CN112785664B - Construction and application of multi-dimensional coupling color mixing model and gradient chromatography matrix algorithm - Google Patents
Construction and application of multi-dimensional coupling color mixing model and gradient chromatography matrix algorithm Download PDFInfo
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Abstract
The invention relates to a multi-dimensional coupling color mixing model and gradient chromatography matrix algorithm construction application, which adopts a brand-new digital color matching logic design to construct a pigment discrete color mixing model and a visualization algorithm of a color mixing chromatogram thereof so as to realize digital virtual color matching of color yarns, and in practical application, a standard color mixing chromatogram can be constructed by combining and blending yellow, cyan, magenta, black, white and other five-primary-color fibers, so that a reference basis can be provided for color matching of the color yarns, and a digital model of the pigment color mixing is specifically constructed; a sequencing mixed color spectrum algorithm based on pigment blending and large color spectrum data are constructed, and the full color spectrum system comprises a complete hue based on pigment color matching and different lightness and saturation; a color gradient mode and gradient chromatogram big data based on pigment blending are constructed; compared with the traditional color matching scheme, the method has the advantages that the visualization of the color matching is obtained, and the working efficiency of the actual color spectrum construction is improved.
Description
Technical Field
The invention relates to a construction and application of a multi-dimensional coupling color mixing model and a gradient chromatography matrix algorithm, belonging to the technical field of pigment color mixing spinning and dye color mixing dyeing in the textile industry.
Background
The pigment can be obtained by the technical means of dyeing, stock solution coloring, biological transgenosis, structural color generation and the like of textile fiber materials. According to the mixed color regulation and control principle, a plurality of different color fibers are mixed in a certain proportion, and the hue, the lightness and the saturation of the color mixture can be regulated and controlled within a certain color gamut range by regulating the mixing proportion.
At present, in the aspects of color paste blending, dye blending, color fiber blending and the like, the color blending is carried out by taking a manual proofing and fault-tolerant color-blending test as means according to the experience and subjective feeling of a color designer, and the defects of long proofing test period, uncertain test result, lack of universality of process formulas and the like exist.
The core content of color design includes color deployment, color replication, and color innovation. The color paste, the dye and the color fiber are mixed to carry out color mixing and proofing, on one hand, the weight mixing proportion of different pigments is optimally designed, and on the other hand, the matching mode of different colors is optimally designed. At present, a computer color measuring and matching technology is combined with manual proofing, different hue combinations and mixing ratios thereof are selected for proofing, and obtained colors are judged and optimized. The traditional color matching method mainly has the following problems:
1. a digital model of color matching and matching of colors is not constructed, color mixing is a mixing process of colors of different colors, a physical model is not established in the traditional color matching method to carry out digital expression on the color mixing process of the colors, and the digital expression on the quality mixing ratio and the color mixing ratio change rule of the color mixing process by constructing the physical model is needed.
2. The algorithm and the chromatogram big data of the serialized mixed chromatogram based on pigment blending are not constructed, and the color blending and matching process of the pigments has the problems of selection of a pigment basic color combination mode and selection of a gradient mixed mode between basic colors. Based on the basic color combination mode and the gridding mixed mode optimization configuration of the pigments, the serialized color mixing chromatogram of the pigments can be obtained, and the full chromatogram big data of the pigment toning and matching is constructed, wherein the full chromatogram big data comprises a full chromatogram system based on the complete hue and different lightness and saturation of the pigment matching.
3. A color gradient mode based on pigment blending and large gradient chromatogram data are not constructed, the gradient is a serialized color with gradually changed hue, lightness and saturation, and the serialized gradient color is obtained by gradually changing the hue, the lightness and the saturation with a smaller gradient. It is usually necessary to construct a gridded mixed color chromatogram with a reasonable gradient and then plan a gradient path based on the mixed color chromatogram, so as to obtain a series of gradient chromatograms.
Disclosure of Invention
The invention aims to solve the technical problems of providing a multi-dimensional coupling color mixing model and a gradient chromatogram matrix algorithm construction application, realizing digital virtual color matching of colored yarns by adopting brand-new digital color matching logic design, obtaining the visualization of color matching and improving the working efficiency of actual chromatogram construction.
In order to solve the technical problems, the invention adopts the following technical scheme: the invention designs a multi-dimensional coupling color mixing model and a gradient chromatography matrix algorithm construction application, which comprises the following steps:
step A, aiming at least two pigments, coupling the pigments according to preset proportions respectively corresponding to the masses of the pigments to obtain the mass of a coupled mixture, further constructing a mixture mass matrix based on value ranges of the preset proportions respectively corresponding to the masses of the pigments, and then entering step B;
b, obtaining the mixing ratio corresponding to each pigment in the mixture according to the mass of the mixture obtained by coupling the pigments, and entering the step C;
step C, combining the mixing ratios respectively corresponding to the various pigments in the mixture according to the RGB colors respectively corresponding to the various pigments to obtain the RGB colors corresponding to the mixture, further constructing a mixed color chromatographic matrix based on the value ranges of the preset proportions respectively corresponding to the qualities of the various pigments, and then entering the step D;
and D, constructing a pigment gradual change mode and a gradual change matrix corresponding to the mixture according to the color mixture chromatographic matrix.
As a preferred technical scheme of the invention: if the two pigments are used, the steps A to C are as follows:
step A, aiming at two pigments, respectively coupling the two pigments according to preset proportions 11-i and i-1 corresponding to the masses P and Q of the pigments respectively to obtain the mass A of a coupled and mixed body i The following:
A i ＝P(11-i)+Q(i-1)
and then constructing a mixture mass matrix based on the value ranges of the preset proportions respectively corresponding to the masses of the various pigments, namely the value range of i is an integer from 1 to 11, as follows:
M 1×11 ＝[A 1 A 2 A 3 A 4 A 5 A 6 A 7 A 8 A 9 A 10 A 11 ]
then entering the step B;
step B, the mass A of the obtained mixture is coupled according to various pigments i And obtaining the mixing ratio x and y corresponding to each pigment in the mixture respectively as follows:
x＝P(11-i)/[P(11-i)+Q(i-1)]
y＝Q(i-1)/[P(11-i)+Q(i-1)]
then entering step C;
step C, combining the mixing ratios of the pigments in the mixture according to the RGB colors corresponding to the pigments respectively to obtain the RGB color C corresponding to the mixture i The following were used:
and then constructing a mixed color chromatographic matrix based on the value ranges of the preset proportions respectively corresponding to the qualities of the various pigments as follows:
δ 1×11 ＝[C 1 C 2 C 3 C 4 C 5 C 6 C 7 C 8 C 9 C 10 C 11 ]
then step D is entered.
As a preferred technical scheme of the invention: based on the two pigments, in the step D, according to the color mixture chromatography matrix corresponding to the two pigments, a pigment gradient mode and a gradient matrix corresponding to the mixture are constructed as follows:
based on i =1, 2, 3, 9, 10, 11, the gradual change path and nodes thereof for constructing the binary coupled color mixing matrix are as follows:
C 1 C 2 … C 10 C 11 C 10 … C 2 C 1
further based on the color of the gradient path, a binary coupling color mixing matrix gradient chromatographic matrix is constructed as follows:
wherein, when mu 1 When the temperature is less than or equal to 11, then
When 11 < mu 1 When the ratio is less than or equal to 21, then
As a preferred technical scheme of the invention: if the coloring materials are three, the steps A to C are as follows:
step A, aiming at three pigments, coupling the three pigments according to preset proportions 12-i-j, j-1 and i-1 respectively corresponding to the qualities P, Q and S of the pigments to obtain the quality A of a coupled and mixed body i,j The following:
A i,j ＝P(12-i-j)+Q(j-1)+S(i-1)
and then constructing a mixture mass matrix based on the value ranges of the preset proportions respectively corresponding to the masses of the various pigments, namely the value ranges of i and j are integers from 1 to 11, and i + j is less than or equal to 11, wherein the mass matrix comprises the following components:
then entering the step B;
step B, the mass A of the obtained mixture is coupled according to various pigments i,j And obtaining the mixing ratios x, y and z respectively corresponding to various pigments in the mixture as follows:
x＝P(12-i-j)/[P(12-i-j)+Q(j-1)+S(i-1)]
y＝Q(j-1)/[P(12-i-j)+Q(j-1)+S(i-1)]
z＝S(i-1)/[P(12-i-j)+Q(j-1)+S(i-1)]
then entering step C;
and C, combining the mixing ratios respectively corresponding to the various pigments in the mixture according to the RGB colors respectively corresponding to the various pigments to obtain the RGB color C corresponding to the mixture i,j The following were used:
and then constructing a mixed color chromatographic matrix based on the value ranges of the preset proportions respectively corresponding to the qualities of the pigments as follows:
then step D is entered.
As a preferred technical scheme of the invention: based on the three pigments, in the step D, according to the color mixture chromatography matrix corresponding to the three pigments, a pigment gradient mode and a gradient matrix corresponding to the mixture are constructed as follows:
constructing a large triangle cyclic gradient path, a middle triangle cyclic gradient path, a small triangle cyclic gradient path and a 45-degree cyclic gradient path in the ternary coupling color mixing matrix based on the fact that the value ranges of i and j are integers from 1 to 11 and i + j is less than or equal to 11;
the large triangular cyclic gradual change path and the nodes of the constructed ternary coupling color mixing matrix are as follows:
C 1,1 、…、C 1,6 、…、C 1,11 、…、C 6,6 、…、C 11,1 、…C 6,1 、…、C 2,1 、C 1,1
based on the color of the large triangular cyclic gradient path, a large triangular cyclic gradient chromatographic matrix of the ternary coupling color mixing matrix is constructed as follows:
wherein, 1 is less than or equal to xi 1 When the temperature is less than or equal to 11, then
When 11 is less than or equal to xi 1 When the ratio is less than or equal to 21, then
When 21 is less than or equal to ξ 1 When the ratio is less than or equal to 31, then
The middle triangular cyclic gradual change path and the nodes of the constructed ternary coupling color mixing matrix are as follows:
C 2,2 、…、C 2,5 、…、C 2,9 、…、C 6,5 、…、C 9,2 、…、C 5,2 、…、C 3,2 、C 2,2
further based on the color of the middle triangular cyclic gradient path, constructing a triangular cyclic gradient chromatographic matrix in the ternary coupling color mixing matrix as follows:
wherein, 1 is less than or equal to xi 2 When the temperature is less than or equal to 8, then
When 8 is less than or equal to xi 2 When the temperature is less than or equal to 15, then
When 15 is less than or equal to xi 2 When the temperature is less than or equal to 22, then
The small triangular cyclic gradual change path of the constructed ternary coupling color mixing matrix and the nodes thereof are composed as follows:
C 3,3 、…、C 3,5 、…、C 3,7 、…、C 5,5 、…、C 7,3 、…C 5,3 、…、C 4,3 、C 3,3
based on the color of the small triangle circular gradient path, a ternary coupling color mixing matrix small triangle circular gradient chromatography matrix is constructed as follows:
wherein, 1 is less than or equal to xi 3 When the temperature is less than or equal to 5, then
When 5 is less than or equal to xi 3 When the ratio is less than or equal to 9, then
When 9 is less than or equal to xi 3 When the temperature is less than or equal to 13, then
The 45-degree cyclic gradient path and the nodes of the constructed ternary coupling color mixing matrix are as follows:
C 1,1 、…、C 3,3 、…、C 6,6 、…、C 3,3 、…、C 2,2 、C 1,1
based further on the color of the 45-degree cyclic gradient path, a ternary coupling color mixing matrix 45-degree cyclic gradient chromatographic matrix is constructed as follows:
wherein, 1 is less than or equal to xi 4 When the temperature is less than or equal to 6, then
When 6 is less than or equal to xi 4 When the temperature is less than or equal to 11, then
As a preferred technical scheme of the invention: if the pigments are four, the steps A to C are as follows:
step A, aiming at the four pigments, coupling the four pigments according to the preset proportions 12-i-j, j-1, i-k and k-1 respectively corresponding to the masses P, Q, S and E of the pigments to obtain the mass A of a coupled and mixed body i,j,k The following were used:
A i,j,k ＝P(12-i-j)+Q(j-1)+S(i-k)+E(k-1)
and then constructing a mixture mass matrix based on value ranges of preset proportions respectively corresponding to the masses of various pigments, namely the value ranges of i, j and k are integers from 1 to 11, i + j is less than or equal to 12, i is more than or equal to k, and j + k is less than or equal to 12 as follows:
then entering the step B;
step B, the mass A of the obtained mixture is coupled according to various pigments i,j,k And obtaining the mixing ratios x, y, z and u respectively corresponding to the various pigments in the mixture as follows:
x＝P(12-i-j)/[P(12-i-j)+Q(j-1)+S(i-k)+E(k-1)]
y＝Q(j-1)/[P(12-i-j)+Q(j-1)+S(i-k)+E(k-1)]
z＝S(i-k)/[P(12-i-j)+Q(j-1)+S(i-k)+E(k-1)]
u＝E(k-1)/[P(12-i-j)+Q(j-1)+S(i-k)+E(k-1)]
then entering step C;
step C, combining the mixing ratios of the pigments in the mixture according to the RGB colors corresponding to the pigments respectively to obtain the RGB color C corresponding to the mixture i,j,k The following:
and then constructing a mixed color chromatographic matrix based on the value ranges of the preset proportions respectively corresponding to the qualities of the various pigments as follows:
then step D is entered.
As a preferred technical scheme of the invention: based on the four pigments, in the step D, according to the color mixing chromatography matrix corresponding to the four pigments, a pigment gradient mode and a gradient matrix corresponding to the mixture are constructed as follows:
based on the fact that the value ranges of i, j and k are integers from 1 to 11, i + j is less than or equal to 12, i is greater than or equal to k, and j + k is less than or equal to 12, the gradient path of the quaternary coupling color mixing matrix and the node composition thereof are constructed as follows:
C 1,1,1 、…、C 1,11,1 、…、C 11,1,1 、…、C 1,1,1 、…、C 11,1,11 、…、C 11,1,1 、…、C 1,11,1 、…、C 11,1,11 、…、C 2,1,2 、C 1,1,1
further based on the color of the gradient path, a gradient color spectrum matrix of the quaternary coupling color mixing matrix is constructed as follows:
wherein, 1 is less than or equal to xi 5 When the temperature is less than or equal to 11, then
When 11 is less than or equal to xi 5 When the ratio is less than or equal to 21, then
When 21 is less than or equal to ξ 5 When the ratio is less than or equal to 31, then
When 31 is less than or equal to xi 5 When the flow rate is less than or equal to 41, then
When 41 is less than or equal to xi 5 When the temperature is less than or equal to 51, then
When 51 is less than or equal to xi 5 When the temperature is less than or equal to 61, then
When 61 is less than or equal to xi 5 When the temperature is less than or equal to 71, then
When 71 is less than or equal to xi 5 When the temperature is less than or equal to 81 deg.C, then
Compared with the prior art, the multi-dimensional coupling color mixing model and the gradient chromatography matrix algorithm are established and applied, and the technical scheme has the following technical effects:
the invention designs a multi-dimensional coupling color mixing model and a gradient color spectrum matrix algorithm for construction application, adopts brand-new digital color matching logic design to construct a pigment discrete color mixing model and a visualization algorithm of a color mixing color spectrum thereof, and realizes digital virtual color matching of color yarns; a sequencing mixed color spectrum algorithm based on pigment blending and large color spectrum data are constructed, and the full color spectrum system comprises a complete hue based on pigment color matching and different lightness and saturation; a color gradual change mode based on pigment blending and big data of gradual change color spectrum are constructed; compared with the traditional color matching scheme, the method has the advantages that the visualization of the color matching is obtained, and the working efficiency of the actual color spectrum construction is improved.
Drawings
FIG. 1 is a schematic flow chart of a multi-dimensional coupled color mixing model and a gradient chromatography matrix algorithm construction application designed by the invention;
FIG. 2 is a triangular pyramid color space corresponding to a four-element coupled color mixing matrix in an application contemplated by the present invention.
Detailed Description
The following description will explain embodiments of the present invention in further detail with reference to the accompanying drawings.
The invention designs a multi-dimensional coupling color mixing model and a gradient chromatography matrix algorithm construction application, and specifically executes the following steps A to D as shown in figure 1.
Step A, aiming at least two pigments, coupling the pigments according to preset proportions respectively corresponding to the masses of the pigments to obtain the mass of the coupled mixture, further constructing a mixture mass matrix based on value ranges of the preset proportions respectively corresponding to the masses of the pigments, and then entering step B.
And B, obtaining the mixing ratio corresponding to each pigment in the mixture according to the mass of the mixture obtained by coupling each pigment, and then entering the step C.
And C, combining the RGB colors corresponding to the various pigments in the mixture according to the RGB colors corresponding to the various pigments respectively and the corresponding mixing ratio of the various pigments in the mixture to obtain the RGB colors corresponding to the mixture, further constructing a mixed color chromatographic matrix based on the value ranges of the preset proportions corresponding to the qualities of the various pigments respectively, and then entering the step D.
And D, constructing a pigment gradual change mode and a gradual change matrix corresponding to the mixture according to the color mixture chromatographic matrix.
In practical applications, three embodiments are specifically designed and applied to two colorants, three colorants and four colorants respectively, wherein the following steps a to C are specifically performed in the embodiment one, i.e., two colorants.
Step A, aiming at two pigments, coupling the two pigments according to preset proportions 11-i and i-1 respectively corresponding to qualities P and Q of the pigments to obtain quality A of a coupled and mixed body i The following:
A i ＝P(11-i)+Q(i-1)
and then constructing a mixture mass matrix based on the value ranges of the preset proportions respectively corresponding to the masses of the various pigments, namely the value range of i is an integer from 1 to 11, as follows:
M 1×11 ＝[A 1 A 2 A 3 A 4 A 5 A 6 A 7 A 8 A 9 A 10 A 11 ]
then step B is entered.
B, according to the mass A of the obtained mixture obtained by coupling various pigments i And obtaining the mixing ratio x and y corresponding to each pigment in the mixture respectively as follows:
x＝P(11-i)/[P(11-i)+Q(i-1)]
y＝Q(i-1)/[P(11-i)+Q(i-1)]
then step C is entered.
Step C, combining the mixing ratios of the pigments in the mixture according to the RGB colors corresponding to the pigments respectively to obtain the RGB color C corresponding to the mixture i The following were used:
and then constructing a mixed color chromatographic matrix based on the value ranges of the preset proportions respectively corresponding to the qualities of the various pigments as follows:
δ 1×11 ＝[C 1 C 2 C 3 C 4 C 5 C 6 C 7 C 8 C 9 C 10 C 11 ]
then step D is entered.
When the masses of the two coloring materials are equal, then C i The following were used:
based on the application of the two pigments in the steps a to C and further based on the two pigments, in the step D, according to the color mixing chromatogram matrix corresponding to the two pigments, a color gradation mode and a gradation matrix corresponding to the mixture are constructed as follows:
based on i =1, 2, 3., 9, 10, 11, the gradient path for constructing the binary coupled color mixing matrix is P → Q → P, i.e. as follows:
C 1 C 2 … C 10 C 11 C 10 … C 2 C 1
further based on the color of the gradient path, a binary coupling color mixing matrix gradient chromatographic matrix is constructed as follows:
wherein, when mu 1 When the temperature is less than or equal to 11, then
When 11 < mu 1 When the ratio is less than or equal to 21, then
Then, for two color materials P and Q, the gradient path is P → Q → P in the coupled color mixing space, and the color values P (0, 255) and Q (255, 0, 255) are set respectively, and according to the gradient path matrix formula, the RGB color values of the gradient color spectrum are as shown in the following table 1:
TABLE 1 binary coupled gradient chromatography
The second example is three colors, and the following steps A to C are specifically performed.
Step A, aiming at three pigments, coupling the three pigments according to preset proportions 12-i-j, j-1 and i-1 respectively corresponding to the qualities P, Q and S of the pigments to obtain the quality A of a coupled and mixed body i,j The following were used:
A i,j ＝P(12-i-j)+Q(j-1)+S(i-1)
and then constructing a mixture mass matrix based on value ranges of preset proportions respectively corresponding to the masses of various pigments, namely the value ranges of i and j are integers from 1 to 11, and i + j is less than or equal to 11, wherein the mass matrix comprises the following components:
then step B is entered.
B, according to the mass A of the obtained mixture obtained by coupling various pigments i,j And obtaining the mixing ratios x, y and z respectively corresponding to various pigments in the mixture as follows:
x＝P(12-i-j)/[P(12-i-j)+Q(j-1)+S(i-1)]
y＝Q(j-1)/[P(12-i-j)+Q(j-1)+S(i-1)]
z＝S(i-1)/[P(12-i-j)+Q(j-1)+S(i-1)]
then step C is entered.
Step C, combining the mixing ratios of the pigments in the mixture according to the RGB colors corresponding to the pigments respectively to obtain the RGB color C corresponding to the mixture i,j The following:
and then constructing a mixed color chromatographic matrix based on the value ranges of the preset proportions respectively corresponding to the qualities of the pigments as follows:
then step D is entered.
When the masses of the three coloring materials are equal, C is i,j The following:
based on the applications of the three pigments in the steps a to C and further based on the three pigments, in the step D, according to the color mixing chromatogram matrix corresponding to the three pigments, the color gradation mode and the gradation matrix corresponding to the mixture are constructed as follows:
the ternary coupling color mixing uses 10% as color mixing gradient to obtain 66 different color mixing ratios, and can be used as a chromatographic library of gradient chromatogram using 10% as gradient to obtain gradient chromatograms with different color changes by planning paths.
Construction of colorant P (R) based on ternary coupling formula P ,G P ,B P )、Q(R Q ,G Q ,B Q ) And S (R) S ,G S ,B S ) Gradient matrix with gradient of 10%. Let C i,j Representing a color mixing result in a ternary coupling color mixing mode, constructing a large triangular circulation gradual change path, a middle triangular circulation gradual change path, a small triangular circulation gradual change path and a 45-degree circulation gradual change path in a ternary coupling color mixing matrix based on that the value ranges of i and j are integers from 1 to 11, and i + j is less than or equal to 11;
the large triangular cyclic gradual change path and the nodes of the constructed ternary coupling color mixing matrix are as follows:
C 1,1 、…、C 1,6 、…、C 1,11 、…、C 6,6 、…、C 11,1 、…C 6,1 、…、C 2,1 、C 1,1
the color with different proportions in 1 row and 31 columns corresponding to the path can be converted into a chromatographic matrix with 1 row and 31 columns as follows. The gradual change path color spectrum sequence number selected based on the color mixture color spectrum has discontinuity and leap. In order to uniformly express the serialized chromatograms constructed based on the gradient paths by using the gradient chromatogram matrix, the subscript numbers of the original mixed-color chromatograms are uniformly converted into the subscript numbers of the gradient chromatogram matrix, and a mixed-color function with the subscript numbers of the gradient chromatograms as independent variables is constructed.
For example, fade the corresponding color C of the path 1,1 、C 1,2 、C 1,3 、C 1,4 、C 1,5 、C 1,6 、C 1,7 、C 1,8 、C 1,9 、C 1,10 、C 1,11 By using
D 1,1 、D 1,2 、D 1,3 、D 1,4 、D 1,5 、D 1,6 、D 1,7 、D 1,8 、D 1,9 、D 1,10 、D 1,11 Replacement of will
C 1,11 、C 2,10 、C 3,9 、C 4,8 、C 5,7 、C 6,6 、C 7,5 、C 8,4 、C 9,3 、C 10,2 、C 11,1 By using
D 1,11 、D 1,12 、D 1,13 、D 1,14 、D 1,15 、D 1,16 、D 1,17 、D 1,18 、D 1,19 、D 1,20 、D 1,21 Replacement of will
C 11,1 、C 10,1 、C 9,1 、C 8,1 、C 7,1 、C 6,1 、C 5,1 、C 4,1 、C 3,1 、C 2,1 、C 1,1 By using
D 1,21 、D 1,22 、D 1,23 、D 1,24 、D 1,25 、D 1,26 、D 1,27 、D 1,28 、D 1,29 、D 1,30 、D 1,31 And (4) replacement.
Based on the color of the large triangular cyclic gradient path, a large triangular cyclic gradient chromatographic matrix of the ternary coupling color mixing matrix is constructed as follows:
wherein, 1 is less than or equal to xi 1 When the temperature is less than or equal to 11, then
When 11 is less than or equal to xi 1 When the temperature is less than or equal to 21, then
When 21 is less than or equal to ξ 1 When the ratio is less than or equal to 31, then
The middle triangular cyclic gradual change path and the nodes of the constructed ternary coupling color mixing matrix are as follows:
C 2,2 、…、C 2,5 、…、C 2,9 、…、C 6,5 、…、C 9,2 、…、C 5,2 、…、C 3,2 、C 2,2
the color with different proportions in 1 row and 22 columns corresponding to the path can be converted into a chromatographic matrix with 1 row and 22 columns as follows. The gradual change path color spectrum sequence number selected based on the color mixture color spectrum has discontinuity and leap. In order to uniformly express the serialized chromatograms constructed based on the gradient paths by using the gradient chromatogram matrix, the subscript numbers of the original mixed-color chromatograms are uniformly converted into the subscript numbers of the gradient chromatogram matrix, and a mixed-color function with the subscript numbers of the gradient chromatograms as independent variables is constructed.
Will fade the corresponding color C of the path 2,2 、C 2,3 、C 2,4 、C 2,5 、C 2,6 、C 2,7 、C 2,8 、C 2,9 By D 1,1 、D 1,2 、D 1,3 、D 1,4 、D 1,5 、D 1,6 、D 1,7 、D 1,8 Replacement of C 2,9 、C 3,8 、C 4,7 、C 5,6 、C 6,5 、C 7,4 、C 8,3 、C 9,2 By D 1,8 、D 1,9 、D 1,10 、D 1,11 、D 1,12 、D 1,13 、D 1,14 、D 1,15 Replacement of C 9,2 、C 8,2 、C 7,2 、C 6,2 、C 5,2 、C 4,2 、C 3,2 、C 2,2 By D 1,15 、D 1,16 、D 1,17 、D 1,18 、D 1,19 、D 1,20 、D 1,21 、D 1,22 And (4) replacement.
And further constructing a triangular cyclic gradient chromatographic matrix in the ternary coupling color mixing matrix based on the color of the medium triangular cyclic gradient path as follows:
wherein, 1 is less than or equal to xi 2 When the temperature is less than or equal to 8, then
When 8 is less than or equal to xi 2 When the temperature is less than or equal to 15, then
When the voltage is not less than 15 and is not more than xi 2 When the temperature is less than or equal to 22, then
The small triangular circulating gradual change path of the constructed ternary coupling color mixing matrix and the nodes thereof are as follows:
C 3,3 、…、C 3,5 、…、C 3,7 、…、C 5,5 、…、C 7,3 、…C 5,3 、…、C 4,3 、C 3,3
the color with different proportions in 1 row and 13 columns corresponding to the path can be converted into a chromatographic matrix with 1 row and 13 columns as follows. The gradual change path color spectrum sequence number selected based on the color mixture color spectrum has discontinuity and leap. In order to uniformly express the serialized chromatograms constructed based on the gradient paths by using the gradient chromatogram matrix, the subscript numbers of the original mixed-color chromatograms are uniformly converted into the subscript numbers of the gradient chromatogram matrix, and a mixed-color function with the subscript numbers of the gradient chromatograms as independent variables is constructed.
Will fade the corresponding color C of the path 3,3 、C 3,4 、C 3,5 、C 3,6 、C 3,7 By D 1,1 、D 1,2 、D 1,3 、D 1,4 、D 1,5 Replacement of C 3,7 、C 4,6 、C 5,5 、C 6,4 、C 7,3 By D 1,5 、D 1,6 、D 1,7 、D 1,8 、D 1,9 Replacement of C 7,3 、C 6,3 、C 5,3 、C 4,3 、C 3,3 By D 1,9 、D 1,10 、D 1,11 、D 1,12 、D 1,13 And (4) replacement.
Based on the color of the small triangle circular gradient path, a ternary coupling color mixing matrix small triangle circular gradient chromatography matrix is constructed as follows:
wherein, 1 is less than or equal to xi 3 When the temperature is less than or equal to 5, then
When 5 is less than or equal to xi 3 When the ratio is less than or equal to 9, then
When 9 is less than or equal to xi 3 When the temperature is less than or equal to 13, then
The 45-degree cyclic gradient path and the nodes of the constructed ternary coupling color mixing matrix are as follows:
C 1,1 、…、C 3,3 、…、C 6,6 、…、C 3,3 、…、C 2,2 、C 1,1
the color of different proportion in 1 row and 11 columns corresponding to the path can be constructed into a chromatographic matrix of 1 row and 11 columns by the following transformation. The gradual change path color spectrum sequence number selected based on the color mixture color spectrum has discontinuity and leap. In order to uniformly express the serialized chromatograms constructed based on the gradient paths by using the gradient chromatogram matrix, the subscript numbers of the original mixed-color chromatograms are uniformly converted into the subscript numbers of the gradient chromatogram matrix, and a mixed-color function with the subscript numbers of the gradient chromatograms as independent variables is constructed.
Will fade the corresponding color C of the path 1,1 、C 2,2 、C 3,3 、C 4,4 、C 5,5 、C 6,6 By D 1,1 、D 1,2 、D 1,3 、D 1,4 、D 1,5 、D 1,6 Replacement of C 6,6 、C 5,5 、C 4,4 、C 3,3 、C 2,2 、C 1,1 By D 1,6 、D 1,7 、D 1,8 、D 1,9 、D 1,10 、D 1,11 And (4) replacement.
Based further on the color of the 45-degree cyclic gradient path, a ternary coupling color mixing matrix 45-degree cyclic gradient chromatographic matrix is constructed as follows:
wherein, 1 is less than or equal to xi 4 When the content is less than or equal to 6, then
When 6 is less than or equal to xi 4 When the temperature is less than or equal to 11, then
In practical application, for three-color pigments P, Q, and S, there are four gradual change paths in the coupled color mixing space: big triangle gradual change, medium triangle gradual change, little triangle gradual change, 45 degree gradual change. Setting the color values P (0, 255), Q (255, 0, 255) and S (255, 0) respectively, and according to the gradient path matrix formula, the RGB color values of the corresponding gradient chromatogram are shown in the following tables 2, 3 and 4:
TABLE 2 ternary coupling gradient chromatography
TABLE 3 ternary coupled gradient chromatography
TABLE 4 ternary coupling gradient chromatography
TABLE 5 ternary coupled gradient chromatography
| Gradual change mould Formula (II) | Color 1 | Color 2 | Color 3 | Color 4 | Color 5 | Color 6 | Color 7 | Color 8 | Color 9 | Color 10 | Color 11 | Color 12 |
| 45 degree gradual change | 255,0, 255 | 230,51, 230 | 204,102, 204 | 179,153, 179 | 153,204, 153 | 128,255, 128 | 153,204, 153 | 179,153, 179 | 204,102, 204 | 230,51, 230 | 255,0, 255 | 230,51, 230 |
Example three, four colorants, the following steps a through C were specifically performed.
Step A, aiming at the four pigments, coupling the four pigments according to the preset proportions 12-i-j, j-1, i-k and k-1 respectively corresponding to the masses P, Q, S and E of the pigments to obtain the mass A of a coupled and mixed body i,j,k The following were used:
A i,j,k ＝P(12-i-j)+Q(j-1)+S(i-k)+E(k-1)
and then constructing a mixture mass matrix based on value ranges of preset proportions respectively corresponding to the masses of various pigments, namely the value ranges of i, j and k are integers from 1 to 11, i + j is less than or equal to 12, i is more than or equal to k, and j + k is less than or equal to 12 as follows:
then step B is entered.
The matrix can be decomposed into 11 small matrices. The method comprises the following specific steps:
when k =1, the matrix is as follows:
when k =2, the matrix is as follows:
when k =3, the matrix is as follows:
when k =4, the matrix is as follows:
when k =5, the matrix is as follows:
when k =6, the matrix is as follows:
when k =7, the matrix is as follows:
when k =8, the matrix is as follows:
when k =9, the matrix is as follows:
when k =10, the matrix is as follows:
when k =11, the matrix is as follows:
step B, the mass A of the obtained mixture is coupled according to various pigments i,j,k And obtaining the mixing ratios x, y, z and u respectively corresponding to the various pigments in the mixture as follows:
x＝P(12-i-j)/[P(12-i-j)+Q(j-1)+S(i-k)+E(k-1)]
y＝Q(j-1)/[P(12-i-j)+Q(j-1)+S(i-k)+E(k-1)]
z＝S(i-k)/[P(12-i-j)+Q(j-1)+S(i-k)+E(k-1)]
u＝E(k-1)/[P(12-i-j)+Q(j-1)+S(i-k)+E(k-1)]
then step C is entered.
Step C, combining the mixing ratios of the pigments in the mixture according to the RGB colors corresponding to the pigments respectively to obtain the RGB color C corresponding to the mixture i,j,k The following were used:
and then constructing a mixed color chromatographic matrix based on the value ranges of the preset proportions respectively corresponding to the qualities of the pigments as follows:
then step D is entered.
When the four pigments are equal in mass, C is i,j,k The following were used:
based on the application of the four pigments in the steps a to C and further based on the four pigments, in the step D, according to the color mixing chromatographic matrix corresponding to the four pigments, a pigment gradient mode and a gradient matrix corresponding to the mixture are constructed as follows:
since the four-element coupled color mixing matrix is a triangular pyramid color space, as shown in FIG. 2, the gradient matrix can be built according to this model. Therefore, the four-element coupling gradient matrix is obtained on the basis of the ridge line.
Based on the fact that the value ranges of i, j and k are integers from 1 to 11, i + j is less than or equal to 12, i is more than or equal to k, and j + k is less than or equal to 12, a gradient path P → Q → S → P → E → S → Q → E → P of the quaternary coupling color mixing matrix is constructed, namely, the following steps are carried out:
C 1,1,1 、…、C 1,11,1 、…、C 11,1,1 、…、C 1,1,1 、…、C 11,1,11 、…、C 11,1,1 、…、C 1,11,1 、…、C 11,1,11 、…、C 2,1,2 、C 1,1,1
the 1 row and 81 column color with different proportions corresponding to the path can be converted as follows to construct a chromatographic matrix with 1 row and 81 columns. The gradual change path color spectrum sequence number selected based on the color mixture color spectrum has discontinuity and leap. In order to uniformly express the serialized chromatograms constructed based on the gradient paths by using the gradient chromatogram matrix, the subscript numbers of the original mixed-color chromatograms are uniformly converted into the subscript numbers of the gradient chromatogram matrix, and a mixed-color function taking the subscript numbers of the gradient chromatograms as arguments is constructed.
Will fade the corresponding color C of the path 1,1,1 、C 1,2,1 、C 1,3,1 、C 1,4,1 、C 1,5,1 、C 1,6,1 、C 1,7,1 、C 1,8,1 、C 1,9,1 、C 1,10,1 、C 1,11,1 By using
D 1,1 、D 1,2 、D 1,3 、D 1,4 、D 1,5 、D 1,6 、D 1,7 、D 1,8 、D 1,9 、D 1,10 、D 1,11 Replacement of will
C 1,11,1 、C 2,10,1 、C 3,9,1 、C 4,8,1 、C 5,7,1 、C 6,6,1 、C 7,5,1 、C 8,4,1 、C 9,3,1 、C 10,2,1 、C 11,1,1 By using
D 1,11 、D 1,12 、D 1,13 、D 1,14 、D 1,15 、D 1,16 、D 1,17 、D 1,18 、D 1,19 、D 1,20 、D 1,21 Replacement by analogy, 8230
C 11,1,11 、C 10,1,10 、C 9,1,9 、C 8,1,8 、C 7,1,7 、C 6,1,6 、C 5,1,5 、C 4,1,4 、C 3,1,3 、C 2,1,2 、C 1,1,1 By using
D 1,271 、D 1,72 、D 1,73 、D 1,74 、D 1,5 、D 1,76 、D 1,77 、D 1,78 、D 1,79 、D 1,80 、D 1,81 And (4) replacement.
Further based on the color of the gradient path, a gradient color spectrum matrix of the quaternary coupling color mixing matrix is constructed as follows:
M 1×81 ＝[D 1,1 D 1,2 …D 1,ξ5 …D 1,80 D 1,81 ]
wherein, 1 is less than or equal to xi 5 When the temperature is less than or equal to 11, then
When 11 is less than or equal to xi 5 When the ratio is less than or equal to 21, then
When 21 is less than or equal to ξ 5 When the ratio is less than or equal to 31, then
When 31 is less than or equal to xi 5 When the ratio is less than or equal to 41, then
When 41 is less than or equal to xi 5 When the temperature is less than or equal to 51, then
When 51 is less than or equal to xi 5 When the temperature is less than or equal to 61, then
When 61 is less than or equal to xi 5 When the temperature is less than or equal to 71, then
When 71 is less than or equal to xi 5 When the temperature is less than or equal to 81 deg.C, then
In practical applications, for four colors, i.e., color P, color Q, color S, and color E, the gradient path is P → Q → S → P → E → S → Q → E → P, and the color values P (0, 255), Q (255, 0, 255), S (255, 0), and E (0, 0) are set respectively, and the RGB color values of the gradient color spectrum are shown in Table 6 below according to the matrix formula of the gradient path.
TABLE 6 Quaternary coupling gradient chromatogram
The multi-dimensional coupling color mixing model and the gradient color spectrum matrix algorithm are constructed and applied to practice, and a five-primary-color mixing mode is taken as an example, mixed colors of pigments are usually mixed on the basis of three primary colors, five primary colors and five primary colors, and a primary color and auxiliary color mode can be selected for color mixing. If five primary colors of cyan, magenta, yellow, black and white are selected as the colors of the roving, a mixed color matching mode of 5 primary colors, 10 binary color combinations, 10 ternary color combinations and 5 quaternary color combinations can be provided. If the mixing gradient is 10%, 11-286 colors can be obtained respectively if the coupled color mixing mode is selected, and the five-primary-color digital color mixing chromatogram is formed.
(1) Color value of five primary colors
According to the constructed binary coupling digital color mixing model suitable for uniformly mixing two colors, the ternary coupling color mixing digital visual model suitable for uniformly mixing three colors and the quaternary coupling color mixing digital visual model, based on five primary colors of magenta (M), cyan (C), yellow (Y), black (K) and white (W), photoshop and mixed color software are used, the five primary colors are respectively subjected to digital configuration according to a mixing ratio and a regulation and control combination mode with 10% as a mixing gradient, and the construction of a color mixing chromatogram is completed. The color RGB values for the five primary colors are as follows in table 7:
TABLE 7 color RGB values of the five primary colors
(2) Five-primary-color binary coupling color mixing mode
The binary coupled color mixing can be classified into hue color mixing, saturation color mixing, lightness color mixing and gray color mixing according to the combination mode, and all the color mixing modes can be listed according to the color combination and the coupled mixing mode, as shown in table 8 below.
TABLE 8 binary coupled color-mixing combination mode
| Combined mode | MY、MC、YC、CW、MW、YW、CK、MK、YK、KW |
(3) Five-primary-color ternary coupling color mixing mode
The ternary coupling color mixing is to add another color in the vertical direction for coupling mixing on the basis of coupling color mixing of two colors in the horizontal direction, and to keep the total amount of the three colors unchanged, which can also be called as a bidirectional coupling color mixing mode. In the two-way coupling mixed mode, the three colors are in parallel relation. The bidirectional coupling mode can list all color combinations according to the color adjusting and controlling manner and the bidirectional coupling mode, and the combination mode is specifically shown in table 9.
TABLE 9 ternary-coupling hybrid combination mode
| Combined mode | CMY、CMW、MYW、CYW、CMK、MYK、CYK、CKW、MKW、YKW |
(4) Five-primary-color quaternary coupling color mixing mode
The four-color coupling color mixing is to add a coordinate axis color in the direction vertical to the plane for coupling and mixing on the basis of the coupling color mixing of the three colors in the horizontal plane direction, and keep the total amount of the four colors unchanged, which can also be called as a three-direction coupling color mixing mode. In the three-way coupling mixed mode, the four colors are in parallel relation. The combination pattern is specifically shown in table 10.
TABLE 10 Quaternary coupled color mixing combination mode
| Combined mode | MYKW、CYKW、CMKW、CMYW、CMYK |
The technical scheme is designed for establishing application of a multi-dimensional coupling color mixing model and a gradient color spectrum matrix algorithm, a brand-new digital color matching logic design is adopted, a pigment discrete color mixing model and a visualization algorithm of a color mixing color spectrum of the pigment discrete color mixing model are established, and digital virtual color matching of the color yarns is realized; a sequencing mixed color spectrum algorithm based on pigment blending and large color spectrum data are constructed, and the full color spectrum system comprises a complete hue based on pigment color matching and different lightness and saturation; a color gradual change mode based on pigment blending and big data of gradual change color spectrum are constructed; compared with the traditional color matching scheme, the method has the advantages that the visualization of the color matching is obtained, and the working efficiency of the actual color spectrum construction is improved. The embodiments of the present invention have been described in detail with reference to the drawings, but the present invention is not limited to the above embodiments, and various changes can be made within the knowledge of those skilled in the art without departing from the gist of the present invention.
Claims (5)
1. The construction and application of the multi-dimensional coupling color mixing model and the gradient chromatography matrix algorithm are characterized by comprising the following steps of:
step A, aiming at least two pigments, coupling the pigments according to preset proportions respectively corresponding to the masses of the pigments to obtain the mass of a coupled mixture, constructing a mixture mass matrix based on value ranges of the preset proportions respectively corresponding to the masses of the pigments, and entering step B;
b, obtaining the mixing ratio corresponding to each pigment in the mixture according to the mass of the mixture obtained by coupling the pigments, and entering the step C;
step C, combining the mixing ratios respectively corresponding to the various pigments in the mixture according to the RGB colors respectively corresponding to the various pigments to obtain the RGB colors corresponding to the mixture, further constructing a mixed color chromatographic matrix based on the value ranges of the preset proportions respectively corresponding to the qualities of the various pigments, and then entering the step D;
d, constructing a pigment gradual change mode and a gradual change matrix corresponding to the mixture according to the color mixture chromatographic matrix;
if the coloring materials are two, the steps A to C are as follows:
step A, aiming at two pigments, coupling the two pigments according to preset proportions 11-i and i-1 respectively corresponding to qualities P and Q of the pigments to obtain quality A of a coupled and mixed body i The following:
A i ＝P(11-i)+Q(i-1)
and then constructing a mixture mass matrix based on the value ranges of the preset proportions respectively corresponding to the masses of the various pigments, namely the value range of i is an integer from 1 to 11, as follows:
M 1×11 ＝[A 1 A 2 A 3 A 4 A 5 A 6 A 7 A 8 A 9 A 10 A 11 ]
then entering the step B;
b, according to the mass A of the obtained mixture obtained by coupling various pigments i And obtaining the mixing ratio x and y corresponding to each pigment in the mixture respectively as follows:
x＝P(11-i)/[P(11-i)+Q(i-1)]
y＝Q(i-1)/[P(11-i)+Q(i-1)]
then entering step C;
and C, combining the mixing ratios respectively corresponding to the various pigments in the mixture according to the RGB colors respectively corresponding to the various pigments to obtain the RGB color C corresponding to the mixture i The following:
and then constructing a mixed color chromatographic matrix based on the value ranges of the preset proportions respectively corresponding to the qualities of the various pigments as follows:
δ 1×11 ＝[C 1 C 2 C 3 C 4 C 5 C 6 C 7 C 8 C 9 C 10 C 11 ]
then entering step D;
and D, constructing a pigment gradient mode and a gradient matrix corresponding to the mixture according to the color mixing chromatographic matrix corresponding to the two pigments as follows:
based on i =1, 2, 3, 9, 10, 11, the gradient paths and nodes thereof for constructing the binary coupled color mixing matrix are composed as follows:
C 1 C 2 …C 10 C 11 C 10 …C 2 C 1
further based on the color of the gradient path, a binary coupling color mixing matrix gradient chromatographic matrix is constructed as follows:
wherein, when mu 1 When the temperature is less than or equal to 11, then
When 11 < mu 1 When the ratio is less than or equal to 21, then
2. The building and application of the multi-dimensional coupled color mixing model and gradient chromatography matrix algorithm according to claim 1, characterized in that: if the coloring materials are three, the steps A to C are as follows:
step A, aiming at the three pigments, coupling the three pigments according to preset proportions 12-i-j, j-1 and i-1 respectively corresponding to the masses P, Q and S of the pigments to obtain the mass A of a coupled and mixed body i,j The following were used:
A i,j ＝P(12-i-j)+Q(j-1)+S(i-1)
and then constructing a mixture mass matrix based on the value ranges of the preset proportions respectively corresponding to the masses of the various pigments, namely the value ranges of i and j are integers from 1 to 11, and i + j is less than or equal to 11, wherein the mass matrix comprises the following components:
then entering the step B;
step B, the mass A of the obtained mixture is coupled according to various pigments i,j And obtaining the mixing ratios x, y and z respectively corresponding to various pigments in the mixture as follows:
x＝P(12-i-j)/[P(12-i-j)+Q(j-1)+S(i-1)]
y＝Q(j-1)/[P(12-i-j)+Q(j-1)+S(i-1)]
z＝S(i-1)/[P(12-i-j)+Q(j-1)+S(i-1)]
then entering step C;
and C, combining the mixing ratios respectively corresponding to the various pigments in the mixture according to the RGB colors respectively corresponding to the various pigments to obtain the RGB color C corresponding to the mixture i,j The following were used:
and then constructing a mixed color chromatographic matrix based on the value ranges of the preset proportions respectively corresponding to the qualities of the pigments as follows:
then step D is entered.
3. The application of the multi-dimensional coupled color mixing model and gradient chromatography matrix algorithm in the construction of the multi-dimensional coupled color mixing model and gradient chromatography matrix algorithm according to claim 2, wherein: based on the three pigments, in the step D, according to the color mixing chromatogram matrix corresponding to the three pigments, the pigment gradient mode and the gradient matrix corresponding to the mixture are constructed as follows:
constructing a large triangle cyclic gradient path, a middle triangle cyclic gradient path, a small triangle cyclic gradient path and a 45-degree cyclic gradient path in the ternary coupling color mixing matrix based on the fact that the value ranges of i and j are integers from 1 to 11 and i + j is less than or equal to 11;
the large triangular circulating gradual change path of the constructed ternary coupling color mixing matrix and the nodes thereof are composed as follows:
C 1,1 、…、C 1,6 、…、C 1,11 、…、C 6,6 、…、C 11,1 、…C 6,1 、…、C 2,1 、C 1,1
based on the color of the large triangular circular gradient path, a large triangular circular gradient chromatographic matrix of the ternary coupling color mixing matrix is constructed as follows:
wherein, 1 is less than or equal to xi 1 When the temperature is less than or equal to 11, then
When 11 is less than or equal to xi 1 When the temperature is less than or equal to 21, then
When 21 is less than or equal to ξ 1 When the ratio is less than or equal to 31, then
The middle triangular circulating gradual change path of the constructed ternary coupling color mixing matrix and the nodes thereof are composed as follows:
C 2,2 、…、C 2,5 、…、C 2,9 、…、C 6,5 、…、C 9,2 、…、C 5,2 、…、C 3,2 、C 2,2
further based on the color of the middle triangular cyclic gradient path, constructing a triangular cyclic gradient chromatographic matrix in the ternary coupling color mixing matrix as follows:
wherein, 1 is less than or equal to xi 2 When the ratio is less than or equal to 8, then
When 8 is less than or equal to xi 2 When the temperature is less than or equal to 15, then
When the voltage is not less than 15 and is not more than xi 2 When the temperature is less than or equal to 22, then
The small triangular cyclic gradual change path of the constructed ternary coupling color mixing matrix and the nodes thereof are composed as follows:
C 3,3 、…、C 3,5 、…、C 3,7 、…、C 5,5 、…、C 7,3 、…C 5,3 、…、C 4,3 、C 3,3
based on the color of the small triangle circular gradient path, a ternary coupling color mixing matrix small triangle circular gradient chromatography matrix is constructed as follows:
wherein, 1 is less than or equal to xi 3 When the temperature is less than or equal to 5, then
When 5 is less than or equal to xi 3 When the ratio is less than or equal to 9, then
When 9 is less than or equal to xi 3 When the temperature is less than or equal to 13, then
The 45-degree cyclic gradient path and the nodes of the constructed ternary coupling color mixing matrix are as follows:
C 1,1 、…、C 3,3 、…、C 6,6 、…、C 3,3 、…、C 2,2 、C 1,1
based on the color of the 45-degree cyclic gradient path, a ternary coupling color mixing matrix 45-degree cyclic gradient chromatographic matrix is constructed as follows:
wherein, 1 is less than or equal to xi 4 When the temperature is less than or equal to 6, then
When 6 is less than or equal to xi 4 When the temperature is less than or equal to 11, then
4. The application of the multi-dimensional coupled color mixing model and gradient chromatography matrix algorithm in the construction of the multi-dimensional coupled color mixing model and gradient chromatography matrix algorithm according to claim 1, wherein: if the pigments are four, the steps A to C are as follows:
step A, aiming at four pigments, coupling the four pigments according to preset proportions 12-i-j, j-1, i-k and k-1 respectively corresponding to the qualities P, Q, S and E of the pigments to obtain the quality A of a coupled and mixed body i,j,k The following were used:
A i,j,k ＝P(12-i-j)+Q(j-1)+S(i-k)+E(k-1)
and then constructing a mixture mass matrix based on value ranges of preset proportions respectively corresponding to the masses of various pigments, namely the value ranges of i, j and k are integers from 1 to 11, i + j is less than or equal to 12, i is more than or equal to k, and j + k is less than or equal to 12 as follows:
then entering the step B;
step B, the mass A of the obtained mixture is coupled according to various pigments i,j,k And obtaining the mixing ratio x, y, z and u corresponding to each pigment in the mixture as follows:
x＝P(12-i-j)/[P(12-i-j)+Q(j-1)+S(i-k)+E(k-1)]
y＝Q(j-1)/[P(12-i-j)+Q(j-1)+S(i-k)+E(k-1)]
z＝S(i-k)/[P(12-i-j)+Q(j-1)+S(i-k)+E(k-1)]
u＝E(k-1)/[P(12-i-j)+Q(j-1)+S(i-k)+E(k-1)]
then entering step C;
and C, combining the mixing ratios respectively corresponding to the various pigments in the mixture according to the RGB colors respectively corresponding to the various pigments to obtain the RGB color C corresponding to the mixture i,j,k The following were used:
and then constructing a mixed color chromatographic matrix based on the value ranges of the preset proportions respectively corresponding to the qualities of the pigments as follows:
then step D is entered.
5. The application of the multi-dimensional coupled color mixing model and gradient chromatography matrix algorithm in the construction of the multi-dimensional coupled color mixing model and gradient chromatography matrix algorithm according to claim 4, wherein: based on the four pigments, in the step D, according to the color mixing chromatogram matrix corresponding to the four pigments, a pigment gradient mode and a gradient matrix corresponding to the mixture are constructed as follows:
based on the fact that the value ranges of i, j and k are integers from 1 to 11, i + j is less than or equal to 12, i is more than or equal to k, and j + k is less than or equal to 12, the gradient path of the quaternary coupling color mixing matrix and the node composition are as follows:
C 1,1,1 、…、C 1,11,1 、…、C 11,1,1 、…、C 1,1,1 、…、C 11,1,11 、…、C 11,1,1 、…、C 1,11,1 、…、C 11,1,11 、…、C 2,1,2 、C 1,1,1
further based on the color of the gradient path, a gradient color spectrum matrix of the quaternary coupling color mixing matrix is constructed as follows:
wherein, 1 is less than or equal to xi 5 When the temperature is less than or equal to 11, then
When 11 is less than or equal to xi 5 When the temperature is less than or equal to 21, then
When 21 is less than or equal to ξ 5 When the ratio is less than or equal to 31, then
When 31 is less than or equal to xi 5 When the ratio is less than or equal to 41, then
When 41 is less than or equal to xi 5 When the temperature is less than or equal to 51, then
When 51 is less than or equal to xi 5 When the temperature is less than or equal to 61, then
When 61 is less than or equal to xi 5 When the temperature is less than or equal to 71, then
When 71 is less than or equal to xi 5 When the temperature is less than or equal to 81 deg.C, then
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| CN102289543B (en) * | 2011-07-13 | 2013-01-02 | 浙江纺织服装职业技术学院 | Method for separating colors of patterns of brocade based on genetic-fuzzy clustering algorithm |
| CN107103181A (en) * | 2017-03-27 | 2017-08-29 | 东华大学 | A kind of colour-spun yarns color matching method based on least square method supporting vector machine |
| CN109919899A (en) * | 2017-12-13 | 2019-06-21 | 香港纺织及成衣研发中心有限公司 | The method for evaluating quality of image based on multispectral imaging |
| CN110485018B (en) * | 2019-08-14 | 2020-06-26 | 愉悦家纺有限公司 | Method for spinning gradient yarns by four-primary-color fiber coupling blending based on discrete gradient chromatography |
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