CN115146490A - Full-color-domain color model for blending multidimensional gridding dye liquor and chromatographic construction thereof - Google Patents
Full-color-domain color model for blending multidimensional gridding dye liquor and chromatographic construction thereof Download PDFInfo
- Publication number
- CN115146490A CN115146490A CN202211075972.8A CN202211075972A CN115146490A CN 115146490 A CN115146490 A CN 115146490A CN 202211075972 A CN202211075972 A CN 202211075972A CN 115146490 A CN115146490 A CN 115146490A
- Authority
- CN
- China
- Prior art keywords
- color
- dye liquor
- color mixing
- primary
- model
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Granted
Links
- 238000002156 mixing Methods 0.000 title claims abstract description 503
- 238000010276 construction Methods 0.000 title claims abstract description 26
- 238000010168 coupling process Methods 0.000 claims abstract description 212
- 238000005859 coupling reaction Methods 0.000 claims abstract description 212
- 230000008878 coupling Effects 0.000 claims abstract description 168
- 238000004043 dyeing Methods 0.000 claims abstract description 12
- 239000011159 matrix material Substances 0.000 claims description 117
- 239000003086 colorant Substances 0.000 claims description 31
- 239000000203 mixture Substances 0.000 claims description 25
- 238000001228 spectrum Methods 0.000 claims description 24
- 230000009977 dual effect Effects 0.000 claims description 22
- XLYOFNOQVPJJNP-UHFFFAOYSA-N water Substances O XLYOFNOQVPJJNP-UHFFFAOYSA-N 0.000 claims description 16
- 230000014509 gene expression Effects 0.000 claims description 8
- 238000010295 mobile communication Methods 0.000 claims description 7
- 238000012545 processing Methods 0.000 claims description 6
- 230000009466 transformation Effects 0.000 claims description 5
- 238000006243 chemical reaction Methods 0.000 claims description 3
- 150000001875 compounds Chemical class 0.000 claims description 2
- 238000012163 sequencing technique Methods 0.000 claims description 2
- 239000004753 textile Substances 0.000 abstract description 3
- 239000000975 dye Substances 0.000 description 381
- 238000000034 method Methods 0.000 description 8
- 239000007788 liquid Substances 0.000 description 7
- 238000013461 design Methods 0.000 description 6
- 238000013178 mathematical model Methods 0.000 description 5
- 238000010586 diagram Methods 0.000 description 4
- 239000000463 material Substances 0.000 description 3
- 238000009987 spinning Methods 0.000 description 3
- 241000949477 Toona ciliata Species 0.000 description 2
- 238000004587 chromatography analysis Methods 0.000 description 2
- 230000003287 optical effect Effects 0.000 description 2
- 239000000049 pigment Substances 0.000 description 2
- 238000007639 printing Methods 0.000 description 2
- 108091034117 Oligonucleotide Proteins 0.000 description 1
- 239000000980 acid dye Substances 0.000 description 1
- 239000000986 disperse dye Substances 0.000 description 1
- 238000009973 dope dyeing Methods 0.000 description 1
- 230000000694 effects Effects 0.000 description 1
- 239000000976 ink Substances 0.000 description 1
- 239000000155 melt Substances 0.000 description 1
- 229920000642 polymer Polymers 0.000 description 1
- 239000000985 reactive dye Substances 0.000 description 1
- 238000011160 research Methods 0.000 description 1
Images
Classifications
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/20—Design optimisation, verification or simulation
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/10—Geometric CAD
Landscapes
- Engineering & Computer Science (AREA)
- Physics & Mathematics (AREA)
- Theoretical Computer Science (AREA)
- General Physics & Mathematics (AREA)
- Geometry (AREA)
- Evolutionary Computation (AREA)
- General Engineering & Computer Science (AREA)
- Computer Hardware Design (AREA)
- Computational Mathematics (AREA)
- Mathematical Analysis (AREA)
- Mathematical Optimization (AREA)
- Pure & Applied Mathematics (AREA)
- Spectrometry And Color Measurement (AREA)
Abstract
The invention relates to a multi-dimensional gridding dye liquor mixed panchromatic domain color model and a chromatogram construction thereof, which belong to the technical field of color regulation and control in the textile industry, firstly, based on gray dye liquor and each color dye liquor under the concentration of each level of dye liquor, and combining the discretization of the quality of each dye liquor, respectively constructing a multi-primary color dye liquor color mixing mode of hue gradient change, chroma gradient change and concentration gradient change, and respectively obtaining the quality, color mixing ratio and color value of a multi-primary color coupling color mixing sample under each mode; then respectively constructing a multi-primary dye liquor coupling color mixing sub-model under each mode; then respectively constructing a full-color phase color mixing model of the multi-primary color dye solution in each mode; finally, respectively constructing circular geometric models of the full color gamut color space under each mode; therefore, hue control, lightness control and chroma control can be realized in application, digital color matching of the dye liquor can be efficiently realized, and the dyeing color precision of the dye liquor is improved.
Description
Technical Field
The invention relates to a full-color-domain color model prepared by blending multidimensional gridding dye liquor and a color spectrum construction thereof, belonging to the technical field of color regulation and control in the textile industry.
Background
In optical physics, classical color models such as RGB, HSI, lab and the like serving basic theoretical research are constructed and are mainly used for expressing the color distribution rule in a color space. In the industry and the design world, a pagoda-shaped color model and a circular color matching model are constructed and used for explaining the change rule of color hue, lightness and chroma in the color matching process.
In the industries of textile, printing and dyeing, dope dyeing and spinning, etc., dyes of different colors, dye solutions, printing inks, polymer solutions (melts) and other color materials are usually uniformly mixed in different proportions to obtain new colors of products, so that product innovation is driven by color innovation. When the product is designed, if the color of the primary color materials and the mixing ratio of the primary color materials are selected, the color of the product can be obtained through the full-color-domain color model; if the product color is designed, it can be known by the full-gamut color model which base colors and the mixing ratio of the colors of each base color can be used to obtain the set color.
The color models such as RGB, HSI, lab and the like constructed based on the physical optical principle have larger difference with the actual color matching process, and cannot be directly used for analyzing and describing the color mixing and the color change in the color matching process.
The pagoda-shaped color model and the circular color matching model constructed based on the three primary colors principle lack a digital color expression means, are too simple and are not suitable for the current digital color matching requirement.
Disclosure of Invention
The invention aims to solve the technical problem of providing a full-color-domain color model prepared by blending multi-dimensional gridding dye liquor and constructing a color spectrum of the full-color-domain color model.
The invention adopts the following technical scheme for solving the technical problems: the invention designs a full-color-domain color model for multi-dimensional gridding dye liquor mixing and a chromatogram construction thereof, which comprises the following steps:
step A, based on preset division of dye liquor concentration from low to high
The concentration of dye liquor of each grade is preset
The quality of the color dye respectively corresponding to the concentration of each grade of dye liquor is
The quality of each color dye solution and the concentration of each level of dye solution corresponding to the gray dye are configured as
The gray dye solutions are sorted according to the size of the hue angle respectively according to the dye solution concentration of each grade and the color dye solutions under the dye solution concentration of each grade; wherein,
，
，
denotes the first
Color dye corresponds to the first
The quality of the color dye liquor of the grade dye liquor concentration;
indicates that the grey dye corresponds to
Quality of the colour dye liquor of the grade dye liquor concentration, and
and
and C, equaling, and then entering the step B;
step B, respectively measuring the quality of each color dye liquor
According to preset discrete quantity
Discretization is performed as follows (1):
wherein,
(ii) a And the quality of the grey dye liquor
According to preset discrete quantity
Discretization is performed as follows (2):
wherein,
(ii) a Obtaining multi-primary color dye liquor, and then entering the step C;
c, constructing a multi-primary dye liquor color mixing mode with hue gradient change based on the multi-primary dye liquor to obtain the quality, color mixing ratio and color value of the multi-primary binary coupling color mixing sample;
constructing a multi-primary dye liquor color mixing mode with gradient changes of hue and chroma based on the multi-primary dye liquor, and obtaining the quality, the color mixing ratio and the color value of the multi-primary ternary dual coupling color mixing sample;
constructing a multi-primary dye liquor color mixing mode with changing hue, chroma and concentration gradient based on the multi-primary dye liquor, obtaining the quality, color mixing ratio and color value of the multi-primary ternary dual coupling color mixing sample with different levels of dye liquor concentration, and then entering the step D;
d, constructing a multi-primary dye liquor binary coupling color mixing sub-model based on the quality, the color mixing ratio and the color value of the multi-primary binary coupling color mixing sample;
constructing a multi-primary-color dye-liquor ternary double coupling color mixing sub-model based on the quality, the color mixing ratio and the color value of the multi-primary-color ternary double coupling color mixing sample;
constructing a multi-primary color dye liquor ternary double coupling color mixing sub-model based on different levels of dye liquor concentrations based on the quality, color mixing ratio and color value of the multi-primary color ternary double coupling color mixing sample with different levels of dye liquor concentrations; then entering step E;
e, constructing a one-dimensional full-color phase color mixing model of the multi-primary-color dye liquor according to the multi-primary-color dye liquor binary coupling color mixing sub-model;
constructing a two-dimensional full-color-domain color mixing model of the multi-primary-color dye solution according to the multi-primary-color dye solution ternary double-coupling color mixing sub-model;
constructing a three-dimensional full-color-domain color mixing model based on the multi-primary-color dye liquor with different levels of dye liquor concentrations according to the multi-primary-color dye liquor ternary dual coupling color mixing sub-model based on different levels of dye liquor concentrations, and then entering the step F;
f, constructing a circular geometric model of a one-dimensional panchromatic domain color space according to a one-dimensional panchromatic phase color mixing model of the multi-primary color dye solution;
constructing a circular geometric model of a two-dimensional panchromatic domain color space according to a two-dimensional panchromatic domain color mixing model of the multi-primary color dye solution;
and constructing a cylindrical geometric model of a three-dimensional panchromatic domain color space according to a three-dimensional panchromatic domain color mixing model based on the multi-primary-color dye liquor with different levels of dye liquor concentration.
Compared with the prior art, the full-color-domain color model prepared by blending the multidimensional gridding dye liquor and the chromatographic construction thereof have the following technical effects:
firstly, based on gray dye liquor and each color dye liquor under the concentration of each level of dye liquor, respectively constructing a multi-primary color dye liquor color mixing mode with hue gradient change, chroma gradient change and concentration gradient change by combining discretization of the quality of each dye liquor, and respectively obtaining the quality, color mixing ratio and color value of a multi-primary color coupling color mixing sample under each mode; then, respectively constructing a multi-primary color dye liquor coupling color mixing sub-model under each mode; then respectively constructing a full-color phase color mixing model of the multi-primary color dye solution in each mode; finally, respectively constructing circular geometric models of the full color gamut color space under each mode; therefore, hue regulation and control, lightness regulation and control and chroma regulation and control can be realized in application, digital color matching of the dye liquor can be efficiently realized, and the precision and the automation level of color matching of the dye liquor are improved.
Drawings
FIG. 1 is a flow chart of a full color domain color model for multi-dimensional gridding dye liquor blending and a chromatogram construction thereof;
FIG. 2 is a schematic diagram of a full color phase mixture model of a six-primary-color dye solution according to an embodiment of the present invention;
FIG. 3 is a schematic diagram of a full color gamut color mixing model of a dye solution with three colors, one gray, and four primary colors according to a second embodiment of the present disclosure;
FIG. 4 is a schematic diagram of a six-color one-gray seven-primary color dye-liquor full-color-domain color mixing model according to a third embodiment of the present invention;
fig. 5 is a schematic diagram of a full-color-domain color mixing model of a dye solution with six colors, one gray, and seven primary colors in five concentration planes according to a fourth embodiment of the design of 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 full-color-domain color model mixed with multi-dimensional gridding dye liquor and a chromatogram construction thereof, and the design concept is as follows:
1. the invention discloses a construction method of a one-dimensional panchromatic gamut color space model and a one-dimensional panchromatic gamut color spectrum with hue gradient change thereof;
2. the invention discloses a method for constructing a two-dimensional panchromatic gamut color space model and a two-dimensional gridding panchromatic gamut color spectrum with gradient change of hue and chroma thereof, which are disclosed by the invention;
3. constructing a ternary dual coupling color mixing mode between different color pigments and different gray pigments, and deducing a weight matrix, a mixing ratio matrix and a color matrix of all mixed samples of the three-dimensional color space model;
4. based on the grid point coordinates and the color conversion matrix of the constructed one-dimensional, two-dimensional and three-dimensional full color gamut color space model, the construction method of the one-dimensional, two-dimensional and three-dimensional full color gamut color space geometric model is invented.
Based on the above design concept, in practical application, as shown in fig. 1, the following steps a to F are specifically performed.
Step A, based on preset division of dye liquor concentration from low to high
The concentration of dye liquor of each grade is preset
The quality of the color dye respectively corresponding to the concentration of each grade of dye liquor is
The quality of the gray dye corresponding to the concentration of each grade dye liquor is
The gray dye solutions are sorted according to the size of the hue angle respectively according to the dye solution concentration of each grade and the color dye solutions under the dye solution concentration of each grade; wherein,
，
，
is shown as
The color dye corresponds to
The quality of the color dye liquor of the grade dye liquor concentration;
indicates that the grey dye corresponds to
Quality of the colour dye liquor of the grade dye liquor concentration, and
and
equality, then proceed to step B
Based on the characteristic that the lower the concentration of the dye liquor is, the higher the color brightness value of the dye liquor is, in the multi-primary color dye liquor mixed-color system, the molar concentrations of the dye liquor in which the gray dye liquor and the color dye liquor are distributed in a gradient manner
Corresponding to the lightness value of the dye liquor, when the concentration of the dye liquor is from low concentration to high concentration
At each level, the lightness of the dye liquor is divided into high lightness and low lightness
And (4) grading.
Step B, respectively aligning each quality of colour dyeing liquor
According to preset discrete quantity
Discretization is carried out as follows (1):
wherein,
(ii) a And the quality of the grey dye liquor
According to preset discrete quantity
Discretization is performed as follows (2):
wherein,
(ii) a Namely obtaining the multi-primary color dye liquor, and then entering the step C.
And C, aiming at the multi-primary dye liquor mixed color system, carrying out binary combination pairing on the multi-primary dye liquor with the same concentration to obtain
The two primary colors are mixed with the dye solution, and then the two primary colors are coupled and mixed with each other based on the discretization weight, so that the dye solution can be obtained
A multi-primary dye liquor color mixing mode with hue gradient change is constructed by the mixed sample;
based on the multi-primary dye solution, a multi-primary dye solution color mixing mode with hue gradient change is constructed, and the quality, the color mixing ratio and the color value of the multi-primary binary coupling color mixing sample are obtained according to the following processing.
Aiming at the concentration of the dye liquor in each grade, two kinds of color dye liquor are sequentially selected from the sequencing of the multi-base color dye liquor represented by the formula (1) for combined color mixing as follows:
wherein,
is shown as
Concentration of the dye liquor of grade
The discrete mass of the seed color dye,
is shown as
Under the concentration of the graded dye liquor
Discrete masses of the colored dyes.
Performing binary coupling color mixing according to the formula (3) to obtain
A mixed color sample corresponding to the binary coupled mixed color, each mixed color sample
The following were used:
according to formula (4), and
color mixing ratio of color mixing sample corresponding to binary coupling color mixing under level dye liquor concentration
Obtaining
The color mixing ratio of each color dye solution in each color mixing sample is as follows:
and according to
The update formula (5) is as follows:
according to the colour value of binary colour dyeing liquor
、
Obtained with respect to formula (4)
The color values of the mixed color samples are respectively as follows:
Aiming at the multi-primary dye liquor mixed color system, the multi-primary dye liquor with the same dye liquor concentration is subjected to ternary combination pairing to obtain
And (3) grouping the three-primary-color mixed dye solution, and performing ternary dual coupling color mixing based on the discretization weight, thereby constructing a multi-primary-color dye solution color mixing mode with gradient change of color phase and chroma.
Based on the multi-primary dye liquor, a multi-primary dye liquor color mixing mode with gradient changes of hue and chroma is established, and the quality, the color mixing ratio and the color value of the multi-primary ternary dual coupling color mixing sample are obtained according to the following processing.
Respectively aiming at the concentration of each level of dye liquor, sequentially selecting two color dye liquors from the sequence of the multi-base color dye liquor represented by the formula (1), and combining and selecting the gray dye liquors with the same concentration of the dye liquor from the gray dye liquors represented by the formula (2) to perform combined color mixing as follows:
wherein,
denotes the first
Under the concentration of the graded dye liquor
The discrete mass of the seed color dye,
is shown as
Concentration of the dye liquor of grade
The discrete mass of the seed color dye,
is shown as
Discrete mass of grey dye at the level dye liquor concentration;
performing ternary double coupling color mixing according to the formula (8) to obtain
The quality of each mixed color sample is determined by the quality of the mixed color sample corresponding to the ternary dual coupling mixed color
The following were used:
according to formula (9), and
color mixing ratio of color mixing sample corresponding to ternary double coupling color mixing under level dye liquor concentration
Obtaining
The color mixing ratio of each dye solution in each color mixing sample is as follows:
according to the colour values of two colour dyeing liquors
、
And color value of the grey dye liquor
Obtained with respect to formula (9)
The color values of the mixed color samples are respectively as follows:
And (4) constructing a multi-primary dye liquor color mixing mode with changing hue, chroma and concentration gradient based on the multi-primary dye liquor, processing as follows to obtain the quality, color mixing ratio and color value of the multi-primary ternary dual coupling color mixing sample with different levels of dye liquor concentration, and then entering the step D.
Aiming at the multi-primary color dye liquor color mixing system based on
The multi-primary color dye liquids corresponding to different concentration surfaces are subjected to ternary combination pairing, and each concentration surface can be obtained
And (3) grouping three-primary color mixed dye liquor, and carrying out ternary double coupling color mixing based on the discretization weight, thereby constructing a multi-primary color dye liquor color mixing mode with gradient changes of lightness, hue and chroma.
Based on the color dye solutions under the dye solution concentrations of all levels, two color dye solutions are selected from the dye solution concentrations of different levels, and the gray dye solutions are selected from the gray dye solutions represented by the formula (2) to carry out combined color mixing as follows:
wherein,
、
、
，
denotes the first
Discrete mass of grey dye at the level dye liquor concentration,
denotes the first
Under the concentration of the graded dye liquor
The discrete mass of the seed color dye,
is shown as
Concentration of the dye liquor of grade
A discrete mass of seed color dye;
performing ternary double coupling color mixing according to formula (12) to obtain
The quality of each mixed color sample is determined by the quality of the mixed color sample corresponding to the ternary dual coupling mixed color
The following were used:
according to the colour values of two colour dyeing liquors
、
And color value of the grey dye liquor
Obtained with respect to formula (13)
The color values of the mixed color samples are respectively as follows:
A gridding color mixing system of multi-primary color dye solution is prepared by
The dye liquor molar concentration of each color dye liquor and one gray dye liquor is divided into
At each level, assumed on each level
Each colour dye liquor has an equal lightness value to 1 grey dye liquor.
If based on the equal concentration surface, will
The color dye solutions are combined pairwise and then subjected to binary coupling color mixing according to the discretization weight, so that the color dye solutions with multiple primary colors on a certain equal concentration surface can be obtained
One-dimensional color mixing model of grid points and
full color chromatography of individual phase gradients;
if based on isoconcentration planes, from
Two groups of color dye solutions and a gray dye solution are sequentially selected from the color dye solutions to be combined and then subjected to ternary and dual coupling color mixing according to the discretized weight, so that the multi-primary color dye solution on a certain equal-concentration surface can be obtained
Two-dimensional color mixture model of individual grid points and
gradient panchromatic chromatogram;
from each isoconcentration plane if based on each isoconcentration plane
Two groups of color dye solutions and a gray dye solution are sequentially selected from the color dye solutions to be combined, and then ternary double-coupling color mixing is carried out according to the discretized weight, so that the multi-primary color dye solution on each equal-concentration surface can be obtained
Three-dimensional color mixing model of individual grid points and
panchromatic chromatography of individual gradients.
And D, constructing a multi-primary dye liquor binary coupling color mixing sub-model based on the quality, the color mixing ratio and the color value of the multi-primary binary coupling color mixing sample as follows:
(1) the quality matrix of the multi-primary color dye liquor binary coupling color mixing sub-model is as follows:
(2) the color mixing ratio matrix of the multi-primary color dye liquor binary coupling color mixing submodel is as follows:
(3) the color matrix of the multi-primary color dye liquor binary coupling color mixing submodel is as follows:
Based on the quality, the color mixing ratio and the color value of the multi-primary-color ternary double-coupling color mixing sample, the establishment of the multi-primary-color dye solution ternary double-coupling color mixing sub-model comprises the following steps:
(1) the quality matrix of the multi-primary-color dye liquor ternary double-coupling color mixing sub-model is as follows:
(2) the color mixing ratio matrix of the multi-primary color dye liquor ternary double coupling color mixing submodel is as follows:
(3) the color matrix of the multi-primary color dye liquor ternary double coupling color mixing submodel is as follows:
Based on the quality, the color mixing ratio and the color value of the multi-primary-color ternary double-coupling color mixing sample with different levels of dye liquor concentrations, the multi-primary-color ternary double-coupling color mixing sub-model based on different levels of dye liquor concentrations is constructed as follows:
as can be seen from the formulas (12) and (13), the dye solutions having different concentrations have different concentrations for each concentration level
Group-element dual-coupling color mixing submodel, each submodel including
A grid point corresponds to
On each concentration plane, can be constructed to include
A two-dimensional submodel, then
Layer one
Sub-models of groups include
A plurality of grid points.
(1) The quality matrix of the multi-primary color dye liquor ternary double-coupling color mixing sub-model based on different levels of dye liquor concentrations is as follows:
(2) the color mixing ratio matrix of the multi-primary color dye liquor ternary double-coupling color mixing submodel based on different levels of dye liquor concentration is as follows:
(3) the color matrix of the multi-primary color dye liquor ternary double coupling color mixing sub-model based on different levels of dye liquor concentrations is as follows:
Then step E is entered.
And E, in a multi-primary color dye solution system with the same level of molar concentration, selecting different color dye solutions to carry out binary coupling color mixing, if the hue gradient obtained by all the binary coupling color mixing is changed into one-dimensional color spectrums which are sequentially arranged, equivalently, connecting the color matrixes of all the mixed samples end to carry out merging and expansion, and obtaining the color spectrum with the hue gradient change in the full color domain range. On the basis, a weight matrix, a mixing ratio matrix and a color matrix of all mixed samples are deduced, and a one-dimensional full color gamut color space model and a one-dimensional full color gamut color spectrum with hue gradient change are constructed.
At the same molarity level, selecting molarity of the same level
The color matching system is composed of multiple base color dye solutions, two dye solutions are sequentially selected from the color matching system to carry out binary coupling color mixing to obtain the product
The group binary coupling color mixing submodel can be obtained by discretizing the weight of the binary dye solution and carrying out binary coupling color mixing
A color mixing grid point and a color mixing sample value
Individual grid point and dither color value, a constructable representation
The multi-primary color dye liquor binary coupling color mixing mode and the mathematical model of the color spectrum thereof can be constructed and expressed at the same time
The multi-primary color dye solution binary coupling mixed color sample grid point coordinates and the geometric model of the color spectrum thereof are provided.
According to the multi-primary color dye liquor binary coupling color mixing sub-model, a one-dimensional full-color phase color mixing model of the multi-primary color dye liquor is constructed as follows.
Order to
Is provided with
All the expressions (16), (17) and (18) correspond to
The quality, color mixing ratio, and color of the binary coupled color mixture sample are measured by 1 line
The matrix of columns is represented as follows:
the compounds of the formulae (16), (17) and (18)
And expanding to obtain a quality matrix of the one-dimensional full-hue gridding color mixing model as follows:
the color mixing ratio matrix of the one-dimensional full-hue gridding color mixing model is obtained as follows:
the color matrix of the one-dimensional full-hue gridding color mixing model is obtained as follows:
namely, a one-dimensional full-color phase color mixing model of the multi-primary color dye solution constructed based on the multi-primary color dye solution binary coupling color mixing is obtained.
Based on the formulas (19), (20) and (21), the dyeing of multiple primary colors is carried out
One-dimensional full color gamut color space constructed by group binary coupling color mixing
The quality matrix, the color mixing ratio matrix and the color matrix of all mixed color samples are given by the grid points, namely the equations (22), (23) and (24), so that a mathematical model of a one-dimensional full-hue color space constructed based on the multi-primary dye liquor binary coupling color mixing is obtained.
According to the multi-primary-color dye liquor ternary double-coupling color mixing sub-model, a two-dimensional full-color-domain color mixing model of the multi-primary-color dye liquor is constructed as follows.
Two color dye liquids and one gray dye liquid are selected from a multi-primary dye liquid system with the same level of molar concentration to carry out ternary double coupling color mixing, if two-dimensional gridding chromatograms with hues and chroma gradient changes, which are obtained by all the ternary double coupling color mixing, are sequentially arranged, namely the color matrixes of all mixed samples are connected end to be merged and expanded, and the chromatograms with hues and chroma gradient changes are obtained in a full color domain range. On the basis, a weight matrix, a mixing ratio matrix and a color matrix of all mixed samples are deduced, and a two-dimensional plane full color gamut color space model and a two-dimensional full color gamut color spectrum with gradient changes of hue and chroma are constructed;
selecting the same order of molarity
A color matching system is composed of multi-base color dye liquor and a gray dye liquor, and two dye liquors and the gray dye liquor are sequentially selected from the color dye liquor to carry out ternary double coupling color mixing
The group-element double-coupling color mixing sub-model is obtained by discretizing the weight of the ternary dye solution and performing the ternary double-coupling color mixing
A color mixing grid point and a color mixing sample value
Individual grid point and dither color value, a constructable representation
The method is characterized in that a multi-primary-color dye liquor ternary double-coupling color mixing mode and a mathematical model of the color spectrum thereof are adopted, and meanwhile, expression can be constructed
Multi-primary-color dye liquor ternary dual-coupling color mixing sample netGrid point coordinates and geometric models of their chromatograms.
Based on the formulas (13), (14) and (15), it can be seen that the dye solutions of multiple primary colors are respectively used for the dye solution concentrations of each grade
The group-element dual-coupling color mixing submodel comprises
A grid point of passing
Line for mobile communication terminal
A matrix representation of the columns, and
the group-ternary dual-coupling color mixing gridding submodel is spliced and combined in sequence from end to end corresponding to each line to obtain the grey dye solution
And color dye liquor
Forming a multi-primary color panchromatic domain gridding color mixing model;
order to
Then:
when in use
When the temperature of the water is higher than the set temperature,
,
and is and
；
when in use
When the temperature of the water is higher than the set temperature,
,
and is made of
；
When the temperature is higher than the set temperature
When the temperature of the water is higher than the set temperature,
,
and is and
；
when in use
When the temperature of the water is higher than the set temperature,
,
and is and
；
integrating all the mixed color samples into a matrix
And, and:
based on the above
Obtained by double coupling and color mixing of group-three dye solutions
Color mixture sample, and construction
Line for mobile communication terminal
A gridding matrix of columns, thereby constructing a full color gamut gridding color mixing model, and developing the formula (27) to obtain the full color gamut gridding color mixing model
Line for mobile communication terminal
The column quality matrix is as follows, namely the quality matrix of the two-dimensional panchromatic range color mixing model of the multi-primary color dye solution;
and (3) obtaining a color mixing ratio matrix of a two-dimensional full-color-domain color mixing model of the multi-primary-color dye solution corresponding to the formula (28):
or:
(34)；
corresponding to equation (29), a color matrix of a two-dimensional full-color-domain color mixture model of the multi-primary-color dye solution is obtained:
or:
(36)；
namely, a two-dimensional full-color-domain color mixing model of the multi-primary dye solution constructed based on the multi-primary dye solution ternary dual coupling color mixing sub-model is obtained.
As can be seen from the formula (30), the panchromatic gamut gridding color mixing model constructed by the multi-primary colors has the same structure
And (4) obtaining the mixing proportion of the dye liquor of the mixed sample corresponding to the grid points through the coordinates of the grid points (mixed sample). Thus, expression of hue, lightness, and chroma of all mixed samples (grid points) in the full color gamut is realized by equation (16).
According to the multi-primary color dye liquor ternary double coupling color mixing sub-model based on different levels of dye liquor concentrations, a three-dimensional full-color-domain color mixing model based on the multi-primary color dye liquor with different levels of dye liquor concentrations is constructed as follows.
In the multi-primary color dye liquor color mixing system, aiming at multi-primary color dye liquor under different dye liquor concentrations, the gradient change of the dye liquor concentration is used as a newly added dimension to expand the multi-primary color dye liquor into a three-dimensional full-color-domain color model on the basis of a two-dimensional plane full-color-domain color model under the same dye liquor concentration level, namely two groups of color dye liquor and one group of gray dye liquor are selected to carry out ternary coupling color mixing under each dye liquor concentration level, three-dimensional gridding chromatograms with gradient change obtained by all ternary coupling color mixing are sequentially arranged, namely the color matrixes of all mixed samples are connected end to be merged and expanded, and the three-dimensional chromatograms with gradient changes of hue, chroma and lightness are obtained in a full-color-domain range. On the basis, a weight matrix, a mixing ratio matrix and a color matrix of all mixed samples are deduced, and a three-dimensional panchromatic color model and a three-dimensional panchromatic color spectrum with gradient changes of hue, chroma and lightness are constructed.
The dye liquor concentration of the multi-primary color dye liquor is set as
On the surface of each concentration level
The color matching system corresponding to the concentration is composed of two kinds of color dye liquor and one kind of grey dye liquor, and three-element double coupling color mixing is performed on the concentration plane of each grade by sequentially selecting two kinds of color dye liquor and one kind of grey dye liquor
The group-element dual-coupling color mixing submodel is the first one
Layer one
The combination of the three-element double-coupling color mixing submodels can obtain a two-dimensional full color gamut color mixing model on the concentration surface and comprises
A grid of points. On all concentration planes
The two-dimensional panchromatic domain color mixing model is combined to obtain a color mixture model containing
A three-dimensional full color domain color model constructed by the grid points is obtained
And (3) further constructing a mathematical model and a cylindrical geometric model of the gridding color mixing of the multi-primary dye liquor containing all the dye liquor concentrations on the basis of the color values of the grid points, and giving a three-dimensional full color gamut chromatogram with gradient changes of hue, chroma and lightness.
The first of the multi-primary dyeing solutions at different levels of dye solution concentration based on formula (40)
Layer one
Group-ternary double-coupling color mixing is constructed
Sub-models, each sub-model comprising
Individual grid points, should work
Layer one
Of group (a)
Line for mobile communication terminal
Matrix representation of the columns, will all
Of a layer
The group-ternary dual-coupling color-mixing gridding submodel is spliced and combined in sequence from head to tail corresponding to each line to obtain gray dye solution
And color dye liquor
Forming a multi-primary color panchromatic domain gridding color mixing model;
order to
And then:
when in use
When the temperature of the water is higher than the set temperature,
,
and is and
；
when in use
When the temperature of the water is higher than the set temperature,
,
and is made of
；
When in use
When the temperature of the water is higher than the set temperature,
,
and is made of
；
When in use
When the temperature of the water is higher than the set temperature,
,
and is and
；
integrating all the mixed color samples into a matrix
The following were used:
based on formula (44), under different levels of dye liquor concentration
Layer(s)
Obtained by double coupling and color mixing of group-three dye solutions
Color mixing sample construction
An
Line of
A gridding matrix of columns, thereby constructing a full color gamut gridding color mixing model, and expanding the formula (44) to obtain the full color gamut gridding color mixing model
An
Line of
Column quality matrix:
corresponding to the formula (44), under different levels of dye liquor concentration, obtaining a color mixing ratio matrix of the three-dimensional full-color-gamut gridding color mixing model as follows:
or:
corresponding to the formula (46), under different levels of dye liquor concentration, the color matrix of the two-dimensional full color gamut gridding color mixing model is obtained as follows:
or:
(49)；
namely, a three-dimensional full-color-domain color mixing model based on the multi-primary-color dye liquor with different levels of dye liquor concentration is constructed, and then the step F is carried out.
As can be seen from the formula (43), the full-color-domain gridding color mixture model constructed from multiple primary colors has a common structure
And (4) obtaining the mixing proportion of the dye liquor of the mixed sample corresponding to the grid points through the coordinates of the grid points (mixed sample). In this way, expression of hue, brightness, and chroma of all mixed samples (grid points) in the full color gamut is realized by the formula (49).
And F, constructing a circular geometric model of a one-dimensional panchromatic domain color space according to the one-dimensional panchromatic phase color mixing model of the multi-primary color dye solution by the following operation.
Respectively aiming at the dye liquor concentration of each grade according to
Respective mixed color samples of respective grid points
The hue angle is arranged in sequence and evenly distributed on the circumference with the radius of 1, and each color value is set
Polar angle of grid point of
Polar radius of
Then each color value
The polar coordinates of the grid points of (a) are:
according to
Then, the color values of the grid points are obtained by equations (5) and (6)
The following were used:
namely, based on the formulae (25) (26), obtained
The annular geometric model of one-dimensional full color gamut color space constructed by combining multi-primary color dye liquor binary coupling color mixing is uniformly divided into hue circles
The polar coordinates of each grid point and its color value can be obtained by equations (25) and (26).
According to a two-dimensional panchromatic color mixing model of the multi-primary color dye solution, a circular geometric model of a two-dimensional panchromatic color space is constructed according to the following operation.
According to the formulas (32), (34) and (36), the two-dimensional full-color-domain color mixing model based on the multi-primary-color dye liquor is a model
Line of
A rectangular color model of the column expressed by equation (36) by coordinate conversion of the grid points
Line of
The rectangular color model of the column is converted into a circular color model as follows:
assuming that the radius of the circular color model is 1, based on the characteristics of the rectangular color model expressed by the formula (36), the circular color model is made along the circumference with the radius of 1
Is divided equally to obtain
A grid point is drawn
Connecting lines of the grid points and the circle center; then the radius of the circle is processed
Is divided equally to obtain
A grid point on the circle radius centered at the center of the circle
Making concentric circles at each grid point, thereby obtaining
The polar coordinates of each grid point in the circular gridding color model are as follows:
the color value of each grid point in the circular gridding color model is as follows:
the color mixing ratio of each grid point in the circular gridding color model is as follows:
according to a three-dimensional panchromatic range color mixing model based on multi-primary-color dye liquor with different levels of dye liquor concentration, a cylindrical geometric model of a three-dimensional panchromatic range color space is constructed as follows.
According to the formulas (45), (47) and (49), the three-dimensional full-color-domain color mixing model based on the multi-primary-color dye liquor with different levels of dye liquor concentration is a model
Layer(s)
Line of
A quadrangular prism color model of the columns expressed by the formula (49) by coordinate transformation of the grid points
Layer(s)
Line of
The column rectangular color model is converted to a cylindrical color model as follows:
setting the cylinder height of the cylindrical color model as 1 and the radius of the circle as 1, and based on the characteristics of the quadrangular color model expressed by the formula (49), making the cylinder height of 1 as
Equally dividing the circumference with the radius of 1 into
Is divided equally to obtain
A grid point of
A tangent plane of each grid point and the center of the cylinder; then the radius of the cylinder is adjusted
Is divided equally to obtain
A grid point on the radius of the circle with the center of the cylinder as the center
Making concentric cylinders at each grid point, thereby obtaining
The polar coordinates of each grid point in the cylindrical gridding color model are as follows:
the color values of each grid point in the cylindrical gridding color model are as follows:
the color mixing ratio of each grid point in the cylindrical gridding color model is as follows:
the full-color domain color model and the color spectrum construction thereof which are designed by multi-dimensional gridding dye liquor mixing are applied to the practice, and the following embodiments are analyzed, wherein in the first embodiment, the one-dimensional full-color phase color mixing model and the full-color phase spectrum thereof which are constructed by the color six-primary-color dye liquor are specifically as follows:
1. a binary coupling color mixing mode of the color six-primary-color dye solution;
the weight of a proper dye (one of reactive dye, acid dye, disperse dye and other dyes) is respectively prepared according to specific molar concentration
And taking the dye liquor
. Color values of the color dye liquor are obtained by a color measuring instrument and are sequentially arranged according to the magnitude of hue angles:
,
,
,
,
,
and the color difference is
。
The quality of the six-primary-color dye solution binary coupling color mixture sample obtained based on the formula (4) is as follows:
the color mixing ratio of the six-primary-color dye solution binary coupling color mixing sample can be obtained based on the formula (6) as follows:
for the purpose of
: 
(
) (54)
For the purpose of
: 
(
) (55)
For the purpose of
: 
(
) (56)
For the purpose of
: 
(
) (57)
To is directed at
: 
(
) (58)
For the purpose of
: 
(
) (59)
2. Constructing a color six-primary-color dye liquor binary coupling color mixing sub-model;
as shown in the formula (4), 6 groups of binary coupled color mixing submodels can be constructed by the color six-primary-color dye solution, each group of submodels comprises 9 grid points, and the grid points can be arranged into a matrix with 1 row and 9 columns.
(1) A color six-primary-color dye liquor binary coupling color mixing sub-model weight matrix;
(
)
(2) A color mixing ratio matrix of the color six-primary-color dye liquor binary coupling color mixing sub-model;
(
)
(3) A color matrix of a color six-primary-color dye liquor binary coupling color mixing sub-model;
(
)
3. a one-dimensional full-color phase color mixing model and a full-color phase color spectrum of the color six-primary-color dye solution;
under the same molar concentration level, based on the formula (4), 6 groups of binary coupled color mixing sub-models can be constructed by 6 primary color dye solutions, each group of binary coupled color mixing sub-models has 9 color mixing samples, and the 6 groups of binary coupled color mixing sub-models have 54 color mixing sub-samples.
Order to
;
;
. Is provided with
. All of the equations (53), (54) and (55) correspond to
The weight of each binary coupled color mixture, the color mixture ratio and the color thereof can be represented by a matrix of 1 row and 48 columns (removing the color mixture).
(
)
If in the formulas (53), (54) and (55)
And expanding to obtain a weight matrix, a color mixing ratio matrix and a color matrix of the full color gamut subsample:
(
)
(
)
(
)
based on the expressions (56), (57) and (58), it can be known that a one-dimensional full color gamut color space constructed by 6 groups of binary coupling color mixing of the color six-primary dye liquor comprises 48 grid points, and the expressions (56), (57) and (58) give a quality matrix, a color mixing ratio matrix and a color matrix of all color mixing samples, so that a mathematical model of the one-dimensional full color gamut color space constructed by the multi-primary dye liquor binary coupling color mixing is obtained.
4. Constructing a circular geometric model of a color space of a full color domain of a color six-primary-color dye solution;
at the same molar concentration level, six primary colors are dyed in order to construct colorThe coordinates of the grid points of the liquid binary coupled color mixing sample and the geometric model of the chromatogram thereof are determined according to 48 grid points
(
;
) Are arranged in sequence according to the size of the hue angle and are uniformly distributed on a circle with the radius of 2, as shown in figure 2.
Setting color values of each grid point
Polar angle of
Polar radius of
Then each grid point
The polar coordinates are:
order to
Then, each grid point can be obtained from the formula (26)
Color value of (a):
based on the formula (69 (70)
A geometric model of a one-dimensional full color gamut color space constructed by grouping multi-primary color dye liquor binary coupling color mixing is uniformly divided into hue circles
The polar coordinates of each grid point and its color value can be obtained by the equations (69) (70).
In the second embodiment, a full-color-domain color mixing model and a full-color-domain color spectrum thereof constructed by using the dye solutions with three colors, one gray and four primary colors are specifically as follows:
1. a ternary double coupling color mixing mode of a three-color one-gray four-primary-color dye solution;
setting the grey dye liquor in the three-color one-grey four-primary-color dye liquor as
The color dye solution is
，
Based on the formula (9), the quality of the three-group ternary dye solution double-coupling color mixing sample of the four-primary-color dye solution is as follows:
the color mixture of the three-color-one-gray-four-primary-color dye liquor ternary double-coupling color mixture sample can be obtained based on the formula (71) as follows:
for the purpose of
: 
(72)
To is directed at
: 
(73)
To is directed at
: 
(74)
2. Constructing a three-color one-gray four-primary-color dye liquor ternary double-coupling color mixing sub-model;
as can be seen from equations (8) and (9), each submodel includes 54 grid points, which can be arranged in a matrix of 6 rows and 9 columns, based on 3 sets of ternary dual-coupled color mixing submodels.
(1) A weight matrix of a three-color one-gray four-primary-color dye liquor ternary double coupling color mixing sub-model;
when in use
Obtained by formula (9)First, the
All of the module models
Quality matrix of mixed color samples
：
(2) A color mixing ratio matrix of a three-color one-gray four-primary-color dye liquor ternary double coupling color mixing sub-model;
when in use
Obtained from the formula (9)
All of the module models
Color mixing ratio matrix of color mixing samples
：
(3) A color matrix of a three-color one-gray four-primary-color dye liquor ternary double coupling color mixing sub-model;
when in use
Obtained from the formula (9)
All of the module models
Color matrix of mixed color samples
：
3. A full-color-domain color mixing model and a full-color-domain color spectrum of the dye liquor with three colors, one gray and four primary colors;
(1) A grid point quality matrix of a full-color domain color mixing model of a three-color one-gray four-primary-color dye solution;
it is known that:
let us order
Setting:
the grid point quality matrix of the full-color-domain color mixing model of the dye liquor with three colors, one gray and four primary colors can be obtained based on the formula (75) as follows:
(2) A grid point color mixing ratio matrix of a full-color domain color mixing model of a three-color one-gray four-primary-color dye liquor;
based on the formula (76), a grid point color mixing ratio matrix of a three-color-one-gray-four-primary-color dye liquor full-color-domain color mixing model can be obtained as follows:
(3) A grid point color matrix of a full-color domain color mixing model of the dye liquor with three colors, one gray and four primary colors;
the grid point color matrix of the full-color domain color mixing model of the dye liquor with the three-color-gray four-component primary colors can be obtained based on the formula (77) as follows:
4. constructing a full-color-gamut geometric model of the dye liquor with three colors, one gray and four primary colors;
(1) Coordinates of grid points of the circular color model;
from the equations (79), (80) and (81), the full-color gamut color mixing model of the three-color-gray-four-primary-color dye solution is a rectangular color model with 6 rows and 24 columns, and is visually different from the color matching circular ring model. The rectangular color model of 6 rows and 24 columns expressed by equation (81) can be converted into a circular ring-shaped color model by coordinate transformation of the grid points. The method comprises the following specific steps:
setting the radius of the circular color model to be 1, based on the characteristics of the rectangular color model expressed by the formula (81), dividing 24 equally along the circumference with the radius of 1 to obtain 24 grid points, and drawing a connecting line between the 24 grid points and the circle center; then 5 equal divisions are carried out on the circle radius to obtain 6 grid points, and the 6 grid points pass through the circle radius by taking the circle center as the center6 grid points are made into concentric circles, thereby obtaining
Grid points, as shown in fig. 3:
the polar coordinates of each grid point in the circular gridding color model are as follows:
(2) grid point color values of the circular color mixing model;
the color values corresponding to the grid points are:
(3) the grid point color mixing ratio of the annular color mixing model;
the color mixing ratio corresponding to each grid point is:
in the third embodiment, a full-color-domain color mixing model and a full-color-domain color spectrum thereof constructed by a six-color-one-gray-seven-primary-color dye solution are specifically as follows:
1. a ternary double coupling color mixing mode of six-color one-gray seven-primary-color dye liquor;
the gray dye liquor in the six-color one-gray seven-element primary color dye liquor is set as
The color dye solution is
，
;
;
The quality of the ternary dye solution double-coupling color mixing sample of the six-color one-gray seven-primary-color dye solution can be obtained based on the formula (3) is as follows:
the color mixing of the six-color-one-gray-seven-primary-color dye liquor ternary dual coupling color mixing sample can be obtained based on the formula (85) as follows:
to is directed at
: 
(86)
For the purpose of
: 
(87)
To is directed at
: 
(88)
For the purpose of
: 
(89)
To is directed at
: 
(90)
To is directed at
: 
(91)
2. Constructing a six-color one-gray seven-primary-color dye liquor ternary double-coupling color mixing sub-model;
as can be seen from equations (8) and (9), each submodel contains 54 grid points based on 6 sets of ternary dual-coupled color mixing submodels, which can be arranged into a matrix of 6 rows and 9 columns.
(1) A six-color one-gray seven-primary-color dyeing ternary double-coupling color mixing sub-model weight matrix;
when the temperature is higher than the set temperature
All of the 6-module submodels obtained from the equation (85)
Quality matrix of mixed color samples
：
(2) A color mixing ratio matrix of a six-color one-gray seven-primary-color dye liquor ternary double coupling color mixing sub-model;
when in use
All of the 6-module submodels obtained from the equation (85)
Color mixing ratio matrix of color mixing samples
：
(3) A color matrix of a six-color one-gray seven-primary-color dye liquor ternary double coupling color mixing sub-model;
when in use
All of the 6-module submodels obtained from the equation (85)
Color matrix of mixed color samples
：
3. A six-color one-gray seven-primary-color dye liquor three-dimensional full-color-domain color mixing model and a full-color-domain color spectrum;
(1) A grid point quality matrix of a six-color one-gray seven-primary-color dye liquor full color domain color mixing model;
it is known that:
let us order
Setting:
the grid point quality matrix of the six-color-one-gray-seven-primary-color dye liquor full-color-domain color mixing model obtained based on the formula (75) is as follows:
(2) A grid point color mixing ratio matrix of a full-color domain color mixing model of the six-color one-gray seven-primary-color dye liquor;
based on the formula (76), a grid point color mixing ratio matrix of a six-color-one-gray-seven-primary-color dye liquor full color domain color mixing model can be obtained as follows:
(3) A six-color one-gray seven-primary-color dye liquor full-color domain mixed color model grid point color matrix;
the grid point color matrix of the full-color gamut color mixing model of the six-color-one-gray-seven-primary-color dye liquor can be obtained based on the formula (77) as follows:
4. constructing a full-color-gamut geometric model of six-color gray-seven-primary-color dye liquor;
(1) Coordinates of grid points of the circular color model;
from the formulas (91), (92) and (93), the six-color-one-gray-seven-color dye liquor full-color-range color mixing model is a 6-row 48-column rectangular color model, and is visually different from a color matching circular ring model. The rectangular color model of 6 rows and 48 columns expressed by equation (98) can be converted into a circular ring-shaped color model by coordinate transformation of the grid points. The method comprises the following specific steps:
setting the radius of the circular ring-shaped color model to be 1, based on the characteristics of the rectangular color model expressed by the formula (98), performing 48 equal divisions along the circumference with the radius of 1 to obtain 48 grid points, and drawing a connecting line between the 48 grid points and the circle center; then 5 equal divisions are carried out on the circle radius to obtain 6 grid points, and the 6 grid points on the circle radius are crossed by taking the circle center as the center to make concentric circles, thereby obtaining the circular arc
Individual grid points, as shown in fig. 4:
the polar coordinates of each grid point in the circular gridding color model are as follows:
(2) Grid point color values of the circular color mixing model;
the color values corresponding to the grid points are:
in the fourth embodiment, a full-color gamut color mixing model constructed by gridding and color mixing of a six-color one-gray seven-primary color dye solution with five concentration levels is specifically as follows:
1. a six-color one-gray seven-primary-color dye liquor ternary double coupling color mixing mode with five concentration levels;
in a six-color one-gray seven-primary color dye liquor system with five concentration levels, the gray dye liquor is
The color dye solution is
Setting:
;
;
;
. Then respectively in
With six kinds of color dye liquor
The three-element double-coupling mixed system of the seven-primary-color dye liquor is combined into the following dye liquor color matching systems with different concentrations:
the color mixture of the six-color-one-gray-seven-primary-color dye liquor ternary dual-coupling color mixture sample with five concentration levels can be obtained based on the formula (101) as follows:
to is directed at
: 
(102)
To is directed at
: 
(103)
To is directed at
: 
(104)
To is directed at
: 
(105)
For the purpose of
: 
(106)
To is directed at
: 
(107)
2. Constructing a six-color one-gray seven-primary-color dye liquor ternary double-coupling color mixing sub-model based on five concentration surfaces;
as can be seen from the formula (96), for 7-primary-color dye solutions with 5 concentration planes, there are 6 sets of ternary dual-coupling color-mixing submodels corresponding to each concentration plane, and each submodel includes
A grid point corresponds to
On each concentration plane, a sub-model containing 6 sets of ternary double coupling color mixing sub-models can be constructed, then
Layer one
Sub-models of a group comprising
A grid of points.
(1) A six-color one-gray seven-primary-color dye liquor ternary double coupling color mixing sub-model weight matrix based on five concentration surfaces;
when in use
;
Obtained by the formula (92) to
Layer one
Sub-models of a group are all
Quality matrix of mixed color samples
：
(2) A color mixing ratio matrix of a six-color one-gray seven-primary-color dye liquor ternary double coupling color mixing sub-model based on five concentration planes;
when in use
;
Obtained from the formula (93)
Layer one
Sub-models of a group are all
Color mixing ratio matrix of color mixing samples
：
(3) The color matrix of the six-color one-gray seven-primary-color dye liquor ternary double-coupling color mixing sub-model based on five concentration surfaces;
when in use
;
Obtained by the formula (94) to
Layer one
All of the submodels of a group
Color matrix of mixed color samples
：
3. Constructing a six-color one-gray seven-primary-color dye liquor full-color-domain color mixing model based on five concentration planes;
(1) A six-color one-gray seven-primary-color dye liquor full-color-domain color mixing model grid point quality matrix based on five concentration planes;
setting:
;
;
;
;
then:
the quality matrix of the grid points of the seven-primary-color dye liquid full-color-domain color mixing model with five concentration levels can be obtained based on the formula (108) as follows:
(2) A grid point color mixing ratio matrix of a six-color one-gray seven-primary-color dye liquor full-color-domain color mixing model based on five concentration planes;
the grid point color mixing ratio matrix of the seven-primary color dye liquid color mixing model with five concentration levels can be obtained based on the formula (109) as follows:
(3) A six-color one-gray seven-primary-color dye liquor full-color domain mixed color model grid point color matrix based on five concentration planes;
the mesh point color matrix of the full-color gamut color mixing model of the seven-primary-color dye liquor with five concentration levels can be obtained based on the formula (110) as follows:
4. constructing a six-color one-gray seven-primary color dye liquor full color gamut geometric model based on five concentration surfaces;
(1) Grid point coordinates of the cylindrical color model;
from the equations (112) (113) (114), the full-color gamut color mixing model based on five concentration planes of six colors, one gray, and seven primary colors is a quadrangular prism color model with 5 layers, 6 rows, and 48 columns, which is visually different from the cylindrical color model. The color model of the quadrangular prism of 5 layers, 6 rows, and 48 columns expressed by equation (100) can be converted into a cylindrical color model by coordinate transformation of the grid points. The method comprises the following specific steps:
setting the height of a cylinder of a cylindrical color model as 1 and the radius of the circle as 1, dividing the height of the cylinder 1 into 4 equal parts based on the characteristics of the quadrangular color model expressed by the formula (114), dividing the circumference with the radius of 1 into 48 equal parts to obtain 48 grid points, and passing through the sections of the 48 grid points and the axis of the cylinder; then 5 equal divisions are carried out on the radius of the circular column to obtain 6 grid points, the center of the circular column is taken as the center to cross 6 grid points on the radius of the circular column to be made into concentric cylinders, and thereby the concentric cylinders can be obtained
Grid points, as shown in fig. 5.
The polar coordinates of each grid point in the cylindrical gridding color model are:
(2) color value of grid point of cylindrical color mixing model
The color values corresponding to each grid point are:
(3) lattice point color mixing ratio of cylindrical color mixing model
The color mixing ratio corresponding to each grid point is:
firstly, based on gray dye liquor and each color dye liquor under the concentration of each level of dye liquor, respectively constructing a multi-primary dye liquor color mixing mode of hue gradient change, chroma gradient change and concentration gradient change by combining discretization of the quality of each dye liquor, and respectively obtaining the quality, color mixing ratio and color value of a multi-primary coupled color mixing sample under each mode; then, respectively constructing a multi-primary color dye liquor coupling color mixing sub-model under each mode; then respectively constructing a full-color phase color mixing model of the multi-primary color dye solution in each mode; finally, respectively constructing circular geometric models of the full color gamut color space under each mode; therefore, hue control, lightness control and chroma control can be realized in application, digital spinning can be efficiently realized, and the spinning color precision 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 (11)
1. The full-color-domain color model for multi-dimensional gridding dye liquor mixing and the chromatogram construction thereof are characterized by comprising the following steps:
step A. Preset division based on dye liquor concentration from low to high
The concentration of each grade of dye liquor is preset
The quality of the color dye respectively corresponding to the concentration of each grade of dye liquor is
The quality of the gray dye corresponding to the concentration of each grade dye liquor is
The gray dye solutions are sorted according to the size of the hue angle respectively according to the dye solution concentration of each grade and the color dye solutions under the dye solution concentration of each grade; wherein,
，
，
is shown as
The color dye corresponds to
The quality of the color dye liquor of the grade dye liquor concentration;
indicates that the grey dye corresponds to
Quality of the colour dye liquor of the grade dye liquor concentration, and
and
the phase of the two phases is equal to each other, then entering the step B;
step B, respectively measuring the quality of each color dye liquor
According to preset discrete quantity
Discretization is carried out as follows (1):
wherein,
(ii) a And the quality of the grey dye liquor
According to preset discrete quantity
Discretization is carried out as follows (2):
wherein,
(ii) a Obtaining multi-primary color dye liquor, and then entering the step C;
c, constructing a multi-primary dye liquor color mixing mode with color gradient change based on the multi-primary dye liquor to obtain the quality, the color mixing ratio and the color value of the multi-primary binary coupling color mixing sample;
constructing a multi-primary dye liquor color mixing mode with gradient changes of hue and chroma based on the multi-primary dye liquor, and obtaining the quality, the color mixing ratio and the color value of the multi-primary ternary dual coupling color mixing sample;
constructing a multi-primary dye liquor color mixing mode with changing hue, chroma and concentration gradient based on the multi-primary dye liquor, obtaining the quality, color mixing ratio and color value of the multi-primary ternary dual coupling color mixing sample with different levels of dye liquor concentration, and then entering the step D;
d, constructing a multi-primary dye liquor binary coupling color mixing sub-model based on the quality, the color mixing ratio and the color value of the multi-primary binary coupling color mixing sample;
constructing a multi-primary-color dye-liquor ternary double coupling color mixing sub-model based on the quality, the color mixing ratio and the color value of the multi-primary-color ternary double coupling color mixing sample;
constructing a multi-primary color dye liquor ternary double coupling color mixing sub-model based on different levels of dye liquor concentrations based on the quality, color mixing ratio and color value of the multi-primary color ternary double coupling color mixing sample with different levels of dye liquor concentrations; then entering step E;
e, constructing a one-dimensional full-color phase color mixing model of the multi-primary-color dye liquor according to the multi-primary-color dye liquor binary coupling color mixing sub-model;
constructing a two-dimensional full-color-domain color mixing model of the multi-primary-color dye liquor according to the multi-primary-color dye liquor ternary dual coupling color mixing sub-model;
constructing a three-dimensional full-color-domain color mixing model based on the multi-primary-color dye liquor with different levels of dye liquor concentrations according to the multi-primary-color dye liquor ternary dual coupling color mixing sub-model based on different levels of dye liquor concentrations, and then entering the step F;
f, constructing a circular geometric model of a one-dimensional panchromatic domain color space according to a one-dimensional panchromatic phase color mixing model of the multi-primary color dye solution;
constructing a circular geometric model of a two-dimensional panchromatic domain color space according to a two-dimensional panchromatic domain color mixing model of the multi-primary color dye solution;
and constructing a cylindrical geometric model of a three-dimensional panchromatic domain color space according to a three-dimensional panchromatic domain color mixing model based on the multi-primary-color dye liquor with different levels of dye liquor concentration.
2. The full-color-domain color model for multi-dimensional gridding dye liquor mixing and the chromatographic construction thereof according to claim 1 are characterized in that: in the step C, a multi-primary dye liquor color mixing mode with gradient change of hue is constructed based on the multi-primary dye liquor, and the quality, the color mixing ratio and the color value of the multi-primary binary coupling color mixing sample are obtained according to the following processing;
aiming at the concentration of the dye liquor in each grade, two kinds of color dye liquor are sequentially selected from the sequencing of the multi-base color dye liquor represented by the formula (1) for combined color mixing as follows:
wherein,
is shown as
Concentration of the dye liquor of grade
The discrete mass of the seed color dye,
is shown as
Under the concentration of the graded dye liquor
A discrete mass of seed color dye;
performing binary coupling color mixing according to the formula (3) to obtain
A mixed color sample corresponding to the binary coupled mixed color, each mixed color sample
The following were used:
according to formula (4), and
color mixing ratio of color mixing sample corresponding to binary coupling color mixing under level dye liquor concentration
Obtaining
The color mixing ratio of each color dye solution in each color mixing sample is as follows:
and according to
The update formula (5) is as follows:
according to the colour value of binary colour dyeing liquor
、
Obtained with respect to formula (4)
The color values of the mixed color samples are respectively as follows:
3. The full-color-domain color model and the color spectrum construction thereof for multi-dimensional gridding dye liquor mixing according to claim 1 are characterized in that: in the step C, a multi-primary dye liquor color mixing mode with gradient changes of hue and chroma is constructed based on the multi-primary dye liquor, and the quality, the color mixing ratio and the color value of the multi-primary ternary dual coupling color mixing sample are obtained through the following processing;
respectively aiming at the concentration of each level of dye liquor, sequentially selecting two color dye liquors from the sequence of the multi-base color dye liquor represented by the formula (1), and combining and selecting the gray dye liquors with the same concentration of the dye liquor from the gray dye liquors represented by the formula (2) to perform combined color mixing as follows:
wherein,
is shown as
Concentration of the dye liquor of grade
The discrete mass of the seed color dye,
is shown as
Under the concentration of the graded dye liquor
The discrete mass of the seed color dye,
is shown as
Discrete mass of grey dye at the level dye liquor concentration;
performing ternary double coupling color mixing according to the formula (8) to obtain
The quality of each mixed color sample is determined by the quality of the mixed color sample corresponding to the ternary double coupling mixed color
The following were used:
according to formula (9), and
color mixing ratio of color mixing sample corresponding to ternary double coupling color mixing under level dye liquor concentration
Obtaining
The color mixing ratio of each dye solution in each color mixing sample is as follows:
according to the colour values of two colour dyeing liquors
、
And color value of the grey dye liquor
Obtained with respect to formula (9)
The color values of the mixed color samples are respectively as follows:
4. The full-color-domain color model for multi-dimensional gridding dye liquor mixing and the chromatographic construction thereof according to claim 1 are characterized in that: in the step C, a multi-primary dye solution color mixing mode with changing hue, chroma and concentration gradient is constructed based on the multi-primary dye solution, the quality, the color mixing ratio and the color value of the multi-primary ternary dual coupling color mixing sample with different levels of dye solution concentration are obtained according to the following processing,
based on the color dye solutions under the dye solution concentrations of all levels, two color dye solutions are selected from the dye solution concentrations of different levels, and the gray dye solutions are selected from the gray dye solutions represented by the formula (2) to carry out combined color mixing as follows:
wherein,
、
、
，
is shown as
Discrete mass of grey dye at the level dye liquor concentration,
is shown as
Under the concentration of the graded dye liquor
The discrete mass of the seed color dye,
is shown as
Under the concentration of the graded dye liquor
A discrete mass of seed color dye;
performing ternary double coupling color mixing according to formula (12) to obtain
The quality of each mixed color sample is determined by the quality of the mixed color sample corresponding to the ternary double coupling mixed color
The following were used:
according to the colour values of two colour dyeing liquors
、
And color value of the grey dye liquor
As to formula (13)Obtain
The color values of the mixed color samples are respectively as follows:
5. The full-color-domain color model and the color spectrum construction thereof for multi-dimensional gridding dye liquor mixing according to claim 1 are characterized in that: in the step D, based on the quality, the color mixing ratio and the color value of the multi-primary-color binary coupling color mixing sample, constructing a multi-primary-color dye solution binary coupling color mixing sub-model as follows:
(1) the quality matrix of the multi-primary color dye liquor binary coupling color mixing sub-model is as follows:
(2) the color mixing ratio matrix of the multi-primary color dye liquor binary coupling color mixing submodel is as follows:
(3) the color matrix of the multi-primary color dye liquor binary coupling color mixing submodel is as follows:
based on the quality, the color mixing ratio and the color value of the multi-primary-color ternary and dual coupling color mixing sample, the multi-primary-color dye-liquor ternary and dual coupling color mixing sub-model is constructed as follows:
(1) the quality matrix of the multi-primary-color dye liquor ternary double-coupling color mixing sub-model is as follows:
(2) the color mixing ratio matrix of the multi-primary-color dye liquor ternary double coupling color mixing submodel is as follows:
(3) the color matrix of the multi-primary color dye liquor ternary double coupling color mixing submodel is as follows:
based on the quality, the color mixing ratio and the color value of the multi-primary-color ternary double-coupling color mixing sample with different levels of dye liquor concentration, a multi-primary-color ternary double-coupling color mixing sub-model based on different levels of dye liquor concentration is constructed as follows:
(1) the quality matrix of the multi-primary color dye liquor ternary double-coupling color mixing sub-model based on different levels of dye liquor concentrations is as follows:
(2) the color mixing ratio matrix of the multi-primary color dye liquor ternary double-coupling color mixing submodel based on different levels of dye liquor concentration is as follows:
(3) the color matrix of the multi-primary color dye liquor ternary double-coupling color mixing submodel based on different levels of dye liquor concentration is as follows:
6. The full-color-domain color model for multi-dimensional gridding dye liquor mixing and the chromatographic construction thereof according to claim 5 are characterized in that: in the step E, according to the multi-primary color dye solution binary coupling color mixing sub-model, a one-dimensional full-color phase color mixing model of the multi-primary color dye solution is constructed as follows:
order to
Is provided with
Then, the expressions (16), (17) and (18) correspond to all
The quality, color mixing ratio, and color of the binary coupled color mixture sample are measured by 1 line
The matrix of columns is represented as follows:
the compounds of the formulae (16), (17) and (18)
And expanding to obtain a quality matrix of the one-dimensional full-hue gridding color mixing model as follows:
the color mixing ratio matrix of the one-dimensional full-hue gridding color mixing model is obtained as follows:
the color matrix of the one-dimensional full-hue gridding color mixing model is obtained as follows:
namely, a one-dimensional full-color phase color mixing model of the multi-primary color dye solution constructed based on the multi-primary color dye solution binary coupling color mixing is obtained.
7. The full-color-domain color model and the color spectrum construction thereof for multi-dimensional gridding dye liquor mixing according to claim 6 are characterized in that: in the step F, according to the one-dimensional full-color phase color mixing model of the multi-primary-color dye solution, the circular geometric model of the one-dimensional full-color domain color space is constructed as follows:
respectively aiming at the dye liquor concentration of each grade according to
Respective mixed color samples of respective grid points
The hue angle is arranged in sequence and evenly distributed on the circumference with the radius of 1, and each color value is set
Polar angle of grid point of
Polar radius of
Then each color value
The polar coordinates of the grid points of (a) are:
according to
Then, the color values of the grid points are obtained by equations (5) and (6)
The following:
namely, based on the formulae (25) (26), obtained
The annular geometric model of one-dimensional full color gamut color space constructed by combining multi-primary color dye liquor binary coupling color mixing is uniformly divided into hue circles
The polar coordinates of each grid point and its color value can be obtained by equations (25) and (26).
8. The full-color-domain color model for multi-dimensional gridding dye liquor mixing and the chromatographic construction thereof according to claim 5 are characterized in that: in the step E, according to the multi-primary-color dye liquor ternary double-coupling color mixing sub-model, a two-dimensional full-color-domain color mixing model of the multi-primary-color dye liquor is constructed as follows:
based on the formulas (13), (14) and (15), it can be seen that the dye solutions of multiple primary colors are respectively used for the dye solution concentrations of each grade
The group-element dual-coupling color mixing submodel comprises
A grid point, passing
Line of
A matrix representation of the columns, and
the group-ternary dual-coupling color-mixing gridding submodel is spliced and combined in sequence from head to tail corresponding to each line to obtain gray dye solution
And a colored dye liquor
Forming a multi-primary color panchromatic domain gridding color mixing model;
order to
Then:
when the temperature is higher than the set temperature
When the temperature of the water is higher than the set temperature,
,
and is made of
；
When in use
When the temperature of the water is higher than the set temperature,
,
and is made of
；
When the temperature is higher than the set temperature
When the utility model is used, the water is discharged,
,
and is and
；
when the temperature is higher than the set temperature
When the temperature of the water is higher than the set temperature,
,
and is and
；
integrating all the mixed color samples into a matrix
And, and:
based on the above
Obtained by double coupling and color mixing of group-three dye solutions
Color mixture sample, and construction
Line of
A gridding matrix of columns, thereby constructing a full color gamut gridding color mixing model, and developing the formula (27) to obtain the full color gamut gridding color mixing model
Line of
The column quality matrix is as follows, namely the quality matrix of the two-dimensional panchromatic gamut color mixing model of the multi-primary color dye solution;
and (4) obtaining a color mixing ratio matrix of a two-dimensional panchromatic gamut color mixing model of the multi-primary color dye solution corresponding to the formula (28):
or:
(34)；
and (5) obtaining a color matrix of a two-dimensional full-color-domain color mixing model of the multi-primary color dye solution, corresponding to the formula (29):
or:
(36)；
namely, a two-dimensional full-color-domain color mixing model of the multi-primary-color dye solution constructed based on the multi-primary-color dye solution ternary double-coupling color mixing sub-model is obtained.
9. The full-color-domain color model and the color spectrum construction thereof for multi-dimensional gridding dye liquor mixing according to claim 8 are characterized in that: in the step F, according to a two-dimensional panchromatic range color mixing model of the multi-primary color dye solution, a circular geometric model of a two-dimensional panchromatic range color space is constructed according to the following operation;
according to the formulas (32), (34) and (36), the two-dimensional full-color-domain color mixing model based on the multi-primary-color dye liquor is a model
Line of
A rectangular color model of the column expressed by equation (36) by coordinate transformation of the grid points
Line for mobile communication terminal
The rectangular color model of the column is converted into a circular color model as follows:
with circular colour modelsRadius of 1, based on the characteristics of the rectangular color model expressed by equation (36), along the circumference of radius 1
Is divided equally to obtain
A grid point is drawn
Connecting lines of the grid points and the circle center; then the radius of the circle is processed
Is divided equally to obtain
A grid point on the circle radius centered at the center of the circle
Making concentric circles at each grid point, thereby obtaining
The polar coordinates of each grid point in the circular gridding color model are as follows:
the color value of each grid point in the circular gridding color model is as follows:
the color mixing ratio of each grid point in the circular gridding color model is as follows:
10. the full-color-domain color model for multi-dimensional gridding dye liquor mixing and the chromatographic construction thereof according to claim 5 are characterized in that: in the step E, according to the multi-primary color dye liquor ternary double-coupling color mixing sub-model based on different levels of dye liquor concentration, a three-dimensional full-color-domain color mixing model based on the multi-primary color dye liquor with different levels of dye liquor concentration is constructed as follows:
a first of the multi-primary dyebaths at different dye liquor concentrations based on formula (40)
Layer one
The group-ternary double coupling color mixing is constructed
Sub-models, each sub-model comprising
Individual grid points, should work the first
Layer one
Of group (a)
Line of
Matrix representation of the columns, will all
Of a layer
The group-ternary dual-coupling color-mixing gridding submodel is spliced and combined in sequence from head to tail corresponding to each line to obtain gray dye solution
And color dye liquor
Forming a multi-primary color panchromatic domain gridding color mixing model;
order to
And then:
when in use
When the temperature of the water is higher than the set temperature,
,
and is and
；
when in use
When the temperature of the water is higher than the set temperature,
,
and is made of
；
When the temperature is higher than the set temperature
When the temperature of the water is higher than the set temperature,
,
and is made of
；
When in use
When the temperature of the water is higher than the set temperature,
,
and is and
；
integrating all the mixed color samples into a matrix
The following were used:
based on formula (44), under different levels of dye liquor concentration
Layer(s)
Obtained by double coupling and color mixing of group-three dye solutions
Color mixing sample construction
An
Line for mobile communication terminal
A gridding matrix of columns, thereby constructing a full color gamut gridding color mixing model, and developing the formula (44) to obtain the full color gamut gridding color mixing model
An
Line for mobile communication terminal
Column quality matrix:
corresponding to the formula (44), under different levels of dye liquor concentration, obtaining a color mixing ratio matrix of the three-dimensional full-color-gamut gridding color mixing model as follows:
or:
corresponding to the formula (46), under different levels of dye liquor concentration, the color matrix of the two-dimensional full color gamut gridding color mixing model is obtained as follows:
or:
namely, a three-dimensional full-color-domain color mixing model based on multi-primary-color dye liquor with different levels of dye liquor concentration is constructed.
11. The full-color-domain color model and the color spectrum construction thereof for multi-dimensional gridding dye liquor mixing according to claim 10 are characterized in that: in the step F, according to a three-dimensional panchromatic range color mixing model based on multi-primary-color dye liquor with different levels of dye liquor concentration, a cylindrical geometric model of a three-dimensional panchromatic range color space is constructed according to the following operations:
according to the formulas (45), (47) and (49), the three-dimensional full-color-domain color mixing model based on the multi-primary-color dye liquor with different levels of dye liquor concentration is a model
Layer(s)
Line of
A quadrangular prism color model of the columns expressed by equation (49) by coordinate conversion of grid points
Layer(s)
Line of
The rectangular color model of the column is converted into a cylindrical color model as follows:
setting the cylinder height of the cylindrical color model as 1 and the radius of the circle as 1, and based on the characteristics of the quadrangular color model expressed by the formula (49), making the cylinder height of 1 as
Equally dividing the circumference with the radius of 1 into
Is divided equally to obtain
A grid point
A tangent plane of each grid point and the center of the cylinder; then the radius of the cylinder is adjusted
Is divided equally to obtain
A grid point on the radius of the circle with the center of the cylinder as the center
Making concentric cylinders at each grid point, thereby obtaining
The polar coordinates of each grid point in the cylindrical gridding color model are as follows:
the color values of each grid point in the cylindrical gridding color model are as follows:
the color mixing ratio of each grid point in the cylindrical gridding color model is as follows:
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202211075972.8A CN115146490B (en) | 2022-09-05 | 2022-09-05 | Full-color-domain color model prepared by blending multidimensional gridding dye liquor and chromatographic construction method thereof |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202211075972.8A CN115146490B (en) | 2022-09-05 | 2022-09-05 | Full-color-domain color model prepared by blending multidimensional gridding dye liquor and chromatographic construction method thereof |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN115146490A true CN115146490A (en) | 2022-10-04 |
| CN115146490B CN115146490B (en) | 2022-12-13 |
Family
ID=83415999
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN202211075972.8A Active CN115146490B (en) | 2022-09-05 | 2022-09-05 | Full-color-domain color model prepared by blending multidimensional gridding dye liquor and chromatographic construction method thereof |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN115146490B (en) |
Citations (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110490981A (en) * | 2019-08-14 | 2019-11-22 | 愉悦家纺有限公司 | A kind of eight yuan of primary colours HSB full gamut color space gridding methods and its discrete chromatography construction method |
| US20190387132A1 (en) * | 2017-11-07 | 2019-12-19 | Shenzhen China Star Optoelectronics Technology Co., Ltd. | Color gamut mapping method and color gamut mapping apparatus |
| CN112632790A (en) * | 2020-12-29 | 2021-04-09 | 愉悦家纺有限公司 | Construction application of multi-dimensional coupling-superposition composite color mixing model and gradient chromatography matrix algorithm |
| CN113538691A (en) * | 2021-06-16 | 2021-10-22 | 江南大学 | HSI gridding model construction and method for visualizing isochromatic chromatogram of isocratic isochromatic and isochromatic chroma |
| CN114792363A (en) * | 2022-04-19 | 2022-07-26 | 江南大学 | Panchromatic domain gridding color mixing model construction method based on trichromatic fiber color mixing spinning and color spinning method |
| CN114820848A (en) * | 2022-04-19 | 2022-07-29 | 江南大学 | Seven-primary-color fiber full-color-gamut color mixing mode and annular gridding color matching model construction and color yarn spinning method |
-
2022
- 2022-09-05 CN CN202211075972.8A patent/CN115146490B/en active Active
Patent Citations (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US20190387132A1 (en) * | 2017-11-07 | 2019-12-19 | Shenzhen China Star Optoelectronics Technology Co., Ltd. | Color gamut mapping method and color gamut mapping apparatus |
| CN110490981A (en) * | 2019-08-14 | 2019-11-22 | 愉悦家纺有限公司 | A kind of eight yuan of primary colours HSB full gamut color space gridding methods and its discrete chromatography construction method |
| CN112632790A (en) * | 2020-12-29 | 2021-04-09 | 愉悦家纺有限公司 | Construction application of multi-dimensional coupling-superposition composite color mixing model and gradient chromatography matrix algorithm |
| CN113538691A (en) * | 2021-06-16 | 2021-10-22 | 江南大学 | HSI gridding model construction and method for visualizing isochromatic chromatogram of isocratic isochromatic and isochromatic chroma |
| CN114792363A (en) * | 2022-04-19 | 2022-07-26 | 江南大学 | Panchromatic domain gridding color mixing model construction method based on trichromatic fiber color mixing spinning and color spinning method |
| CN114820848A (en) * | 2022-04-19 | 2022-07-29 | 江南大学 | Seven-primary-color fiber full-color-gamut color mixing mode and annular gridding color matching model construction and color yarn spinning method |
Non-Patent Citations (4)
| Title |
|---|
| 彭辉等: "数字化色彩体系在纺织服装产业链颜色管理中的应用", 《纺织导报》 * |
| 李启正等: "原液着色涤纶交织混色织物的颜色预测模型", 《纺织学报》 * |
| 赵柏钥: "高动态范围和广色域下颜色视觉模型的研究", 《中国优秀硕士学位论文全文数据库》 * |
| 骆柳杉等: "基于天然染料散纤染色的色纺纱柔性制造技术", 《针织工业》 * |
Also Published As
| Publication number | Publication date |
|---|---|
| CN115146490B (en) | 2022-12-13 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN110490981B (en) | Gridding model of eight-primary-color HSB color space and discrete chromatogram construction method thereof | |
| CN112562016B (en) | Construction and application of color fiber multi-dimensional color mixing space grid model and grid point array chromatogram | |
| CN104572911A (en) | Pre-spinning-colored fiber color testing and matching method | |
| CN112348961B (en) | Construction and application of color fiber three-dimensional color mixing space grid model and grid point array chromatogram | |
| CN114792363B (en) | Full-color domain gridding color mixing model construction method and color spinning method for three-primary-color fiber construction | |
| WO2022110588A1 (en) | Construction method for grid model and grid point array color matrix of color fiber four-dimensional color mixing space and use thereof | |
| CN112347684B (en) | Construction and application of color fiber five-dimensional color mixing space grid model and grid point array chromatogram | |
| WO2022110587A1 (en) | Method for constructing color fiber six-dimensional color mixing space grid model and grid point array color matrix thereof, and application | |
| CN112347685B (en) | Construction and application of color fiber two-dimensional color mixing space grid model and grid point array chromatogram | |
| CN114820848B (en) | Seven-primary-color fiber full-color-gamut color mixing mode and annular gridding color matching model construction method | |
| CN102799895A (en) | Offset printing ink color matching method based on least square support vector machine | |
| CN112733079A (en) | Construction and application of multi-dimensional superposition color mixing model and gradient chromatography matrix algorithm | |
| CN115146490B (en) | Full-color-domain color model prepared by blending multidimensional gridding dye liquor and chromatographic construction method thereof | |
| CN113536540A (en) | Method for constructing high-dimensional discrete chromatogram and visualization by using multi-element mixed-color fiber system | |
| CN115115717B (en) | Seven-primary-color polyester three-dimensional gridding mixed three-dimensional color stereoscopic and full-color domain color matching method based on gradient gray value construction | |
| CN112785664B (en) | Construction and application of multi-dimensional coupling color mixing model and gradient chromatography matrix algorithm | |
| CN115146489B (en) | HSI color stereo constructed by gridding, mixing and blending seven-primary-color dye solution and method for acquiring chromatogram thereof | |
| CN112632790B (en) | Construction application of multi-dimensional coupling-superposition composite color mixing model and gradient chromatography matrix algorithm | |
| TWM632587U (en) | Automatic color matching device | |
| CN115491909B (en) | Color space based on gridding mixing of nine-primary color dye liquor and equal brightness color spectrum construction thereof | |
| Tonnquist | Philosophy of perceptive color order systems | |
| CN115115716B (en) | Color space constructed by four-primary-color polyester gridding mixing and full-color domain digitizing method | |
| EP1561090A1 (en) | Method for the production of a digital colour catalogue | |
| CN113119447A (en) | Method for color space conversion of color 3D printing | |
| CN113096196A (en) | Method for constructing color system of colored woven fabric |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| PB01 | Publication | ||
| PB01 | Publication | ||
| SE01 | Entry into force of request for substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| GR01 | Patent grant | ||
| GR01 | Patent grant |