According to formula (47) and the full color gamut grid chromatogram corresponding to the seven primary colors, the color mixing ratios of colored yarns corresponding to six ternary color mixing combinations with unchanged hue and changing chroma are:第1种三元混色组合所对应色相不变、彩度变化彩色纱线混色比:[λ(5,1),λ(4,1),λ(2,2),λ(1,3)];The first ternary color mixing combination corresponds to the color yarn mixing ratio of unchanged hue and changing chroma: [λ(5,1),λ(4,1),λ(2,2),λ(1,3) ];第2种三元混色组合所对应色相不变、彩度变化彩色纱线混色比:[λ(5,1),λ(4,2),λ(2,5),λ(1,7)];The second ternary color mixing combination corresponds to the color yarn mixing ratio of unchanged hue and changing chroma: [λ(5,1),λ(4,2),λ(2,5),λ(1,7) ];第3种三元混色组合所对应色相不变、彩度变化彩色纱线混色比:[λ(5,1),λ(4,3),λ(2,8),λ(1,11)];The third ternary color mixing combination corresponds to the color yarn mixing ratio of unchanged hue and changing chroma: [λ(5,1),λ(4,3),λ(2,8),λ(1,11) ];第4种三元混色组合所对应色相不变、彩度变化彩色纱线混色比:[λ(5,1),λ(4,4),λ(2,11),λ(1,15)];The fourth ternary color mixing combination corresponds to the color yarn mixing ratio of unchanged hue and changing chroma: [λ(5,1),λ(4,4),λ(2,11),λ(1,15) ];第5种三元混色组合所对应色相不变、彩度变化彩色纱线混色比:[λ(5,1),λ(4,5),λ(2,14),λ(1,19)];The fifth ternary color mixing combination corresponds to the color yarn mixing ratio of unchanged hue and changing chroma: [λ(5,1),λ(4,5),λ(2,14),λ(1,19) ];第6种三元混色组合所对应色相不变、彩度变化彩色纱线混色比:[λ(5,1),λ(4,6),λ(2,17),λ(1,23)];The sixth ternary color mixing combination corresponds to the color yarn mixing ratio of unchanged hue and changing chroma: [λ(5,1),λ(4,6),λ(2,17),λ(1,23) ];根据式(50)、以及所述七基色所对应的全色域网格化色谱,则六种三元混色组合所对应色相不变、彩度变化的彩色纱线牵伸比分别为:According to formula (50) and the full color gamut grid chromatogram corresponding to the seven primary colors, the draft ratios of the colored yarns corresponding to the six ternary mixed color combinations with unchanged hue and changing chroma are:第1种三元混色组合所对应色相不变、彩度变化彩色纱线牵伸比:[E(5,1),E(4,1),E(2,2),E(1,3)];The draft ratio of colored yarns corresponding to the first ternary color mixing combination with unchanged hue and changing chroma: [E(5,1),E(4,1),E(2,2),E(1,3 )];第2种三元混色组合所对应色相不变、彩度变化彩色纱线牵伸比:[E(5,1),E(4,2),E(2,5),E(1,7)];The second ternary color mixing combination corresponds to the same hue and changing chroma draft ratio of colored yarns: [E(5,1),E(4,2),E(2,5),E(1,7 )];第3种三元混色组合所对应色相不变、彩度变化彩色纱线牵伸比:[E(5,1),E(4,3),E(2,8),E(1,11)];The third ternary color mixing combination corresponds to the same hue and changing chroma draft ratio of colored yarns: [E(5,1),E(4,3),E(2,8),E(1,11 )];第4种三元混色组合所对应色相不变、彩度变化彩色纱线牵伸比:[E(5,1),E(4,4),E(2,11),E(1,15)];The draft ratio of colored yarns corresponding to the fourth ternary color mixing combination with unchanged hue and changing chroma: [E(5,1),E(4,4),E(2,11),E(1,15 )];第5种三元混色组合所对应色相不变、彩度变化彩色纱线牵伸比:[E(5,1),E(4,5),E(2,14),E(1,19)];The draft ratio of colored yarns corresponding to the fifth ternary color mixing combination with unchanged hue and changing chroma: [E(5,1),E(4,5),E(2,14),E(1,19 )];第6种三元混色组合所对应色相不变、彩度变化彩色纱线牵伸比:[E(5,1),E(4,6),E(2,17),E(1,23)];The draft ratio of colored yarns corresponding to the sixth ternary color mixing combination with unchanged hue and changing chroma: [E(5,1),E(4,6),E(2,17),E(1,23 )];则基于上述纺纱工艺参数的设计,实现在全色域色谱范围内纺制六种三元混色组合分别所对应色相不变、彩度变化的彩色纱线。Based on the design of the above-mentioned spinning process parameters, it is possible to spin six kinds of three-dimensional mixed color combinations corresponding to color yarns with unchanged hue and changing chromaticity within the full color gamut chromatographic range.
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