CN115115717A - Seven-base-color polyester three-dimensional gridding blending three-dimensional color stereo and full-color-domain color matching method based on gradient gray value construction - Google Patents
Seven-base-color polyester three-dimensional gridding blending three-dimensional color stereo and full-color-domain color matching method based on gradient gray value construction Download PDFInfo
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- AJDUTMFFZHIJEM-UHFFFAOYSA-N n-(9,10-dioxoanthracen-1-yl)-4-[4-[[4-[4-[(9,10-dioxoanthracen-1-yl)carbamoyl]phenyl]phenyl]diazenyl]phenyl]benzamide Chemical compound O=C1C2=CC=CC=C2C(=O)C2=C1C=CC=C2NC(=O)C(C=C1)=CC=C1C(C=C1)=CC=C1N=NC(C=C1)=CC=C1C(C=C1)=CC=C1C(=O)NC1=CC=CC2=C1C(=O)C1=CC=CC=C1C2=O AJDUTMFFZHIJEM-UHFFFAOYSA-N 0.000 description 1
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Abstract
The invention relates to a seven-primary-color polyester three-dimensional gridding mixed three-dimensional color stereo and full-color-domain color matching method constructed based on gradient gray scale values, which comprises the steps of firstly constructing a seven-primary-color polyester two-dimensional gridding mixed system based on six-primary-color gray scale balance; secondly, constructing a full-color gamut color stereo of three-dimensional gridding mixed color with 119 grid points by 17 groups of seven-base-color polyesters based on serialized equal-height gray surfaces of gray value incremental gradient division, and associating the gray value on each equal-height gray surface in the color stereo with the concentration and the color value of the seven-base-color polyester dye on the corresponding equal-height gray surface to construct the full-color gamut color stereo capable of regulating and controlling the gray level, the hue and the chroma of the seven-base-color polyesters in the full-color gamut range; then constructing visual chromatograms of 17 equal-height gray surfaces, 60 equal-angle hue surfaces and 10 equal-radius chroma surfaces based on 119 grid points of the full-color gamut color stereo; finally, a method for obtaining the seven-primary-color polyester proportion, the dye concentration and the dye counterweight based on the color value of the polyester sample is provided; the whole design method can provide big data for color prediction and color innovation design of polyester color matching, and realizes intellectualization of color design and application.
Description
Technical Field
The invention relates to a seven-base-color polyester three-dimensional gridding blending three-dimensional color stereo and full-color-domain color matching method based on gradient gray scale values, belonging to the technical field of color regulation and control in the textile industry.
Background
The color includes three dimensions of hue, lightness, chroma and the like, and the panchromatic range of the color is determined by a color space defined by a hue angle of 0-360 degrees, lightness of 0-1 degrees and chroma of 0-1 degrees. The full-color gamut color control means that the change of three dimensions such as hue, lightness and chroma and the like is controlled in a full-color gamut range by controlling the proportion of multiple primary colors, so that the hue angle, the lightness and the chroma of the color are changed in the range of 0-360 degrees, the lightness is changed in the range of 0-1 degrees, and the chroma is changed in the range of 0-1 degrees. This method of color regulation is called a method of full-gamut regulation of color.
In the processes of color matching, color matching and dyeing of textiles, color regulation and control need to be carried out from three dimensions of hue, lightness and saturation, and the hue change of the color is generally regulated and controlled by carrying out color mixing on two groups of adjacent colors in a hue ring; regulating and controlling the brightness change of the color by using a group of color and a group of achromatic color; more than two groups of adjacent colors and one group of achromatic colors are used for mixing colors to regulate and control the chroma change of the colors. In order to obtain rich control ranges of hue, lightness and chroma, at least three kinds of colored polyesters (with the hue difference controlled to be about 120 ℃) and at least one kind of achromatic polyester (white, gray and black) are required to be configured as basic polyester for color mixing.
In the color matching process of polyester, the fashion trend needs to be mastered, the color innovation design is carried out based on the market demand, and the serialized colors are released; secondly, a color model of the polyester and a full-color-domain regulation and control system of the color of the polyester need to be constructed, the corresponding relation between parameters such as hue, lightness and chroma of the polyester and parameters such as mixing ratio of seven-primary-color polyester, dye concentration and dye balance weight is configured clearly, the rapid design and the agile color matching of the color are realized, and the rapid and accurate compound color is facilitated. The following problems mainly exist at present:
1. the color matching of the polyester lacks of a mathematical model and can not provide big data for color innovation and color prediction;
2. the working mode of the polyester color is configured based on experience, so that the defects of long period, low efficiency, influence by subjective factors, unstable working quality and the like exist;
3. in the field of polyester color matching, the fragmentation phenomenon is serious, and a full-color-domain color matching system and a related digital design theory need to be established urgently to realize the intellectualization of color design and application.
Disclosure of Invention
The invention aims to solve the technical problem of providing a seven-primary-color polyester three-dimensional gridding mixed three-dimensional color stereo and full-color-domain color matching method based on gradient gray scale values, and adopting a brand-new color mixing design strategy to realize intellectualization of color design and application.
The invention adopts the following technical scheme for solving the technical problems: the invention designs a seven-primary-color polyester three-dimensional gridding, mixing and blending three-dimensional color stereo and full-color-domain color matching method based on gradient gray scale values, which comprises the following steps:
step A, selecting dyes alpha, epsilon, beta, theta, gamma and mu with hue angle difference of 60 degrees to respectively prepare six primary color polyester omega with omega quality α 、ω ε 、ω β 、ω θ 、ω γ 、ω μ Adjusting the dye concentration to mix the six primary color polyester equally to obtain the RGB color value (128,128,128) and the gray value D o (9) Colorless gray polyester omega 50 mass omega o Forming seven-primary-color polyester containing six-primary-color colored polyester and achromatic gray polyester, obtaining the dye concentration, the color value and the dye balance weight of the six-primary-color colored polyester reaching the gray balance, and entering the step B;
step B, taking seven-primary-color polyester as a base to perform D o (9) Constructing a gridding blending mode of seven-primary-color polyester on a 50-primary-color reference gray level, forming six sets of ternary double-coupling color mixing combinations on the gray level by combining adjacent two-primary-color polyester and achromatic gray polyester corresponding to two color dyes with 60-degree hue angle difference in the seven-primary-color polyester based on a preset reference discrete number corresponding to the polyester quality, namely constructing a two-dimensional gridding blending system of the seven-primary-color polyester, obtaining the mixing ratio, the color value, the dye concentration and the dye balance weight of the seven-primary-color polyester on the gray level, and entering the step C;
and C, dividing 17 gray levels at equal intervals from light to dark based on gray polyester gray values to obtain gray values corresponding to the 17 gray levels respectively, and obtaining 17 gray levels corresponding to the gray polyester dye concentration lambda from low concentration to high concentration through a preset test o (delta) and color value C thereof o (delta) associating the gray values on all equal-height gray surfaces with the concentrations of the seven-primary-color polyester dye and the polyester color values on the corresponding equal-height gray surfaces based on data fitting, and further obtaining the concentrations lambda of the six-primary-color polyester dye corresponding to 17 gray levels respectively α (δ)、λ ε (δ)、λ β (δ)、λ θ (δ)、λ γ (δ)、λ μ (delta) and color values C thereof α (δ)、C ε (δ)、C β (δ)、C θ (δ)、C γ (δ)、C μ (δ) then proceed to step D; δ represents a gray level;
d, constructing 17 gray planes by combining a seven-primary-color ternary dual coupling color mixing mode based on the dye concentration and the color value of the seven-primary-color polyester respectively corresponding to the 17 gray levels, further obtaining the mixing ratio, the color value and the dye balance weight of the seven-primary-color polyester on the 17 gray planes, and then entering the step E;
e, forming a full-hue gridding color mixing model through six sets of ternary double coupling color mixing combinations on each gray scale surface, constructing a full-color gamut color stereo of three-dimensional gridding color mixing composed of 119 grid points of 17 sets of seven-primary-color polyesters on the basis of serialized equal-height gray scale surfaces of gray scale value incremental gradient division, associating the gray scale value on each equal-height gray scale surface in the full-color gamut color stereo with the concentration of the seven-primary-color polyester dye and the color value of the polyester on the corresponding equal-height gray scale surface, further obtaining the coordinates, the color value, the mixing ratio of the seven-primary-color polyesters and the dye balance weight of grid points in the full-color gamut gridding color stereo, and entering the step F;
and F, twisting the full-color-domain gridding color solid into a concentric circle mode according to the lines on each gray surface to construct a cylindrical full-color-domain gridding color solid, and constructing an equal-height gray surface visualization chromatogram, an equal-radius chroma surface visualization chromatogram and an equal-angle hue surface visualization chromatogram of the full-color-domain gridding color solid according to the three-dimensional polar coordinates of the grid points.
Compared with the prior art, the seven-base-color polyester three-dimensional gridding, mixing and three-dimensional color stereo and full color domain color matching method based on the gradient gray scale value has the following technical effects:
the invention designs a seven-primary-color polyester three-dimensional gridding mixed three-dimensional color stereo and full-color-domain color-matching method based on gradient gray scale values, firstly, a seven-primary-color polyester two-dimensional gridding mixed system is constructed based on six-primary-color gray scale balance; secondly, constructing a three-dimensional gridding color-mixing full-gamut color stereo which is formed by 119 grid points of 17 groups of seven-base-color polyester in total on the basis of serialized equal-height gray surfaces of gray value incremental gradient division, and associating the gray value on each equal-height gray surface in the color stereo with the concentration and the color value of the seven-base-color polyester dye on the corresponding equal-height gray surface to construct the full-gamut color stereo which can regulate and control the gray level, the hue and the chroma of the seven-base-color polyester in the full-gamut range; then constructing visual chromatograms of 17 equal-height gray surfaces, 60 equal-angle hue surfaces and 10 equal-radius chroma surfaces based on 119 grid points of the full-color gamut color stereo; finally, a method for obtaining the seven-primary-color polyester proportion, the dye concentration and the dye counterweight based on the color value of the polyester sample is provided; the whole design method can provide big data for color prediction and color innovation design of polyester color matching, and realizes intellectualization of color design and application.
Drawings
FIG. 1 is a schematic flow chart of a three-dimensional gridding mixed three-dimensional color stereo and full-color-domain color matching method of seven-base-color polyester constructed based on gradient gray scale values according to the present invention;
FIG. 2 is a diagram illustrating a seven primary color distribution diagram according to the present invention;
FIGS. 3a and 3b are graphs showing a curve fit of gray polyester dye concentration versus gray scale value for a design of the invention;
FIG. 4 shows a schematic diagram of a panchromatic gridding color mixing model;
FIG. 5 shows a schematic perspective view of a full-gamut gridded color;
FIG. 6 shows a cylindrical full gamut gridded colors perspective view;
FIG. 7 is a schematic diagram of a series of seven-primary-color polyesters (master batches) with equal chroma and different hues;
FIG. 8 is a schematic diagram of a series of seven-primary-color polyesters (master batches) with equal hue and different chroma;
fig. 9 is a schematic diagram of an isochromatic surface gridding model.
Detailed Description
The following description will explain embodiments of the present invention in further detail with reference to the accompanying drawings.
The invention designs a three-dimensional gridding mixed three-dimensional color stereo and full-color-domain color-adjusting and matching method of seven-base-color polyester based on gradient gray value construction, firstly invents a gridding two-dimensional mixed system of seven-base-color polyester based on gray balance construction, and the characteristics of the gridding mixed system of seven-base-color polyester are as follows: six-primary-color colored polyester omega matched at 60-degree hue angle α ,ω ε ,ω β ,ω θ ,ω γ ,ω μ Mixing six primary color polyester equally based on gray value 50(RGB128,128,128), regulating and controlling the mixed polyester to reach gray balance (gray value 50) by changing the dye concentration of the six primary color polyester, and collecting the obtained grayThe six primary color polyester with the same amount of degree balance is mixed to obtain gray polyester omega o Therefore, a seven-primary-color polyester mixed system containing six primary colors and gray is constructed.
Constructing a ternary dual-coupling blending mode, combining seven-primary-color polyester with balanced gray scale into six ternary dual-coupling blending submodels, and assembling the six blending submodels into a full-hue 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 mixing model, and the color phase regulation between 0 and 360 degrees and the chroma regulation between 0 and 1 are realized for the seven-primary-color polyester mixing through regulating and controlling the mixing ratio.
And then realizing three-dimensional full color gamut color stereo of three-dimensional gridding blending based on a seven-primary color blending system with different gray levels, wherein the characteristics of the color stereo are as follows: the color stereo comprises three dimensions, the polar angle of the three-dimensional color stereo is used for representing hue and polar radius for representing chroma, the gray scale is highly represented, and the color gamut range of the three-dimensional full color gamut color stereo is as follows: hue is 0-360 degrees, chroma is 0-1, and gray scale is 2-98.
Dividing a 360 full-color gamut polar angle of the three-dimensional color solid into 30 equal parts, dividing a polar radius into 10 equal parts, dividing 17 equal parts from a light gray plane, a reference gray plane and a dark gray plane, and obtaining 660 × 17-11220 grid points, wherein the three-dimensional polar coordinate value on each grid point is used for: polar angle, polar radius, hue, chroma and gray value corresponding to height represent color value of the grid point, mixing ratio of seven-primary-color polyester and dye balance weight.
In a seven-primary-color mixing system, taking gray polyester as a reference, taking a gray surface with a gray value equal to 50 as a reference gray surface, taking a gray surface with a gray value equal to 2 as a light gray surface, and taking a gray surface with a gray value equal to 98 as a deep gray surface; 17 gray planes are planned with gray 6 as the ascending and descending gradient.
Selecting a change range of gray polyester dye concentration according to the planned gray value range of 17 gray surfaces, sampling and testing a pre-test of color values of the gray polyester dye through gradient change of the gray polyester dye concentration, and acquiring a functional relation between the gray polyester dye concentration and the gray value or a functional relation between the gray polyester dye concentration and the dye concentration by adopting a curve fitting method; and according to the fitted functional expression, correlating the gray value on each equal-height gray 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 surface, and calculating to obtain the corresponding concentration of the gray polyester dye based on the gray value and the corresponding gray value based on the concentration of the gray polyester dye.
Specific dye concentrations (119 in total) of the seven-primary-color polyesters on the equal-height gray planes can be obtained based on the dye concentrations of the gray polyesters on the 17 gray planes of the full-color gamut color stereo and the ratio of the dye concentrations of the seven-primary-color polyesters in gray balance.
Based on the specific dye concentration of the seven-primary-color polyester on each equal-height gray level surface of the full-color gamut color cube, sampling to obtain a seven-primary-color polyester sample on each equal-height gray level surface, and obtaining the color value of the seven-primary-color polyester on each equal-height gray level surface through a light splitting color measuring instrument; based on a planned gray scale and a seven-primary-color gridding mixing mode planned on each equal-height gray scale, a full-color gamut color stereo including 660 × 17-11220 grid points can be constructed, the color value, the concentration value and the seven-primary-color polyester mixing ratio of each grid point, parameters such as three-dimensional polar coordinates (the hue represents the polar angle, the chroma represents the radius and the gray scale represents the height) of each grid point and the like are used for expressing the color gamut stereo in a full-color gamut range, and the color hue regulation between 0 and 360 degrees, the chroma regulation between 0 and 1 and the gray scale regulation between 2 and 98 are realized for the seven-primary-color polyester mixing.
Then, based on a method for regulating and controlling the gray level, the hue and the chroma of the seven-primary-color polyester in a full color gamut range by a gridding mixed three-dimensional color solid, based on the constructed seven-primary-color polyester gridding mixed full color gamut solid, and by taking the gray values corresponding to 17 gray surfaces as the reference, obtaining the color values of 17 groups of 119 primary-color polyesters in total on each equal-height gray surface; on each gray level surface, based on a seven-primary-color polyester gridding blending system, the hue of the mixed polyester is regulated and controlled to change within the range of 0-360 degrees and the chroma of the mixed polyester is regulated and controlled to change within the range of 0-1 through the change of the blending ratio of the six-primary-color colored polyester on 660 grid points on each equal-height gray level surface; the gray value change of the seven-primary-color polyester on 17 gray surfaces is regulated and controlled through the change of the concentration of the corresponding six-primary-color polyester dye on 17 different gray surfaces, so that the gray value change of 660 grid points on each gray surface is regulated and controlled within the range of 2-98; based on the regulation and control means, the regulation and control of the gray level, the hue and the chroma of 660, 17, 11220 grid points in the color cube in the full-color-gamut range are realized.
And then constructing a full-color-gamut color stereoscopic visual chromatogram from three dimensions of the equal-height gray level surface, the equal-angle color phase surface and the equal-radius chroma surface based on a full-color-gamut color stereoscopic gridding matrix chromatogram constructed by the equal-height gray level surface, the equal-angle color phase surface and the equal-radius chroma surface.
Height z (j) of color volume according to full color gamut 1 ζ and δ) is 1,2, … and 17, the color stereo is divided into 17 equal-height gray scale planes, and an equal-height gray scale plane color spectrum matrix is planned through coordinates on the 17 equal-height gray scale planes, so that the visualization of the equal-height gray scale plane color spectrum of the full-color gamut color stereo is realized.
By polar angular coordinates theta (j) of full gamut color volume 1 ζ, δ) is 1,2, …,60, and the color stereo is divided into 60 equiangular color planes, and an equiangular color plane color spectrum matrix is planned through coordinates on the 60 equiangular color planes, so that the visualization of the equiangular color plane color spectrum of the full-color gamut color stereo is realized.
Polar radius rho (j) of color volume according to full color gamut 1 Zeta, delta) value j 1 1,2, …,11, the color solid is divided into 11 equal radius chroma surfaces, and the equal radius chroma surface color spectrum matrix is planned through the coordinates on the 11 equal radius chroma surfaces, thereby realizing the visualization of the equal radius chroma surface color spectrum of the full color gamut color solid.
And then construct the process method of the full color gamut color stereoscopic based on 119 primary color polyesters on 17 gray planes, based on the full color gamut color stereoscopic constructed, divide seven primary color polyesters into 17 grades according to the gray value, each gray level disposes seven primary color polyesters, the meshing based on seven primary color polyesters mixes and can get 660 polyesters of different colors, can get 17 gray levels on 17 gray planes and totalize 660 by 17 11220 polyesters of colors, construct the full color gamut color stereoscopic based on 660 by 17 by 11220 colors of polyesters.
And finally, acquiring the mixing ratio of the seven-primary-color polyester of the sample with the known color value based on the constructed full-color gamut color cube, and acquiring the mixing ratio of the seven-primary-color polyester of the sample by a color value retrieval method of the full-color gamut color cube according to the known color value of the sample. The color values of the samples are known as C (H, S, L), and H, S, L are searched nearby in the grid point color values of the full color gamut solid respectively to obtain the condition that H (j) is simultaneously satisfied 1 ,ζ * ,δ)≤H*≤H(j 1 ,ζ * +1,δ)，
D(j 1 ,ζ,δ * )≤D*≤D(j 1 ,ζ,δ * +1), and locating the grid point coordinate position of the known sample color value C (H, S, L) according to the coordinate position of the 8 grid points in the full color gamut solid, discussing the case by case according to the relative position proportion in the coordinate positions of the known sample color and the 8 grid point colors, expressing the coordinate position of the known sample color 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 gamut solid.
The invention designs a seven-primary-color polyester three-dimensional gridding mixed three-dimensional color stereo and full-color-domain color-matching method based on gradient gray value, in practical application, a full-color-domain gridding color stereo is constructed based on a seven-primary-color polyester mixed system consisting of six-primary-color polyester and gray polyester with gray balance, and the specific technical route flow is shown in figure 1. Six primary color dyes with 60-degree hue difference are obtained through optimization of the dyes, sampling is carried out through adjustment of the concentration of the six primary color polyester dyes to obtain the dye concentration ratio and the color value of the six primary color polyester with balanced gray scale, a seven-primary color polyester blending system formed by the six primary color polyester and gray polyester blended by the six primary color polyester is established, 6 ternary double-coupling blending submodels are established through mass dispersion of the seven-primary color polyester, and the gray scale surface is formed through combination. Planning 17 equal-height gray surfaces with equal gray intervals based on gray values of gray polyester, sampling through gradient change of gray polyester dye concentration, testing and obtaining a pre-test of corresponding color values of the gray polyester dye concentration, obtaining a function relation between the gray polyester dye concentration and the gray values, calculating to obtain the corresponding gray polyester dye concentration based on the gray values, calculating the corresponding seven-primary-color polyester dye concentration on the 17 equal-height gray surfaces according to the concentration ratio of the seven-primary-color polyester dye in gray balance, sampling and obtaining the color values of the seven-primary-color polyester dye. And constructing a full-color-domain gridding color solid containing three-dimensional polar coordinate values, color values, mixing ratios and dye weights of grid points based on the concentration and color values of the seven-primary-color polyester dye on 17 gray surfaces and a seven-primary-color full-color phase color mixing model. And constructing a full-color gamut color three-dimensional visual color spectrum through an equal-height gray surface, an equal-radius chroma surface and an equal-angle hue surface. And searching and positioning the sample color according to the full-color-domain gridding color stereo, and outputting a minimum distance grid point formula through distance calculation to mix the sample color.
The invention designs a seven-primary-color polyester three-dimensional gridding, mixing and blending three-dimensional color stereo and full-color-domain color matching method constructed based on gradient gray scale values, and as shown in figure 1, the following steps A to F are executed.
According to the principle of six-primary-color dye color matching, the hue, the lightness and the chroma of the mixed polyester are desirably regulated and controlled through the mixing ratio change of the six-primary-color colored polyester, if the six-primary-color colored polyester is mixed according to equal proportion, a standard gray polyester system can not be obtained, and the color value of the mixed polyester can be regulated and controlled through the color value of the standard gray and the dye concentrations of the six-primary-color colored polyester are matched with each other, so that the color value of the mixed body meets the requirement of the standard gray. And obtaining six-primary-color polyester with matched concentration through the gray balance, and constructing a seven-primary-color polyester color matching system according to the six-primary-color polyester, so as to regulate and control the polyester color matching.
Step A, selecting dyes alpha, epsilon, beta, theta, gamma and mu with hue angle differences of 60 degrees to respectively prepare six primary color polyesters omega with omega quality after a large number of experimental screenings so as to enable the color gamut of the actual mixture to be as large as possible α 、ω ε 、ω β 、ω θ 、ω γ 、ω μ The following three ways are adopted:
adjusting the dye concentration to mix six primary color polyesters in equal amount to obtain an RGB color value (128,128,128) and a gray value D o (9) 50 mass omega grey polyester omega o Forming seven-primary-color polyester containing six-primary-color colored polyester and achromatic gray polyester, obtaining the dye concentration, the color value and the dye weight of the six-primary-color colored polyester reaching the gray balance, and then entering the step B.
The dye concentrations of the six primary color polyester in gray balance are respectively as follows:
the RGB color values of the red, green and blue are respectively C measured by a color measuring instrument 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 ) The distribution in the hue circle is shown in FIG. 2, and the gray scale is balanced by six primary color polyester ω α ,ω ε ,ω β ,ω θ ,ω γ ,ω μ ω γ And gray polyester omega o The polyester is called seven-primary-color polyester, and the seven-primary-color polyester is prepared on the basis of the seven-primary-color polyester to construct a seven-primary-color polyester mixing system.
Step B, taking seven-primary-color polyester as a base to perform D o (9) Constructing a gridding mixing mode of seven-primary-color polyester on a 50-primary-color reference gray level, and forming six groups of ternary dual-coupling color mixing combinations on the gray level by combining adjacent two-primary-color polyester and achromatic gray polyester corresponding to two color dyes with 60-degree hue angle difference in the seven-primary-color polyester based on a preset reference discrete number corresponding to the polyester quality, namely forming the seven-primary-color ternary dual-coupling mixed combination on the gray levelAnd C, establishing a color mode, constructing a two-dimensional gridding mixing system of the seven-primary-color polyester, obtaining the mixing ratio, the color value, the dye concentration and the dye balance weight of the seven-primary-color polyester on the gray plane, and entering the step C.
In practical applications, the step B includes the following steps B1 to B5.
B1, forming six sets of ternary double-coupling color mixing combinations on the gray surface by combining primary color polyester corresponding to two dyes with 60-degree color phase angle difference in the seven-primary color polyester and gray polyester based on the seven-primary color polyester on the reference gray surface and the preset reference discrete number corresponding to the polyester quality, wherein the quality omega of the six sets of ternary double-coupling color mixing combinations on the gray surface is omega oεα (j 1 ,j 2 ,j 3 )、ω oβε (j 1 ,j 2 ,j 3 )、ω oθβ (j 1 ,j 2 ,j 3 )、ω oγθ (j 1 ,j 2 ,j 3 )、ω oμγ (j 1 ,j 2 ,j 3 )、ω oαμ (j 1 ,j 2 ,j 3 ) The following:
wherein: j is a function of 1 ,j 2 ,j 3 ＝1,2,3,…,10,11，ω α Denotes the mass of the dye alpha corresponding to the primary-color polyester having mass omega, omega β Denotes the mass of the dye beta corresponding to the primary-color polyester having mass omega, omega γ Denotes the mass of the primary polyester corresponding to the mass omega of the dye gamma, omega ε Denotes the mass of the dye ε corresponding to the primary color polyester with mass ω, ω θ Denotes the mass of the dye θ corresponding to the primary-color polyester having mass ω, ω μ Denotes the mass of the dye μ corresponding to the primary-color polyester having a mass ω o Representing the mass of the grey polyester of mass omega, and then proceeds to step B2.
Step B2. according to omega α ＝ω β ＝ω γ ＝ω ε ＝ω θ ＝ω μ ＝ω o ω, and
ω oεα (j 1 ,j 2 ,j 3 )＝ω oβε (j 1 ,j 2 ,j 3 )＝ω oθβ (j 1 ,j 2 ,j 3 )＝ω oγθ (j 1 ,j 2 ,j 3 )＝ω oμγ (j 1 ,j 2 ,j 3 )＝ω oαμ (j 1 ,j 2 ,j 3 ) With double coupled color mixing definition, equation (3) is obtained as follows:
j 3 ＝12-j 2 (3)
and bringing formula (3) into formula (2) to obtain formula (4) as follows, and then proceeding to step B3;
the above formula reflects the mode of double coupling color mixing of adjacent primary color polyester corresponding to two color dyes with 60 degree hue angle difference selected from seven primary color polyester and 1 achromatic gray polyester, and passes through the parameter j related to chroma 1 A hue-related parameter j 2 The change of the coupling can further regulate and control the change of the hue and the chroma of the polyester.
When j is 1 When 1, by j 2 The color mixture sample can be respectively regulated and controlled by the change of (2): omega oεα (j 1 ,j 2 ) Realization of color C α And color C ε Change in hue between, ω oβε (j 1 ,j 2 ) To realize a color C ε And color C β Change in hue between, ω oθβ (j 1 ,j 2 ) To realize a color C β And color C θ Change in hue between, ω oγθ (j 1 ,j 2 ) Realization of color C θ And color C γ Change in hue between, ω oμγ (j 1 ,j 2 ) Realization of color C γ And color C μ Change in hue between, ω oαμ (j 1 ,j 2 ) Realization of color C μ With color C α Change in hue in between.
When j is on 2 When 1, by j 1 Can respectively regulate and control the color mixture sample: omega oεα (j 1 ,j 2 ) Realization of color C α With color C 0 Change in chroma between, omega oβε (j 1 ,j 2 ) To realize a color C ε And color C 0 The chroma change in between; omega oθβ (j 1 ,j 2 ) Realization of color C β With color C o Change in chroma between, omega oγθ (j 1 ,j 2 ) Realization of color C θ With color C 0 Chroma variation between, omega oμγ (j 1 ,j 2 ) Realization of color C γ And color C 0 Change in chroma between, omega oαμ (j 1 ,j 2 ) Realization of color C μ And color C o The chroma change in between.
When j is on 1 ,j 2 When 1,2,3, …,10,11, the mixture is ω oεα (j 1 ,j 2 ),ω oβε (j 1 ,j 2 ),ω oθβ (j 1 ,j 2 ),ω oγθ (j 1 ,j 2 ),ω oμγ (j 1 ,j 2 ),ω oαμ (j 1 ,j 2 ) And the change of hue and chroma is realized.
From the above analysis, it can be seen that the value of ω is oεα (j 1 ,j 2 ),ω oβε (j 1 ,j 2 ),ω oθβ (j 1 ,j 2 ),ω oγθ (j 1 ,j 2 ),ω oμγ (j 1 ,j 2 ),ω oαμ (j 1 ,j 2 ) Of the six color matching submodels, j 1 Is a variable j for controlling chroma 2 Is a variable for regulating hue.
And B3, obtaining the seven-primary-color polyester omega in six groups of ternary double-coupling color mixing combinations on the reference gray level surface according to the formula (4) α 、ω ε 、ω β 、ω θ 、ω γ 、ω μ 、ω o Mass mixing ratio of
The following were used:
for omega oεα (j 1 ,j 2 )：
For omega oβε (j 1 ,j 2 )：
For omega oθβ (j 1 ,j 2 )：
For omega oγθ (j 1 ,j 2 )：
For omega oμγ (j 1 ,j 2 )：
For omega oαμ (j 1 ,j 2 )：
Step B4 is then entered.
Step B4. combines the seven primary color polyester ω on the reference gray plane according to equations (5) - (10) o 、ω α 、ω ε 、ω β 、ω θ 、ω γ 、ω μ Color value C of 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 ) Calculating the color value C (j) of the seven-primary-color polyester on the reference gray level 1 ,j 2 )＝[C r (j 1 ,j 2 ) C g (j 1 ,j 2 ) C b (j 1 ,j 2 )] T As shown in equation (12), and then proceeds to step B5.
Step B5. combines the seven primary color polyester ω on the reference gray plane according to equations (5) - (10) α 、ω ε 、ω β 、ω θ 、ω γ 、ω μ 、ω o Mass mixing ratio of
Then the dye counterweight omega of seven-primary-color ternary dual-coupling seven-primary-color polyester is obtained o (j 1 ,j 2 ),ω α (j 1 ,j 2 ),ω ε (j 1 ,j 2 ),ω β (j 1 ,j 2 ),ω θ (j 1 ,j 2 ),ω γ (j 1 ,j 2 ),ω μ (j 1 ,j 2 ) As shown in formula (13) below:
and C, dividing 17 gray levels at equal intervals from light to dark based on the gray polyester gray value to obtain 17 gray levels respectively corresponding to the gray levelsThe value is obtained through a preset test, and 17 gray levels corresponding to the concentration lambda of the gray polyester dye from low concentration to high concentration are obtained o (delta) and color value C thereof o (delta) associating the gray values on all equal-height gray surfaces with the concentrations of the seven-primary-color polyester dye and the polyester color values on the corresponding equal-height gray surfaces based on data fitting, and further obtaining the concentrations lambda of the six-primary-color polyester dye corresponding to 17 gray levels respectively α (δ)、λ ε (δ)、λ β (δ)、λ θ (δ)、λ γ (δ)、λ μ (delta) and color values C thereof α (δ)、C ε (δ)、C β (δ)、C θ (δ)、C γ (δ)、C μ (δ) then proceed to step D; δ represents a gray scale, and δ is light gray when δ is 1, medium gray when δ is 9, and dark gray when δ is 17.
In practical applications, the step C includes the following steps C1 to C5.
C1, dividing 17 gray levels at equal intervals from light to dark based on gray polyester gray values, and dividing gray polyester gray values D on the 17 th gray level surface o (17) And the gray level D of the gray polyester on the 1 st gray level o (1) According to the following formula (14):
D o (δ)＝D o (1)+(δ-1)×(D o (17)-D o (1))/16 (14)
obtaining the gray value D corresponding to the gray polyester on each gray level gray surface o (δ) and then proceeds to step C2.
In applications, such as taking D o (1)＝2,D o (9)＝50,D o (17) D is calculated as 98 and Δ is 6 o (1) To D o (17) Specific values of (b) are shown in table 1.
TABLE 1
| Serial 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) |
| |
2 | 8 | 14 | 20 | 26 | 32 | 38 | 44 | 50 | 56 | 62 | 68 | 74 | 80 | 86 | 92 | 98 |
Step C2. is based on six primary color dyes α, ε, β, θ, γ, μ, in dye weight p α ,p ε ,p β ,p θ ,p γ ,p μ And dye concentration of polyester
Six primary color polyesters omega with the mass omega respectively α ,ω ε ,ω β ,ω θ ,ω γ ,ω μ By blending
Configuration [ p ] α +p β +p γ ]/3, making the grey value of its mixture equal to the reference grey value D o (9) 50; by blending
Configuration [ p ] ε +p θ +p μ ]/3, making the grey value of its mixture equal to the reference grey value D o (9) 50; by formulating lambda α ,λ ε ,λ β ,λ θ ,λ γ ,λ μ Configuration [ p ] α +p ε +p β +p θ +p γ +p μ ](vi)/6, making the grey value of its mixture equal to the reference grey value; the gray polyester obtained based on six-primary-color polyester regulation is O, and the mass of the gray polyester is omega o Gray polyester dye concentration of lambda o ；
Setting: lambda [ alpha ] 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 And 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)
combining 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 respectively:
then based on the configured gray polyester dye concentrations, the dye concentrations for the six primary color polyester on the gray scale are obtained as follows:
the dye weights for the six primary color colored polyester on the gray scale, based on the configured gray polyester dye weights, are obtained as follows:
based on the above operation, through the gray balance experiment, the reference gray value D can be obtained o (9) Defining a gray value D of a seven-base color polyester color matching system with 50 equal-height gray scale surfaces o (9) The equal-height gray level of 50 is the reference gray level of the color solid.
At the gray value D o (9) In a seven-base color polyester color matching system with 50 equal-height gray scale surfaces, the dye weight and the dye concentration of the seven-base color polyester can be obtained through experimental means, and the dye weight and the dye concentration are obtained in D o (9) On an equal height gray scale plane of 50, the ratio of the dye weight of the seven-base color polyester is equal to and constant with the ratio of the dye concentration of the seven-base color polyester.
Then at the grey value D o (9) Acquiring the dye weight of the seven-primary-color polyester on the equal-height gray level of 50 on the basis of the dye weight of the gray polyester and the ratio of the six-primary-color polyester to the gray polyester dye weight; acquiring the dye concentration of the seven-primary-color polyester on the height gray level surface based on the dye concentration of the gray polyester and the ratio of the six-primary-color polyester to the gray polyester dye concentration; then proceed to step C3.
Step C3. is to obtain the concentrations λ of the mixed dyes respectively corresponding to the gray polyester on each gray level gray surface based on the function relationship fitted between the gray polyester gray value and the dye concentration obtained in advance o (δ), then proceed to step C4; wherein λ is o (δ) represents the concentration of the mixed dye corresponding to the gray polyester on the δ -th gray scale gray plane.
The data of gray polyester dye concentration versus gray value obtained by the test in step C3 above is 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 |
| Grey 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 practical applications of the above step C3, if the gray-level value of polyester is used as the independent variable x and the dye concentration is used as the dependent variable y, as shown in fig. 3a, the function relationship of the fitted curve between the gray-level value of polyester obtained in advance and the corresponding dye concentration is as follows:
y＝a(1-b x )
wherein, a is-0.00119, and b is 1.07529.
If the dye concentration is used as the independent variable x and the polyester gray scale value is used as the dependent variable y, as shown in fig. 3b, the function relationship of the fitting curve between the previously obtained polyester gray scale value and the corresponding dye concentration is as follows:
wherein, y 0 ＝97.47369,A 1 ＝-49.66897,t 1 ＝-0.38141,A 2 ＝-50.47966,t 2 ＝-0.00878。
The gray polyester dye concentrations corresponding to the gray values of the different gray surfaces can be obtained as shown in table 3.
TABLE 3
| Serial number | D 1 | D 2 | D 3 | D 4 | D 5 | D 6 | D 7 | D 8 | D 9 |
| |
2 | 8 | 14 | 20 | 26 | 32 | 38 | 44 | 50 |
| Concentration of dye | 0.00103 | 0.00142 | 0.00212 | 0.00389 | 0.00671 | 0.0110 | 0.01766 | 0.02793 | 0.04382 |
| Serial number | D 10 | D 11 | D 12 | D 13 | D 14 | D 15 | D 16 | D 17 | |
| Grey scale value | 56 | 62 | 68 | 74 | 80 | 86 | 92 | 98 | |
| Concentration of dye | 0.06837 | 0.10631 | 0.16463 | 0.25562 | 0.39573 | 0.61229 | 0.94701 | 1.46452 |
The gray values D on 17 equal-height gray surfaces can be obtained based on Table 3 o (delta) and corresponding dye concentration lambda of the grey polyester o (delta) with the dye weight p o (δ) is represented by the following number sequence:
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)
c4, according to the concentration lambda of the gray polyester dye on each gray level gray surface o (delta) obtaining dye concentrations lambda corresponding to the six primary color dyes alpha, epsilon, beta, theta, gamma and mu on each gray scale gray surface α (δ)、λ ε (δ)、λ β (δ)、λ θ (δ)、λ γ (δ)、λ μ (δ) and then proceeds to step C5.
In the practical application of the step C4, the gray polyester dye concentration lambda in each gray scale gray plane is determined o (delta) dye weight p o (δ) and a dye concentration of the six primary color polyester in each gray scale gray plane of λ α (δ),λ β (δ),λ γ (δ),λ ε (δ),λ θ (δ),λ μ (delta.) of a six-primary-color colored polyesterWeight of dye p α (δ),p ε (δ),p β (δ),p θ (δ),p γ (δ),p μ (δ) according to formulae (15) to (20), the following formulae (21), (22) are obtained;
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 each gray level gray surface, the ratio is as shown in formula (23):
further based on the formula (19), the dye density value lambda of the six primary color polyester on each gray scale surface is obtained α (δ)、λ β (δ)、λ γ (δ)、λ ε (δ)、λ θ (δ)、λ μ (δ) is as in formula (24):
namely obtaining the dye concentration lambda of the seven-primary-color polyester on each gray scale gray level surface α (δ),λ ε (δ),λ β (δ),λ θ (δ),λ γ (δ),λ μ (δ),λ o (δ) the dye concentration of the seven primary color polyester on each gray scale plane is recorded as
As in formula (25):
further, the dye concentration for obtaining 119 base color polyesters in total on all 17 gray scale gray planes can be recorded as λ Σ As shown in formula (26):
step C5. is performed according to the dye concentration λ of the seven primary color polyester on each gray scale surface α (δ)、λ ε (δ)、λ β (δ)、λ θ (δ)、λ γ (δ)、λ μ (δ)、λ o (delta), obtaining color value C of seven primary colors polyester on each gray scale surface by proofing α (δ)、C ε (δ)、C β (δ)、C θ (δ)、C γ (δ)、C μ (δ)、C o (δ)。
In the step C5, the dye concentration λ of the seven primary color polyester on each gray scale surface is determined α (δ)、λ ε (δ)、λ β (δ)、λ θ (δ)、λ γ (δ)、λ μ (δ)、λ o (delta) color value C of polyester of seven primary colors on each gray scale gray plane α (δ)、C ε (δ)、C β (δ)、C θ (δ)、C γ (δ)、C μ (δ)、C o (δ) then the color values of the seven primary color polyesters on each gray scale plane are recorded as
The following were used:
or:
the color value of 119 primary color polyesters in total on all 17 gray scale gray planes is recorded as C Σ The following were used:
or the color values of all seven-primary-color polyester on 17 equal-height gray surfaces in the color solid are as follows:
and D, constructing 17 gray surfaces by combining a seven-primary-color ternary double-coupling color mixing mode based on the dye concentration and the color value of the seven-primary-color polyester respectively corresponding to the 17 gray levels, further obtaining the mixing ratio, the color value and the dye balance weight of the seven-primary-color polyester on the 17 gray surfaces, and then entering the step E.
The gray value of the reference gray level surface is taken as the reference, and the dye concentration of the seven-primary-color polyester is
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, formula (22) can be substituted:
ε 1 :ε 2 :ε 3 :ε 4 :ε 5 :ε 6 ＝1.249:0.572:1.178:0.911:0.875:1.214 (31)
let alpha be yellow dye, beta be cyan dye, gamma be magenta dye, epsilon be green dye, theta be violet dye, mu be orange dye; the dye concentrations of the seven-primary-color polyester on each equal-height gray scale surface can be obtained based on the formula (31) and table 3, then the seven-primary-color polyester is prepared according to the respective seven-primary-color polyester dye concentrations on 17 gray scale surfaces, so that 119 primary-color polyester color yarn samples in total can be obtained, and the color values of the color yarn samples are respectively tested by using a color measuring instrument, as shown in table 4.
TABLE 4
In practical applications, the step D includes steps D1 to D5.
Step D1, forming seven primary color polyesters on each gray scale surface by using six primary color polyesters on each gray scale surface and gray polyesters, and forming six groups of ternary double-coupling color mixing combinations, namely omega, on each gray scale surface by using combinations of the primary color polyesters corresponding to two dyes with 60-degree hue angle difference in the seven primary color polyesters and the gray polyesters based on preset reference discrete numbers corresponding to the polyester quality o (j 1 ,δ)-ω ε (j 2 ,δ)-ω α (j 3 ,δ),ω o (j 1 ,δ)-ω β (j 2 ,δ)-ω ε (j 3 ,δ),ω o (j 1 ,δ)-ω θ (j 2 ,δ)-ω β (j 3 ,δ),ω o (j 1 ,δ)-ω γ (j 2 ,δ)-ω θ (j 3 ,δ),ω o (j 1 ,δ)-ω μ (j 2 ,δ)-ω γ (j 3 ,δ),ω o (j 1 ,δ)-ω α (j 2 ,δ)-ω μ (j 3 ,δ)。
Wherein the quality omega of each ternary dual-coupling color mixing combination on each gray level surface oεα (j 1 ,j 2 ,j 3 ,δ),ω oβε (j 1 ,j 2 ,j 3 ,δ),ω oθβ (j 1 ,j 2 ,j 3 ,δ),ω oγθ (j 1 ,j 2 ,j 3 ,δ),ω oμγ (j 1 ,j 2 ,j 3 ,δ),ω oαμ (j 1 ,j 2 ,j 3 δ) is as follows:
wherein j is 1 ,j 2 ,j 3 ＝1,2,3,…,10,11,δ＝1,2,...,16,17，ω α (delta) represents the mass of the primary-color polyester having the mass omega at the delta gray scale level corresponding to the dye alpha, omega ε (delta) represents the mass of the primary-color polyester having a mass omega at a gray scale of delta corresponding to the dye epsilon, omega β (delta) represents the mass of the primary polyester with the mass omega at the delta gray scale level corresponding to the dye beta, omega θ (delta) represents the mass of the primary-color polyester having a mass omega at the delta-th gray scale for the dye theta, omega γ (delta) represents the mass of the primary polyester with the mass omega at the delta gray scale level corresponding to dye gamma, omega μ (delta) represents the mass of the primary-color polyester having a mass omega at a gray scale level of delta corresponding to the dye mu, omega o (δ) represents the mass of the gray polyester with mass ω at the δ -th gray level; then proceed to step D2.
Step D2. is based on ω α (δ)＝ω β (δ)＝ω γ (δ)＝ω ε (δ)＝ω θ (δ)＝ω μ (δ)＝ω o (δ) ═ ω, and ω oεα (j 1 ,j 2 ,j 3 ,δ)＝ω oβε (j 1 ,j 2 ,j 3 ,δ)＝ω oθβ (j 1 ,j 2 ,j 3 ,δ)＝ω oγθ (j 1 ,j 2 ,j 3 ,δ)＝ω oμγ (j 1 ,j 2 ,j 3 ,δ)＝ω oαμ (j 1 ,j 2 ,j 3 δ) ω, and j 3 ＝12-j 2 More recently, formula (32) is as follows:
namely, the quality omega of six groups of ternary double coupling color mixing combinations on each gray level surface is obtained by updating oεα (j 1 ,j 2 ,δ),ω oβε (j 1 ,j 2 ,δ),ω oθβ (j 1 ,j 2 ,δ),ω oγθ (j 1 ,j 2 ,δ),ω oμγ (j 1 ,j 2 ,δ),ω oαμ (j 1 ,j 2 ,δ)。
The above formula is determined by the parameters delta and j related to gray value and chroma 1 A hue-related parameter j 2 The change of the coupling can further regulate and control the change of the hue, the gray level and the chroma of the polyester.
When δ is constant, j 1 When 1, by j 2 Respectively regulating and controlling color mixture samples: omega oεα (j 1 ,j 2 Delta) realizing the color C α And color C ε Change in hue between, ω oβε (j 1 ,j 2 Delta) realization of the color C ε And color C β Change in hue between, ω oθβ (j 1 ,j 2 Delta) realization of the color C β And color C θ Change in hue between, ω oγθ (j 1 ,j 2 Delta) realization of the color C θ And color C γ Change in hue between, ω oμγ (j 1 ,j 2 Delta) realization of the color C γ And color C μ Change in hue between, ω oαμ (j 1 ,j 2 Delta) realization of the color C μ And color C α Change in hue in between.
When δ is constant, j 2 When 1, by j 1 The color mixture sample is respectively regulated and controlled by the change of (1): omega oεα (j 1 ,j 2 Delta) realization of the color C α With color C 0 Chroma variation between, omega oβε (j 1 ,j 2 Delta) realization of the color C ε And color C 0 The chroma change in between; omega oθβ (j 1 ,j 2 Delta) realization of the color C β With color C o Change in chroma between, omega oγθ (j 1 ,j 2 Delta) realization of the color C θ And color C 0 Change in chroma between, omega oμγ (j 1 ,j 2 Delta) realization of the color C γ And color C 0 Chroma variation between, omega oαμ (j 1 ,j 2 Delta) realization of the color C μ And color C o The chroma change in between.
When delta is 1-17, omega oεα (j 1 ,j 2 ,δ),ω oβε (j 1 ,j 2 ,δ),ω oθβ (j 1 ,j 2 ,δ),ω oγθ (j 1 ,j 2 ,δ),ω oμγ (j 1 ,j 2 ,δ),ω oαμ (j 1 ,j 2 δ) the variation in gray scale is achieved as a whole; then proceed to step D3.
When j is 1 ,j 2 1,2,3, …,10, 11; when δ is 1,2, …,17, the mixture is ω oεα (j 1 ,j 2 ,j 3 ,δ)、ω oβε (j 1 ,j 2 ,j 3 ,δ)、ω oθβ (j 1 ,j 2 ,j 3 ,δ)、ω oγθ (j 1 ,j 2 ,j 3 ,δ)、ω oμγ (j 1 ,j 2 ,j 3 ,δ)、ω oαμ (j 1 ,j 2 ,j 3 Delta) to control the hue of the mixed color sample of the seven-primary-color polyester between 0 and 360 degrees, the chroma between 0 and 1 and the gray between 2 and 98.
From the above analysis, it can be seen that the value at ω is oεα (j 1 ,j 2 ,δ),ω oβε (j 1 ,j 2 ,δ),ω oθβ (j 1 ,j 2 ,δ),ω oγθ (j 1 ,j 2 ,δ),ω oμγ (j 1 ,j 2 ,δ),ω oαμ (j 1 ,j 2 Delta) of the six color matching submodels, delta is the variable, j, that regulates the gray level 1 Is a variable j for controlling chroma 2 Is a variable for regulating hue.
In the gridding mixed three-dimensional color cube, 17 groups of seven-base color polyester are configured based on 17 equal-height gray planes, the color cube comprises 17 x 660 ═ 11220 grid points, and the weight of the seven-base color polyester dye at each grid point can be obtained by calculation according to the concentration and the mixing ratio of the seven-base color polyester dye on each gray plane.
Step D3. according to formula (34), obtainingObtaining the mass mixing ratio of the seven-primary-color polyester in each ternary double-coupling mixed color combination on each gray level gray surface
As follows.
For omega oεα (j 1 ,j 2 ,δ)：
For omega oβε (j 1 ,j 2 ,δ)：
For omega oθβ (j 1 ,j 2 ,δ)：
For omega oγθ (j 1 ,j 2 ,δ)：
For omega oμγ (j 1 ,j 2 ,δ)：
For omega oαμ (j 1 ,j 2 ,δ)：
Then proceed to step D4.
Step D4. combines the color values C of the six primary color polyester on each gray scale gray plane according to equations (35) - (40) 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 ) Obtaining the color value C (j) of the seven-primary-color polyester on each gray scale gray plane 1 ,j 2 ,δ)＝[C r (j 1 ,j 2 ,δ) C g (j 1 ,j 2 ,δ) C b (j 1 ,j 2 ,δ)] T This is represented by the following equation (42), and then the process proceeds to step D5.
Step D5. combines the seven primary color polyesters ω on the gray scale gray plane according to equations (35) - (40) α 、ω ε 、ω β 、ω θ 、ω γ 、ω μ 、ω o Mass mixing ratio of
Then the dye counterweight omega of seven-primary-color ternary dual-coupling seven-primary-color polyester is obtained o (j 1 ,j 2 ,δ),ω α (j 1 ,j 2 ,δ),ω ε (j 1 ,j 2 ,δ),ω β (j 1 ,j 2 ,δ),ω θ (j 1 ,j 2 ,δ),ω γ (j 1 ,j 2 ,δ),ω μ (j 1 ,j 2 And delta) is as follows for formula (43).
The ternary double-coupling color matching mode based on seven-primary-color polyester on the serialized gray level can change the mixing proportion of an alpha, beta, gamma, epsilon, theta and mu color polyester system by changing grid point coordinates, and can regulate and control the change of hue, lightness and chroma of colors in 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-mentioned control means belongs to local color gamut control, and cannot control hue, lightness and chroma changes of colors in a full color gamut range. In order to regulate and control color change in a full color gamut range and realize digital and accurate regulation and control of hue, lightness and chroma, a gridding color mixing model of the full color gamut needs to be constructed.
And E, forming a full-hue gridding color mixing model through six sets of ternary double coupling color mixing combinations on each gray level surface, constructing a full-color gamut color stereo of three-dimensional gridding color mixing composed of 119 grid points of 17 sets of seven-primary-color polyester on the basis of serialized equal-height gray levels of gray level increasing gradient division, associating the gray level values on each equal-height gray level surface in the full-color gamut color stereo with the concentration and the color value of the seven-primary-color polyester dye on the corresponding equal-height gray level surface, further obtaining the coordinates, the color values, the mixing ratio of the seven-primary-color polyester and the dye balance weight of grid points in the full-color gamut gridding color stereo, and then entering the step F.
In practical applications, the step E includes the following steps E1 to E6.
Step E1, combining six ternary double-coupling color mixing rectangular gridding models formed on the gray surface based on seven-primary-color polyester, realizing splicing of the same lines between the models in a mode that one of the grids is reserved at the head and the tail of the same line between the models, and using j as a reference 1 Representing the lines of the spliced model, zeta representing the columns of the spliced model, combining the lines into a full-hue gridding color mixing model, and passing through j 1 And zeta change, regulate and control all changes of hue and chroma on the gray level, then enter step E2; ζ 1,2, … …, 60. As shown in fig. 4, the full-hue gridding color mixture model has 660 grid points in total. The hue of the polyester of all grid points on each adjustable gray level surface is changed within the range of 0-360 degrees, and the chroma is changed within the range of 0-1.
Step E2, forming a panchromatic phase gridding color mixing model formed by 17 gray surfaces according toCombining according to the size sequence of the delta value to form a full-color domain gridding color solid, correlating the gray value on each equal-height gray surface with the concentration of the seven-primary-color polyester dye and the color value of the polyester on the corresponding equal-height gray surface, and passing through j 1 Zeta and delta, and the change of the hue, chroma and gray scale of the seven-primary-color polyester is regulated and controlled in a full color domain range, and then the step E3 is carried out.
The serialized gray surfaces are combined into a full-gamut gridding color mixing model, namely a full-gamut gridding color solid, as shown in fig. 5. In color space, seven primary color polyester omega can be regulated and controlled by changing grid point coordinates oεα (j 1 ,j 2 ,δ)、ω oβε (j 1 ,j 2 ,δ)、ω oθβ (j 1 ,j 2 ,δ)、ω oγθ (j 1 ,j 2 ,δ)、ω oμγ (j 1 ,j 2 ,δ)、ω oαμ (j 1 ,j 2 Delta), and uniformly regulating and controlling the color phase of the polyester color of the grid points to change within the range of 0-360 degrees, the chroma to change within the range of 0-1 and the gray level to change within the range of 2-98 within the range of a full color domain.
Step E3. gridding the color volume based on the gamut for j corresponding to different grid points 1 The zeta and delta values form the grid point coordinates P (j) 1 ζ, δ), the grid point coordinate matrix composed of all the grid points in the full-color-domain gridded color volume is as shown in equation (44), and then the process proceeds to step E4.
Step E4. is based on j corresponding to different grid points in the three-dimensional color volume 1 Zeta value and delta value, calculating the mixing ratio of the seven-primary-color polyester corresponding to each grid point by the formulas (35) to (40)
The following;
the mixing ratio matrix of the panchromatic stereoscopic grid points:
then proceed to step E5.
Step E5. is based on the mixing ratio of the seven primary color polyester corresponding to the grid points
The color matrix of the panchromatic stereoscopic grid points is then:
then proceed to step E6.
Step E6. based on the seven primary color polyester omega on the gray scale gray plane α 、ω ε 、ω β 、ω θ 、ω γ 、ω μ 、ω o Mass mixing ratio of
Then the dye counterweight omega of seven-primary-color ternary dual-coupling seven-primary-color polyester is obtained o (j 1 ,j 2 ,δ),ω α (j 1 ,j 2 ,δ),ω ε (j 1 ,j 2 ,δ),ω β (j 1 ,j 2 ,δ),ω θ (j 1 ,j 2 ,δ),ω γ (j 1 ,j 2 ,δ),ω μ (j 1 ,j 2 δ) is as follows for formula (55):
then the weighted matrix of the panchromatic gamut color stereoscopic grid points:
dividing a full-color gamut polar angle of the color solid by 360 degrees into 30 equal divisions, dividing a polar radius into 10 equal divisions, and dividing 17 equal divisions from a light gray plane, a reference gray plane and a dark gray plane, thereby obtaining 660 × 17 — 11220 grid points, using three-dimensional polar coordinate values on each grid point: polar angle, polar radius, hue, chroma and gray value corresponding to height represent color value of the grid point, mixing ratio of seven-primary-color polyester and dye balance weight.
In a seven-primary-color mixing system, taking gray polyester as a reference, taking a gray surface with a gray value equal to 50 as a reference gray surface, taking a gray surface with a gray value equal to 2 as a light gray surface, and taking a gray surface with a gray value equal to 98 as a deep gray surface; planning 17 gray planes by taking the gray level 6 as an increasing gradient and a decreasing gradient;
selecting a change range of gray polyester dye concentration according to the planned gray value range of 17 gray surfaces, sampling and testing a pre-test of color values of the gray polyester dye through gradient change of the gray polyester dye concentration, and acquiring a functional relation between the gray polyester dye concentration and the gray value or a functional relation between the gray polyester dye concentration and the dye concentration by adopting a curve fitting method; according to the function formula obtained by fitting, 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.
Specific dye concentrations (total 119 kinds) of the seven-primary-color polyester on the gray surfaces with the same height can be obtained based on the dye concentrations of the gray polyesters on the 17 gray surfaces and the ratio of the dye concentrations of the seven-primary-color polyester in gray balance;
and sampling according to the specific dye concentration of the seven-primary-color polyester on each equal-height gray level surface to obtain a seven-primary-color polyester sample on each equal-height gray level surface, and obtaining the color value of the seven-primary-color polyester on each equal-height gray level surface through a light splitting color measuring instrument.
Based on a planned gray scale and a seven-primary-color gridding mixing mode planned on each equal-height gray scale, a full-color gamut color stereo including 660 × 17-11220 grid points can be constructed, the color value, the concentration value and the seven-primary-color polyester mixing ratio of each grid point, parameters such as three-dimensional polar coordinates (the hue represents the polar angle, the chroma represents the radius and the gray scale represents the height) of each grid point and the like are used for expressing the color gamut stereo in a full-color gamut range, and the color hue regulation between 0 and 360 degrees, the chroma regulation between 0 and 1 and the gray scale regulation between 2 and 98 are realized for the seven-primary-color polyester mixing.
Through the operation, a panchromatic domain gridding mixed three-dimensional color solid is constructed, and the characteristics of the color solid are as follows: the polar angle of the color solid is used for representing hue, the polar radius is used for representing chroma, the gray scale is highly represented, and the color gamut range of the full color gamut solid is as follows: hue is 0-360 degrees, chroma is 0-1, and gray scale is 2-98.
And F, twisting the full-color-domain gridding color solid into a concentric circle mode according to the lines on each gray surface to construct a cylindrical full-color-domain gridding color solid, and constructing an equal-height gray surface visualization chromatogram, an equal-radius chroma surface visualization chromatogram and an equal-angle hue surface visualization chromatogram of the full-color-domain gridding color solid according to the three-dimensional polar coordinates of the grid points.
In practical applications, the step F includes the following steps F1 to F4.
Step f1, constructing a cylindrical full-color-gamut gridding color solid based on the full-color-gamut gridding color solid constructed by the seven-primary-color ternary dual-coupling color mixing in such a way that the lines on the gray surface are twisted into concentric circles, as shown in fig. 6, the coordinates P (j) of the grid points in the cylindrical full-color-gamut gridding color solid 1 ζ, δ) into three-dimensional polar coordinates P (j) 1 ,ζ,δ)＝[θ(j 1 ,ζ,δ)ρ(j 1 ,ζ,δ)z(j 1 ,ζ,δ)]Polar angle θ (j) 1 ζ, δ), polar radius ρ (j) 1 ζ, δ) and height z (j) 1 ζ, δ) is obtained by the formula (57), and then proceeds to step F2.
The grid point coordinates may be expressed as:
P(j 1 ,ζ,δ)＝[θ(j 1 ,ζ,δ) ρ(j 1 ,ζ,δ) z(j 1 ,ζ,δ)]＝[(ζ-1)×60°/10 (11-j 1 )/10 δ] (58)
according to the constructed cylindrical full-color-gamut gridding color solid, the visual color spectrum of the full-color-gamut color solid can be constructed from three dimensions of an equal-height gray level surface, an equal-angle color phase surface and an equal-radius chroma surface.
In cylindrical gridded color solid, the height coordinate z (j) 1 ζ, δ) equal grid points are called equal height gray scale surfaces, and color stereo can be realized according to different height coordinatesAnd is divided into 17 equal-height gray planes. On each equal height gray scale surface, 10 equally dividing along the radius direction and 60 equally dividing along the circumference direction, and 660 grid points are included in total.
Step F2. is based on the height coordinate z (j) 1 Zeta, delta) equal grid points to construct an equal height gray level visualization chromatogram; wherein, the grid point quality matrix [ T (j) of the equal height gray level surface 1 ,ζ,δ)]Comprises the following steps:
according to the quality matrix [ T (j) 1 ,ζ,δ)]Obtaining a corresponding mixing ratio matrix
Comprises the following steps:
according to the mixing ratio matrix
Obtaining the corresponding chromatography matrix [ C (j) ] 1 ,ζ,δ)]Comprises the following steps:
then proceed to step F3.
In cylindrical full-gamut gridded color volume, polar radius coordinates ρ (j) 1 ζ, δ) change direction is a change in color when color is mixed with gray, i.e., a change in color chroma. The polar radius coordinate ρ (j) 1 Surfaces formed by grid points with equal zeta, delta) values are called equal radius chroma surfaces, and can be based on different polar radius coordinates rho (j) 1 ζ, δ) values divide a cylindrical full-gamut gridded color volume into 11 equal-radius chroma surfaces. On each equal radius chroma surface, 16 equal divisions are made along the height directionThe circumferential direction is divided into 60 equal parts, and the total number of the grid points is 1020.
Step F3. is based on the polar radius coordinate ρ (j) 1 Zeta, delta) equal grid points to construct a visual chromatogram of the equal radius chroma surface; wherein, the grid point quality matrix [ T (j) of the constant radius chroma surface 1 ,ζ,δ)]Comprises the following steps:
according to the quality matrix [ T (j) 1 ,ζ,δ)]I.e. to obtain a mixing ratio matrix
Comprises the following steps:
according to the mixing ratio matrix
Determining a chromatography matrix [ C (j) 1 ,ζ,δ)]Comprises the following steps:
then proceed to step F4.
In cylindrical full gamut gridded color stereo, polar angular coordinate θ (j) 1 ζ, δ) change direction is a change in color when a plurality of colors are mixed, that is, a change in color hue. The polar angle coordinate theta (j) 1 ζ, δ) values of the same grid point are called equal angle color phase planes, and the plane can be formed by different polar angle coordinates θ (j) 1 ζ, δ) values divide the color volume into 60 equiangular color facies. Each equiangular color phase plane is equally divided into 16 parts in the height direction and 10 parts in the radius direction, and 187 grid points are included in total.
Step F4. is based on the polar angular coordinate θ (j) 1 Zeta, delta) phaseConstructing an equiangular color phase surface visualization chromatogram by using equiangular color phase surfaces formed by the grid points; wherein, the grid point quality matrix [ T (j) of the equal angle color phase surface 1 ,ζ,δ)]Comprises the following steps:
according to the quality matrix [ T (j) 1 ,ζ,δ)]I.e. to obtain a mixing ratio matrix
Comprises the following steps:
according to the mixing ratio matrix
Determining a chromatography matrix [ C (j) 1 ,ζ,δ)]Comprises the following steps:
the method for three-dimensional gridding, mixing and three-dimensional color stereo and full-color-domain color matching of seven-primary-color polyester based on gradient gray scale value construction is applied to the practice, in the first embodiment, the preparation and the color spectrum construction of seven-primary-color polyester on a medium gray scale surface are carried out, and six primary-color dyes alpha, epsilon, beta, theta, gamma and mu with 60-degree color phase angle difference are preferably selected according to the weight p of the dyes α ,p ε ,p β ,p θ ,p γ ,p μ And polyester (masterbatch) concentration
Respectively preparing omega with the weight of 50g α ,ω ε ,ω β ,ω θ ,ω γ ,ω μ The six polyester (mother particle) systems are mixed according to a specific mixing ratio to obtain the gray polyester (mother particle) omega o And ω is o ＝(ω α +ω β +ω γ )/3,ω o ＝(ω ε +ω θ +ω μ ) And 3, constructing omega based on six primary color dyes α 、ω β 、ω γ 、ω ε 、ω θ 、ω μ 、ω o Seven-base-color polyester (master batch) color matching system.
When the seven-primary-color polyester is prepared, 7 polyester (master batch) injectors are arranged for the seven-primary-color polyester (master batch) on each gray surface in the color stereo, and 7 × 17-119 injectors are required to be arranged for the whole color stereo. Corresponding to the 17 × 660 ═ 11220 grid points of the color solid, the corresponding polyester (master batch) can be blended by controlling the flow rate ratio of the 119 syringes. For a multi-channel screw blending extruder, 11220 grid points of polyester (master batch) weights need to be given, and the dye weights of each grid point can be calculated according to the mixing ratio of seven-primary-color polyester on each gray surface.
The dye concentrations and color values for the seven primary color polyester on the known mid-gray plane are shown in table 5, where the color measurements were made under D65, 10 ° viewing angle conditions.
TABLE 5
According to Table 5, a seven-primary color polyester color value matrix on the middle gray level surface can be obtained
The following were used:
the seven-primary-color polyester mixing ratio of all grid points on each gray surface can be obtained by calculating formulas (45) to (51) according to the seven-primary-color polyester (master batch) mixing ratio of each grid point of the full-color-domain mixing model
The results are shown in Table 6.
TABLE 6
ζ is 1,2,., 60, the ternary colors corresponding to ternary coupling blending in different ζ value intervals are different, and the ternary color is A, B, C, so that the primary colors corresponding to the ternary colors in different ζ value intervals are as 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 seven-primary-color polyester dye on the gray surface where the grid points are positioned and the mixing ratio of seven-primary-color polyester (master batch) corresponding to the grid points
The blending of the seven-primary-color polyester (master batch) at the grid point can be carried out.
The polyester (master batch) weights of all the grid points in the color solid can be obtained from the mixing ratio of the seven-primary-color polyester at all the grid points in the full-color-domain gridded color solid by the following formula, and the results are shown in table 8.
TABLE 8
Knowing the seven-primary-color polyester color value on the middle gray level surface and the seven-primary-color polyester mixing ratio corresponding to the grid point, the color value of each mixed subsample on the middle gray level surface can be obtained through the following formula, and a middle gray level surface chromatogram is constructed, and the result is shown in table 9.
TABLE 9
Example two-knowing the sample colour values the polyester (masterbatch) blend ratios were obtained.
1. Constructing a full-color gamut color stereo based on seven-primary-color polyester, and grid point color values thereof
j 1 ＝1,2,3,…,10,11；ζ＝1,2,……,60；δ＝1,2,…,17
2. Grid point coordinates of full color gamut color stereo
P(j 1 ,ζ,δ)＝[θ(j 1 ,ζ,δ) ρ(j 1 ,ζ,δ) z(j 1 ,ζ,δ)]＝[(ζ-1)×60°/10 (11-j 1 )/10 δ] (71)
j 1 ＝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 stereo
4. Determining the position of the point in the color volume based on the known color values C (H, S, D)
The color values of all grid points (RGB system) in the color volume, C (j), are determined according to equation (53) 1 ,ζ,δ)＝[C r (j 1 ,ζ,δ) C g (j 1 ,ζ,δ) C b (j 1 ,ζ,δ)] T Converting it into HSL color value of C HSL (j 1 ,ζ,δ)＝[H(j 1 ,ζ,δ) S(j 1 ,ζ,δ) D(j 1 ,ζ,δ)] T . Searching in the color space according to the data search formula (73), and acquiring reference points which can mark the positions of the known color points C (H, S, D)
The coordinates of the grid points are respectively
ζ * ,δ * 。
The reference points for calibrating the positions of C (H, S, D) in the color solid are obtained based on formula (61)
This yields that there are 8 grid point color values around the C (H, S, D) points:
(1) to investigate C points (H, S, D) with C, respectively 1 ,C 2 ,C 3 ,C 4 ,C 5 ,C 6 ,C 7 ,C 8 The relative position relation of the hues between the points is as follows:
when eta 1 Less than or equal to 0.5, taking
When eta 1 More than 0.5, taking
(2) To investigate C points (H, S, D) with C, respectively 1 ,C 2 ,C 3 ,C 4 ,C 5 ,C 6 ,C 7 ,C 8 And (3) setting the relative position relationship of the chroma between the points as follows:
when eta 2 Less than or equal to 0.5, taking
When eta 2 More than 0.5, taking
(3) To investigate C points (H, S, D) with C, respectively 1 ,C 2 ,C 3 ,C 4 ,C 5 ,C 6 ,C 7 ,C 8 The relative position relation of the gray levels among the points is set as follows:
when eta 3 Less than or equal to 0.5, taking
When eta 3 More than 0.5, taking
The results of table 10 are taken into formulas (45) to (51) to determine the mixing ratio of the corresponding seven-primary-color polyester (base particles).
Example three-preparation of a medium-gray-scale seven-primary-color polyester (master batch) system with same radius, chroma and different angles, as shown in fig. 7, selecting a series of colors with the same radius, chroma and different angles on a medium-gray-scale surface, and preparing seven-primary-color polyester (master batch) with the same radius, chroma and different angles, when ζ is 1,2, 10, and the mixing sequence of the three primary colors is α -e-o; when ζ is 11,12, 20, the ternary color mixing sequence is epsilon-beta-o; when ζ is 21,22, 30, the ternary color mixing sequence is β - θ -o; when ζ is 31,32,.., 40, the ternary color mixing sequence is θ - γ -o; when ζ is 41,42,.., 50, the ternary color mixing sequence is γ - μ -o; when ζ is 51,52, the ternary color mixing sequence is μ - α -o. The mixing ratio of the mixed-color blend and the polyester (master batch) weight are shown in Table 11.
TABLE 11
Example four-preparation of seven-primary color polyester (master batch) system with equal angle hue and different radius chroma on medium gray scale, as shown in fig. 8, selecting serial colors with equal angle hue and different radius chroma on medium gray scale, and preparing seven-primary color polyester (master batch) system with equal angle hue and different radius chroma, when ζ is 15, the three-primary color mixing sequence is ∈ - β -o; when zeta is 35, the three-element color mixing sequence is theta-gamma-o; when ζ is 52, the ternary color mixing order is μ - α -o. The blend ratio and polyester (masterbatch) weight of the blended color sub-samples are shown in Table 12.
TABLE 12
Practice ofEXAMPLE V preparation of equal radius chroma face seven base color polyester (Master batch) System, with j 1 For example, 7, a seven-base color polyester (master batch) system with equal radius chroma is prepared. Fig. 9 shows the mesh model of the isochromatic surface, in which the blending ratio of the blend sub-samples is shown in table 13, the color value is shown in table 14, and the polyester (master batch) weight is shown in table 15.
Watch 13
TABLE 14
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Sixth embodiment-preparation of seven-primary-color polyester (master batch) system with same-height gray scale and different-angle hue on the equal-radius chroma surface, as shown in table 16, selecting a series of colors with same-height gray scale and different-angle hue on the equal-radius chroma surface, and preparing seven-primary-color polyester (master batch) system with same-height gray scale and different-angle hue, wherein a mixing ratio of a mixed-color subsample and a polyester (master batch) counterweight are as shown in table 17; when ζ is 1,2, 10, the ternary color mixing sequence is α -epsilon-o; when ζ is 11,12, 20, the ternary color mixing sequence is epsilon-beta-o; when ζ is 21,22, 30, the ternary color mixing sequence is β - θ -o; when ζ is 31,32,.., 40, the ternary color mixing sequence is θ - γ -o; when ζ is 41,42,.., 50, the ternary color mixing sequence is γ - μ -o; when ζ is 51,52,.., 60, the ternary color mixing sequence is μ - α -o.
TABLE 16
TABLE 17
Example seven-preparation of seven-primary color polyester (master batch) systems with same angle hue and different height grays on a chroma surface with equal radius, as shown in table 18, selecting a series of colors with the same angle hue and different height grays on the chroma surface, and preparing the seven-primary color polyester (master batch) systems with the same angle hue and different height grays, when ζ is 3,6,9, and the three-primary color mixing sequence is α -e-o; the mixing ratio of the mixed-color blend and the polyester (master batch) weight are shown in Table 19.
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Example eight-preparation of equiangular hue surface seven-primary color polyester (mother particle) system, using ζ -9 (hue angle 54 °), preparation of equiangular hue surface seven-primary color polyester (mother particle) system was performed. Table 20 shows an iso-hue surface mesh model, in which the mixing ratio of the blend sub samples is shown in table 21, the color value is shown in table 22, and the polyester (base particle) weight is shown in table 23.
TABLE 21
TABLE 22
TABLE 23
Example nine-preparation of a same-height gray scale and different-radius chroma seven-base color polyester (master batch) system on an equal-angle hue plane, as shown in table 24, selecting a series of colors with the same height gray scale and different-radius chroma on the equal-angle hue plane, and performing preparation of the same-height gray scale and different-radius chroma seven-base color polyester (master batch) system, where ζ is 9 and a three-color mixing sequence is α -e-o; the mixing ratio of the mixed-color blend and the polyester (master batch) weight are shown in Table 25.
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TABLE 25
Example ten-preparation of a same-radius chroma and different-height gray-scale seven-primary-color polyester (master batch) system on an equiangular hue surface, as shown in table 26, selecting a series of colors with the same radius chroma and different-height gray-scales on the equiangular hue surface, and performing preparation of the same-radius chroma and different-height gray-scale seven-primary-color polyester (master batch) system, wherein when ζ is 9, the three-primary-color mixing sequence is α -e-o; the mixing ratio and the polyester (mother particle) weight of the mixed-color blend are shown in table 27.
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Watch 27
The technical scheme is designed into a seven-primary-color polyester three-dimensional gridding blending three-dimensional color stereo and full-color-domain color matching method based on gradient gray scale values, and firstly, a seven-primary-color polyester two-dimensional gridding blending system is constructed based on six-primary-color gray scale balance; secondly, constructing a three-dimensional gridding color-mixing full-gamut color stereo which is formed by 119 grid points of 17 groups of seven-base-color polyester in total on the basis of serialized equal-height gray surfaces of gray value incremental gradient division, and associating the gray value on each equal-height gray surface in the color stereo with the concentration and the color value of the seven-base-color polyester dye on the corresponding equal-height gray surface to construct the full-gamut color stereo which can regulate and control the gray level, the hue and the chroma of the seven-base-color polyester in the full-gamut range; then constructing visual chromatograms of 17 equal-height gray surfaces, 60 equal-angle hue surfaces and 10 equal-radius chroma surfaces based on 119 grid points of the full-color gamut color stereo; finally, a method for obtaining the seven-primary-color polyester proportion, the dye concentration and the dye counterweight based on the color value of the polyester sample is provided; the whole design method can provide big data for color prediction and color innovation design of polyester color matching, and 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 gist of the present invention.
Claims (10)
1. The seven-base-color polyester three-dimensional gridding, blending and three-dimensional color stereo and full-color-domain color matching method constructed based on the gradient gray value is characterized by comprising the following steps:
step A, selecting dyes alpha, epsilon, beta, theta, gamma and mu with hue angle difference of 60 degrees to respectively prepare six primary color colored polyester omega with omega quality α 、ω ε 、ω β 、ω θ 、ω γ 、ω μ Adjusting the dye concentration to mix the six primary color polyester equally to obtain the RGB color value (128,128,128) and the gray value D o (9) Colorless gray polyester omega 50 mass omega o Forming seven-primary-color polyester containing six-primary-color colored polyester and achromatic gray polyester, obtaining the dye concentration, the color value and the dye balance weight of the six-primary-color colored polyester reaching the gray balance, and entering the step B;
step B, taking seven-primary-color polyester as a base to perform D o (9) Constructing a gridding mixing mode of seven-primary-color polyester on a 50-primary-color gray level surface, and forming six groups of ternary double-coupling color mixing combinations on the gray level surface by combining adjacent two-primary-color polyester and achromatic gray polyester corresponding to two color dyes with the hue angle difference of 60 degrees in the seven-primary-color polyester based on a preset reference discrete number corresponding to the polyester quality, namely forming the seven-primary-color ternary double-coupling color mixing combinations on the gray level surfaceA recoupling color mixing mode is adopted, a two-dimensional gridding mixing system of the seven-primary-color polyester is constructed, the mixing ratio, the color value, the dye concentration and the dye balance weight of the seven-primary-color polyester on the gray surface are obtained, and then the step C is carried out;
and C, dividing 17 gray levels at equal intervals from light to dark based on gray polyester gray values to obtain gray values corresponding to the 17 gray levels respectively, and obtaining 17 gray levels corresponding to the gray polyester dye concentration lambda from low concentration to high concentration through a preset test o (delta) and color value C thereof o (delta) correlating the gray value on each equal-height gray level surface 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 based on data fitting, and further obtaining the concentration lambda of the six-primary-color polyester dye corresponding to 17 gray levels respectively α (δ)、λ ε (δ)、λ β (δ)、λ θ (δ)、λ γ (δ)、λ μ (delta) and color values C thereof α (δ)、C ε (δ)、C β (δ)、C θ (δ)、C γ (δ)、C μ (δ) then proceed to step D; δ represents a gray level;
d, constructing 17 gray planes by combining a seven-primary-color ternary dual coupling color mixing mode based on the dye concentration and the color value of the seven-primary-color polyester respectively corresponding to the 17 gray levels, further obtaining the mixing ratio, the color value and the dye balance weight of the seven-primary-color polyester on the 17 gray planes, and then entering the step E;
e, forming a full-hue gridding color mixing model through six sets of ternary double coupling color mixing combinations on each gray level surface, constructing a full-color gamut color stereo of three-dimensional gridding color mixing composed of 119 grid points of 17 sets of seven-primary-color polyesters on the basis of serialized equal-height gray levels of gray level incremental gradient division, associating the gray level values on each equal-height gray level surface in the full-color gamut color stereo with the concentration and the color value of the seven-primary-color polyester dye on the corresponding equal-height gray level surface, further obtaining the coordinates, the color values, the mixing ratio of the seven-primary-color polyesters and the dye balance weight of grid points in the full-color gamut gridding color stereo, and then entering the step F;
and F, twisting the full-color-domain gridding color solid into a concentric circle mode according to the lines on each gray surface to construct a cylindrical full-color-domain gridding color solid, and constructing an equal-height gray surface visualization chromatogram, an equal-radius chroma surface visualization chromatogram and an equal-angle hue surface visualization chromatogram of the full-color-domain gridding color solid according to the three-dimensional polar coordinates of the grid points.
2. The seven-base-color polyester three-dimensional gridding, mixing and three-dimensional color stereo and full-color-domain color matching method based on gradient gray scale values as claimed in claim 1, wherein: in the step A, based on six primary color colored polyester omega α 、ω ε 、ω β 、ω θ 、ω γ 、ω μ The following three ways are adopted:
adjusting the dye concentration to mix six primary color polyesters in equal amount to obtain an RGB color value (128,128,128) and a gray value D o (9) 50 mass omega grey polyester omega o 。
3. The seven-base-color polyester three-dimensional gridding, mixing and three-dimensional color stereo and full-color-domain color matching method based on gradient gray scale values as claimed in claim 1, wherein: the step B comprises the following steps B1 to B5;
b1, forming six sets of ternary double-coupling color mixing combinations on the gray plane by combining primary color polyester corresponding to two dyes with the hue angle difference of 60 degrees in the seven-primary-color polyester and gray polyester based on the seven-primary-color polyester on the basis of a preset reference discrete number corresponding to the polyester quality, wherein the quality omega of the six sets of ternary double-coupling color mixing combinations on the gray plane is omega oεα (j 1 ,j 2 ,j 3 )、ω oβε (j 1 ,j 2 ,j 3 )、ω oθβ (j 1 ,j 2 ,j 3 )、ω oγθ (j 1 ,j 2 ,j 3 )、ω oμγ (j 1 ,j 2 ,j 3 )、ω oαμ (j 1 ,j 2 ,j 3 ) The following were used:
wherein: j is a function of 1 ,j 2 ,j 3 ＝1,2,3,…,10,11，ω α Denotes the mass of the dye alpha corresponding to the primary color polyester with mass omega, omega β Denotes the mass of the dye beta corresponding to the primary-color polyester having mass omega, omega γ Denotes the mass of the primary polyester corresponding to the mass omega of the dye gamma, omega ε Denotes the mass of the dye ε corresponding to a primary color polyester of mass ω, ω θ Denotes the mass of the dye θ corresponding to the primary-color polyester having mass ω, ω μ Denotes the mass of the dye μ corresponding to the primary-color polyester having a mass ω o Representing the mass of the grey polyester of mass omega, and then to step B2;
step B2. according to omega α ＝ω β ＝ω γ ＝ω ε ＝ω θ ＝ω μ ＝ω o ω, and
ω oεα (j 1 ,j 2 ,j 3 )＝ω oβε (j 1 ,j 2 ,j 3 )＝ω oθβ (j 1 ,j 2 ,j 3 )＝ω oγθ (j 1 ,j 2 ,j 3 )＝ω oμγ (j 1 ,j 2 ,j 3 )＝ω oαμ (j 1 ,j 2 ,j 3 ) With double coupled color mixing definition, equation (3) is obtained as follows:
j 3 ＝12-j 2 (3)
and bringing formula (3) into formula (2) to obtain formula (4) as follows, and then proceeding to step B3;
the above formula reflects the polyester from seven primary colorsSelecting a mode of double coupling color mixing between adjacent primary color polyester corresponding to two color dyes with 60-degree hue angle difference and 1 achromatic gray polyester, and performing double coupling color mixing by using a parameter j related to chroma 1 A hue-related parameter j 2 The change of the coupling can further regulate and control the change of the hue and chroma of the polyester;
when j is 1 When 1, by j 2 The color mixture sample can be respectively regulated and controlled by the change of (2): omega oεα (j 1 ,j 2 ) To realize a color C α And color C ε Change in hue between, ω oβε (j 1 ,j 2 ) Realization of color C ε And color C β Change in hue between, ω oθβ (j 1 ,j 2 ) Realization of color C β And color C θ Change in hue between, ω oγθ (j 1 ,j 2 ) Realization of color C θ And color C γ Change in hue between, ω oμγ (j 1 ,j 2 ) Realization of color C γ And color C μ Change in hue between, ω oαμ (j 1 ,j 2 ) Realization of color C μ And color C α A change in hue therebetween;
when j is 2 When 1, by j 1 The color mixture sample can be respectively regulated and controlled by the change of (2): omega oεα (j 1 ,j 2 ) Realization of color C α And color C 0 Change in chroma between, omega oβε (j 1 ,j 2 ) Realization of color C ε And color C 0 The chroma change in between; omega oθβ (j 1 ,j 2 ) Realization of color C β And color C o Change in chroma between, omega oγθ (j 1 ,j 2 ) Realization of color C θ And color C 0 Change in chroma between, omega oμγ (j 1 ,j 2 ) Realization of color C γ And color C 0 Change in chroma between, omega oαμ (j 1 ,j 2 ) Realization of color C μ And color C o The chroma change in between;
when j is 1 ,j 2 When 1,2,3, …,10 and 11 are mixed, the mixture isω oεα (j 1 ,j 2 ),ω oβε (j 1 ,j 2 ),ω oθβ (j 1 ,j 2 ),ω oγθ (j 1 ,j 2 ),ω oμγ (j 1 ,j 2 ),ω oαμ (j 1 ,j 2 ) The change of hue and chroma is realized;
and B3, obtaining the seven-primary-color polyester omega in six groups of ternary double-coupling mixed-color combinations on the reference gray level according to the formula (4) α 、ω ε 、ω β 、ω θ 、ω γ 、ω μ 、ω o Mass mixing ratio of
The following were used:
for omega oεα (j 1 ,j 2 )：
For omega oβε (j 1 ,j 2 )：
For omega oθβ (j 1 ,j 2 )：
For omega oγθ (j 1 ,j 2 )：
For omega oμγ (j 1 ,j 2 )：
For omega oαμ (j 1 ,j 2 )：
Then step B4 is entered;
step B4. combines the seven primary colors polyester omega on the reference gray plane according to formulas (5) - (10) o 、ω α 、ω ε 、ω β 、ω θ 、ω γ 、ω μ Color value C of 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 ) Calculating the color value C (j) of the seven-primary-color polyester on the reference gray level 1 ,j 2 )＝[C r (j 1 ,j 2 ) C g (j 1 ,j 2 ) C b (j 1 ,j 2 )] T As in equation (12), then proceed to step B5;
step B5. combines the seven primary color polyester ω on the reference gray plane according to equations (5) - (10) α 、ω ε 、ω β 、ω θ 、ω γ 、ω μ 、ω o Mass mixing ratio of
Then obtaining the dye weight omega of the seven-primary-color polyester o (j 1 ,j 2 ),ω α (j 1 ,j 2 ),ω ε (j 1 ,j 2 ),ω β (j 1 ,j 2 ),ω θ (j 1 ,j 2 ),ω γ (j 1 ,j 2 ),ω μ (j 1 ,j 2 ) Formula (13) is as follows:
4. the seven-base-color polyester three-dimensional gridding, mixing and three-dimensional color stereo and full-color-domain color matching method based on gradient gray scale values as claimed in claim 1, wherein: the step C comprises the following steps C1 to C5;
c1, dividing 17 gray levels at equal intervals from light to dark based on gray polyester gray values, and dividing gray polyester gray values D on the 17 th gray level surface o (17) And the gray level D of the gray polyester on the 1 st gray level o (1) According to the following formula (14):
D o (δ)＝D o (1)+(δ-1)×(D o (17)-D o (1))/16 (14)
obtaining the gray value D corresponding to the gray polyester on each gray level gray surface o (δ), then proceed to step C2;
step C2. is based on six primary color dyes α, ε, β, θ, γ, μ, in dye weight p α ,p ε ,p β ,p θ ,p γ ,p μ And dye concentration of polyester
Six primary color polyesters omega with the mass omega respectively α ,ω ε ,ω β ,ω θ ,ω γ ,ω μ By blending
Configuration [ p ] α +p β +p γ ]/3, making the grey value of its mixture equal to the reference grey value D o (9) 50; by blending
Configuration [ p ] ε +p θ +p μ ]/3, making the grey value of its mixture equal to the reference grey value D o (9) 50; by formulating lambda α ,λ ε ,λ β ,λ θ ,λ γ ,λ μ Configuration [ p ] α +p ε +p β +p θ +p γ +p μ ](vi)/6, making the grey value of its mixture equal to the reference grey value; the gray polyester obtained based on six-primary-color polyester regulation is O, and the mass of the gray polyester is omega o Gray polyester dye concentration of lambda o ；
Setting: lambda [ alpha ] 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 And 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)
combining 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 as
Then based on the configured gray polyester dye concentrations, the dye concentrations for the six primary color polyester on the gray scale are obtained as follows:
the dye weights for the six primary color colored polyester on the gray scale, based on the configured gray polyester dye weights, are obtained as follows:
at the reference gray value D o (9) Acquiring the dye weight of the seven-primary-color polyester on the equal-height gray level of 50 on the basis of the dye weight of the gray polyester and the ratio of the six-primary-color polyester to the gray polyester dye weight; acquiring the dye concentration of the seven-primary-color polyester on the height gray level surface based on the dye concentration of the gray polyester and the ratio of the six-primary-color polyester to the gray polyester dye concentration; then proceed to step C3;
step C3. is to obtain the concentrations λ of the mixed dyes respectively corresponding to the gray polyester on each gray level gray surface based on the function relationship fitted between the gray polyester gray value and the dye concentration obtained in advance o (δ), then proceed to step C4; wherein λ is o (delta) represents the concentration of the mixed dye corresponding to the gray polyester on the delta gray scale gray level plane;
c4, according to the concentration lambda of the gray polyester dye on each gray level gray surface o (delta) obtaining dye concentrations lambda corresponding to the six primary color dyes alpha, epsilon, beta, theta, gamma and mu on each gray scale gray surface α (δ)、λ ε (δ)、λ β (δ)、λ θ (δ)、λ γ (δ)、λ μ (δ), then proceed to step C5;
step C5. is performed based on the dye concentration λ of the seven primary color polyester on each gray scale plane α (δ)、λ ε (δ)、λ β (δ)、λ θ (δ)、λ γ (δ)、λ μ (δ)、λ o (delta), obtaining color value C of seven primary colors polyester on each gray scale surface by proofing α (δ)、C ε (δ)、C β (δ)、C θ (δ)、C γ (δ)、C μ (δ)、C o (δ)。
5. The gradient gray value-based seven-base-color polyester three-dimensional gridding, mixing and three-dimensional color stereo and full-color-domain color matching method according to claim 3, which is characterized in that: in the step C3, if the gray-level polyester value is used as the independent variable x and the dye concentration is used as the dependent variable y, the function relationship of the fitting curve between the gray-level polyester value obtained in advance and the corresponding dye concentration is as follows:
y＝a(1-b x )
wherein, a is-0.00119, b is 1.07529;
if the dye concentration is taken as an independent variable x and the polyester gray value is taken as a dependent variable y, the functional relationship of the fitting curve between the polyester gray value obtained in advance and the corresponding dye concentration is as follows:
wherein, y 0 ＝97.47369,A 1 ＝-49.66897,t 1 ＝-0.38141,A 2 ＝-50.47966,t 2 ＝-0.00878。
6. The seven-base-color polyester three-dimensional gridding, mixing and three-dimensional color stereo and full-color-domain color matching method based on gradient gray scale values as claimed in claim 4, wherein: in the step C4, the grey polyester dye is arranged in the grey plane according to each grey scaleConcentration lambda o (delta) dye weight p o (δ) and a dye concentration of the six primary color polyester in each gray scale gray plane of λ α (δ),λ β (δ),λ γ (δ),λ ε (δ),λ θ (δ),λ μ (delta) the dye weight of the corresponding six-primary-color colored polyester is p α (δ),p ε (δ),p β (δ),p θ (δ),p γ (δ),p μ (δ) according to formulae (15) to (20), the following formulae (21), (22) are obtained;
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 dyes to the concentration of the gray polyester dye on each gray scale gray surface, the ratio is as shown in formula (23):
further based on the formula (19), the dye density value of the six primary color polyester on each gray scale surface is obtained
λ α (δ),λ β (δ),λ γ (δ),λ ε (δ),λ θ (δ),λ μ (δ) is as in formula (24):
namely obtaining the dye concentration lambda of the seven-primary-color polyester on each gray scale gray level surface α (δ),λ ε (δ),λ β (δ),λ θ (δ),λ γ (δ),λ μ (δ),λ o (δ) the dye concentration of the seven primary color polyester on each gray scale plane is recorded as
As in formula (25):
further, the dye concentration for obtaining 119 base color polyesters in total on all 17 gray scale gray planes can be recorded as λ Σ As shown in formula (26):
7. the seven-base-color polyester three-dimensional gridding, mixing and three-dimensional color stereo and full-color-domain color matching method based on gradient gray scale values as claimed in claim 1, wherein: in the step C5, the dye concentration lambda of the seven-primary-color polyester on each gray scale surface is determined α (δ)、λ ε (δ)、λ β (δ)、λ θ (δ)、λ γ (δ)、λ μ (δ)、λ o (delta) color value C of polyester of seven primary colors on each gray scale gray plane α (δ)、C ε (δ)、C β (δ)、C θ (δ)、C γ (δ)、C μ (δ)、C o (δ) then the color values of the seven primary color polyesters on each gray scale plane are recorded as
The following were used:
or:
the color value of 119 primary color polyesters in total on all 17 gray scale gray planes is recorded as C Σ The following were used:
or the color values of all seven-primary-color polyester on 17 equal-height gray planes in the three-dimensional full-color gamut color solid are as follows:
8. the seven-base-color polyester three-dimensional gridding, mixing and three-dimensional color stereo and full-color-domain color matching method based on gradient gray scale values as claimed in claim 1, wherein: the step D comprises steps D1 to D5;
step D1, forming seven primary color polyesters on each gray scale surface by using six primary color polyesters on each gray scale surface and gray polyesters, and forming six groups of ternary dual coupling color mixing combinations on each gray scale surface by using combinations of the primary color polyesters corresponding to two dyes with 60-degree hue angle difference in the seven primary color polyesters and the gray polyesters based on preset reference discrete numbers corresponding to the polyester quality, wherein the quality omega of each ternary dual coupling color mixing combination on each gray scale surface is omega oεα (j 1 ,j 2 ,j 3 ,δ),ω oβε (j 1 ,j 2 ,j 3 ,δ),ω oθβ (j 1 ,j 2 ,j 3 ,δ),ω oγθ (j 1 ,j 2 ,j 3 ,δ),ω oμγ (j 1 ,j 2 ,j 3 ,δ),ω oαμ (j 1 ,j 2 ,j 3 δ) is as follows:
wherein j is 1 ,j 2 ,j 3 ＝1,2,3,…,10,11,δ＝1,2,...,16,17，ω α (delta) represents the mass of the primary-color polyester having the mass omega at the delta gray scale level corresponding to the dye alpha, omega ε (delta) represents the mass of the primary-color polyester having a mass omega at a gray scale of delta corresponding to the dye epsilon, omega β (delta) represents the mass of the primary color polyester having a mass omega at the delta gray scale level corresponding to dye beta, omega θ (delta) represents the mass of the primary-color polyester having a mass omega at the delta-th gray scale for the dye theta, omega γ (delta) represents the mass of the primary-color polyester having the mass omega at the delta gray scale level corresponding to the dye gamma, omega μ (delta) represents the mass of the primary-color polyester having a mass omega at a gray scale level of delta corresponding to the dye mu, omega o (δ) represents the mass of the gray polyester with mass ω at the δ -th gray level; then step D2 is entered;
step D2. is based on ω α (δ)＝ω β (δ)＝ω γ (δ)＝ω ε (δ)＝ω θ (δ)＝ω μ (δ)＝ω o (δ) ═ ω, and ω oεα (j 1 ,j 2 ,j 3 ,δ)＝ω oβε (j 1 ,j 2 ,j 3 ,δ)＝ω oθβ (j 1 ,j 2 ,j 3 ,δ)＝ω oγθ (j 1 ,j 2 ,j 3 ,δ)＝ω oμγ (j 1 ,j 2 ,j 3 ,δ)＝ω oαμ (j 1 ,j 2 ,j 3 δ) ═ ω, and j 3 ＝12-j 2 The more recent formula (32) is the following formula (34)
Namely, the quality omega of six groups of ternary double-coupling mixed color combinations on each gray level surface is obtained by updating oεα (j 1 ,j 2 ,δ),ω oβε (j 1 ,j 2 ,δ),ω oθβ (j 1 ,j 2 ,δ),ω oγθ (j 1 ,j 2 ,δ),ω oμγ (j 1 ,j 2 ,δ),ω oαμ (j 1 ,j 2 ,δ)；
The above formula is determined by the parameters delta and j related to gray value and chroma 1 A hue-related parameter j 2 The coupling change of the polyester is further regulated and controlled, and the change of the hue, the gray level and the chroma of the polyester is further regulated and controlled;
when δ is constant, j 1 When 1, by j 2 The color mixture sample is respectively regulated and controlled by the change of (1): omega oεα (j 1 ,j 2 Delta) realization of the color C α And color C ε Change in hue between, ω oβε (j 1 ,j 2 Delta) realization of the color C ε And color C β Change in hue between, ω oθβ (j 1 ,j 2 Delta) realization of the color C β And color C θ Change in hue between, ω oγθ (j 1 ,j 2 Delta) realization of the color C θ And color C γ Change in hue between, ω oμγ (j 1 ,j 2 Delta) realization of the color C γ And color C μ Change in hue between, ω oαμ (j 1 ,j 2 Delta) realization of the color C μ And color C α A change in hue therebetween;
when δ is constant, j 2 When 1, by j 1 The color mixture sample is respectively regulated and controlled by the change of (1): omega oεα (j 1 ,j 2 Delta) realization of the color C α With color C 0 Change in chroma between, omega oβε (j 1 ,j 2 Delta) realizing the color C ε And color C 0 The chroma change in between; omega oθβ (j 1 ,j 2 Delta) realization of the color C β And color C o Change in chroma between, omega oγθ (j 1 ,j 2 Delta) realization of the color C θ And color C 0 Change in chroma between, omega oμγ (j 1 ,j 2 Delta) realization of the color C γ And color C 0 Change of chroma betweenChange of omega oαμ (j 1 ,j 2 Delta) realization of the color C μ And color C o The chroma change in between;
when delta is 1-17, omega oεα (j 1 ,j 2 ,δ),ω oβε (j 1 ,j 2 ,δ),ω oθβ (j 1 ,j 2 ,δ),ω oγθ (j 1 ,j 2 ,δ),ω oμγ (j 1 ,j 2 ,δ),ω oαμ (j 1 ,j 2 δ) the variation in gray scale is achieved as a whole; then step D3 is entered;
d3, obtaining the mass mixing ratio of the seven-primary-color polyester in each ternary double-coupling mixed-color combination on each gray level gray surface according to the formula (34)
The following were used:
for omega oεα (j 1 ,j 2 ,δ)：
For omega oβε (j 1 ,j 2 ,δ)：
For omega oθβ (j 1 ,j 2 ,δ)：
For omega oγθ (j 1 ,j 2 ,δ)：
For omega oμγ (j 1 ,j 2 ,δ)：
For omega oαμ (j 1 ,j 2 ,δ)：
Then step D4 is entered;
step D4. combines the color values C of the six primary color polyester on each gray scale gray plane according to equations (35) - (40) 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 ) Obtaining the color value C (j) of the seven-primary-color polyester on each gray scale gray plane 1 ,j 2 ,δ)＝[C r (j 1 ,j 2 ,δ) C g (j 1 ,j 2 ,δ) C b (j 1 ,j 2 ,δ)] T The following formula (42) is given, and then the process proceeds to step D5;
step D5. combines the seven primary color polyesters ω on the gray scale gray plane according to equations (35) - (40) α 、ω ε 、ω β 、ω θ 、ω γ 、ω μ 、ω o Mass mixing ratio of
Then the dye counterweight omega of seven-primary-color ternary dual-coupling seven-primary-color polyester is obtained o (j 1 ,j 2 ,δ),ω α (j 1 ,j 2 ,δ),ω ε (j 1 ,j 2 ,δ),ω β (j 1 ,j 2 ,δ),ω θ (j 1 ,j 2 ,δ),ω γ (j 1 ,j 2 ,δ),ω μ (j 1 ,j 2 δ) is as follows for formula (43):
9. the seven-base-color polyester three-dimensional gridding, mixing and three-dimensional color stereo and full-color-domain color matching method based on gradient gray scale values as claimed in claim 1, wherein: the step E comprises the following steps E1 to E6;
step E1, combining six ternary double-coupling color mixing rectangular gridding models formed on each gray level surface based on seven-primary-color polyester, realizing splicing of the same lines between the models in a mode that one of the grids is reserved at the head and the tail of the same line between the models, and using j as a reference 1 Showing the lines of the spliced model, showing the columns of the spliced model, combining the lines into a full-hue gridding color mixing model through j 1 And zeta change, regulate and control all changes of hue and chroma on the gray level, then enter step E2; ζ 1,2, … …, 60;
step E2, combining the panchromatic phase gridding color mixing models formed by 17 gray surfaces according to the size sequence of the delta value to form a panchromatic domain gridding color solid, associating the gray values on all the gray surfaces with the concentration of the seven-primary-color polyester dye and the color value of the polyester on the corresponding gray surface with equal height, and passing through j 1 Zeta and delta changes, the change of the hue, chroma and gray scale of the seven-primary-color polyester is regulated and controlled within the full color domain range, and then the step E3 is carried out;
step E3. gridding the color volume based on the gamut for j corresponding to different grid points 1 The zeta and delta values form the grid point coordinates P (j) 1 ζ, δ), the grid point coordinate matrix composed of all grid points in the full-color-domain gridding color solid is as shown in formula (44), and then the procedure goes to step E4;
step E4. is based on j corresponding to different grid points in the three-dimensional color volume 1 Zeta value and delta value, calculating the mixing ratio of the seven-primary-color polyester corresponding to each grid point by the formulas (35) to (40)
The following;
the mixing ratio matrix of the panchromatic stereoscopic grid points:
then proceed to step E5;
step E5. is based on the mixing ratio of the seven primary color polyesters corresponding to the grid points
The color matrix of the panchromatic stereoscopic grid points is then:
then proceed to step E6;
step E6. based on the seven primary color polyester omega on the gray scale gray plane α 、ω ε 、ω β 、ω θ 、ω γ 、ω μ 、ω o Mass mixing ratio of
Then the dye counterweight omega of seven-primary-color ternary dual-coupling seven-primary-color polyester is obtained o (j 1 ,j 2 ,δ),ω α (j 1 ,j 2 ,δ),ω ε (j 1 ,j 2 ,δ),ω β (j 1 ,j 2 ,δ),ω θ (j 1 ,j 2 ,δ),ω γ (j 1 ,j 2 ,δ),ω μ (j 1 ,j 2 δ) is as follows for formula (55):
then the weighted matrix of the panchromatic stereoscopic grid points:
10. the seven-base-color polyester three-dimensional gridding, mixing and three-dimensional color stereo and full-color-domain color matching method based on gradient gray scale values as claimed in claim 1, wherein: the step F comprises the following steps F1 to F4;
step F1, constructing a cylindrical full-color-domain gridding color solid based on the full-color-domain gridding color solid constructed by the seven-primary-color ternary dual-coupling color mixing mode, wherein the cylindrical full-color-domain gridding color solid is constructed in a mode that lines on a gray level are twisted into concentric circles, and grid point coordinates P (j) in the cylindrical full-color-domain gridding color solid 1 ζ, δ) into three-dimensional polar coordinates P (j) 1 ,ζ,δ)＝[θ(j 1 ,ζ,δ)ρ(j 1 ,ζ,δ)z(j 1 ,ζ,δ)]Polar angle θ (j) 1 ζ, δ), polar radius ρ (j) 1 ζ, δ) and height z (j) 1 ζ, δ) is obtained by the formula (57), and then proceeds to step F2;
the grid point coordinates may be expressed as:
P(j 1 ,ζ,δ)＝[θ(j 1 ,ζ,δ) ρ(j 1 ,ζ,δ) z(j 1 ,ζ,δ)]＝[(ζ-1)×60°/10 (11-j 1 )/10 δ] (58)
radical F2.At the height coordinate z (j) 1 Zeta, delta) equal grid points to construct an equal height gray level visualization chromatogram; wherein, the grid point quality matrix [ T (j) of the equal height gray level surface 1 ,ζ,δ)]Comprises the following steps:
according to the quality matrix [ T (j) 1 ,ζ,δ)]Obtaining a corresponding mixing ratio matrix
Comprises the following steps:
according to the mixing ratio matrix
Obtaining the corresponding chromatography matrix [ C (j) 1 ,ζ,δ)]Comprises the following steps:
then proceed to step F3;
step F3. is based on the polar radius coordinate ρ (j) 1 Zeta, delta) equal grid points to construct a visual chromatogram of the equal radius chroma surface;
wherein, the grid point quality matrix [ T (j) of the constant radius chroma surface 1 ,ζ,δ)]Comprises the following steps:
according to the quality matrix [ T (j) 1 ,ζ,δ)]I.e. to obtain a mixing ratio matrix
Comprises the following steps:
according to the mixing ratio matrix
Determining a chromatography matrix [ C (j) 1 ,ζ,δ)]Comprises the following steps:
then proceed to step F4;
step F4. is based on the polar angular coordinate θ (j) 1 Zeta, delta) are equal, and an equiangular color phase surface visualization chromatogram is constructed;
wherein, the grid point quality matrix [ T (j) of the equal angle color phase surface 1 ,ζ,δ)]Comprises the following steps:
according to the quality matrix [ T (j) 1 ,ζ,δ)]I.e. to obtain a mixing ratio matrix
Comprises the following steps:
according to the mixing ratio matrix
Determining a chromatography matrix [ C (j) 1 ,ζ,δ)]Comprises the following steps:
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| WO2023202109A1 (en) * | 2022-04-19 | 2023-10-26 | 江南大学 | Seven-primary-color fiber full-color-gamut color mixing mode and annular grid color blending model construction, and colored yarn spinning method |
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