CN115115717B

CN115115717B - 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

Info

Publication number: CN115115717B
Application number: CN202210599498.2A
Authority: CN
Inventors: 曹欣羊; 薛元; 汪森军; 谌启鑫; 赵江峰; 章军
Original assignee: Zhejiang Huaxin Advanced Materials Co ltd
Current assignee: Zhejiang Huaxin Advanced Materials Co ltd
Priority date: 2022-05-30
Filing date: 2022-05-30
Publication date: 2024-04-30
Anticipated expiration: 2042-05-30
Also published as: CN115115717A

Abstract

The invention relates to a color matching method of a three-dimensional gridding compound three-dimensional color and a full color domain of seven-primary color polyester constructed based on gradient gray values, which comprises the steps of firstly constructing a two-dimensional gridding compound system of the seven-primary color polyester based on six-primary color gray balance; secondly, constructing a full-color domain color solid of three-dimensional gridding mixed colors of 119 grid points of 17 groups of seven-primary color polyester based on serialized equal-height gray level surfaces divided by gradient increasing gray level values, correlating gray level values on all equal-height gray level surfaces in the color solid with the concentration of seven-primary color polyester dye and the color value of polyester on corresponding equal-height gray level surfaces, and constructing a full-color domain color solid capable of regulating and controlling the gray level, hue and chroma of the seven-primary color polyester in the full-color domain range; then constructing a visual color spectrum of 17 equal-height gray level planes, 60 equal-angle color phase planes and 10 equal-radius color level planes based on 119 grid points of the full-color-gamut color solid; finally, a method for obtaining the proportion of the seven-primary-color polyester, the dye concentration and the dye weight based on the color value of the polyester sample is provided; the whole design method can provide big data to carry out color prediction and color innovation design of polyester color matching, and the intellectualization of color design and application is realized.

Description

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

Technical Field

The invention relates to a color matching method for a three-dimensional mesh mixed three-dimensional color of seven-primary-color polyester and a full color domain based on gradient gray value construction, belonging to the technical field of color regulation in textile industry.

Background

The color includes three dimensions of hue, brightness and chroma, and the full color gamut of the color is determined by a color space defined by hue angles ranging from 0 degrees to 360 degrees, brightness ranging from 0 degrees to 1 degrees and chroma ranging from 0 degrees to 1 degrees. The full color range color control means that the ratio of the multiple primary colors is controlled, and the three dimensions of hue, brightness, chroma and the like are controlled within the full color range, so that the hue angle is changed within the range of 0-360 degrees, the brightness is changed within the range of 0-1, and the chroma is changed within the range of 0-1. This method of color modulation is known as the full-gamut modulation method of color.

In the process of color matching, color matching and dyeing of textiles, the colors are required to be regulated and controlled from three dimensions of hue, brightness and saturation, and two groups of adjacent colors in a hue loop are generally utilized for color mixing so as to regulate and control the hue change of the colors; utilizing a set of colors and a set of achromatic colors to mix colors so as to regulate brightness variation of the colors; and more than two groups of adjacent colors and one group of achromatic color are utilized to regulate and control the chroma change of the colors. In order to obtain a relatively wide control range of hue, brightness and chroma, at least three kinds of color polyesters (the hue difference is controlled to be about 120 °) and at least one kind of achromatic polyester (white, gray and black) are required as the base polyester for color mixing.

In the color matching process of polyester, the popular trend is required to be mastered, the color innovation design is carried out based on the market demand, and the serialization colors are deduced; secondly, a full-color domain regulation system of a polyester color model and the color thereof is required to be constructed, and the corresponding relation between parameters such as hue, brightness, chroma and the like of the polyester and parameters such as mixing ratio, dye concentration, dye counterweight and the like of the seven-primary-color polyester is clearly configured, so that the quick design and quick color matching of the color are realized, and quick and accurate color matching is facilitated. At present, the following problems mainly exist:

1. the color matching of polyester lacks a mathematical model, and cannot provide big data to carry out color innovation and color prediction;

2. The working mode of polyester color is configured based on experience, so that the defects of long period, low efficiency, unstable working quality and the like are overcome, and the polyester color is influenced by subjective factors;

3. In the field of polyester color matching, the fragmentation phenomenon is serious, and a full-color-gamut color matching system and related digital design theory are required to be established so as to realize the intellectualization of color design and application.

Disclosure of Invention

The technical problem to be solved by the invention is to provide a color matching method for a three-dimensional mesh mixed three-dimensional color of seven-primary-color polyester and a full color range based on gradient gray value construction, and the color design and application intellectualization can be realized by adopting a brand new color mixed design strategy.

The invention adopts the following technical scheme for solving the technical problems: the invention designs a color matching method for a three-dimensional mesh mixed three-dimensional color of a seven-primary-color polyester and a full color domain, which is constructed based on gradient gray values, and comprises the following steps:

Step A, respectively preparing six-primary color polyesters omega _α、ω_ε、ω_β、ω_θ、ω_γ、ω_μ with the mass omega by using dyes alpha, epsilon, beta, theta, gamma and mu with hue angles of 60 degrees, regulating the dye concentration to ensure that the six-primary color polyesters are equally mixed to obtain achromatic gray polyester omega _o with RGB color value (128,128,128), gray value D _o (9) =50 and mass omega, forming seven-primary color polyester containing the six-primary color polyesters and the achromatic gray polyester, obtaining the dye concentration, the color value and the dye balance of the six-primary color polyesters reaching gray balance, and then entering the step B;

B, constructing a gridding mixing mode of seven-primary color polyester on a reference gray level of D _o (9) =50 based on the seven-primary color polyester, constructing a six-group ternary dual-coupling color mixing combination on the gray level, namely a seven-primary color ternary dual-coupling color mixing mode on the gray level, based on a preset reference discrete number corresponding to the quality of the polyester, by combining two adjacent primary color polyesters corresponding to two color dyes with hue angles of 60 degrees in the seven-primary color polyester with achromatic gray polyester, constructing a two-dimensional gridding mixing system of the seven-primary color polyester on the gray level, and obtaining a mixing ratio, a color value, a dye concentration and a dye weight of the seven-primary color polyester on the gray level, and then entering the step C;

Dividing 17 gray levels at equal intervals from light to dark on the basis of gray polyester gray values to obtain gray values corresponding to the 17 gray levels respectively, obtaining gray polyester dye concentrations lambda _o (delta) of the 17 gray levels corresponding to low-concentration gray polyester dye concentrations lambda _o (delta) and color values C _o (delta) of the gray polyester dye concentrations lambda, according to a preset test, correlating the gray values on the gray level surfaces of all the levels with the polyester dye concentrations and polyester color values of seven primary colors on the gray level surfaces of the corresponding levels on the basis of data fitting, further obtaining six primary color polyester dye concentrations lambda _α(δ)、λ_ε(δ)、λ_β(δ)、λ_θ(δ)、λ_γ(δ)、λ_μ (delta) and color values C _α(δ)、C_ε(δ)、C_β(δ)、C_θ(δ)、C_γ(δ)、C_μ (delta) of the gray polyester dye concentrations lambda corresponding to the 17 gray levels respectively, and then entering step D; delta represents gray scale;

Step D, based on the dye concentration and the color value of the seven-primary color polyester corresponding to the 17 gray levels respectively, constructing 17 gray levels by combining the seven-primary color ternary dual coupling color mixing mode, further obtaining the mixing ratio, the color value and the dye balance weight of the seven-primary color polyester on the 17 gray levels, and then entering the step E;

E, forming a full-color phase gridding mixed color model through six groups of ternary dual-coupling mixed color combinations on each gray level surface, constructing a full-color domain color solid of three-dimensional gridding mixed color formed by 119 grid points in total of 17 groups of seven-primary color polyester on the basis of serial equal-height gray level surfaces of gray value increasing gradient division, correlating gray values on each equal-height gray level surface in the full-color domain color solid with the concentration of the seven-primary color polyester dye and the color value of the polyester on the corresponding equal-height gray level surface, further obtaining coordinates, color values, mixing ratio of the seven-primary color polyester and dye balance weight of the grid points in the full-color domain gridding color solid, and then entering the step F;

And F, constructing a cylindrical full-color-domain gridding color-solid according to a mode that lines on each gray-level surface are twisted into concentric circles, and constructing an equal-height gray-level-surface visual chromatograph, an equal-radius chroma-surface visual chromatograph and an equal-angle chroma-surface visual chromatograph of the full-color-domain gridding color-solid according to the three-dimensional polar coordinates of grid points.

Compared with the prior art, the color matching method for the three-dimensional mesh mixing three-dimensional color of the seven-primary-color polyester and the full color domain based on the gradient gray value has the following technical effects:

The invention designs a color matching method of a three-dimensional gridding compound three-dimensional color and a full color domain of seven-primary-color polyester based on gradient gray value construction, which comprises the steps of firstly constructing a two-dimensional gridding compound system of the seven-primary-color polyester based on six-primary-color gray balance; secondly, constructing a full-color domain color solid of three-dimensional gridding mixed colors of 119 grid points of 17 groups of seven-primary color polyester based on serialized equal-height gray level surfaces divided by gradient increasing gray level values, correlating gray level values on each equal-height gray level surface in the color solid with the concentration of the seven-primary color polyester dye and the color value of the polyester on the corresponding equal-height gray level surface, and constructing the full-color domain color solid capable of regulating and controlling the gray level, the hue and the chroma of the seven-primary color polyester in the full-color domain range; then constructing a visual color spectrum of 17 equal-height gray level planes, 60 equal-angle color phase planes and 10 equal-radius color level planes based on 119 grid points of the full-color-gamut color solid; finally, a method for obtaining the proportion of the seven-primary-color polyester, the dye concentration and the dye weight based on the color value of the polyester sample is provided; the whole design method can provide big data to carry out color prediction and color innovation design of polyester color matching, and the intellectualization of color design and application is realized.

Drawings

FIG. 1 is a schematic flow chart of a color matching method of a three-dimensional gridding type mixed three-dimensional color of a seven-primary color polyester and a full color domain, which are constructed based on gradient gray values and designed by the invention;

FIG. 2 shows a distribution diagram of seven primary colors in a design of the present invention;

FIGS. 3a and 3b are graphs showing the gray polyester dye concentration versus gray scale in the design of the invention;

FIG. 4 shows a full-color phase gridded color mixing model schematic;

FIG. 5 shows a full-gamut gridding perspective;

FIG. 6 shows a perspective view of a cylindrical full gamut gridding;

FIG. 7 is a schematic diagram of a serialized seven-primary polyester (master batch) with equal chroma and different hues;

FIG. 8 shows a schematic diagram of a serialized seven-primary polyester (master batch) with equal hue and different chroma;

FIG. 9 shows a schematic diagram of an isochromatic surface meshing model.

Detailed Description

The following describes the embodiments of the present invention in further detail with reference to the drawings.

The invention designs a color matching method for a three-dimensional gridding three-dimensional color mixture and a full color domain of seven-primary color polyester based on gradient gray value, which comprises the following steps of firstly, inventing a two-dimensional gridding two-dimensional color mixture system of the seven-primary color polyester based on gray balance, wherein the characteristics of the two-dimensional color mixture system of the seven-primary color polyester are as follows: the color polyester omega _α,ω_ε,ω_β,ω_θ,ω_γ,ω_μ with the 60-degree hue angle matching color and the color polyester with the six primary colors is used as a reference, the color polyester with the six primary colors is mixed in equal quantity based on the gray value 50 (RGB 128,128,128), the mixed polyester is regulated and controlled to reach gray balance (gray value 50) by changing the dye concentration of the color polyester with the six primary colors, and the obtained color polyester with the six primary colors with the gray balance is mixed in equal quantity to obtain the gray polyester omega _o, so that a seven-primary color polyester mixed system containing the six primary colors and gray is constructed.

Constructing a ternary dual-coupling blending mode, combining the gray-balanced seven-primary-color polyester into six ternary dual-coupling blending sub-models, and then assembling the six blending sub-models into a full-color two-dimensional color mixing model (rectangular or circular) to realize the gridding blending of the seven-primary-color polyester; the mixing ratio of the seven-primary color polyester can be obtained through a full-color phase color mixing model, and the color phase adjustment and the chroma adjustment between 0 and 360 degrees and between 0 and 1 are realized for the color mixing of the seven-primary color polyester through adjusting the mixing ratio.

And then realizing three-dimensional full-color gamut color and space based on a seven-primary color mixing system with different gray scales, wherein the color and space is characterized in that: the color solid comprises three dimensions, the polar angle of the three-dimensional color solid is used for representing hue, the polar radius is used for representing chroma, the height is used for representing gray level, and the color gamut range of the three-dimensional full-color gamut color solid is as follows: hue is 0-360 degrees, chroma is 0-1, and gray scale is 2-98.

Dividing the 360 full-color domain polar angle division 30 of the three-dimensional color volume equally, dividing the polar radius division 10 equally, dividing 17 equally from the light gray level surface, the reference gray level surface and the deep gray level surface, thereby obtaining 660×17=11220 grid points, and using the three-dimensional polar coordinate value on each grid point: the polar angle, polar radius, hue corresponding to the height, chroma and gray value represent the color value of the grid point, the mixing ratio of the seven-primary polyester and the dye balance weight.

In the seven-primary color mixed system, gray polyester is used as a reference, a gray level with a gray value equal to 50 is used as a reference gray level, a gray level with a gray value equal to 2 is used as a light gray level, and a gray level with a gray value equal to 98 is used as a dark gray level; and planning 17 gray levels by taking the gray level 6 as an increasing and decreasing gradient.

Selecting a gray polyester dye concentration variation range according to a gray value range of the planned 17 gray surfaces, performing proofing through gradient variation of the gray polyester dye concentration and testing a color value of the proofing, and acquiring a functional relation between the gray polyester dye concentration and the gray value or a functional relation between the gray polyester gray value and the dye concentration by adopting a curve fitting method; according to the function formula obtained by fitting, the gray value on each equal-height gray level in the color space is related to the concentration of the seven-primary-color polyester dye and the polyester color value on the corresponding equal-height gray level, and the corresponding gray polyester dye concentration can be obtained by calculation based on the gray value, and the corresponding gray value can be obtained by calculation based on the gray polyester dye concentration.

Based on the dye concentration of each gray polyester on 17 gray levels of the full-color gamut and the ratio of the dye concentrations of the seven-primary-color polyesters in gray balance, the specific dye concentrations (119 total) of the seven-primary-color polyesters on each equal-height gray level can be obtained.

Based on specific dye concentration of the seven-primary color polyester on each equal-height gray level of the full-color gamut color solid, proofing to obtain a seven-primary color polyester sample on each equal-height gray level, and obtaining color values of the seven-primary color polyester on each equal-height gray level by a spectrocolorimeter; based on the planned gray level and the planned seven-primary-color gridding mixing mode of each equal-height gray level, a full-color domain color solid comprising 660 x 17 = 11220 grid points can be constructed, parameters such as color values, concentration values and seven-primary-color polyester mixing ratio of each grid point, three-dimensional polar coordinates (respectively representing polar angles by hue, radius by chroma and height by gray level) of each grid point and the like are used for expressing the color solid in the full-color domain range, and hue regulation and control between 0 and 360 degrees, chroma regulation and control between 0 and 1 and gray regulation and control between 2 and 98 are realized for the color mixing of the seven-primary-color polyester.

Then, based on the method of regulating and controlling the gray scale, hue and chroma of the seven-primary-color polyester in the full-color domain range of the gridding mixed three-dimensional color, based on the constructed full-color domain color three-dimensional mixed by the seven-primary-color polyester, acquiring the color values of total 17 groups of 119 primary-color polyester on each equal-height gray level surface by taking the gray value corresponding to the 17 gray level surfaces as a reference; on each gray level, based on a seven-primary-color polyester gridding mixed system, the color phase of the mixed polyester is regulated and controlled to be changed within the range of 0-360 degrees and the chroma is regulated and controlled to be changed within the range of 0-1 by the change of the mixing ratio of the six-primary-color polyester on 660 grid points on each equal-height gray level; the gray value change of the seven-primary color polyester on 17 gray levels is regulated and controlled through the corresponding change of the six-primary color polyester dye concentration on 17 different gray levels, so that the gray value change of 660 grid points on each gray level is regulated and controlled within the range of 2-98; and the regulation and control of the gray scale, the hue and the chroma of 660×17=11220 grid points in the color three-dimensional body in the full-color domain range are realized based on the regulation and control means.

And then constructing a full-color gamut color stereoscopic visual color spectrum from three dimensions of the equal-height gray level surface, the equal-angle color phase surface and the equal-radius color saturation surface based on the gridding matrix chromatogram of the full-color gamut color stereoscopic constructed by the equal-height gray level surface, the equal-angle color phase surface and the equal-radius color saturation surface.

According to the value delta=1, 2, … and 17 in the height z (j ₁, ζ and delta) of the full-color-gamut color-stereoscopic body, the color-stereoscopic body is divided into 17 equal-height gray-scale surfaces, and the equal-height gray-scale surface chromatographic matrix is planned through coordinates on the 17 equal-height gray-scale surfaces, so that the visualization of the equal-height gray-scale surface chromatogram of the full-color-gamut color-stereoscopic body is realized.

According to the value zeta=1, 2, …,60 in the polar angle coordinates theta (j ₁, zeta, delta) of the full-color-gamut body, dividing the color-gamut body into 60 equiangular color-phase surfaces, and planning an equiangular color-phase surface chromatographic matrix through coordinates on the 60 equiangular color-phase surfaces, thereby realizing the visualization of the equiangular color-phase surface chromatograph of the full-color-gamut body.

According to the value j ₁ =1, 2, …,11 in the polar radius rho (j ₁, ζ, delta) of the full-color-gamut body, dividing the color-gamut body into 11 equal-radius color-gamut surfaces, and planning an equal-radius color-gamut surface chromatographic matrix through coordinates on the 11 equal-radius color-gamut surfaces, thereby realizing the visualization of the equal-radius color-gamut surface chromatogram of the full-color-gamut body.

Further, based on the constructed full-color gamut color stereoscopic body, the seven-primary color polyesters are divided into 17 grades according to gray values, seven-primary color polyesters are configured for each gray level, 660 polyesters with different colors can be obtained based on gridding and mixing of the seven-primary color polyesters, 17 gray level total polyester with 660×17=11220 colors can be obtained on the 17 gray levels, and the full-color gamut color stereoscopic body is formed based on the colors of the 660×17=11220 polyesters.

Finally, the method for obtaining the seven-primary color polyester blending ratio of the sample with the known color value based on the constructed full-color domain color stereo is used for obtaining the seven-primary color polyester blending ratio of the sample according to the known color value of the sample by a method for searching the color value of the full-color domain color stereo. Knowing that the sample color value is C (H, S, L), the nearest search is performed on H, S, L in the grid point color values of the full-color domain color solids, respectively, to obtain H (₁,ζ^*,δ)≤H*≤H(j₁,ζ^* +1, δ) simultaneously,D (₁,ζ,δ^*)≤D*≤D(j₁,ζ,δ^* +1), and locating the grid point coordinate positions of the known sample color values C (H, S, L) according to the coordinate positions of the 8 grid points in the full-color domain color solid, and performing case-by-case discussion according to the relative position proportion of the coordinate positions of the known sample color and the 8 grid point colors, wherein the coordinate positions of the known sample color are expressed more precisely, and finally substituting the coordinate of the known sample color into the seven-primary color polyester mixing ratio formula to obtain the seven-primary color polyester formula of the known sample color in the full-color domain color solid.

The invention designs a method for constructing a three-dimensional gridding compound three-dimensional color space of a seven-primary color polyester and a full-color domain color mixing method based on gradient gray values. The method comprises the steps of obtaining six primary color dyes with hue difference of 60 degrees through optimization of the dyes, obtaining dye concentration ratio and color value of six primary color polyesters with gray balance through sampling through adjustment of dye concentration of the six primary color polyesters, establishing a seven primary color polyester mixed system formed by the six primary color polyesters and gray polyesters mixed by the six primary color polyesters, and constructing 6 ternary double coupling mixed gamete models through mass dispersion of the seven primary color polyesters to form a gray level. Planning 17 equal-height gray levels at equal gray intervals based on gray values of gray polyester, performing proofing through gradient change of gray polyester dye concentration, testing to obtain a pre-test of corresponding color values, obtaining a functional relation between gray polyester dye concentration and gray values, calculating to obtain corresponding gray polyester dye concentration based on gray values, calculating corresponding seven-primary polyester dye concentration on the 17 equal-height gray levels according to the ratio of the seven-primary polyester dye concentration in gray balance, and performing proofing to obtain the color values. And constructing a full-color-domain gridding color stereoscopic body containing three-dimensional polar coordinate values, color values, mixing ratios and dye weights of grid points based on the seven-primary polyester dye concentration, color values and the seven-primary full-color-mixing model on 17 gray levels. And a full-color gamut color stereoscopic visual color spectrum is constructed through the equal-height gray level surface, the equal-radius color level surface and the equal-angle color phase surface. The sample colors can be searched and positioned according to the full-color-domain gridding color stereo, and the formula of the grid point with the minimum distance is output through the calculation of the distance, so that the sample colors are mixed.

The invention discloses a color matching method for a three-dimensional mesh-type mixed three-dimensional color of a seven-primary-color polyester and a full color domain, which is constructed based on gradient gray values, and the method is shown in fig. 1 and is implemented as follows.

According to the principle of color matching of the six-primary color dye, the hue, brightness and chroma of the mixed polyester are expected to be regulated and controlled by the mixing ratio change of the six-primary color polyester, if the six-primary color polyester is mixed in equal proportion and a standard gray polyester system cannot be obtained, the color value of the mixed polyester can be regulated and controlled by the color value of the standard gray and the dye concentration of the six-primary color polyester can be mutually matched so that the color value of the mixed polyester meets the requirement of the standard gray. And obtaining the six-primary color polyester with matched concentration through the gray balance, and constructing a seven-primary color polyester color matching system to regulate and control the color of the polyester color matching.

In order to make the color gamut of the actual mixture as large as possible, after a large number of experimental screening, the dyes alpha, epsilon, beta, theta, gamma and mu with hue angles of 60 degrees are selected to respectively prepare six primary color polyesters omega _α、ω_ε、ω_β、ω_θ、ω_γ、ω_μ with the mass of omega, and the following three modes are adopted:

The dye concentration is adjusted to mix the six primary color polyesters in equal amounts to obtain gray polyester omega _o with RGB color value (128,128,128), gray value D _o (9) =50 and mass omega, to form seven primary color polyester containing six primary color polyester and achromatic gray polyester, and to obtain the dye concentration, color value and dye weight of the six primary color polyester reaching gray balance, and then step B is entered.

The dye concentrations of the six primary color polyesters at the gray balance are respectively as follows: The distribution of RGB color values C_α(R_α,G_α,B_α),C_ε(R_ε,G_ε,B_ε),C_β(R_β,G_β,B_β),C_θ(R_θ,G_θ,B_θ),C_γ(R_γ,G_γ,B_γ),C_μ(R_μ,G_μ,B_μ),C_o(R_o,G_o,B_o), in hue circle measured by a color measuring instrument is shown in figure 2, six primary color polyester omega _α,ω_ε,ω_β,ω_θ,ω_γ,ω_μω_γ and gray polyester omega _o with balanced gray scale are called seven primary color polyester, and the seven primary color polyester is used as the basis for preparing the seven primary color polyester to construct a seven primary color polyester mixed system.

And B, constructing a gridding mixing mode of the seven-primary-color polyester on a reference gray level of D _o (9) =50 based on the seven-primary-color polyester, constructing a six-group ternary dual-coupling color mixing combination on the gray level, namely a seven-primary-color ternary dual-coupling color mixing mode on the gray level, based on a preset reference discrete number corresponding to the quality of the polyester, by combining two adjacent primary-color polyesters corresponding to two color dyes with hue angles of 60 degrees different from the achromatic gray polyester in the seven-primary-color polyester, constructing a two-dimensional gridding mixing system of the seven-primary-color polyester on the gray level, and obtaining the mixing ratio, the color value, the dye concentration and the dye weight of the seven-primary-color polyester on the gray level, and then entering the step C.

In practical applications, the step B includes the following steps B1 to B5.

Based on the seven-primary color polyester on the basic gray level, based on the preset basic discrete number corresponding to the quality of the polyester, the combination of the primary color polyester and the gray polyester corresponding to the two dyes with the hue angle of 60 degrees in the seven-primary color polyester forms six groups of ternary dual-coupling color mixing combinations on the gray level, wherein the quality ω_oεα(j₁,j₂,j₃)、ω_oβε(j₁,j₂,j₃)、ω_oθβ(j₁,j₂,j₃)、ω_oγθ(j₁,j₂,j₃)、ω_oμγ(j₁,j₂,j₃)、ω_oαμ(j₁,j₂,j₃) of the six groups of ternary dual-coupling color mixing combinations on the gray level is as follows:

Wherein: j ₁,j₂,j₃＝1,2,3,…,10,11,ω_α denotes the mass of the primary polyester of which the dye α corresponds to the mass ω, ω _β denotes the mass of the primary polyester of which the dye β corresponds to the mass ω, ω _γ denotes the mass of the primary polyester of which the dye γ corresponds to the mass ω, ω _ε denotes the mass of the primary polyester of which the dye ε corresponds to the mass ω, ω _θ denotes the mass of the primary polyester of which the dye θ corresponds to the mass ω, ω _μ denotes the mass of the primary polyester of which the dye μ corresponds to the mass ω, ω _o denotes the mass of the gray polyester of which the mass ω, and then step B2 is entered.

Step b2. According to ω _α＝ω_β＝ω_γ＝ω_ε＝ω_θ＝ω_μ＝ω_o =ω, sum

ω_oεα(j₁,j₂,j₃)＝ω_oβε(j₁,j₂,j₃)＝ω_oθβ(j₁,j₂,j₃)＝ω_oγθ(j₁,j₂,j₃)＝ω_oμγ(j₁,j₂,j₃)＝ω_oαμ(j₁,j₂,j₃)＝ω, The following formula (3) is obtained in combination with the dual-coupled color mixing definition:

j₃＝12-j₂ (3)

and bringing formula (3) into formula (2), obtaining formula (4) as follows, and then proceeding to step B3;

The mode of double coupling color mixing between two adjacent primary color polyesters corresponding to two color dyes with 60-degree phase angle difference and 1 achromatic gray polyester selected from the seven primary color polyesters is reflected, and the change of the hue and the chroma of the polyester is further regulated and controlled through the coupling change of the parameters j ₁ and the parameters j ₂ related to the chroma.

When j ₁ =1, the color mixing samples can be respectively regulated and controlled by the change of j ₂: omega _oεα(j₁,j₂) to effect a hue change between color C _α and color C _ε, omega _oβε(j₁,j₂) to effect a hue change between color C _ε and color C _β, omega _oθβ(j₁,j₂) to effect a hue change between color C _β and color C _θ, omega _oγθ(j₁,j₂) to effect a hue change between color C _θ and color C _γ, omega _oμγ(j₁,j₂) to effect a hue change between color C _γ and color C _μ, omega _oαμ(j₁,j₂) to effect a hue change between color C _μ and color C _α.

When j ₂ =1, the color mixing samples can be respectively regulated and controlled by the change of j ₁: omega _oεα(j₁,j₂) to achieve a chroma change between color C _α and color C ₀, omega _oβε(j₁,j₂) to achieve a chroma change between color C _ε and color C ₀; omega _oθβ(j₁,j₂) effecting a change in chroma between color C _β and color C _o, omega _oγθ(j₁,j₂) effecting a change in chroma between color C _θ and color C ₀, omega _oμγ(j₁,j₂) effecting a change in chroma between color C _γ and color C ₀, omega _oαμ(j₁,j₂) effecting a change in chroma between color C _μ and color C _o.

When j ₁,j₂ =1, 2,3, …,10,11, the mixed sample is ω_oεα(j₁,j₂),ω_oβε(j₁,j₂),ω_oθβ(j₁,j₂),ω_oγθ(j₁,j₂),ω_oμγ(j₁,j₂),ω_oαμ(j₁,j₂), to realize the change of hue and chroma.

From the above analysis, j ₁ is a variable for controlling chroma and j ₂ is a variable for controlling hue among ω_oεα(j₁,j₂),ω_oβε(j₁,j₂),ω_oθβ(j₁,j₂),ω_oγθ(j₁,j₂),ω_oμγ(j₁,j₂),ω_oαμ(j₁,j₂) six color matching sub-models.

B3 obtaining the mass mixing ratio of the seven-primary color polyester omega _α、ω_ε、ω_β、ω_θ、ω_γ、ω_μ、ω_o in the six-group ternary dual coupling mixed color combination on the reference gray level according to the formula (4)The following are provided:

for ω _oεα(j₁,j₂):

for ω _oβε(j₁,j₂):

for ω _oθβ(j₁,j₂):

For ω _oγθ(j₁,j₂):

for ω _oμγ(j₁,j₂):

for ω _oαμ(j₁,j₂):

and then proceeds to step B4.

Step B4., according to formulas (5) - (10), the color value C(j₁,j₂)＝[C_r(j₁,j₂) C_g(j₁,j₂) C_b(j₁,j₂)]^T of the seven-primary color polyester omega _o、ω_α、ω_ε、ω_β、ω_θ、ω_γ、ω_μ on the reference gray level is obtained by combining the color values C_o(R_o,G_o,B_o)C_α(R_α,G_α,B_α)、C_ε(R_ε,G_ε,B_ε)、C_β(R_β,G_β,B_β)、C_θ(R_θ,G_θ,B_θ)、C_γ(R_γ,G_γ,B_γ)、C_μ(R_μ,G_μ,B_μ), of the seven-primary color polyester omega _o、ω_α、ω_ε、ω_β、ω_θ、ω_γ、ω_μ on the reference gray level, as shown in formula (12), and then step B5 is performed.

Step B5. according to formulas (5) - (10), combining the mass mixing ratio of the seven-primary color polyester omega _α、ω_ε、ω_β、ω_θ、ω_γ、ω_μ、ω_o on the reference gray levelThe dye weights ω_o(j₁,j₂),ω_α(j₁,j₂),ω_ε(j₁,j₂),ω_β(j₁,j₂),ω_θ(j₁,j₂),ω_γ(j₁,j₂),ω_μ(j₁,j₂) to obtain the seven-primary ternary dual-coupling seven-primary polyester are as follows as shown in formula (13):

Dividing 17 gray levels at equal intervals from light to dark on the basis of gray polyester gray values to obtain gray values corresponding to the 17 gray levels respectively, obtaining gray polyester dye concentrations lambda _o (delta) of the 17 gray levels corresponding to low-concentration gray polyester dye concentrations lambda _o (delta) and color values C _o (delta) of the gray polyester dye concentrations lambda, according to a preset test, correlating the gray values on the gray level surfaces of all the levels with the polyester dye concentrations and polyester color values of seven primary colors on the gray level surfaces of the corresponding levels on the basis of data fitting, further obtaining six primary color polyester dye concentrations lambda _α(δ)、λ_ε(δ)、λ_β(δ)、λ_θ(δ)、λ_γ(δ)、λ_μ (delta) and color values C _α(δ)、C_ε(δ)、C_β(δ)、C_θ(δ)、C_γ(δ)、C_μ (delta) of the gray polyester dye concentrations lambda corresponding to the 17 gray levels respectively, and then entering step D; δ represents a gray level, δ=1 is light gray, δ=9 is medium gray, and δ=17 is dark gray.

In practical applications, the step C includes the following steps C1 to C5.

Step c1. Dividing 17 gray levels from light to deep at equal intervals based on gray polyester gray values, and according to gray polyester gray value D _o (17) on the 17 th gray level, and gray polyester gray value D _o (1) on the 1 st gray level, according to the following formula (14):

D_o(δ)＝D_o(1)+(δ-1)×(D_o(17)-D_o(1))/16 (14)

and (3) obtaining gray values D _o (delta) corresponding to the gray polyester on the gray level surfaces, and then entering a step C2.

In applications, such as taking D _o(1)＝2,D_o(9)＝50,D_o (17) =98, Δ=6, the specific values calculated for D _o (1) to D _o (17) are shown in table 1.

TABLE 1

Sequence number	D_o(1)	D_o(2)	D_o(3)	D_o(4)	D_o(5)	D_o(6)	D_o(7)	D_o(8)	D_o(9)	D_o(10)	D_o(11)	D_o(12)	D_o(13)	D_o(14)	D_o(15)	D_o(16)	D_o(17)
																		Gray scale value	2	8	14	20	26	32	38	44	50	56	62	68	74	80	86	92	98

Step C2. is based on six primary colors of dyes α, ε, β, θ, γ, μ, with dye weight p _α,p_ε,p_β,p_θ,p_γ,p_μ, and dye concentration of polyesterThe six primary color polyesters omega _α,ω_ε,ω_β,ω_θ,ω_γ,ω_μ with the mass omega are respectively prepared by blending/>Configuring [ p _α+p_β+p_γ ]/3 so that the gradation value of the mixture thereof is equal to the reference gradation value D _o (9) =50; by blending/>Configuring [ p _ε+p_θ+p_μ ]/3 so that the gradation value of the mixture thereof is equal to the reference gradation value D _o (9) =50; setting [ p _α+p_ε+p_β+p_θ+p_γ+p_μ ]/6 by preparing lambda _α,λ_ε,λ_β,λ_θ,λ_γ,λ_μ to make the gray value of the mixture equal to the reference gray value; the gray polyester obtained based on the regulation and control of the six primary colors polyester is made to be O, the quality of the gray polyester is omega _o, and the dye concentration of the gray polyester is lambda _o;

Is provided with ：λ_α＝p_α/ω_α;λ_β＝p_β/ω_β;λ_γ＝p_γ/ω_γ;λ_ε＝p_ε/ω_ε;λ_θ＝p_θ/ω_θ;λ_μ＝p_μ/ω_μ;λ_o＝p_o/ω_o (15)

Then:

Setting: omega _α＝ω_ε＝ω_β＝ω_θ＝ω_γ＝ω_μ＝ω_o, then:

p_α:p_β:p_γ:p_ε:p_θ:p_μ:p_o＝λ_α:λ_β:λ_γ:λ_ε:λ_θ:λ_μ:λ_o (17)

In combination with the formula (16), the ratios of the dye concentration of the six-primary color polyester to the concentration of the gray polyester dye are set as follows:

the dye concentrations of the six primary color colored polyesters on the gray-scale surface are obtained based on the configured gray polyester dye concentrations as follows:

The dye weights for obtaining the six primary color polyester on the gray scale surface based on the configured gray polyester dye weights are as follows:

based on the above operations, a seven-primary color polyester color matching system with a reference gray level value D _o (9) =50 as an equal-height gray level surface can be obtained through a gray balance experiment, and the equal-height gray level surface with the gray level value D _o (9) =50 is defined as a reference gray level surface of a color solid.

In the color matching system of the seven-primary color polyester with the gray value D _o (9) =50 as the equal-height gray level, the dye weight and the dye concentration of the seven-primary color polyester can be obtained through experimental means, and the ratio of the dye weight of the seven-primary color polyester to the ratio of the dye concentration of the seven-primary color polyester on the equal-height gray level of D _o (9) =50 is equal and constant.

Obtaining the dye weights of the seven-primary color polyesters on the equal-height gray level with the gray value D _o (9) =50 based on the dye weights of the gray polyesters and the ratio of the dye weights of the six-primary color polyesters to the gray polyesters; and obtaining dye concentrations of the seven-primary color polyesters on the high gray level surfaces based on the dye concentrations of the gray polyester and the ratio of the dye concentrations of the six-primary color polyester to the gray polyester; then step C3 is entered.

Step C3., based on a fitted function relation between gray polyester gray values and dye concentrations obtained in advance, obtaining mixed dye concentrations lambda _o (delta) corresponding to gray polyester on gray level surfaces respectively, and then entering step C4; wherein, lambda _o (delta) represents the concentration of the mixed dye corresponding to the gray polyester on the delta-th gray level.

The data of gray polyester dye concentration and gray value obtained by the test in the above step C3 are shown in table 2.

TABLE 2

Dye concentration (%)	0.001	0.005	0.01	0.05	0.1	0.25	0.5	0.75	1	1.25	1.5
												Gray scale value	1.87	22.69	30.84	51.78	61.17	73.70	83.22	88.79	92.75	95.82	98.33

In the practical application of the step C3, if the polyester gray value is taken as the argument x and the dye concentration is taken as the argument y, as shown in fig. 3a, the function relationship of the fitting curve between the pre-obtained polyester gray value and the corresponding dye concentration is as follows:

y＝a(1-b^x)

Wherein a= -0.00119 and b= 1.07529.

If the dye concentration is taken as an independent variable x and the polyester gray value is taken as an independent variable y, as shown in fig. 3b, the function of the fitted curve between the pre-obtained polyester gray value and the corresponding dye concentration is as follows:

Wherein the method comprises the steps of ,y₀＝97.47369,A₁＝-49.66897,t₁＝-0.38141,A₂＝-50.47966,t₂＝-0.00878.

The gray polyester dye concentrations corresponding to the gray values of the different gray levels were thus found as shown in table 3.

TABLE 3 Table 3

Sequence number	D₁	D₂	D₃	D₄	D₅	D₆	D₇	D₈	D₉
										Gray scale value	2	8	14	20	26	32	38	44	50
Dye concentration	0.00103	0.00142	0.00212	0.00389	0.00671	0.0110	0.01766	0.02793	0.04382
										Sequence number	D₁₀	D₁₁	D₁₂	D₁₃	D₁₄	D₁₅	D₁₆	D₁₇
Gray scale value	56	62	68	74	80	86	92	98
										Dye concentration	0.06837	0.10631	0.16463	0.25562	0.39573	0.61229	0.94701	1.46452

Based on table 3, the gray values D _o (δ) on 17 equal-height gray levels and the dye concentrations λ _o (δ) and the dye weights p _o (δ) of the corresponding gray polyesters can be obtained, expressed by the following numbers:

D_o(1),D_o(2),D_o(3),D_o(4),D_o(5),D_o(6),D_o(7),D_o(8),D_o(9),D_o(10),D_o(11),D_o(12),D_o(13),D_o(14),D_o(15),D_o(16),D_o(17)

λ_o(1),λ_o(2),λ_o(3),λ_o(4),λ_o(5),λ_o(6),λ_o(7),λ_o(8),λ_o(9),λ_o(10),λ_o(11),λ_o(12),λ_o(13),λ_o(14),λ_o(15),λ_o(16),λ_o(17)

p_o(1),p_o(2),p_o(3),p_o(4),p_o(5),p_o(6),p_o(7),p_o(8),p_o(9),p_o(10),p_o(11),p_o(12),p_o(13),p_o(14),p_o(15),p_o(16),p_o(17)

And step C4, obtaining dye concentrations lambda _α(δ)、λ_ε(δ)、λ_β(δ)、λ_θ(δ)、λ_γ(δ)、λ_μ (delta) corresponding to the six primary colors of dye alpha, dye epsilon, dye beta, dye theta, dye gamma and dye mu on each gray level according to the gray polyester dye concentration lambda _o (delta) on each gray level, and then entering step C5.

In the practical application of the step C4, according to the gray polyester dye concentration λ _o (δ) in each gray level surface, the dye weight p _o (δ), and the six-primary color polyester dye concentration λ _α(δ),λ_β(δ),λ_γ(δ),λ_ε(δ),λ_θ(δ),λ_μ (δ) in each gray level surface, the corresponding six-primary color polyester dye weight p _α(δ),p_ε(δ),p_β(δ),p_θ(δ),p_γ(δ),p_μ (δ), the following formulas (21) and (22) are obtained according to formulas (15) to (20);

p_α(δ):p_β(δ):p_γ(δ):p_ε(δ):p_θ(δ):p_μ(δ):p_o(δ)＝λ_α(δ):λ_β(δ):λ_γ(δ):λ_ε(δ):λ_θ(δ):λ_μ(δ):λ_o(δ) (22)

according to the ratio of the concentration of the six primary color polyester dye to the concentration of the gray polyester dye on the gray level surface, the following formula (23):

Further based on the formula (19), a dye concentration value lambda _α(δ)、λ_β(δ)、λ_γ(δ)、λ_ε(δ)、λ_θ(δ)、λ_μ (delta) of the six-primary color polyester on each gray level is obtained as in the formula (24):

Namely, the dye concentration lambda _α(δ),λ_ε(δ),λ_β(δ),λ_θ(δ),λ_γ(δ),λ_μ(δ),λ_o (delta) of the seven-primary color polyester on each gray level surface is obtained, the dye concentration of the seven-primary color polyester on each gray level surface is recorded as As formula (25):

/>

The dye concentration of the polyester for a total of 119 primary colors on all 17 gray scale planes can be expressed as lambda _Σ as in formula (26):

step C5., according to the dye concentration lambda _α(δ)、λ_ε(δ)、λ_β(δ)、λ_θ(δ)、λ_γ(δ)、λ_μ(δ)、λ_o (delta) of the seven-primary color polyester on each gray level surface, proofing to obtain the color value C _α(δ)、C_ε(δ)、C_β(δ)、C_θ(δ)、C_γ(δ)、C_μ(δ)、C_o (delta) of the seven-primary color polyester on each gray level surface.

In the above step C5, the color value C _α(δ)、C_ε(δ)、C_β(δ)、C_θ(δ)、C_γ(δ)、C_μ(δ)、C_o (delta) of the seven-primary color polyester on each gray level is set according to the dye concentration lambda _α(δ)、λ_ε(δ)、λ_β(δ)、λ_θ(δ)、λ_γ(δ)、λ_μ(δ)、λ_o (delta) of the seven-primary color polyester on each gray level, and the color value of the seven-primary color polyester on each gray level is recorded asThe following are provided:

Or:

The color values of the 119 primary color polyesters on all 17 gray scale planes are noted as C _Σ as follows:

Or the color values of all the seven primary color polyesters on 17 equal-height gray levels in the color space are as follows:

And D, constructing 17 gray levels based on the dye concentration and the color value of the seven-primary-color polyester corresponding to the 17 gray levels respectively by combining the seven-primary-color ternary dual-coupling color mixing mode, further obtaining the mixing ratio, the color value and the dye balance weight of the seven-primary-color polyester on the 17 gray levels, and then entering the step E.

The dye concentration of the seven-primary color polyester when the gray balance is achieved by taking the gray value of the reference gray level as the reference

λ_α(9)＝0.054731,λ_β(9)＝0.025065,λ_γ(9)＝0.05162,λ_ε(9)＝0.03992,λ_θ(9)＝0.038343,λ_μ(9)＝0.053197,λ_o(9)＝0.04382, Substitution formula (22) can be obtained:

ε₁:ε₂:ε₃:ε₄:ε₅:ε₆＝1.249:0.572:1.178:0.911:0.875:1.214 (31)

Let α be the yellow dye, β be the cyan dye, γ be the magenta dye, ε be the green dye, θ be the violet dye, μ be the orange dye; based on the formula (31) and table 3, the dye concentrations of the seven-primary color polyester on each of the equal-height gray level surfaces can be obtained, and then the seven-primary color polyester is prepared according to the respective seven-primary color polyester dye concentrations on the 17 gray level surfaces, so that 119 total primary color polyester color yarn samples can be obtained, and the color values of the color yarn samples are respectively tested by using a color meter, as shown in table 4.

TABLE 4 Table 4

/>

In practical applications, the step D includes steps D1 to D5.

Step D1, forming seven-primary color polyester on each gray level by using six-primary color polyester and gray polyester on each gray level, forming six-group ternary dual-coupling mixed color combination on each gray level by using the combination of primary color polyester and gray polyester corresponding to two dyes with hue angles of 60 DEG in the seven-primary color polyester based on the preset reference discrete number corresponding to the polyester quality, namely ω_o(j₁,δ)-ω_ε(j₂,δ)-ω_α(j₃,δ),ω_o(j₁,δ)-ω_β(j₂,δ)-ω_ε(j₃,δ),ω_o(j₁,δ)-ω_θ(j₂,δ)-ω_β(j₃,δ),ω_o(j₁,δ)-ω_γ(j₂,δ)-ω_θ(j₃,δ),ω_o(j₁,δ)-ω_μ(j₂,δ)-ω_γ(j₃,δ),ω_o(j₁,δ)-ω_α(j₂,δ)-ω_μ(j₃,δ).

The quality ω_oεα(j₁,j₂,j₃,δ),ω_oβε(j₁,j₂,j₃,δ),ω_oθβ(j₁,j₂,j₃,δ),ω_oγθ(j₁,j₂,j₃,δ),ω_oμγ(j₁,j₂,j₃,δ),ω_oαμ(j₁,j₂,j₃,δ) of each ternary dual-coupling mixed color combination on each gray level is as follows:

wherein j ₁,j₂,j₃＝1,2,3,…,10,11,δ＝1,2,...,16,17,ω_α (δ) represents the mass of the primary color polyester having a mass ω at the delta-th gray level, ω _ε (δ) represents the mass of the primary color polyester having a mass ω at the delta-th gray level, ω _β (δ) represents the mass of the primary color polyester having a mass ω at the delta-th gray level, ω _θ (δ) represents the mass of the primary color polyester having a mass ω at the delta-th gray level, ω _γ (δ) represents the mass of the primary color polyester having a mass ω at the delta-th gray level, ω _μ (δ) represents the mass of the primary color polyester having a mass ω at the delta-th gray level, ω _o (δ) represents the mass of the gray polyester having a mass ω at the delta-th gray level. Step D2 is then entered.

In step D2., according to ω_α(δ)＝ω_β(δ)＝ω_γ(δ)＝ω_ε(δ)＝ω_θ(δ)＝ω_μ(δ)＝ω_o(δ)＝ω,, ω_oεα(j₁,j₂,j₃,δ)＝ω_oβε(j₁,j₂,j₃,δ)＝ω_oθβ(j₁,j₂,j₃,δ)＝ω_oγθ(j₁,j₂,j₃,δ)＝ω_oμγ(j₁,j₂,j₃,δ)＝ω_oαμ(j₁,j₂,j₃,δ)＝ω,, and j ₃＝12-j₂, the update formula (32) is as follows:

The quality of six groups of ternary dual coupling mixed color combinations on the gray level surfaces of each gray level is obtained by updating ω_oεα(j₁,j₂,δ),ω_oβε(j₁,j₂,δ),ω_oθβ(j₁,j₂,δ),ω_oγθ(j₁,j₂,δ),ω_oμγ(j₁,j₂,δ),ω_oαμ(j₁,j₂,δ).

The above formula further regulates the variation of the hue, the gray level and the chroma of the polyester through the coupling variation of the parameter delta related to the gray level value, the parameter j ₁ related to the chroma and the parameter j ₂ related to the hue.

When δ=constant, j ₁ =1, the color mixing samples are respectively regulated by the change of j ₂: ω _oεα(j₁,j₂, δ) realizes a hue change between color C _α and color C _ε, ω _oβε(j₁,j₂, δ) realizes a hue change between color C _ε and color C _β, ω _oθβ(j₁,j₂, δ) realizes a hue change between color C _β and color C _θ, ω _oγθ(j₁,j₂, δ) realizes a hue change between color C _θ and color C _γ, ω _oμγ(j₁,j₂, δ) realizes a hue change between color C _γ and color C _μ, ω _oαμ(j₁,j₂, δ) realizes a hue change between color C _μ and color C _α.

When δ=constant, j ₂ =1, the color mixing samples are respectively regulated by the change of j ₁: omega _oεα(j₁,j₂, delta) to achieve a change in chroma between color C _α and color C ₀, omega _oβε(j₁,j₂, delta) to achieve a change in chroma between color C _ε and color C ₀; omega _oθβ(j₁,j₂, delta) effecting a change in chroma between color C _β and color C _o, omega _oγθ(j₁,j₂, delta) effecting a change in chroma between color C _θ and color C ₀, omega _oμγ(j₁,j₂, delta) effecting a change in chroma between color C _γ and color C ₀, omega _oαμ(j₁,j₂, delta) effecting a change in chroma between color C _μ and color C _o.

,ω_oεα(j₁,j₂,δ),ω_oβε(j₁,j₂,δ),ω_oθβ(j₁,j₂,δ),ω_oγθ(j₁,j₂,δ),ω_oμγ(j₁,j₂,δ),ω_oαμ(j₁,j₂,δ) When δ=1 to 17, achieving a change in gradation as a whole; step D3 is then entered.

When j ₁,j₂ = 1,2,3, …,10,11; when delta=1, 2, … and 17, the mixed sample is ω_oεα(j₁,j₂,j₃,δ)、ω_oβε(j₁,j₂,j₃,δ)、ω_oθβ(j₁,j₂,j₃,δ)、ω_oγθ(j₁,j₂,j₃,δ)、ω_oμγ(j₁,j₂,j₃,δ)、ω_oαμ(j₁,j₂,j₃,δ),, so that the hue of the mixed sample of the seven-primary-color polyester can be regulated and controlled between 0 and 360 degrees, the chroma can be regulated and controlled between 0 and 1, and the gray level can be regulated and controlled between 2 and 98.

From the above analysis, delta is a variable for controlling gray scale, j ₁ is a variable for controlling chroma, and j ₂ is a variable for controlling hue among ω_oεα(j₁,j₂,δ),ω_oβε(j₁,j₂,δ),ω_oθβ(j₁,j₂,δ),ω_oγθ(j₁,j₂,δ),ω_oμγ(j₁,j₂,δ),ω_oαμ(j₁,j₂,δ) color matching sub-models.

In the gridding mixed three-dimensional color three-dimensional, 17 groups of seven-primary color polyester are configured based on 17 equal-height gray level surfaces, and 17 times 660=11220 grid points are included, and the weight of the seven-primary color polyester dye of each grid point can be obtained through calculation according to the concentration of the seven-primary color polyester dye on each gray level surface and the mixing ratio of the seven-primary color polyester dye.

Step D3, obtaining the mass mixing ratio of the seven-primary-color polyester in each ternary dual-coupling mixed color combination on each gray level according to the formula (34)The following is provided.

For ω _oεα(j₁,j₂, δ):

for ω _oβε(j₁,j₂, δ):

for ω _oθβ(j₁,j₂, δ):

/>

for ω _oγθ(j₁,j₂, δ):

for ω _oμγ(j₁,j₂, δ):

for ω _oαμ(j₁,j₂, δ):

step D4 is then entered.

Step D4., according to formulas (35) - (40), the color value C(j₁,j₂,δ)＝[C_r(j₁,j₂,δ) C_g(j₁,j₂,δ) C_b(j₁,j₂,δ)]^T, of the seven-primary color polyester on each gray-scale surface is obtained by combining the color values C_α(R_α,G_α,B_α)、C_ε(R_ε,G_ε,B_ε)、C_β(R_β,G_β,B_β)、C_θ(R_θ,G_θ,B_θ)、C_γ(R_γ,G_γ,B_γ)、C_μ(R_μ,G_μ,B_μ), of the six-primary color polyester on each gray-scale surface, as shown in formula (42), and then step D5 is performed.

Step D5. according to formulas (35) - (40), combining the mass mixing ratio of the seven-primary polyester omega _α、ω_ε、ω_β、ω_θ、ω_γ、ω_μ、ω_o on the gray-scale surfaceThe dye weights ω_o(j₁,j₂,δ),ω_α(j₁,j₂,δ),ω_ε(j₁,j₂,δ),ω_β(j₁,j₂,δ),ω_θ(j₁,j₂,δ),ω_γ(j₁,j₂,δ),ω_μ(j₁,j₂,δ) to obtain the seven-primary ternary dual-coupled seven-primary polyester are as shown in formula (43) below. /(I)

The ternary dual-coupling color matching mode based on the seven-primary color polyester on the serialized gray level can change the mixing proportion of the seven-primary color polyester system alpha, beta, gamma, epsilon, theta and mu by changing grid point coordinates, and regulate and control the change of hue, brightness and chroma of the color in the six color gamut ranges of alpha-epsilon-o, epsilon-beta-o, beta-theta-o, theta-gamma-o, gamma-mu-o, gamma-alpha-o and the like. However, the above regulation means belongs to local color gamut regulation, and cannot regulate the hue, brightness and chroma changes of colors in the full color gamut. In order to regulate and control color change in the full color gamut range and realize digital accurate regulation and control of hue, brightness and chroma, a gridding color mixing model of the full color gamut needs to be constructed.

And E, forming a full-color phase gridding color mixing model through six groups of ternary dual coupling color mixing combinations on each gray level surface, constructing a full-color domain color solid of three-dimensional gridding color mixing formed by 119 grid points in total of 17 groups of seven-primary color polyester on the basis of serial equal-height gray level surfaces of gray value increasing gradient division, correlating gray values on each equal-height gray level surface in the full-color domain color solid with the concentration of the seven-primary color polyester dye and the color value of the polyester on the corresponding equal-height gray level surface, further obtaining coordinates, color values, mixing ratio of the seven-primary color polyester and dye balance weight of the grid points in the full-color domain gridding color solid, and then entering the step F.

In practical applications, the step E includes the following steps E1 to E6.

Step E1, combining six ternary dual-coupling color mixing rectangular gridding models formed by seven-primary color polyester on a gray level surface, realizing the splicing of the same rows among the models in a mode that the same rows among the models are reserved in the same grids at the head and the tail, wherein j ₁ represents the rows of the spliced models, ζ represents the columns of the spliced models, combining the models into a full-hue gridding color mixing model, regulating and controlling the change of all hues and chroma on the gray level surface through the change of j ₁ and ζ, and then entering step E2; ζ=1, 2, … …,60. The full-color-phase gridded color mixture model as shown in fig. 4 has 660 grid points in total. The hue of polyester at all grid points on each gray level can be regulated and controlled to be changed within the range of 0-360 degrees, and the chroma is changed within the range of 0-1.

And E2, combining full-color phase gridding color mixing models formed by 17 gray levels according to the delta value order to form a full-color domain gridding color solid, correlating the gray level value on each equal-height gray level with the concentration of the seven-primary-color polyester dye and the polyester color value on the corresponding equal-height gray level, regulating and controlling the change of the hue, the chroma and the gray level of the seven-primary-color polyester in the full-color domain range through the change of j ₁, ζ and delta, and then entering the step E3.

The serialized gray planes are combined into a full-gamut gridding color mixing model, namely a full-gamut gridding color solid, as shown in fig. 5. In the color space, the mixing proportion of the seven-primary color polyester in the seven-primary color polyester ω_oεα(j₁,j₂,δ)、ω_oβε(j₁,j₂,δ)、ω_oθβ(j₁,j₂,δ)、ω_oγθ(j₁,j₂,δ)、ω_oμγ(j₁,j₂,δ)、ω_oαμ(j₁,j₂,δ) can be regulated and controlled by changing the grid point coordinates, the hue of the grid point polyester color can be uniformly regulated and controlled within the range of 0-360 degrees in the full color range, the chroma can be changed within the range of 0-1, and the gray scale can be changed within the range of 2-98.

Step E3. forms grid point coordinates P (j ₁, ζ, δ) based on the j ₁, ζ, and δ values corresponding to different grid points in the full-gamut gridding color volume, and then the grid point coordinate matrix composed of all grid points in the full-gamut gridding color volume is shown as formula (44), and step E4 is entered.

Step E4. based on the values of j ₁, ζ and δ corresponding to different grid points in the three-dimensional color volume, calculating the mixing ratio of the seven-primary color polyesters corresponding to each grid point through (35) - (40)The following are provided;

Mixing ratio matrix of gamut color space grid points:

Step E5 is then entered.

Step E5. is based on the blend ratio of the seven-primary polyester corresponding to the grid points

Obtaining color values C (j ₁, ζ, delta) of the seven-primary color polyester corresponding to the grid points through a formula (53);

The color matrix of the full-gamut color space grid point:

And then proceeds to step E6.

Step E6. is based on the mass mixing ratio of the seven-primary polyester omega _α、ω_ε、ω_β、ω_θ、ω_γ、ω_μ、ω_o on the gray scale surfaceThe dye weights ω_o(j₁,j₂,δ),ω_α(j₁,j₂,δ),ω_ε(j₁,j₂,δ),ω_β(j₁,j₂,δ),ω_θ(j₁,j₂,δ),ω_γ(j₁,j₂,δ),ω_μ(j₁,j₂,δ) to obtain the seven-primary ternary dual-coupling seven-primary polyester are as follows as shown in formula (55):

The weighting matrix for the full gamut color space grid points:

Dividing the full-color domain polar angle of the color gamut by 360 ° by 30 equally dividing, dividing the polar radius by 10 equally dividing, dividing the color gamut by 17 equally dividing from the light gray level, the reference gray level, and the dark gray level, thereby obtaining 660×17=11220 grid points, and using the three-dimensional polar coordinate value on each grid point: the polar angle, polar radius, hue corresponding to the height, chroma and gray value represent the color value of the grid point, the mixing ratio of the seven-primary polyester and the dye balance weight.

In the seven-primary color mixed system, gray polyester is used as a reference, a gray level with a gray value equal to 50 is used as a reference gray level, a gray level with a gray value equal to 2 is used as a light gray level, and a gray level with a gray value equal to 98 is used as a dark gray level; planning 17 gray levels by taking gray level 6 as an increasing and decreasing gradient;

selecting a gray polyester dye concentration variation range according to a gray value range of the planned 17 gray surfaces, performing proofing through gradient variation of the gray polyester dye concentration and testing a color value of the proofing, and acquiring a functional relation between the gray polyester dye concentration and the gray value or a functional relation between the gray polyester gray value and the dye concentration by adopting a curve fitting method; according to the fitted function formula, the corresponding gray polyester dye concentration can be calculated based on the gray value, and the corresponding gray value can also be calculated based on the gray polyester dye concentration.

Based on the dye concentration of each gray polyester on 17 gray planes and the ratio of the dye concentrations of the seven-primary-color polyesters in gray balance, the specific dye concentrations (119 total) of the seven-primary-color polyesters on each equal-height gray plane can be obtained;

And (3) according to the specific dye concentration of the seven-primary color polyester on each equal-height gray level, proofing to obtain a seven-primary color polyester sample on each equal-height gray level, and obtaining the color value of the seven-primary color polyester on each equal-height gray level by a spectrocolorimeter.

Based on the planned gray level and the planned seven-primary-color gridding mixing mode of each equal-height gray level, a full-color domain color solid comprising 660 x 17 = 11220 grid points can be constructed, parameters such as color values, concentration values and seven-primary-color polyester mixing ratio of each grid point, three-dimensional polar coordinates (respectively representing polar angles by hue, radius by chroma and height by gray level) of each grid point and the like are used for expressing the color solid in the full-color domain range, and hue regulation and control between 0 and 360 degrees, chroma regulation and control between 0 and 1 and gray regulation and control between 2 and 98 are realized for the color mixing of the seven-primary-color polyester.

Through the operation, the full-color-domain gridding mixed three-dimensional color space is constructed, and the characteristics of the color space are: the polar angle of the color solid is used for representing hue, the polar radius is used for representing chroma, the height is used for representing gray level, and the color gamut range of the full-color gamut color solid is as follows: hue is 0-360 degrees, chroma is 0-1, and gray scale is 2-98.

In practical applications, the step F includes the following steps F1 to F4.

Step F1, a full-color domain gridding color stereoscopic body constructed based on seven-primary-color ternary dual-coupling color mixing is constructed according to a mode that lines on a gray level surface are twisted into concentric circles, grid point coordinates P (j ₁, ζ, delta) in the cylindrical full-color domain gridding color stereoscopic body are converted into three-dimensional polar coordinates P (j ₁,ζ,δ)＝[θ(j₁,ζ,δ)ρ(j₁,ζ,δ)z(j₁, ζ, delta), polar angles theta (j ₁, ζ, delta), polar radii rho (j ₁, ζ, delta) and heights z (j ₁, ζ, delta) are obtained through a formula (57), and then step F2 is carried out.

The grid point coordinates can be expressed as:

P(j₁,ζ,δ)＝[θ(j₁,ζ,δ) ρ(j₁,ζ,δ) z(j₁,ζ,δ)]＝[(ζ-1)×60°/10 (11-j₁)/10 δ] (58)

According to the constructed cylindrical full-color-gamut gridding color-gamut stereoscopic visual color spectrum can be constructed from three dimensions of an equal-height gray level plane, an equal-angle color-phase plane and an equal-radius color-gamut plane.

In the columnar gridding color solid, a plane formed by grid points with equal height coordinates z (j ₁, ζ, δ) is called an equal-height gray level plane, and can be divided into 17 equal-height gray level planes according to different height coordinates. On each of the equal-height gradation surfaces, 10 equal divisions were made in the radial direction, 60 equal divisions were made in the circumferential direction, and 660 grid points were included in total.

Step F2., constructing an equal-height gray level visual color spectrum based on an equal-height gray level formed by grid points with equal height coordinates z (j ₁, ζ, delta); the grid point quality matrix [ T (j ₁, ζ, δ) ] of the equal-height gray level is:

From the mass matrix [ T (j ₁, ζ, δ) ], a corresponding mixing ratio matrix is obtained The method comprises the following steps:

according to the mixing ratio matrix The corresponding chromatographic matrix [ C (j ₁, ζ, δ) ] is obtained as:

And then proceeds to step F3.

In a cylindrical full-color-gamut gridded color volume, the direction of change in the polar radial coordinates ρ (j ₁, ζ, δ) is the change in color when there is a mixture of color and gray, i.e., the change in color chroma. When a plane formed by grid points with equal values of polar radial coordinates ρ (j ₁, ζ, δ) is called an equal-radius chroma plane, a cylindrical full-color gamut gridding color solid can be divided into 11 equal-radius chroma planes according to different values of polar radial coordinates ρ (j ₁, ζ, δ). Each equal-radius chrominance plane is divided into 16 equal portions in the height direction and 60 equal portions in the circumferential direction, and includes 1020 grid points in total.

Step F3., constructing a visual color spectrum of the equal-radius color plane based on the equal-radius color plane formed by grid points with equal polar radius coordinates rho (j ₁, ζ, delta); the grid point quality matrix [ T (j ₁, ζ, delta) ] of the equal radius chroma plane is as follows:

From the mass matrix [ T (j ₁, ζ, δ) ] the mixing ratio matrix can be determined The method comprises the following steps:

/>

according to the mixing ratio matrix The chromatographic matrix [ C (j ₁, ζ, δ) ] is found as:

and then proceeds to step F4.

In a cylindrical full-gamut gridded color volume, the direction of change in the polar coordinates θ (j ₁, ζ, δ) is the change in color when a plurality of chromatic colors are mixed, i.e., the change in color phase. The surface formed by grid points with equal values of the polar coordinates θ (j ₁, ζ, δ) is called an equiangular color phase surface, and the color volume can be divided into 60 equiangular color phase surfaces according to different values of the polar coordinates θ (j ₁, ζ, δ). On each equiangular color phase plane, 16 equally divided in the height direction and 10 equally divided in the radius direction are included, and a total of 187 grid points are included.

Step F4., constructing an equiangular color phase surface visual color spectrum based on the equiangular color phase surfaces formed by grid points with equal polar angle coordinates theta (j ₁, ζ, delta); the grid point quality matrix [ T (j ₁, ζ, δ) ] of the equal angle color phase surface is:

The method for preparing the three-dimensional mesh-type mixed three-dimensional color of the seven-primary-color polyester and the full-color-domain color matching designed based on the gradient gray value is applied to the practical implementation, firstly, the seven-primary-color polyester with the medium gray level is prepared and the color spectrum is constructed, and six-primary-color dyes alpha, epsilon, beta, theta, gamma and mu with the hue angles of 60 DEG are preferred, and the dye weight p _α,p_ε,p_β,p_θ,p_γ,p_μ and the concentration of polyester (master batch) are used The polyester (master batch) system of omega _α,ω_ε,ω_β,ω_θ,ω_γ,ω_μ with the weight of 50g is respectively configured, the six polyester (master batch) systems are mixed according to a specific mixing proportion to obtain the gray polyester (master batch) omega _o and omega _o＝(ω_α+ω_β+ω_γ)/3,ω_o＝(ω_ε+ω_θ+ω_μ)/3, and the omega _α、ω_β、ω_γ、ω_ε、ω_θ、ω_μ、ω_o seven-primary color polyester (master batch) color matching system based on the six primary color dyes is constructed.

In the preparation of the seven-primary color polyester, 7 polyester (master batch) injectors are set for the seven-primary color polyester (master batch) on each gray level surface in the color space, and 7×17=119 injectors are required for the whole color space. 17 x 660 = 11220 grid points corresponding to the color solid, and the corresponding polyester (master batch) can be blended only by controlling the flow ratio of the 119 injectors. For a multi-channel screw blending extruder, 11220 grid point polyester (masterbatch) weights are required to be given, and at this time, the dye weights of each grid point can be calculated according to the mixing ratio of the seven-primary color polyester on each gray level.

The dye concentration and color values of the seven primary color polyester on the mid-gray plane are known as shown in table 5, wherein the color measurement is performed at D65, 10 viewing angle.

TABLE 5

Table 5 shows that the color value matrix of the seven primary colors polyester on the medium gray level surface can be obtainedThe following are provided:

according to the calculation formulas (45) to (51) of the mixing ratio of the seven-primary-color polyesters (master batches) at each grid point of the full-color gamut color mixing model, the mixing ratio of the seven-primary-color polyesters at all grid points on each gray level can be obtained The results are shown in Table 6.

TABLE 6

Here, ζ=1, 2,..60, the corresponding ternary color of ternary coupling compound is different in different ζ value intervals, and if the ternary color is A, B, C, the corresponding primary color of the ternary color in different ζ value intervals is shown in table 7.

TABLE 7

ξ	A	B	C
				1-10	α	ε	ο
11-20	ε	β	ο
				21-30	β	θ	ο
31-40	θ	γ	ο
				41-50	γ	μ	ο
51-60	μ	α	o

According to the concentration of the seven-primary color polyester dye on the gray level of the grid point and the mixing ratio of the seven-primary color polyester (master batch) corresponding to the grid pointThe seven-primary color polyester (master batch) at the grid point can be mixed.

The polyester (master batch) weights for all grid points in the color gamut were determined from the seven-primary polyester blend ratios for all grid points in the full-color gamut gridding color gamut by the following formula, and the results are shown in table 8.

TABLE 8

The color values of the mixed subsamples on the middle gray scale surface are obtained by knowing the color values of the seven-primary color polyester on the middle gray scale surface and the mixing ratios of the seven-primary color polyester corresponding to the grid points, and the middle gray scale surface color spectrum is constructed, and the results are shown in table 9.

TABLE 9

Example two-known sample color value acquisition polyester (masterbatch) blend ratio.

1. Construction of a full-color gamut based on a seven-primary polyester, its grid point color values

j₁＝1,2,3,…,10,11；ζ＝1,2,……,60；δ＝1,2,…,17

2. Grid point coordinates of full color gamut color solid

P(j₁,ζ,δ)＝[θ(j₁,ζ,δ) ρ(j₁,ζ,δ) z(j₁,ζ,δ)]＝[(ζ-1)×60°/10 (11-j₁)/10 δ] (71)

j₁＝1,2,3,…,10,11；ζ＝1,2,……,60；δ＝1,2,…,17

3. Seven-primary color polyester (master batch) mixing ratio corresponding to grid points in full-color gamut color solid

/>

4. Determining the position of the point in the color volume based on the known color values C (H, S, D)

Obtaining color values of all grid points in the color space according to a formula (53) (RGB system ),C(j₁,ζ,δ)＝[C_r(j₁,ζ,δ) C_g(j₁,ζ,δ) C_b(j₁,ζ,δ)]^T, converts the color values into HSL system color values to be C _HSL(j₁,ζ,δ)＝[H(j₁,ζ,δ) S(j₁,ζ,δ) D(j₁,ζ,δ)]^T), searching the color space according to a data searching formula (73) to obtain reference points capable of calibrating positions of known color points C (H, S, D)The grid point coordinates are respectively/>ζ^*,δ^*。

The reference points for calibrating the position of C (H, S, D) in the color space are obtained based on the formula (61)Thereby, the color values of 8 grid points around the point C (H, S, D) are obtained as follows:

(1) To examine the relative positional relationship between points C (H, S, D) and the hue of each point C ₁,C₂,C₃,C₄,C₅,C₆,C₇,C₈, the following is set:

when eta ₁ is less than or equal to 0.5, take

When eta ₁ is more than 0.5, take

(2) In order to examine the relative positional relationship between points C (H, S, D) and C ₁,C₂,C₃,C₄,C₅,C₆,C₇,C₈, the following is set:

When eta ₂ is less than or equal to 0.5, take

When eta ₂ is more than 0.5, take

(3) In order to examine the relative positional relationship between points C (H, S, D) and the gray scale of each point C ₁,C₂,C₃,C₄,C₅,C₆,C₇,C₈, the following is set:

when eta ₃ is less than or equal to 0.5, take

When eta ₃ is more than 0.5, take

Table 10

The results of table 10 are shown in formulas (45) to (51), and the corresponding mixing ratio of the seven-primary-color polyester (master batch) can be obtained.

In the third embodiment, as shown in fig. 7, a serialization color with different angle hues and same radius chroma is selected on the middle gray level surface to prepare seven-primary color polyester (master batch) with different angle hues and same radius chroma, when ζ=1, 2..10, the ternary color mixing sequence is α - ε -o; when ζ=11, 12,..20, the three-color mixing order is ε - β -o; when ζ=21, 22,..30, the three-color mixing order is β - θ -o; when ζ=31, 32,..40, the three-color mixing order is θ—γ—o; when ζ=41, 42,..50, the three-color mixing order is γ - μ -o; when ζ=51, 52..60, the three-color mixing order is μ - α -o. The mixing ratio of the color mixture sub-sample and the weight of the polyester (master batch) are shown in Table 11.

TABLE 11

/>

In the fourth embodiment, as shown in fig. 8, a series of colors with equal angle hues and different radius hues are selected on a middle gray level surface, and the seven-primary color polyester (master batch) system with equal angle hues and different radius hues is prepared, when ζ=15, the three-component color mixing sequence is epsilon-beta-o; when ζ=35, the three-color mixing sequence is θ - γ -o; when ζ=52, the three-color mixing order is μ - α -o. The mixing ratio of the color mixture sub-sample and the polyester (master batch) weight are shown in Table 12.

Table 12

/>

Example five-preparation of equal radius chroma face seven primary color polyester (masterbatch) system taking j ₁ =7 as an example, the preparation of equal radius chroma face seven primary color polyester (masterbatch) system is carried out. FIG. 9 shows a mesh model of an isochromatic surface, the mixing ratios of the mixed subsamples on the surface are shown in Table 13, the color values are shown in Table 14, and the polyester (masterbatch) weights are shown in Table 15.

TABLE 13

TABLE 14

TABLE 15

In the sixth embodiment, as shown in table 16, a serialized color with different high gray levels and different angular hues is selected on the equal-radius chroma surface for preparing a seven-primary color polyester (master batch) system with different high gray levels and different angular hues, and the mixing ratio of the mixed color subsamples and the weight of the polyester (master batch) are shown in table 17; when ζ=1, 2,..10, the three-color mixing order is α - ε -o; when ζ=11, 12,..20, the three-color mixing order is ε - β -o; when ζ=21, 22,..30, the three-color mixing order is β - θ -o; when ζ=31, 32,..40, the three-color mixing order is θ—γ—o; when ζ=41, 42,..50, the three-color mixing order is γ - μ -o; when ζ=51, 52..60, the three-color mixing order is μ - α -o.

Table 16

TABLE 17

/>

Example seven-preparation of a same-angle hue and different-height gray-scale seven-primary-color polyester (master batch) system on an equal-radius chroma surface, as shown in table 18, selecting a same-angle hue and different-height gray-scale serialization color on the equal-radius chroma surface, and preparing a same-angle hue and different-height gray-scale seven-primary-color polyester (master batch) system, wherein when ζ=3, 6,9, the three-color mixing sequence is alpha-epsilon-o; the mixing ratio of the color mixture sub-sample and the weight of the polyester (master batch) are shown in Table 19.

TABLE 18

TABLE 19

/>

Example eight-preparation of equal angular color phase surface seven primary color polyester (masterbatch) system was performed taking ζ=9 (hue angle 54 °). Table 20 shows a gridding model of an equiangular color phase surface, the mixing ratios of the mixed subsamples on this surface are shown in Table 21, the color values are shown in Table 22, and the polyester (masterbatch) weights are shown in Table 23.

Table 20

Table 21

Table 22

Table 23

Example nine-preparation of seven-primary-color polyester (masterbatch) system with different radius and different gray levels on equal-angle color phase surfaces, as shown in table 24, selecting serialized colors with different radius and different gray levels on equal-angle color phase surfaces, and preparing the seven-primary-color polyester (masterbatch) system with different radius and different gray levels on equal-angle color phase surfaces, wherein when ζ=9, the three-color mixing sequence is alpha-epsilon-o; the mixing ratio of the color mixture sub-samples and the weight of the polyester (master batch) are shown in Table 25.

Table 24

Table 25

/>

Example ten-preparation of a seven-primary-color polyester (master batch) system with same-radius chroma and different-height gray scales on equal-angle color phase surfaces, as shown in table 26, selecting serial colors with same-radius chroma and different-height gray scales on the equal-angle color phase surfaces, and preparing the seven-primary-color polyester (master batch) system with same-radius chroma and different-height gray scales, wherein when ζ=9, the three-primary-color mixing sequence is alpha-epsilon-o; the mixing ratio of the color mixture sub-samples and the polyester (master batch) weight are shown in Table 27.

Table 26

/>

Table 27

/>

The color mixing method of the three-dimensional gridding compound three-dimensional color and full color domain of the seven-primary-color polyester constructed based on gradient gray values is designed by the technical scheme, and a two-dimensional gridding compound system of the seven-primary-color polyester is constructed based on six-primary-color gray balance; secondly, constructing a full-color domain color solid of three-dimensional gridding mixed colors of 119 grid points of 17 groups of seven-primary color polyester based on serialized equal-height gray level surfaces divided by gradient increasing gray level values, correlating gray level values on each equal-height gray level surface in the color solid with the concentration of the seven-primary color polyester dye and the color value of the polyester on the corresponding equal-height gray level surface, and constructing the full-color domain color solid capable of regulating and controlling the gray level, the hue and the chroma of the seven-primary color polyester in the full-color domain range; then constructing a visual color spectrum of 17 equal-height gray level planes, 60 equal-angle color phase planes and 10 equal-radius color level planes based on 119 grid points of the full-color-gamut color solid; finally, a method for obtaining the proportion of the seven-primary-color polyester, the dye concentration and the dye weight based on the color value of the polyester sample is provided; the whole design method can provide big data to carry out color prediction and color innovation design of polyester color matching, and the intellectualization of color design and application is realized.

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 spirit of the present invention.

Claims

1. The color matching method for the three-dimensional gridding mixed three-dimensional color of the seven-primary-color polyester and the full color domain based on the gradient gray value is characterized by comprising the following steps:

2. The method for matching color of a three-dimensional mesh-type three-dimensional color of a seven-primary-color polyester and a full color gamut based on gradient gray value construction, which is characterized in that: in the step A, based on the six primary color polyester omega _α、ω_ε、ω_β、ω_θ、ω_γ、ω_μ, the following three modes are adopted:

the dye concentration was adjusted to mix equal amounts of the six primary color polyesters to obtain a gray polyester ω _o having an RGB color value of (128,128,128), a gray value of D _o (9) =50, and a mass ω.

3. The method for matching color of a three-dimensional mesh-type three-dimensional color of a seven-primary-color polyester and a full color gamut based on gradient gray value construction, which is characterized in that: the step B comprises the following steps B1 to B5;

Wherein: j ₁,j₂,j₃＝1,2,3,…,10,11,ω_α represents the mass of the primary polyester of which the dye α corresponds to the mass ω, ω _β represents the mass of the primary polyester of which the dye β corresponds to the mass ω, ω _γ represents the mass of the primary polyester of which the dye γ corresponds to the mass ω, ω _ε represents the mass of the primary polyester of which the dye ε corresponds to the mass ω, ω _θ represents the mass of the primary polyester of which the dye θ corresponds to the mass ω, ω _μ represents the mass of the primary polyester of which the dye μ corresponds to the mass ω, ω _ο represents the mass of the gray polyester of which the mass ω, and then step B2 is entered.

Step b2. Formula (3) is obtained according to ω _α＝ω_β＝ω_γ＝ω_ε＝ω_θ＝ω_μ＝ω_o =ω, ω_oεα(j₁,j₂,j₃)＝ω_oβε(j₁,j₂,j₃)＝ω_oθβ(j₁,j₂,j₃)＝ω_oγθ(j₁,j₂,j₃)＝ω_oμγ(j₁,j₂,j₃)＝ω_oαμ(j₁,j₂,j₃)＝ω, in combination with the dual-coupled color mixing definition as follows:

j₃＝12-j₂ (3)

The mode of double coupling color mixing between two adjacent primary color polyesters corresponding to two color dyes with 60-degree phase angle difference and 1 achromatic gray polyester is selected from the seven primary color polyesters is reflected, and the color phase and the color degree change of the polyester are further regulated and controlled through the coupling change of the parameters j ₁ related to the color degree and the parameters j ₂ related to the color phase;

When j ₁ =1, the color mixing samples can be respectively regulated and controlled by the change of j ₂: omega _oεα(j₁,j₂) to achieve a hue change between color C _α and color C _ε, omega _oβε(j₁,j₂) to achieve a hue change between color C _ε and color C _β, omega _oθβ(j₁,j₂) to achieve a hue change between color C _β and color C _θ, omega _oγθ(j₁,j₂) to achieve a hue change between color C _θ and color C _γ, omega _oμγ(j₁,j₂) to achieve a hue change between color C _γ and color C _μ, omega _oαμ(j₁,j₂) to achieve a hue change between color C _μ and color C _α;

when j ₂ =1, the color mixing samples can be respectively regulated and controlled by the change of j ₁: omega _oεα(j₁,j₂) to achieve a chroma change between color C _α and color C ₀, omega _oβε(j₁,j₂) to achieve a chroma change between color C _ε and color C ₀; omega _oθβ(j₁,j₂) to achieve a change in chroma between color C _β and color C _o, omega _oγθ(j₁,j₂) to achieve a change in chroma between color C _θ and color C ₀, omega _oμγ(j₁,j₂) to achieve a change in chroma between color C _γ and color C ₀, omega _oαμ(j₁,j₂) to achieve a change in chroma between color C _μ and color C _o;

When j ₁,j₂ = 1,2,3, …,10,11, the mixed sample is ω_oεα(j₁,j₂),ω_oβε(j₁,j₂),ω_oθβ(j₁,j₂),ω_oγθ(j₁,j₂),ω_oμγ(j₁,j₂),ω_oαμ(j₁,j₂), to realize the change of hue and chroma;

b3 obtaining the mass mixing ratio of the seven-primary color polyester omega _α、ω_ε、ω_β、ω_θ、ω_γ、ω_μ、ω_o in the six-group ternary dual coupling mixed color combination on the reference gray level according to the formula (4) The following are provided:

for ω _oεα(j₁,j₂):

for ω _oβε(j₁,j₂):

for ω _oθβ(j₁,j₂):

For ω _oγθ(j₁,j₂):

for ω _oμγ(j₁,j₂):

for ω _oαμ(j₁,j₂):

Then enter step B4;

Step B4., according to formulas (5) - (10), combining the color value C_o(R_o,G_o,B_o)C_α(R_α,G_α,B_α)、C_ε(R_ε,G_ε,B_ε)、C_β(R_β,G_β,B_β)、C_θ(R_θ,G_θ,B_θ)、C_γ(R_γ,G_γ,B_γ)、C_μ(R_μ,G_μ,B_μ), of the seven-primary color polyester omega _o、ω_α、ω_ε、ω_β、ω_θ、ω_γ、ω_μ on the reference gray level to obtain the color value C(j₁,j₂)＝[C_r(j₁,j₂) C_g(j₁,j₂) C_b(j₁,j₂)]^T of the seven-primary color polyester on the reference gray level as shown in formula (12), and then entering step B5;

Step B5. according to formulas (5) - (10), combining the mass mixing ratio of the seven-primary color polyester omega _α、ω_ε、ω_β、ω_θ、ω_γ、ω_μ、ω_o on the reference gray level The dye weights ω_o(j₁,j₂),ω_α(j₁,j₂),ω_ε(j₁,j₂),ω_β(j₁,j₂),ω_θ(j₁,j₂),ω_γ(j₁,j₂),ω_μ(j₁,j₂) to obtain the seven-primary polyester are as follows as in formula (13):

4. the method for matching color of a three-dimensional mesh-type three-dimensional color of a seven-primary-color polyester and a full color gamut based on gradient gray value construction, which is characterized in that: the step C comprises the following steps C1 to C5;

D_ο(δ)＝D_ο(1)+(δ-1)×(D_ο(17)-D_ο(1))/16 (14)

Obtaining gray values D _ο (delta) corresponding to gray polyester on each gray level surface, and then entering a step C2;

Step C2. is based on six primary colors of dyes α, ε, β, θ, γ, μ, with dye weight p _α,p_ε,p_β,p_θ,p_γ,p_μ, and dye concentration of polyester The six primary color polyesters omega _α,ω_ε,ω_β,ω_θ,ω_γ,ω_μ with the mass omega are respectively prepared by blending/>Configuring [ p _α+p_β+p_γ ]/3 so that the gradation value of the mixture thereof is equal to the reference gradation value D _o (9) =50; by blending/>Configuring [ p _ε+p_θ+p_μ ]/3 so that the gradation value of the mixture thereof is equal to the reference gradation value D _o (9) =50; setting [ p _α+p_ε+p_β+p_θ+p_γ+p_μ ]/6 by preparing lambda _α,λ_ε,λ_β,λ_θ,λ_γ,λ_μ to make the gray value of the mixture equal to the reference gray value; the gray polyester obtained based on the regulation of the six primary colors polyester is O, the gray polyester quality is omega _ο, and the gray polyester dye concentration is lambda _ο;

is provided with ：λ_α＝p_α/ω_α;λ_β＝p_β/ω_β;λ_γ＝p_γ/ω_γ;λ_ε＝p_ε/ω_ε;λ_θ＝p_θ/ω_θ;λ_μ＝p_μ/ω_μ;λ_ο＝p_ο/ω_ο (15)

Then:

Setting: omega _α＝ω_ε＝ω_β＝ω_θ＝ω_γ＝ω_μ＝ω_ο, then:

p_α:p_β:p_γ:p_ε:p_θ:p_μ:p_ο＝λ_α:λ_β:λ_γ:λ_ε:λ_θ:λ_μ:λ_ο (17)

In combination with the formula (16), the ratio of the dye concentration of the six-primary color polyester to the concentration of the gray polyester dye is set to be respectively

Obtaining the dye weights of the seven-primary color polyesters on the equal-height gray level of the reference gray value D _o (9) =50 based on the dye weights of the gray polyesters and the ratio of the dye weights of the six-primary color polyesters to the gray polyesters; and obtaining dye concentrations of the seven-primary color polyesters on the high gray level surfaces based on the dye concentrations of the gray polyester and the ratio of the dye concentrations of the six-primary color polyester to the gray polyester; then enter step C3;

Step C3., based on a fitted function relation between gray polyester gray values and dye concentrations obtained in advance, obtaining mixed dye concentrations lambda _o (delta) corresponding to gray polyester on gray level surfaces respectively, and then entering step C4; wherein, lambda _o (delta) represents the concentration of the mixed dye corresponding to the gray polyester on the delta gray level;

Step C4, obtaining dye concentrations lambda _α(δ)、λ_ε(δ)、λ_β(δ)、λ_θ(δ)、λ_γ(δ)、λ_μ (delta) corresponding to the six primary colors of dye alpha, dye epsilon, dye beta, dye theta, dye gamma and dye mu on each gray level according to the gray polyester dye concentration lambda _o (delta) on each gray level, and then entering step C5;

5. The method for matching the color of the three-dimensional mesh-type mixed three-dimensional color of the seven-primary-color polyester constructed based on the gradient gray values and the full color domain is characterized in that: in the step C3, if the polyester gray value is taken as an independent variable x and the dye concentration is taken as an independent variable y, the function relationship of the fitted curve between the pre-obtained polyester gray value and the corresponding dye concentration is as follows:

y＝a(1-b^x)

Wherein a= -0.00119, b = 1.07529;

If the dye concentration is taken as an independent variable x and the polyester gray value is taken as an independent variable y, the function relationship of the fitted curve between the pre-obtained polyester gray value and the corresponding dye concentration is as follows:

6. The method for matching the color of the three-dimensional mesh-type mixed three-dimensional color of the seven-primary-color polyester constructed based on the gradient gray values and the full color domain is characterized in that: in the step C4, according to the gray polyester dye concentration λ _o (δ) in each gray level surface, the dye weight p _o (δ), and the six primary color polyester dye concentration λ _α(δ),λ_β(δ),λ_γ(δ),λ_ε(δ),λ_θ(δ),λ_μ (δ) in each gray level surface, the corresponding six primary color polyester dye weight p _α(δ),p_ε(δ),p_β(δ),p_θ(δ),p_γ(δ),p_μ (δ), the following formulas (21), (22) are obtained according to formulas (15) to (20);

further based on the formula (19), a dye concentration value λ _α(δ),λ_β(δ),λ_γ(δ),λ_ε(δ),λ_θ(δ),λ_μ (δ) of the six-primary color polyester on each gray-level surface is obtained as formula (24):

7. The method for three-dimensional gridding compounding of a seven-primary-color polyester three-dimensional gridding compounding three-dimensional color and full-color domain color matching based on gradient gray value construction according to any one of claims 4, 5 and 6, wherein the method is characterized in that: in the step C5, the color value C _α(δ)、C_ε(δ)、C_β(δ)、C_θ(δ)、C_γ(δ)、C_μ(δ)、C_o (delta) of the seven-primary color polyester on each gray level is set according to the dye concentration lambda _α(δ)、λ_ε(δ)、λ_β(δ)、λ_θ(δ)、λ_γ(δ)、λ_μ(δ)、λ_o (delta) of the seven-primary color polyester on each gray level, and the color value of the seven-primary color polyester on each gray level is recorded as The following are provided:

Or:

or the color values of all the seven-primary-color polyesters on 17 equal-height gray levels in the three-dimensional full-color gamut color solid are as follows:

8. The method for matching color of a three-dimensional mesh-type three-dimensional color of a seven-primary-color polyester and a full color gamut based on gradient gray value construction, which is characterized in that: the step D comprises the steps D1 to D5;

Step D1, forming seven-primary color polyester on each gray level by using six-primary color polyester and gray polyester on each gray level, and forming six groups of three-element double-coupling color mixing combinations on each gray level by using the combination of the primary color polyester and gray polyester corresponding to two dyes with hue angles different by 60 degrees in the seven-primary color polyester based on a preset reference discrete number corresponding to the quality of the polyester, wherein the quality ω_oεα(j₁,j₂,j₃,δ),ω_oβε(j₁,j₂,j₃,δ),ω_oθβ(j₁,j₂,j₃,δ),ω_oγθ(j₁,j₂,j₃,δ),ω_oμγ(j₁,j₂,j₃,δ),ω_oαμ(j₁,j₂,j₃,δ) of each three-element double-coupling color mixing combination on each gray level is as follows:

Wherein j ₁,j₂,j₃＝1,2,3,…,10,11,δ＝1,2,...,16,17,ω_α (δ) represents the mass of the primary color polyester having a mass ω at the delta-th gray level, ω _ε (δ) represents the mass of the primary color polyester having a mass ω at the delta-th gray level, ω _β (δ) represents the mass of the primary color polyester having a mass ω at the delta-th gray level, ω _θ (δ) represents the mass of the primary color polyester having a mass ω at the delta-th gray level, ω _γ (δ) represents the mass of the primary color polyester having a mass ω at the delta-th gray level, ω _μ (δ) represents the mass of the primary color polyester having a mass ω at the delta-th gray level, ω _ο (δ) represents the mass of the gray polyester having a mass ω at the delta-th gray level. Then enter step D2;

Step D2. according to ω_α(δ)＝ω_β(δ)＝ω_γ(δ)＝ω_ε(δ)＝ω_θ(δ)＝ω_μ(δ)＝ω_o(δ)＝ω,, ω_oεα(j₁,j₂,j₃,δ)＝ω_oβε(j₁,j₂,j₃,δ)＝ω_oθβ(j₁,j₂,j₃,δ)＝ω_oγθ(j₁,j₂,j₃,δ)＝ω_oμγ(j₁,j₂,j₃,δ)＝ω_oαμ(j₁,j₂,j₃,δ)＝ω, and j ₃＝12-j₂, update equation (32) to equation (34) as follows

The quality of six groups of ternary dual coupling mixed color combinations on the gray level surfaces of each gray level is obtained by updating ω_oεα(j₁,j₂,δ),ω_oβε(j₁,j₂,δ),ω_oθβ(j₁,j₂,δ),ω_oγθ(j₁,j₂,δ),ω_oμγ(j₁,j₂,δ),ω_oαμ(j₁,j₂,δ);

The variation of the hue, the gray level and the chroma of the polyester is further regulated and controlled through the coupling variation of the parameter delta related to the gray level, the parameter j ₁ related to the chroma and the parameter j ₂ related to the hue;

When δ=constant, j ₁ =1, the color mixing samples are respectively regulated by the change of j ₂: ω _oεα(j₁,j₂, δ) realizes a hue change between color C _α and color C _ε, ω _oβε(j₁,j₂, δ) realizes a hue change between color C _ε and color C _β, ω _oθβ(j₁,j₂, δ) realizes a hue change between color C _β and color C _θ, ω _oγθ(j₁,j₂, δ) realizes a hue change between color C _θ and color C _γ, ω _oμγ(j₁,j₂, δ) realizes a hue change between color C _γ and color C _μ, ω _oαμ(j₁,j₂, δ) realizes a hue change between color C _μ and color C _α;

When δ=constant, j ₂ =1, the color mixing samples are respectively regulated by the change of j ₁: omega _oεα(j₁,j₂, delta) to achieve a change in chroma between color C _α and color C ₀, omega _oβε(j₁,j₂, delta) to achieve a change in chroma between color C _ε and color C ₀; omega _oθβ(j₁,j₂, delta) effecting a change in chroma between color C _β and color C _o, omega _oγθ(j₁,j₂, delta) effecting a change in chroma between color C _θ and color C ₀, omega _oμγ(j₁,j₂, delta) effecting a change in chroma between color C _γ and color C ₀, omega _oαμ(j₁,j₂, delta) effecting a change in chroma between color C _μ and color C _o;

,ω_oεα(j₁,j₂,δ),ω_oβε(j₁,j₂,δ),ω_oθβ(j₁,j₂,δ),ω_oγθ(j₁,j₂,δ),ω_oμγ(j₁,j₂,δ),ω_oαμ(j₁,j₂,δ) when δ=1 to 17, achieving a change in gradation as a whole; then enter step D3;

Step D3, obtaining the mass mixing ratio of the seven-primary-color polyester in each ternary dual-coupling mixed color combination on each gray level according to the formula (34) The following are provided:

for ω _oεα(j₁,j₂, δ):

for ω _oβε(j₁,j₂, δ):

for ω _oθβ(j₁,j₂, δ):

for ω _oγθ(j₁,j₂, δ):

for ω _oμγ(j₁,j₂, δ):

for ω _oαμ(j₁,j₂, δ):

Then enter step D4;

Step D4., according to formulas (35) - (40), combining the color values C_α(R_α,G_α,B_α)、C_ε(R_ε,G_ε,B_ε)、C_β(R_β,G_β,B_β)、C_θ(R_θ,G_θ,B_θ)、C_γ(R_γ,G_γ,B_γ)、C_μ(R_μ,G_μ,B_μ), of the six primary color polyesters on each gray level surface to obtain the color value C(j₁,j₂,δ)＝[C_r(j₁,j₂,δ) C_g(j₁,j₂,δ) C_b(j₁,j₂,δ)]^T, of the seven primary color polyesters on each gray level surface as shown in the following formula (42), and then proceeding to step D5;

step D5. according to formulas (35) - (40), combining the mass mixing ratio of the seven-primary polyester omega _α、ω_ε、ω_β、ω_θ、ω_γ、ω_μ、ω_o on the gray-scale surface The dye weights ω_o(j₁,j₂,δ),ω_α(j₁,j₂,δ),ω_ε(j₁,j₂,δ),ω_β(j₁,j₂,δ),ω_θ(j₁,j₂,δ),ω_γ(j₁,j₂,δ),ω_μ(j₁,j₂,δ) to obtain the seven-primary ternary dual-coupling seven-primary polyester are as follows as shown in formula (43):

9. The method for matching color of a three-dimensional mesh-type three-dimensional color of a seven-primary-color polyester and a full color gamut based on gradient gray value construction, which is characterized in that: the step E comprises the following steps E1 to E6;

Step E1, combining six ternary dual-coupling color mixing rectangular gridding models formed by seven-primary color polyester on each gray level surface, realizing the splicing of the same rows among the models in a mode that the same rows at the head and the tail of the models keep one grid, using j ₁ to represent the rows of the spliced models, using ζ to represent the columns of the spliced models, combining the models into a full-hue gridding color mixing model, regulating and controlling the change of all hues and chroma on the gray level surface through the change of j ₁ and ζ, and then entering step E2; ζ=1, 2, … …,60;

Step E2, combining full-color phase gridding color mixing models formed by 17 gray levels according to the delta value order to form a full-color domain gridding color solid, correlating the gray level value on each equal-height gray level with the concentration of the seven-primary-color polyester dye and the polyester color value on the corresponding equal-height gray level, regulating and controlling the change of the hue, the chroma and the gray level of the seven-primary-color polyester in the full-color domain range through the change of j ₁, ζ and delta, and then entering step E3;

step E3. forms grid point coordinates P (j ₁, ζ, δ) based on j ₁, ζ and δ values corresponding to different grid points in the full-color domain gridding color solid, and then a grid point coordinate matrix formed by all grid points in the full-color domain gridding color solid is shown as formula (44), and step E4 is entered;

Step E4. based on the values of j ₁, ζ and δ corresponding to different grid points in the three-dimensional color volume, calculating the mixing ratio of the seven-primary color polyesters corresponding to each grid point through (35) - (40) The following are provided;

/>

Mixing ratio matrix of gamut color space grid points:

Then enter step E5;

Step E5. is based on the blend ratio of the seven-primary polyester corresponding to the grid points Obtaining color values C (j ₁, ζ, delta) of the seven-primary color polyester corresponding to the grid points through a formula (53);

The color matrix of the full-gamut color space grid point:

then enter step E6;

step E6. is based on the mass mixing ratio of the seven-primary polyester omega _α、ω_ε、ω_β、ω_θ、ω_γ、ω_μ、ω_o on the gray scale surface The dye weights ω_o(j₁,j₂,δ),ω_α(j₁,j₂,δ),ω_ε(j₁,j₂,δ),ω_β(j₁,j₂,δ),ω_θ(j₁,j₂,δ),ω_γ(j₁,j₂,δ),ω_μ(j₁,j₂,δ) to obtain the seven-primary ternary dual-coupling seven-primary polyester are as follows as shown in formula (55):

The weighting matrix for the full gamut color space grid points:

/>

10. the method for matching color of a three-dimensional mesh-type three-dimensional color of a seven-primary-color polyester and a full color gamut based on gradient gray value construction, which is characterized in that: the step F comprises the following steps F1 to F4;

F1, constructing a full-color domain gridding color stereoscopic body based on seven-primary-color ternary dual-coupling color mixing, constructing a cylindrical full-color domain gridding color stereoscopic body in a mode of twisting rows on a gray level surface into concentric circles, converting grid point coordinates P (j ₁, ζ, delta) in the cylindrical full-color domain gridding color stereoscopic body into three-dimensional polar coordinates P (j ₁,ζ,δ)＝[θ(j₁,ζ,δ) ρ(j₁,ζ,δ) z(j₁, ζ, delta), obtaining polar angles theta (j ₁, ζ, delta), polar radii rho (j ₁, ζ, delta) and heights z (j ₁, ζ, delta) through a formula (57), and then entering a step F2;

The grid point coordinates can be expressed as:

Step F2., constructing an equal-height gray level visual color spectrum based on an equal-height gray level formed by grid points with equal height coordinates z (j ₁, ζ, delta);

The grid point quality matrix [ T (j ₁, ζ, δ) ] of the equal-height gray level is:

Then enter step F3;

Step F3., constructing a visual color spectrum of the equal-radius color plane based on the equal-radius color plane formed by grid points with equal polar radius coordinates rho (j ₁, ζ, delta);

the grid point quality matrix [ T (j ₁, ζ, delta) ] of the equal radius chroma plane is as follows:

Then enter step F4;

step F4., constructing an equiangular color phase surface visual color spectrum based on the equiangular color phase surfaces formed by grid points with equal polar angle coordinates theta (j ₁, ζ, delta);

the grid point quality matrix [ T (j ₁, ζ, δ) ] of the equal angle color phase surface is:

/>