CN115146490B

CN115146490B - Full-color-domain color model prepared by blending multidimensional gridding dye liquor and chromatographic construction method thereof

Info

Publication number: CN115146490B
Application number: CN202211075972.8A
Authority: CN
Inventors: 刘曰兴; 薛元; 王立强; 高洪国; 张国清; 王玉平; 刘尊东; 孙显强; 朱文硕; 谌启鑫
Original assignee: Yuyue Home Textile Co Ltd
Current assignee: Yuyue Home Textile Co Ltd
Priority date: 2022-09-05
Filing date: 2022-09-05
Publication date: 2022-12-13
Anticipated expiration: 2042-09-05
Also published as: CN115146490A

Abstract

The invention relates to a full color gamut color model mixed by multi-dimensional gridding dye liquor and a chromatogram construction method thereof, belonging to the technical field of color regulation and control in the textile industry.A multi-primary dye liquor color mixing mode with hue gradient change, chroma gradient change and concentration gradient change is respectively constructed based on gray dye liquor and each color dye liquor under each level of dye liquor concentration and combined with discretization of the quality of each dye liquor, and the quality, color mixing ratio and color value of a multi-primary coupled color mixing sample under each mode are respectively obtained; 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 color matching of the dye liquor can be efficiently realized, and the dyeing color precision of the dye liquor is improved.

Description

Full-color-domain color model prepared by blending multidimensional gridding dye liquor and chromatographic construction method thereof

Technical Field

The invention relates to a full-color-domain color model prepared by blending multidimensional gridding dye liquor and a chromatographic construction method thereof, belonging to the technical field of color regulation and control in the textile industry.

Background

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.

In optical physics, classic 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 field, a pagoda-shaped color model and a circular color matching model are constructed and used for explaining the change rules of color hue, lightness and chroma in the color matching process.

In the industries of textile, printing and dyeing, dope dyeing and spinning and the like, dyes, printing inks, polymer solutions (melts) and other color materials with different colors are adopted to be uniformly mixed according to different proportions to obtain new colors of products, so that the product innovation is driven through 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 panchromatic color model which base colors and mixing ratios of the respective base color colorants 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 mixing multi-dimensional gridding dye liquor and a color spectrum construction method thereof.

The invention adopts the following technical scheme for solving the technical problems: the invention designs a full-color-domain color model mixed with multi-dimensional gridding dye liquor and a chromatographic construction method thereof, wherein the full-color-domain color model comprises the following steps:

step A, configuring preset xi color dyes with the quality of respectively corresponding to the dye liquor concentration of each grade as

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 aiming at the color dye solutions under the concentration of the dye solutions of the grades based on the concentration of the dye solutions of the grades respectively; wherein e =1,2,. Tau, τ +1, δ =1,2,. Eta, ξ,

representing the quality of the color dye liquor of the delta color dye corresponding to the concentration of the epsilon grade dye liquor;

showing the quality of the dye liquor corresponding to the grey dye at the concentration of the dye liquor of the epsilon grade, and

and

and C, equaling, and then entering the step B;

step B, respectively measuring the quality of each color dye liquor

Discretizing according to a preset discretization quantity n as shown in the following formula (1):

wherein j =1, 2., n, n +1; and quality of grey dye liquor

Discretizing according to a preset discretization quantity m as shown in the following formula (2):

wherein i =1,2,. Multidot.m, m +1; 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 to obtain 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 a 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 multi-dimensional gridding dye liquor and the chromatographic construction method thereof have the following technical effects:

the invention designs a full color gamut color model mixed by multi-dimensional gridding dye liquor and a color spectrum construction method thereof, firstly, based on gray dye liquor and each color dye liquor under the concentration of each level of dye liquor, combining the discretization of the quality of each dye liquor, respectively constructing a multi-primary dye liquor color mixing mode of color gradient change, chroma gradient change and concentration gradient change, 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, circular geometric models of the full color gamut color space under each mode are respectively constructed; therefore, hue regulation and control, lightness regulation 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 gamut color model of multi-dimensional gridding dye liquor blending and a chromatogram construction method thereof designed by the invention;

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 multidimensional gridding dye liquor and a chromatogram construction method 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. constructing a ternary dual coupling color mixing mode between different color pigments and the same gray pigment, and deducing a weight matrix, a mixing ratio matrix and a color matrix of all mixed samples of the color pigments;

3. the invention discloses a method for constructing a three-dimensional panchromatic gamut color space model and a three-dimensional gridding panchromatic gamut color spectrum with gradient changes of hue, chroma and lightness;

4. the invention discloses a method for constructing one-dimensional, two-dimensional and three-dimensional full color gamut color space geometric models 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 models.

Based on the above design concept, in practical applications, as shown in fig. 1, the following steps a to F are specifically performed.

Step A, on the basis of preset tau +1 levels of dye liquor concentrations which are divided from low to high in dye liquor concentration, xi color dyes which are preset to be high in color ratio, pure in color and uniform in hue distribution are configured, and the quality of the xi color dyes corresponding to the dye liquor concentrations of the levels 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 hue angle on the basis of the concentration of each grade dye solution and aiming at each color dye solution under the concentration of the grade dye solution; wherein e =1,2,. Tau, τ +1, δ =1,2,. Eta, ξ,

showing the quality of the dye liquor corresponding to the grey dye under the concentration of the dye liquor of the epsilon grade, and each

And with

And then step B is entered.

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 concentration of the dye liquor is in gradient distribution between the gray dye liquor and the color dye liquor

When the dye liquor concentration is divided into tau +1 levels from low concentration to high concentration, the dye liquor lightness is also divided into tau +1 levels from high brightness to low brightness, corresponding to the lightness value of the dye liquor.

Step B, respectively measuring the quality of each color dye liquor

Discretizing according to a preset discretization amount n as follows (1):

wherein j =1, 2., n, n +1; and the quality of the grey dye liquor

wherein i =1,2,. Multidot.m, m +1; namely obtaining the multi-primary color dye liquor, and then entering the step C.

Step C, aiming at the multi-primary dye liquor color mixing system, carrying out binary combination pairing on multi-primary dye liquor with the same concentration to obtain xi group of two-primary color mixing dye liquor, and then carrying out binary coupling color mixing based on discretization weight to obtain (n + 1) x xi mixed samples, thereby constructing a multi-primary dye liquor color mixing mode with hue gradient change;

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 the content of the first and second substances,

representing the discrete mass of the delta-th color dye at the epsilon-th scale dye liquor concentration,

representing the discrete mass of the δ +1 color dye at the ε -th scale dye liquor concentration.

Performing binary coupling color mixing according to formula (3) to obtain mixed color samples corresponding to (n + 1) × ξ binary coupling color mixing, each mixed color sample Ω _ε (j, δ) is as follows:

Ω _ε (j, delta) represents the quality of a color mixing sample corresponding to binary coupling color mixing under the concentration of the dye liquor of the epsilon level;

according to the formula (4) and the color mixing ratio of the color mixing sample corresponding to the binary coupling color mixing under the concentration of the dye liquor with the epsilon level

The mixed color ratio of each color dye solution in (n + 1) multiplied by xi mixed color samples is obtained as follows:

and according to

The more recent (5) is as follows:

the quality of a mixed color sample corresponding to binary coupling mixed color under the concentration of the dye liquor of the epsilon level is shown as

The color mixing ratio of the colored dye liquor of (1),

the quality of a mixed color sample corresponding to binary coupling mixed color under the concentration of the dye solution of the epsilon level is shown as

The color mixing ratio of the colored dye liquor;

according to the colour value C of the binary colour dyeing liquor _δ (R _δ ,R _δ ,B _δ )、C _δ+1 (R _δ+1 ,R _δ+1 ,B _δ+1 ) The color values of (n + 1) × ξ color mixtures obtained by expression (4) are each as follows:

and the color value of the color mixing sample corresponding to the binary coupling color mixing under the concentration of the dye liquor of the epsilon grade is represented.

Aiming at the multi-primary dye liquor color mixing system, the multi-primary dye liquor with the same dye liquor concentration is subjected to ternary combination matching to obtain xi groups of three-primary color mixing dye liquor, and then ternary double coupling color mixing is carried out based on discretization weight, so that a multi-primary dye liquor color mixing mode with the color phase and the chroma gradient changing is constructed.

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, the first and the second end of the pipe are connected with each other,

representing the discrete mass of the delta-th color dye at the epsilon-th level of dye liquor concentration,

represents the discrete mass of the delta +1 color dye under the concentration of the epsilon-grade dye liquor,

representing the discrete mass of grey dye at the dye liquor concentration of the epsilon grade;

performing ternary double coupling color mixing according to the formula (8) to obtain mixed color samples corresponding to the ternary double coupling color mixing of (m + 1) × (n + 1) × xi, wherein the quality omega of each mixed color sample _ε (i, j, δ) is as follows:

Ω _ε (i, j, delta) represents the quality of a color mixing sample corresponding to ternary double coupling color mixing under the concentration of the dye liquor of the epsilon level;

according to the formula (9) and the color mixing ratio of the color mixing sample corresponding to the ternary double coupling color mixing under the concentration of the dye liquor with the epsilon level

The color mixing ratio of each dye liquor in (m + 1) × (n + 1) × xi mixed color samples is obtained as follows:

the quality of a mixed color sample corresponding to ternary double-coupling mixed color under the concentration of the dye solution of the epsilon level is shown as

The color mixing ratio of the gray dye liquor of (1),

The color mixing ratio of the colored dye liquor;

the quality of a mixed color sample corresponding to ternary double-coupling mixed color under the concentration of the dye solution of the epsilon level is represented as

The color mixing ratio of the colored dye liquor;

color value C according to two color dyeing solutions _δ (R _δ ,R _δ ,B _δ )、C _δ+1 (R _δ+1 ,R _δ+1 ,B _δ+1 ) And color value C of the grey dye liquor _ο (R _ο ,G _ο ,B _ο ) The color values of (m + 1) × (n + 1) × ξ color mixtures obtained by expression (9) are each as follows:

and the color value of the color mixing sample corresponding to the ternary double coupling color mixing under the concentration of the dye liquor of the epsilon level is represented.

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 dye liquor color mixing system, based on different concentration surfaces of epsilon =1, 2.,. Tau-1 and tau, the multi-primary dye liquors corresponding to different concentration surfaces are subjected to ternary combination pairing, each concentration surface can obtain xi group of three-primary dye liquors, and then ternary double coupling color mixing is carried out based on discretization weight, so that a multi-primary dye liquor color mixing mode with brightness, hue and chroma gradient changes is constructed.

Based on the color dye solutions under the dye solution concentrations of all grades, two color dye solutions are selected from the dye solution concentrations of different grades, 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 epsilon ₁ ＝1,2,...,τ,τ+1、ε ₂ ＝1,2,...,τ,τ+1、ε ₃ ＝1,2,...,τ,τ+1，

Denotes the epsilon ₁ Discrete mass of grey dye at the level dye liquor concentration,

denotes the epsilon ₂ Discrete mass of the delta-th color dye at the graded dye liquor concentration,

denotes the epsilon ₃ Discrete mass of the delta +1 color dye under the concentration of the graded dye liquor;

performing ternary double coupling color mixing according to the formula (12) to obtain mixed color samples corresponding to the ternary double coupling color mixing of (tau + 1) × (m + 1) × (n + 1) × xi, wherein the quality omega (i, j, delta, epsilon) of each mixed color sample is as follows:

omega (i, j, delta, epsilon) represents the quality of the color mixing sample corresponding to the ternary double coupling color mixing under different levels of dye liquor concentration; according to the formula (13) and the color mixing ratio of the color mixing sample corresponding to the ternary double coupling color mixing under different levels of dye liquor concentration

The color mixture ratio of each dye solution in (tau + 1) × (m + 1) × (n + 1) × xi mixed color samples is obtained as follows:

indicating that the quality of the mixed color sample corresponding to ternary double coupling mixed color under different levels of dye liquor concentration is

The color mixing ratio of the gray dye liquor,

the quality of the mixed color sample corresponding to ternary double coupling mixed color under different levels of dye liquor concentration is shown as

The color mixture ratio of the colored dye solution;

The color mixture ratio of the colored dye solution;

color value C according to two color dyebaths _δ (R _δ ,R _δ ,B _δ )、C _δ+1 (R _δ+1 ,R _δ+1 ,B _δ+1 ) And color value C of the grey dye liquor _ο (R _ο ,G _ο ,B _ο ) The color values of (τ + 1) × (m + 1) × (n + 1) × ξ blendstocks obtained by equation (13) are each as follows:

and the color value of the color mixing sample corresponding to the ternary double coupling color mixing under different levels of dye liquor concentration is represented.

The gridding color mixing system of the multi-primary color dye liquor divides the dye liquor molar concentration of xi color dye liquor and a gray dye liquor into (tau + 1) grades, and supposes that xi color dye liquor and 1 gray dye liquor on each equal concentration surface have equal brightness values.

If based on the equal concentration surface, combining xi color dye solutions two by two, and then carrying out binary coupled color mixing according to the discretization weight, so as to obtain a one-dimensional color mixing model of the multi-primary color dye solution on a certain equal concentration surface, wherein the one-dimensional color mixing model comprises (n + 1) xxi grid points and a full color chromatogram of (n + 1) xxi color gradients;

if based on the equal concentration surface, two groups of color dye solutions are sequentially selected from xi color dye solutions and combined with a gray dye solution, and then ternary double coupling color mixing is carried out according to the discretization weight, so that a two-dimensional color mixing model containing (m + 1) x (n + 1) x xi grid points and a full color domain chromatogram of (m + 1) x (n + 1) x xi gradients on a certain equal concentration surface of the multi-primary color dye solution can be obtained;

based on each equal concentration surface, two groups of color dye solutions are sequentially selected from xi color dye solutions of each equal concentration surface and combined with a gray dye solution, and then ternary double coupling color mixing is carried out according to discretization weight, so that a three-dimensional color mixing model containing (tau + 1) x (m + 1) x (n + 1) x xi grid points and a full color domain color spectrum containing (tau + 1) x (m + 1) x (n + 1) x xi gradients of the multi-primary color dye solutions on each equal concentration surface can be obtained.

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:

[Ω _ε (j,δ)] _(n+1)×ξ ＝[Ω _ε (1,δ)Ω(2,δ)...Ω _ε (j,δ)...Ω _ε (n,δ)Ω _ε (n+1,δ)] ^T (16)；

Ω _ε (j, delta) represents the quality of a color mixing sample corresponding to binary coupling color mixing under the concentration of the dye liquor of the epsilon-th grade;

(2) the color mixing ratio matrix of the multi-primary color dye liquor binary coupling color mixing submodel is as follows:

[λ _ε (j,δ)] _(n+1)×ξ ＝[λ _ε (1,δ)λ _ε (2,δ)...λ _ε (j,δ)...λ _ε (n,δ)λ _ε (n+1,δ)] ^T (17)；

λ _ε (j, delta) represents the color mixing ratio of the color mixing sample corresponding to the binary coupling color mixing under the concentration of the dye liquor of the epsilon grade;

(3) the color matrix of the multi-primary color dye liquor binary coupling color mixing submodel is as follows:

[C _ε (j,δ)] _(n+1)×ξ ＝[C _ε (1,δ)C _ε (2,δ)...C _ε (j,δ)...C _ε (n,δ)C _ε (n+1,δ)] ^T (18)；

C _ε and (j, delta) represents the color value of the color mixing sample corresponding to the binary coupling color mixing under the concentration of the dye liquor of the epsilon level.

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:

representing the color mixing ratio of the color mixing sample corresponding to the ternary double coupling color mixing under the concentration of the dye solution of the epsilon level;

(3) the color matrix of the multi-primary color dye liquor ternary double coupling color mixing submodel is as follows:

C _ε and (i, j, delta) represents the color value of the color mixing sample corresponding to the ternary double coupling color mixing under the concentration of the dye liquor of the epsilon level.

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:

as can be seen from equations (12) and (13), for a multi-primary dyeing solution with different concentration planes, there are ξ group ternary double-coupling color mixing submodels corresponding to each concentration plane, each submodel includes (m + 1) × (n + 1) grid points, and then, corresponding to each concentration plane of ∈ =1, 2.,. Tau. +1, xi can be constructed to include ξ two-dimensional submodels, and then, the δ group submodel of the e-th layer includes (m + 1) × (n + 1) 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:

omega (i, j, delta, epsilon) represents the quality of the color mixing sample corresponding to the ternary double coupling color mixing under different levels of dye liquor concentration;

(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 concentrations is as follows:

lambda (i, j, delta, epsilon) represents the color mixing ratio of the color mixing sample corresponding to the ternary double coupling color mixing under different levels of dye liquor concentration;

(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:

c (i, j, delta, epsilon) represents the color value of the color mixing sample corresponding to the ternary double coupling color mixing under different levels of dye liquor concentration.

Then step E is entered.

And E, selecting different color dye solutions to perform binary coupling color mixing in a multi-base color dye solution system with the same level of molar concentration, and if the hue gradient obtained by all the binary coupling color mixing is changed into one-dimensional chromatograms which are sequentially arranged, equivalently, connecting the color matrixes of all the mixed samples end to merge and expand, thereby obtaining the chromatograms 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.

In the same molarity grade, xi kinds of multi-primary color dye liquor of the same molarity grade are selected to form a color matching system, two kinds of dye liquor are sequentially selected from the color matching system to carry out binary coupling color mixing to obtain xi group binary coupling color mixing submodel, xi x (n + 1) color mixing grid points and color mixing sample color values can be obtained by discretization of the weight of the binary dye liquor and carrying out binary coupling color mixing, and a mathematical model for expressing xi kinds of multi-primary color dye liquor binary coupling color mixing modes and chromatograms can be constructed through xi x (n + 1) grid points and color mixing sample color values, and meanwhile, a geometric model for expressing xi kinds of multi-primary color dye liquor binary coupling color mixing sample grid point coordinates and chromatograms can also be constructed.

According to the multi-primary dye liquor binary coupling color mixing sub-model, a one-dimensional full-color phase color mixing model of the multi-primary dye liquor is constructed as follows.

Let μ = (δ -1) × n + j, let Ω (1, μ) = Ω (j), then the quality, the color mixing ratio, and the color of all (n + 1) × ξ binary coupled aliasing samples corresponding to equations (16), (17), (18) are represented as follows by a matrix of 1 row (n × ξ) column:

[Ω _ε (1,μ)] _1×(ξn) ＝[Ω _ε (1,1)Ω _ε (1,2)...Ω _ε (1,μ)...Ω _ε (1,ξ×n-1)Ω _ε (1,ξ×n)] (19)；

[λ _ε (1,μ)] _1×(ξn) ＝[λ _ε (1,1)λ _ε (1,2)...λ _ε (1,μ)...λ _ε (1,ξ×n-1)λ _ε (1,ξ×n)] (20)；

[C _ε (1,μ)] _1×(ξn) ＝[C _ε (1,1)C _ε (1,2)...C _ε (1,μ)...C _ε (1,ξ×n-1)C _ε (1,ξ×n)] (21)；

expanding delta =1, 2.,. Xi-1, xi in the formula (16) (17) (18), and obtaining 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 expressions (19), (20) and (21), the one-dimensional full color gamut color space constructed by xi group binary coupling color mixing of the multi-primary dye liquor comprises xi x m grid points, and the expressions (22), (23) and (24) 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 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 for 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 the mixed samples are connected end to end for merging and expanding, and the chromatograms with the hues and the chroma gradient changes are obtained 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 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;

the xi multi-primary color dye liquor and the gray dye liquor with the same level molarity are selected to form a color matching system, two kinds of dye liquor and gray dye liquor are sequentially selected from the color dye liquor to carry out ternary double coupling color mixing to obtain a xi group ternary double coupling color mixing sub-model, xi x (m + 1) x (n + 1) color mixing grid points and color mixing sample color values can be obtained by discretization of the weight of the ternary dye liquor and the ternary double coupling color mixing, a mathematical model for expressing xi multi-primary color dye liquor ternary double coupling grid point coordinates and color spectrums thereof can be constructed through xi x (m + 1) x (n + 1) grid points and color mixing sample color values, and a geometric model for expressing xi multi-primary color dye liquor ternary double coupling color mixing sample grid point coordinates and color spectrums thereof can be constructed.

Based on the formulas (13), (14) and (15), the xi group ternary double coupling color mixing sub-model of the multi-primary dye liquor contains (m + 1) x (n + 1) grid points under the concentration of each grade dye liquor respectively, the grid points are represented by a matrix of (m + 1) rows and (n + 1) columns, the xi group ternary double coupling color mixing gridding sub-model is spliced and combined in sequence from head to tail corresponding to each row, and the gray dye liquor is obtained

And color dye liquor

Forming a multi-primary color panchromatic domain gridding color mixing model;

let μ = (δ -1) × n + j, then:

T _ε (i,μ)＝Ω _ε (i,j,δ) (30)；

when 1 ≦ μ ≦ m, δ =1,j = μ, and T _ε (i,μ)＝Ω _ε (i,j,1)；

When (m + 1) is more than or equal to mu and less than or equal to 2mδ =2,j = (μ -n), and T _ε (i,μ)＝Ω _ε (i,j,2)；

When (δ -1) × m ≦ μ ≦ δ × m, δ = δ, j = [ μ - (δ -1) × n]And T is _ε (i,μ)＝Ω _ε (i,j,δ)；

When (xi-1) × m ≦ μ ≦ xi × m, δ = xi, j = [ μ - (xi-1) × n]And T is _ε (i,μ)＝Ω _ε (i,j,ξ)；

Integrating all the mixed color samples into a matrix [ T ] _ε (i,μ)] _(m+1)×(δn) And, and:

[T _ε (i,μ)] _(m+1)×(ξn) ＝[T _ε (i,1)T _ε (i,2)...T _ε (i,μ)...T _ε (i,ξ×n)] _(m+1)×(ξn) (31)；

based on the (m + 1) x (n × ξ) color mixing sample obtained by ξ group ternary dye solution double coupling color mixing, a gridding matrix of (m + 1) rows (n × ξ) columns is constructed, so that a full color gamut gridding color mixing model is constructed, and a (m + 1) row (n × ξ) column quality matrix of the full color gamut gridding color mixing model obtained by expanding a formula (27) is as follows, namely the quality matrix of the two-dimensional full color gamut color mixing model of the multi-primary 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:

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:

C _ε (i,μ)＝C _ε (i,j,δ)＝[R(i,j,δ)G(i,j,δ)B(i,j,δ)] (35)；

or:

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.

As can be seen from equation (30), the panchromatic-domain gridding color mixing model constructed by multiple primary colors has a total of (m + 1) × (n × ξ) grid points (mixed samples), and the mixing ratio of the mixed sample dye liquor corresponding to the grid points can be obtained by the coordinates of the grid points. 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 full-color-domain color model and a three-dimensional full-color-domain color spectrum with gradient changes of hue, chroma and lightness are constructed.

Setting the dye liquor concentration of multi-primary dye liquor as epsilon =1,2,.. Tau, tau +1, forming a color matching system corresponding to the concentration by xi color dye liquor and a gray dye liquor on each concentration level surface, sequentially selecting two color dye liquors and one gray dye liquor on each level concentration surface to carry out ternary double coupling color mixing to obtain a xi group ternary double coupling color mixing submodel, and combining the ternary double coupling color mixing submodels of the epsilon-th layer and the delta-th group to obtain a two-dimensional full color domain color mixing model on the concentration surface and containing (m + 1) × (xi × n) grid points. Combining (tau + 1) two-dimensional panchromatic color mixing models on all concentration surfaces to obtain a three-dimensional panchromatic color model constructed by (tau + 1) × (m + 1) × (xi × n) grid points, obtaining color values of the (tau + 1) × (m + 1) × (xi × n) grid points, further constructing a mathematical model and a cylindrical geometric model of multi-primary dye liquor gridding color mixing containing all dye liquor concentrations on the basis, and giving a three-dimensional panchromatic color spectrum with gradient changes of hue, chroma and lightness.

Based on the formula (40), under different levels of dye liquor concentration, delta group ternary double coupling color mixing of the epsilon layer of the multi-primary dye liquor, namely, (tau + 1) multiplied by xi submodels are constructed, each submodel comprises (m + 1) multiplied by (n + 1) grid points, matrix representation of (m + 1) rows and (n + 1) columns of the delta group of the epsilon layer is applied, and the delta group ternary double coupling color mixing gridding submodels of all (tau + 1) layers are spliced and combined in sequence from head to tail corresponding to each row to obtain gray dye liquor

And color dye liquor

Forming a multi-primary color panchromatic domain gridding color mixing model;

let μ = (δ -1) × n + j, then:

T(i,μ,ε)＝Ω(i,j,δ,ε) (43)；

when 1 ≦ μ ≦ m, δ =1,j = μ, and T (i, μ, ∈) = Ω (i, j,1, ∈);

δ =2,j = (μ -n) when (m + 1) ≦ μ ≦ 2m, and T (i, μ, ∈) = Ω (i, j,2, ∈);

δ = δ, j = [ μ - (δ -1) × n ], and T (i, μ, ∈) = Ω (i, j, δ, ∈) when (δ -1) × μ ≦ δ × m;

when (xi-1) × m ≦ μ ≦ xi × m, δ = xi, j = [ μ - (xi-1) × n ], and T (i, μ, ∈) = Ω (i, j, xi, ∈);

the entire mixed color samples are integrated into a matrix [ T (i, μ, ε)] _(m+1)×(δn) The following were used:

[T(i,μ,ε)] _(m+1)×(ξn) ＝[T(i,1,ε)T(i,2,ε)...T(i,μ,ε)...T(i,ξ×n,ε)] _(m+1)×(ξn) (44)；

based on the formula (44), under different levels of dye liquor concentration, a gridding matrix of (tau + 1) (m + 1) (xi × n) columns is built by a (tau + 1) (m + 1) (xi × n) mixed color sample obtained by double coupling and color mixing of the tau layer xi group ternary dye liquor, so that a full color gamut gridding and color mixing model is built, and the formula (44) is developed to obtain a quality matrix of (tau + 1) (m + 1) rows (n × xi) columns of the full color gamut gridding and color mixing model:

corresponding to the formula (44), under different levels of dye liquor concentration, the color mixing ratio matrix of the three-dimensional full color gamut gridding color mixing model is obtained 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:

C(i,μ,ε)＝C(i,j,δ,ε)＝[R(i,j,δ,ε)G(i,j,δ,ε)B(i,j,δ,ε)] (48)；

or:

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 equation (43), the panchromatic-domain gridding color mixture model constructed by multiple primary colors has τ × (m + 1) × (n × ξ) grid points (mixed samples), and the mixing ratio of the mixed sample dye solution corresponding to the grid points can be obtained by the coordinates of the grid points. Thus, expression of hue, lightness, and chroma of all mixed samples (grid points) in the full color gamut is realized by equation (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.

Aiming at the dye liquor concentration of each grade, mixing color samples C are respectively arranged according to xi x (n + 1) grid points _ε The (1, mu) hue angle is arranged in sequence and evenly distributed on the circumference with the radius of 1, and each color value C is set _ε Polar angle θ of grid point of (1, μ) _μ Polar radius S _μ Then each color value C _ε The polar coordinates of the grid points of (1, μ) are:

according to W _δ ＝W _δ+1 Then, the color value C of each grid point is obtained from equations (5) and (6) _ε (1, μ) the following:

that is, based on the expressions (25) and (26), the circular geometric model of the one-dimensional full color gamut color space constructed by the xi group multi-primary dye liquor binary coupling color mixing is obtained, and is composed of xi × m grid points uniformly distributed on a hue circle, and the polar coordinates and the color value of each grid point can be obtained by the expressions (25) and (26).

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 equations (32), (34), and (36), the two-dimensional full-color-gamut color mixture model based on the multi-primary dye liquor is a rectangular color model of one (m + 1) row (n × ξ) column, and the rectangular color model of the (m + 1) row (n × ξ) column expressed by equation (36) is converted into an annular color model by coordinate transformation of the grid points as follows:

setting the radius of the annular color model to be 1, equally dividing (n multiplied by xi) along the circumference with the radius of 1 to obtain (n multiplied by xi) grid points based on the characteristics of the rectangular color model expressed by the formula (36), and drawing a connecting line between the (n multiplied by xi) grid points and the circle center; and then, performing m equal division on the circle radius to obtain (m + 1) grid points, and making concentric circles through the (m + 1) grid points on the circle radius by taking the circle center as the center, thereby obtaining (m + 1) × (n × ξ) grid points, wherein the polar coordinates of each grid point in the annular gridding color model are as follows:

the color value of each grid point in the circular gridding color model is as follows:

C _ε (i,μ)＝C _ε (i,j,δ) (38)；

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 quadrangular prism color model with tau layers (m + 1) rows (n × ξ) columns, and the rectangular color model with the tau layers (m + 1) rows (n × ξ) columns expressed by the formula (49) is converted into a cylindrical color model through coordinate transformation of grid points, which is concretely as follows:

setting the height of a cylinder of a cylindrical color model as 1 and the radius of the cylinder as 1, equally dividing the height of the cylinder 1 into tau based on the characteristics of the quadrangular color model expressed by the formula (49), equally dividing the circumference with the radius of 1 into (n multiplied xi) to obtain (n multiplied xi) grid points, and passing (n multiplied xi) grid points and the tangent plane of the center of the cylinder; then, the radius of the cylinder is divided into m equal parts to obtain (m + 1) grid points, and concentric cylinders are made through the (m + 1) grid points on the radius of the cylinder by taking the center of the cylinder as the center, so that (tau + 1) × (m + 1) × (n × ξ) grid points can be obtained, and the polar coordinates of each grid point in the cylindrical gridding color model are as follows:

the color values at each grid point in the cylindrical gridding color model are:

C(i,μ,ε)＝C(i,j,δ,ε) (51)；

the color mixing ratio of each grid point in the cylindrical gridding color model is as follows:

the designed full-color-domain color model formed by blending the multi-dimensional gridding dye solution and the chromatographic construction method thereof are applied to practice, and the following embodiments are analyzed, wherein in the first embodiment, the one-dimensional full-color phase color-blending model formed by the color six-primary-color dye solution and the full-color phase chromatogram thereof are specifically as follows:

1. a binary coupling color mixing mode of the color six-primary-color dye solution;

adopting a proper dye (one of reactive dye, acid dye, disperse dye and other dyes) to prepare the dye with the weight of W according to a specific molar concentration ₁ ,W ₂ ,W ₃ ,W ₄ ,W ₅ ,W ₆ And taking W as the dyeing liquid ₁ ＝W ₂ ＝W ₃ ＝W ₄ ＝W ₅ ＝W ₆ And (W) = W. Color value of color dye liquor obtained by color measuring instrumentAnd are arranged according to the hue angle in sequence: c ₁ (R ₁ ,G ₁ ,B ₁ ),C ₂ (R ₂ ,G ₂ ,B ₂ ),C ₃ (R ₃ ,G ₃ ,B ₃ ),C ₄ (R ₄ ,G ₄ ,B ₄ ),C ₅ (R ₅ ,G ₅ ,B ₅ ),C ₆ (R ₆ ,G ₆ ,B ₆ ) And the colors differ by Δ θ =360 °/ξ.

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 Ω (j, 1):

for Ω (j, 2):

for Ω (j, 3):

for Ω (j, 4):

for Ω (j, 5):

for Ω (j, 6):

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.

Let μ = δ × j; j =1,2,3,4,5,6,7,8,9; δ =1,2,3,4,5,6. Let Ω (1, μ) = Ω (j, δ). The weight, color mixing ratio and color of all 6 × 9 binary coupled color mixing samples corresponding to the equations 53, 54 and 55 can be expressed by a matrix of 1 row and 48 columns (removing the overlapping samples).

[Ω(1,μ)] _1×(ξn) ＝[Ω(1,1)Ω(1,2)...Ω(1,μ)...Ω(1,47)Ω(1,48)] (63)

[λ(1,μ)] _1×(ξn) ＝[λ(1,1)λ(1,2)...λ(1,μ)...λ(1,47)λ(1,48)] (64)

[C(1,μ)] _1×(ξn) ＝[C(1,1)C(1,2)...C(1,μ)...C(1,47)C(1,48)] (65)

(μ＝1,2,...,ξ×n-1,ξ×n)

If delta =1,2,3,4,5,6 in the formulas (53), (54) and (55) is expanded, a weight matrix, a color mixing ratio matrix and a color matrix of the full color gamut subsample can be obtained:

based on the expressions (56), (57) and (58), the one-dimensional full color gamut color space constructed by 6 groups of binary coupling color mixing of the six-primary-color 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 space constructed based on the multi-primary-color dye liquor binary coupling color mixing is obtained.

4. Constructing a circular geometric model of a full-color domain color space of the color six-primary-color dye solution;

in order to construct a geometric model of grid point coordinates and a color spectrum of a binary coupled mixed sample of a color six-primary color dye solution under the same molar concentration level, mixed samples C (1, mu) (j =1,2,3,4,5,6,7,8; delta =1,2,3,4,5,6 mu = (delta-1) × 8+ j) are sequentially arranged according to the size of a hue angle and are uniformly distributed on a circle with the radius of 2, as shown in FIG. 2.

Let the polar angle θ of the color value C (1, μ) of each grid point _μ Polar radius S _μ Then, the polar coordinates of each grid point C (1, μ) are:

let W _δ ＝W _δ+1 (δ =1,2,3,4,5, 6), the color value of each grid point C (1, μ) is obtained from equation (26):

based on the equation (69 (70), a geometrical model of a one-dimensional full color gamut color space constructed by xi group multi-primary dye liquor binary coupling color mixing can be obtained, the geometrical model is composed of xi multiplied by m grid points which are evenly distributed in a hue circle, and polar coordinates and color values of the grid points can be obtained by the equation (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 dye liquor with three primary colors of color one grey and four primary colors as W _o The color dye liquor is W ₁ ,W ₂ ,W ₃ I =1,2,. 5,6; j =1, 2.., 8,9; δ =1,2,3, and the quality of the three-group ternary dye liquor double-coupling color mixing sample of the four-primary-color dye liquor can be obtained based on the formula (9):

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 Ω (i, j, 1):

for Ω (i, j, 2):

for Ω (i, j, 3):

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 contains 54 grid points, which can be arranged into a matrix of 6 rows and 9 columns, based on 3 sets of ternary dual-coupling 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 δ =1,2,3, a quality matrix [ Ω (i, j, δ) ] of all 6 × 9 color mixture samples of the δ -th group submodel is obtained from equation (9):

(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 δ =1,2,3, a color mixture ratio matrix [ λ (i, j, δ) ] of all 6 × 9 color mixture samples of the δ -th component submodel is obtained from equation (9):

(3) A color matrix of a three-color one-gray four-primary-color dye liquor ternary double coupling color mixing sub-model;

when δ =1,2,3, a color matrix [ C (i, j, δ) ] of all 6 × 9 color mixture samples of the δ -th component sub-model is obtained from equation (9):

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 dye solution with three colors, one gray and four primary colors;

it is known that: i =1,2,. 5,6; j =1, 2.., 8,9; δ =1,2,3, let μ = (δ -1) × 8+ j, let:

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 color 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, the radius of the circle is divided into 5 equal parts to obtain 6 grid points, and the circle center is used as the center to go through the 6 grid points on the radius of the circle to make concentric circles, so that 6 × 24=144 grid points can be obtained, 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 as follows:

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;

setting the grey dye liquor in the six-color one-grey seven-element primary color dye liquor as W _o The color dye liquor is W ₁ ,W ₂ ,W ₃ ,W ₄ ,W ₅ ,W ₆ I =1,2,. 5,6; j =1, 2.., 8,9; δ =1, 2., 5,6, the quality of the ternary dye solution double-coupling color mixture sample of the six-color one-gray seven-primary color dye solution can be obtained based on the formula (3) 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:

for Ω (i, j, 1):

for Ω (i, j, 2):

for Ω (i, j, 3):

for Ω (i, j, 4):

for Ω (i, j, 5):

for Ω (i, j, 6):

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 δ =1,2,3, a quality matrix [ Ω (i, j, δ) ] of all 6 × 9 color mixture samples of the 6-component submodel is obtained from equation (85):

(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 δ =1,2,3, a color mixture ratio matrix [ λ (i, j, δ) ] of all 6 × 9 color mixture samples of the 6-component submodel is obtained from equation (85):

(3) A color matrix of a six-color one-gray seven-primary-color dye liquor ternary double coupling color mixing sub-model;

when δ =1,2,3, a color matrix [ C (i, j, δ) ] of all 6 × 9 color mixture samples of the 6-component submodel is obtained from equation (85):

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: i =1,2,. 5,6; j =1, 2.., 7,8; δ =1, 2., 5,6, let μ = (δ -1) × 8+ j, let:

the grid point quality matrix of the full-color-domain color mixing model of the six-color-one-gray-seven-primary-color dye liquor 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 six-color-one-gray-seven-primary color dye liquor full-color gamut color mixing model based on the formula (77) is 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 equations (91), (92) and (93), the six-color-one-gray-seven-primary-color dye-liquor full-color-domain color mixing model is a rectangular color model with 6 rows and 48 columns, and is visually different from the 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 color model as 1, based on the characteristics of the rectangular color model expressed by the formula (98), dividing the circle with the radius of 1 into 48 equal parts to obtain 48 grid points, and drawing a connecting line between the 48 grid points and the circle center; then, the radius of the circle is divided into 5 equal parts to obtain 6 grid points, and the circle center is used as the center to pass through the 6 grid points on the radius of the circle to make a concentric circle, so that 6 × 48=288 grid points can be obtained, as shown in fig. 4:

(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 liquor is

Setting: i =1,2, 5,6; j =1, 2.., 8,9; δ =1,2,3,4,5,6; epsilon =1,2,3,4,5. 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:

based on the formula (101), the color mixture ratio of the six-color-one-gray-seven-primary color dye liquor ternary dual coupling color mixture sample with five concentration levels can be obtained as follows:

for Ω (i, j,1, ε):

for Ω (i, j,2, ε):

for Ω (i, j,3, ε):

for Ω (i, j,4, ε):

for Ω (i, j,5, ε):

for Ω (i, j,6, ε):

2. constructing a six-color one-gray seven-primary-color dye liquor ternary double coupling color mixing sub-model based on five concentration planes;

as can be seen from equation (96), for 7-primary-color dye solutions of 5 concentration planes, there are 6 sets of ternary dual-coupling color mixing submodels corresponding to each concentration plane, each submodel includes 6 × 9 grid points, and then on each concentration plane corresponding to ∈ =1, 2., 5, a submodel including 6 sets of ternary dual-coupling color mixing submodels may be constructed, and then the submodel of the δ -th layer includes 6 × 9=54 grid 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 δ =1,2,. 5,6; e =1, 2.. 5, a quality matrix [ Ω (i, j, δ, e) ] of all 6 × 9=54 color mixture samples of the submodel of the δ -th group of the e-th layer is obtained from equation (92):

(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 δ =1,2, ·,5,6; e =1, 2.. 5, a color mixing ratio matrix [ λ (δ, i, j, e) ] of all 6 × 9=54 color mixing samples of the δ -th group of submodels of the e-th layer is obtained from equation (93):

(3) A color 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 δ =1,2, ·,5,6; e =1, 2.. 5, a color matrix [ C (i, j, δ, e) ] of all 6 × 9=54 blendstocks of submodels of the δ -th group of the e-th layer is obtained from equation (94):

3. constructing a full-color domain color mixing model of six-color one-gray seven-primary-color dye liquor 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: i =1,2,. 5,6; j =1, 2.., 8; δ =1,2,3,4,5,6; e =1,2,3,4,5; μ = (δ -1) × m + j, 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 grid point color matrix of a six-color one-gray seven-primary color dye liquor full color domain color mixing model 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) Cylindrical color model grid point coordinates;

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, the radius of the cylinder is divided into 5 equal parts to obtain 6 grid points, and the center of the cylinder is used as the center to pass through the 6 grid points on the radius of the cylinder to form concentric cylinders, so that 5 × 6 × (8 × 6) =1440 grid points can be obtained, 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 the grid points are:

(3) grid 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 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 coupled 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, circular geometric models of the full color gamut color space under each mode are respectively constructed; 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

1. A full color domain color model mixed by multi-dimensional gridding dye solution and a chromatogram construction method thereof are characterized by comprising the following steps:

step A, presetting tau +1 levels of dye liquor concentrations which are divided from low to high according to the dye liquor concentration, and configuring preset xi color dyes with the quality of corresponding to each level of dye liquor concentration

The gray dye solutions are sorted according to the hue angle on the basis of the concentration of each grade dye solution and aiming at each color dye solution under the concentration of the grade dye solution; wherein e =1, 2.,. Tau. +1, δ =1, 2.,. Xi,

and with

And then entering the step B;

step B, respectively measuring the quality of each color dye liquor

wherein j =1,2,. Cndot, n, n +1; and the quality of the grey dye liquor

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;

constructing a three-dimensional full-color-domain color mixing model based on the multi-primary-color dye liquor with different levels of dye liquor concentration according to the multi-primary-color dye liquor ternary double-coupling color mixing sub-model based on different levels of dye liquor concentration, and then entering the step F;

2. The full-color-domain color model prepared by blending multi-dimensional gridding dye liquor and the chromatographic construction method thereof according to claim 1 are characterized in that: in the step C, a multi-primary dye liquor color mixing mode with changing hue gradient 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 through the following processing;

aiming at the dye liquor concentration of each grade, two kinds of color dye liquor are sequentially selected from the sequence of the multi-primary color dye liquor represented by the formula (1) to carry out combined color mixing as follows:

representing the discrete mass of the delta +1 color dye under the concentration of the epsilon grade dye liquor;

according to the formula (4) and the color mixing ratio of the color mixing sample corresponding to the binary coupling color mixing under the concentration of the dye liquor of the epsilon grade

The color mixture ratio of each color dye solution in (n + 1) multiplied by xi mixed color samples is obtained as follows:

and according to

The more recent (5) is as follows:

The color mixing ratio of the colored dye liquor of (1),

The color mixture ratio of the colored dye solution;

and the color value of the color mixing sample corresponding to the binary coupling color mixing under the concentration of the dye liquor of the epsilon level is represented.

3. The full-color-domain color model prepared by blending multi-dimensional gridding dye liquor and the chromatographic construction method thereof 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 established 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 according to the following processing;

representing the discrete mass of the delta +1 color dye at the epsilon-th level of dye liquor concentration,

representing the discrete mass of grey dye at the level epsilon dye liquor concentration;

Obtaining the mixed color ratio of each dye solution in (m + 1) × (n + 1) × ξ mixed color samples as follows:

The color mixing ratio of the gray dye liquor,

The color mixture ratio of the colored dye solution;

The color mixing ratio of the colored dye liquor; color value C according to two color dyebaths _δ (R _δ ,R _δ ,B _δ )、C _δ+1 (R _δ+1 ,R _δ+1 ,B _δ+1 ) And color value C of the grey dye liquor _ο (R _ο ,G _ο ,B _ο ) The color values of (m + 1) × (n + 1) × ξ color mixture samples obtained by expression (9) are each as follows:

and representing the color value of the color mixing sample corresponding to the ternary double coupling color mixing under the concentration of the dye liquor of the epsilon level.

4. The full-color-domain color model prepared by blending multi-dimensional gridding dye liquor and the chromatographic construction method thereof according to claim 1 are characterized in that: in the step C, a multi-primary color dye liquor color mixing mode with changing hue, chroma and concentration gradient is constructed based on the multi-primary color dye liquor, 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 are obtained according to the following processing,

denotes the epsilon ₂ Discrete mass of the delta-th color dye at the level dye liquor concentration,

denotes the epsilon ₃ Discrete mass of the delta +1 color dye under the concentration of the level dye liquor;

The color mixing ratio of the gray dye liquor of (1),

The color mixture ratio of the colored dye solution;

The color mixture ratio of the colored dye solution;

color value C according to two color dyeing solutions _δ (R _δ ,R _δ ,B _δ )、C _δ+1 (R _δ+1 ,R _δ+1 ,B _δ+1 ) And color value C of the grey dye liquor _ο (R _ο ,G _ο ,B _ο ) The color values of (τ + 1) × (m + 1) × (n + 1) × ξ color mixtures obtained by formula (13) are respectively as follows:

and the color values of the color mixing samples corresponding to the ternary double coupling color mixing under different levels of dye liquor concentration are represented.

5. The full-color-domain color model prepared by blending multi-dimensional gridding dye liquor and the chromatographic construction method thereof 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:

λ _ε (j, delta) represents the color mixing ratio of the color mixing sample corresponding to the binary coupling color mixing under the concentration of the dye liquor of the epsilon level;

C _ε (j, delta) represents the color value of a color mixing sample corresponding to binary coupling color mixing under the concentration of the dye liquor of the epsilon level;

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:

(2) the color mixing ratio matrix of the multi-primary color dye liquor ternary double coupling color mixing submodel is as follows:

denotes the e.g. thThe color mixing ratio of the color mixing sample corresponding to the ternary double coupling color mixing under the level dye solution concentration;

C _ε (i, j, delta) represents the color value of the color mixing sample corresponding to the ternary double coupling color mixing under the concentration of the dye liquor of the epsilon level;

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:

6. The full-color-domain color model prepared by blending multi-dimensional gridding dye liquor and the chromatographic construction method thereof according to claim 5 are characterized in that: in the step E, 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:

7. The full-color-domain color model mixed with multi-dimensional gridding dye solution and the color spectrum construction method thereof 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:

aiming at each level of dye liquor concentration, mixing color samples C according to xi x (n + 1) grid points _ε The (1, mu) hue angle is arranged in sequence and evenly distributed on the circumference with the radius of 1, and each color value C is set _ε Polar angle θ of grid point of (1, μ) _μ Polar radius S _μ Then each color value C _ε The polar coordinates of the grid points of (1, μ) are:

8. The full-color-domain color model mixed with multi-dimensional gridding dye solution and the color spectrum construction method 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:

And color dye liquor

Forming a multi-primary color panchromatic domain gridding color mixing model;

let μ = (δ -1) × n + j, then:

T _ε (i,μ)＝Ω _ε (i,j,δ) (30)；

when 1 ≦ μ ≦ m, δ =1,j = μ, and T _ε (i,μ)＝Ω _ε (i,j,1)；

When (m + 1) ≦ μ ≦ 2m, δ =2,j = (μ -n), and T _ε (i,μ)＝Ω _ε (i,j,2)；

[T _ε (i,μ)] _(m+1)×(ξn) ＝[T _ε (i,1) T _ε (i,2)...T _ε (i,μ)...T _ε (i,ξ×n)] _(m+1)×(ξn) (31)；

or:

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):

C _ε (i,μ)＝C _ε (i,j,δ)＝[R(i,j,δ) G(i,j,δ) B(i,j,δ)] (35)；

or:

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.

9. The full-color-domain color model mixed with multi-dimensional gridding dye solution and the color spectrum construction method thereof according to claim 8 are characterized in that: in the step F, 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;

setting the radius of the circular color model as 1, based on the characteristics of the rectangular color model expressed by formula (36), equally dividing (n multiplied by xi) along the circumference with the radius of 1 to obtain (n multiplied by xi) grid points, and drawing a connecting line between the (n multiplied by xi) grid points and the center of a circle; and then, performing m equal division on the circle radius to obtain (m + 1) grid points, and making concentric circles through the (m + 1) grid points on the circle radius by taking the circle center as the center, thereby obtaining (m + 1) × (n × ξ) grid points, wherein the polar coordinates of each grid point in the annular gridding color model are as follows:

C _ε (i,μ)＝C _ε (i,j,δ) (38)；

10. the full-color-domain color model mixed with multi-dimensional gridding dye solution and the color spectrum construction method 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:

And a colored dye liquor

Forming a multi-primary color panchromatic domain gridding color mixing model;

let μ = (δ -1) × n + j, then:

T(i,μ,ε)＝Ω(i,j,δ,ε) (43)；

when 1 ≦ μ ≦ m, δ =1,j = μ, and T (i, μ, ∈) = Ω (i, j,1, ∈);

when (ξ -1) × m ≦ μ ≦ ξ × m, δ = ξ, j = [ μ - (ξ -1) × n ], and T (i, μ, ∈) = Ω (i, j, ξ, ∈);

the entire mixed color samples are integrated into a matrix [ T (i, mu, epsilon)] _(m+1)×(δn) The following were used:

[T(i,μ,ε)] _(m+1)×(ξn) ＝[T(i,1,ε) T(i,2,ε)...T(i,μ,ε)...T(i,ξ×n,ε)] _(m+1)×(ξn) (44)；

based on the formula (44), under different levels of dye liquor concentration, a gridding matrix of (tau + 1) (m + 1) (xi x n) columns and (tau + 1) (m + 1) rows (n x xi) is constructed by a mixed color sample obtained by double coupling and color mixing of the tau layer and xi group of three-element dye liquor, so that a full color gamut gridding mixed color model is constructed, and the formula (44) is expanded to obtain a quality matrix of (tau + 1) (m + 1) rows (n x xi) columns of the full color gamut gridding mixed color model:

or:

C(i,μ,ε)＝C(i,j,δ,ε)＝[R(i,j,δ,ε) G(i,j,δ,ε) B(i,j,δ,ε)] (48)；

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 prepared by blending multi-dimensional gridding dye liquor and the chromatographic construction method thereof 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:

setting the height of a cylinder of a cylindrical color model as 1 and the radius of the cylinder as 1, equally dividing the height of the cylinder 1 into tau on the basis of the characteristics of the quadrangular color model expressed by the formula (49), equally dividing a circumference with the radius of 1 into (n multiplied by xi) to obtain (n multiplied by xi) grid points, and passing the (n multiplied by xi) grid points and a tangent plane of the center of the cylinder; then, the radius of the cylinder is divided into m equal parts to obtain (m + 1) grid points, and concentric cylinders are made through the (m + 1) grid points on the radius of the cylinder by taking the center of the cylinder as the center, so that (tau + 1) × (m + 1) × (n × ξ) grid points can be obtained, and 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:

C(i,μ,ε)＝C(i,j,δ,ε) (51)；