CN115115716B

CN115115716B - Color space constructed by four-primary-color polyester gridding mixing and full-color domain digitizing method

Info

Publication number: CN115115716B
Application number: CN202210598655.8A
Authority: CN
Inventors: 曹欣羊; 薛元; 汪森军; 朱文硕; 赵江峰; 章军
Original assignee: Zhejiang Huaxin Advanced Materials Co ltd
Current assignee: Zhejiang Huaxin Advanced Materials Co ltd
Priority date: 2022-05-30
Filing date: 2022-05-30
Publication date: 2024-04-30
Anticipated expiration: 2042-05-30
Also published as: CN115115716A

Abstract

The invention relates to a color solid constructed by four-primary color polyester gridding compound and a full-color gamut color matching digitizing method thereof, firstly, a four-primary color polyester (master batch) gridding compound system is constructed based on three-primary color gray balance; based on a four-primary color mixed system formed by three-primary color polyesters with different gray scales, correlating gray scale values with the concentration of the four-primary color polyester dye and the color value of the polyester, and constructing a full-color domain color solid capable of regulating and controlling the gray scale, the hue and the chroma of mixed color polyester (master batch) in the full-color domain range; then, a method for constructing a full-color gamut color stereoscopic body based on the total 51 primary color polyesters of 17 gray levels is provided, and a full-color gamut color stereoscopic visual color spectrum is constructed based on the equal-height gray level surface, the equal-angle color phase surface and the equal-radius color gamut surface of the color stereoscopic body; finally, a method for obtaining the three primary color polyester ratio based on the sample color value is provided; the whole design method can provide big data to carry out color innovation and color prediction, has stable working quality, and realizes the intellectualization of color design and application.

Description

Color space constructed by four-primary-color polyester gridding mixing and full-color domain digitizing method

Technical Field

The invention relates to a color space constructed by gridding and mixing four-primary-color polyester and a full-color domain digitizing method thereof, belonging to the technical field of color regulation in textile industry.

Background

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

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

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

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

2. The working mode of coloring polyester by using stock solution 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 color matching of raw liquid coloring polyester, the fragmentation phenomenon is serious, and a full-color-gamut color matching system and a related digital design theory are needed to be established so as to realize the intellectualization of color design and application.

Disclosure of Invention

The invention aims to solve the technical problem of providing a color space constructed by four-primary-color polyester gridding mixing and a full-color domain digitizing method thereof, and the intellectualization of color design and application can be realized by adopting an all-new color mixing design strategy.

The invention adopts the following technical scheme for solving the technical problems: the invention designs a color solid constructed by four primary color polyester gridding compounding and a full color domain digitizing method thereof, which comprises the following steps:

Step A, selecting dyes alpha, beta and gamma with 120-degree phase angle difference to respectively prepare three-primary-color polyester omega _α,ω_β,ω_γ with omega, adjusting the dye concentration to enable the three-primary-color polyester to be equally mixed to obtain gray polyester omega _o with RGB color value of (128,128,128) and omega, obtaining the dye concentration, color value and dye balance weight of the three-primary-color polyester in the gray polyester, and then entering the step B;

Step B, preparing mixed color polyester on a gray level based on four primary color polyester formed by three primary color polyester and gray polyester, forming three ternary dual coupling mixed color combinations on the gray level by using the combination of any two primary color polyester in the four primary color polyester and gray polyester based on a preset reference discrete number corresponding to the quality of the polyester, namely, obtaining the mixing ratio, color value and dye counterweight of the mixed color polyester on the gray level by using the four primary color ternary dual coupling mixed color mode on the gray level, and then entering the step C;

Dividing 17 gray levels at equal intervals from light to dark on the basis of gray polyester gray values to obtain gray values corresponding to the 17 gray levels respectively, obtaining gray polyester dye concentrations lambda _o (delta) corresponding to the 17 gray levels from low concentration to high concentration and color values C _o (delta) of the gray polyester dye concentrations lambda _α(δ)、λ_β(δ)、λ_γ (delta) corresponding to the 17 gray levels respectively, and obtaining color values C _α(δ)、C_β(δ)、C_γ (delta) of the three primary polyester dye concentrations lambda _α(δ)、λ_β(δ)、λ_γ (delta) corresponding to the gray polyester dye concentrations, and the polyester color values C _α(δ)、C_β(δ)、C_γ (delta) of the three primary polyester dye concentrations on the gray levels corresponding to the equal heights, correlating the gray values on the gray levels with the four primary polyester dye concentrations and the polyester color values on the gray levels corresponding to the equal heights through the steps, and then entering step D; delta represents gray scale;

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

E, forming a full-color phase gridding color mixing model through three ternary dual coupling color mixing combinations on the gray level surfaces, forming a full-color domain gridding color solid through the full-color phase gridding color mixing models on 17 gray level surfaces, further obtaining coordinates, mixing ratio, color value and dye counterweight of grid points in the full-color domain gridding color solid, and then entering the step F;

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

Compared with the prior art, the color space constructed by the four-primary-color polyester gridding mixing and the full-color domain digitizing method thereof have the following technical effects:

The invention designs a color solid constructed by gridding and mixing four-primary-color polyester and a full-color domain digitizing method thereof, firstly, a gridding and mixing system of the four-primary-color polyester (master batch) is constructed based on gray balance of three primary colors; then based on a four-primary color mixing system of three-primary color polyester (master batch) with different gray scales, the full-color domain color stereoscopic body is constructed; then, based on the full-color domain color space of the three-primary-color polyester (master batch), regulating and controlling the gray level, hue and chroma of the mixed-color polyester (master batch) in the full-color domain range; then constructing a full-color-gamut color-stereoscopic visual color spectrum based on the equal-height gray level surface, the equal-angle color phase surface and the equal-radius color level surface; and then based on 51 primary color polyesters on 17 gray levels, a full-color gamut color stereoscopic is constructed; finally, based on the color value of the sample, obtaining the ratio of the three primary color polyesters; the whole design method can provide big data to carry out color innovation and color prediction, has stable working quality, and realizes the intellectualization of color design and application.

Drawings

FIG. 1 is a schematic flow chart of a color space and full color domain digitizing method of four primary color polyester gridding compounding construction designed by the invention;

FIGS. 2a and 2b are graphs showing curve fitting of gray polyester dye concentration to gray scale value;

FIG. 3 is a diagram of a full-color phase gridded color mixing model in an embodiment of the present invention;

FIG. 4 is a perspective illustration of full-gamut gridding in an embodiment of the invention;

FIG. 5 is a perspective view of a cylindrical full gamut gridding color in an embodiment of the invention;

FIG. 6 is a medium-height gray-scale full-color phase color mixing annular color spectrum of an embodiment of the invention;

FIG. 7 is a flow chart of recipe retrieval in an embodiment of the present invention;

FIG. 8 is a schematic diagram of the index positioning of a sample in a color volume in an embodiment of the invention;

FIG. 9 is a schematic diagram of a medium gray scale full color phase color mixing annular color spectrum in an embodiment of the invention;

FIG. 10 is a schematic diagram of a serialized color-mixed polyester with different angle hues of the same radius chroma on a middle gray level surface in an embodiment of the invention;

FIG. 11 is a schematic illustration of a serialized color-mixed polyester with different radius colorations of equiangular hues on a mid-gray plane in an embodiment of the present invention;

FIG. 12 is a schematic diagram of a constant radius chroma plane meshing model in an embodiment of the invention;

FIG. 13 is a schematic diagram of a serialized color-mixed polyester with different angle hues of high gray scale on an equal radius chroma plane in an embodiment of the invention;

FIG. 14 is a schematic diagram of a serialized color-mixed polyester with different high gray levels of the same angle hue on the equal radius chroma plane in an embodiment of the present invention;

FIG. 15 is a schematic view of an isometric color phase plane gridding model in an embodiment of the invention;

FIG. 16 is a schematic illustration of a serialized color-mixed polyester with different radius colorations for the same height gray scale on an equiangular color phase in an embodiment of the present invention;

FIG. 17 is a schematic diagram of a serialized color-mixed polyester for gray scale levels of different heights with equal radius chroma on an equiangular color phase surface in an embodiment of the present invention.

Detailed Description

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

The invention designs a color solid constructed by four-primary color polyester gridding compounding and a full-color domain digitizing method thereof, firstly, based on three-primary color gray balance, a constructed four-primary color polyester (master batch) gridding compounding system is matched with three-primary color polyester (or master batch) based on a hue angle of 120 DEG, the three-primary color polyester (or master batch) is equivalently mixed based on a gray value of 50 (RGB 128,128,128), the mixed polyester is regulated and controlled to reach gray balance (middle gray value of 50) by changing the dye concentration of the three-primary color polyester (or master batch), the ratio of the color value and the dye concentration of the three-primary color polyester (or master batch) reaching gray balance is obtained, and the obtained gray balance three-primary color polyester (or master batch) is equivalently mixed to obtain gray polyester (or master batch), thereby constructing the four-primary color polyester (master batch) compounding system containing three primary colors and gray.

Constructing a ternary dual-coupling blending mode, combining gray-balanced four-primary-color polyester (master batch) into three ternary dual-coupling blending sub-models, and then assembling the three blending sub-models into a full-color phase color mixing model (ring-shaped or rectangular-shaped) to realize gridding blending of the four-primary-color polyester (master batch); the mixing ratio of the four-primary color polyester (master batch) can be obtained through a full-color phase mixing model, and the color mixing hue and chroma of the four-primary color polyester (master batch) can be regulated and controlled through regulating and controlling the mixing ratio.

And then based on a four-primary color mixing system of three-primary color polyester (master batch) with different gray scales, the full-color domain color solid is constructed, and the color solid is characterized in that: the three-dimensional coordinates of the color space represent the hue by polar angle, the chroma by polar radius and the gray scale by height; on this basis, 330×17=5610 grid points are divided, and three-dimensional polar coordinate values, color values, four-primary color polyester mixing ratio and dye weights on each grid point are defined.

In a four-primary color mixed system of three-primary color polyester (master batch), taking gray polyester as a reference, taking a gray level surface with a gray value equal to 50 as a middle gray level surface, taking a gray level surface with a gray value equal to 2 as a light gray level surface, and taking a gray level surface with a gray value equal to 98 as a dark gray level surface; planning 17 gray levels by taking gray level 6 as an increasing and decreasing gradient; selecting a gray polyester dye concentration variation range according to a planned gray value range of 17 gray levels, performing proofing through gradient variation of the gray polyester dye concentration, testing a color value 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 (master batch) gray value and the dye concentration by adopting a curve fitting method, thereby correlating the gray value on each equal-height gray level with the four-primary color polyester dye concentration and the polyester color value on the corresponding equal-height gray level. According to the fitted function formula, the corresponding gray polyester dye concentration can be calculated based on the gray value, and the corresponding gray value can also be calculated based on the gray polyester dye concentration.

Based on the dye concentration of each gray polyester (master batch) on 17 gray surfaces and the ratio of the dye concentration of the four-primary-color polyester (master batch) with gray balance, the specific dye concentration (68 total) of the four-primary-color polyester (master batch) on each gray surface can be obtained; sampling according to the specific dye concentration of the four-primary color polyester (master batch) on each gray level surface to obtain four-primary color polyester (master batch) samples on each gray level surface, and obtaining the color values of the four-primary color polyester (master batch) on each gray level surface through a spectrocolorimeter; based on the planned gray level and the four-primary-color gridding mixing mode planned on each gray level, full-color domain color solids containing 5610 grid points can be constructed, and the parameters such as color values, concentration values and four-primary-color polyester (master batch) mixing ratio of each grid point, three-dimensional polar coordinates (respectively representing polar angles by hue, radius by chroma and height by gray level) of each grid point and the like are expressed in the full-color domain color solids.

Then, based on the full-color domain color space of the three-primary-color polyester (master batch), regulating and controlling the gray scale, the hue and the chroma of the mixed-color polyester (master batch) in the full-color domain range, and acquiring the color values of 17 groups of three-primary-color polyester on each gray scale surface by taking the gray scale value corresponding to the 17 gray scale surfaces as a reference; on each gray level, a four-primary color polyester (master batch) gridding mixed system is constructed through three-primary color polyester (master batch) with gray balance, and the hue change and the chroma change of the mixed polyester (master batch) are regulated and controlled through the mixed proportion change of the three-primary color polyester (master batch) on 330 grid points on each gray level; the gray value change of the four-primary color polyester (master batch) on 17 gray levels is regulated and controlled through the change of the corresponding three-primary color polyester dye concentration on 17 different gray levels, so that the gray value change of 330 grid points on the gray levels is regulated and controlled.

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

The color space is divided into 17 equal-height gray level surfaces according to the coordinate value z (delta) of the full-color-gamut gridding color space, and an equal-height gray level surface chromatographic matrix is planned through coordinates on the 17 equal-height gray level surfaces, so that the visualization of the equal-height gray level surface chromatogram of the full-color-gamut color space is realized.

The color space is divided into 11 equal-radius chroma planes according to the coordinate value polar radius rho (j ₁) of the full-color-gamut gridding color space, and the equal-radius chroma plane chromatographic matrix is planned through coordinates on the 11 equal-radius chroma planes, so that the visualization of the equal-radius chroma plane chromatogram of the full-color-gamut color space is realized.

And dividing the color space into 30 equiangular color phase surfaces according to the coordinate value polar angle theta (j ₁, ζ) of the full-color-gamut gridding color space, and planning an equiangular color phase surface chromatographic matrix through coordinates on the 30 equiangular color phase surfaces, thereby realizing the visualization of the equiangular color phase surface chromatograph of the full-color-gamut color space.

And then based on 51 primary color polyesters on 17 gray levels, a full-color gamut color stereoscopic is constructed; based on the constructed full-color domain color solid, the color polyester is divided into 17 grades according to gray values, three primary color polyesters are configured for each gray level, 330 polyesters with different colors can be obtained based on the grid mixing of the three primary color polyesters, and 17 polyester with 5610 colors in total of gray levels can be obtained on 17 gray levels.

Finally, based on the color value of the sample, obtaining the ratio of the three primary color polyesters; based on the polyester color to be configured, the position of the color space in the color space and the color change range thereof are obtained through the retrieval and comparison of all grid points of the color space, the grid point closest to the color space is selected as the basis for determining the formula of the color space, and the precise color matching is carried out by adjusting the proportion of the three primary color polyester of the grid point.

In the established cylindrical full-color gamut color stereoscopic, color values of grid points are converted from an RGB system to an HSL system. And obtaining a sample color value C (H, S and D) through a color meter, and searching and positioning in a color space according to the color value of the sample. Firstly, finding two adjacent equal-angle color phase surfaces according to an H-value, secondly, finding two adjacent equal-radius color planes according to an S-value, and finally positioning 8 adjacent grid points according to two adjacent equal-height gray level planes found according to a D-value. And judging the distance between the sample color and 8 grid points in the color space according to the proportional relation between the difference value of H and the smaller hue angle and the difference value of the two hue angles, the proportional relation between the difference value of S and the shorter polar radius and the difference value of the two polar radii and the proportional relation between the difference value of D and the smaller gray value and the difference value of the two gray values, selecting the nearest grid point as the basis for determining the formula of the sample color, and carrying out accurate color matching by adjusting the proportion of the three primary color polyester of the grid point.

In practical application, the color solid constructed by the four-primary color polyester gridding compounding and the full-color domain digitizing method thereof are constructed by a four-primary color polyester compounding system composed of three-primary color polyester and gray polyester based on gray balance, and a specific technical route flow is shown in figure 1. The method comprises the steps of obtaining three primary color dyes with 120 degrees of hue difference through dye preference, obtaining dye concentration ratio and color value of gray balance three primary color polyester through sampling through adjustment of dye concentration of the three primary color polyester, establishing a four primary color polyester mixed system formed by the three primary color polyester and the mixed gray polyester, and constructing 3 ternary dual-coupling mixed sub-model through mass dispersion of the four primary color polyester to form a four primary color full-hue mixed model through combination. And planning 17 gray levels at equal gray intervals based on gray values of gray polyester, performing proofing through gradient change of gray polyester dye concentration, testing the color value of the gray polyester, obtaining the functional relation between the gray polyester dye concentration and the gray values, calculating the corresponding gray polyester dye concentration based on the gray values, calculating the four-primary polyester dye concentration on the 17 gray levels according to the four-primary polyester dye concentration ratio during gray balance, and performing proofing to obtain the color value of the gray polyester. And constructing a full-color-domain gridding color stereoscopic body comprising three-dimensional polar coordinate values, color values, three-primary-color polyester mixing ratios and three-primary-color dye weights of grid points based on the four-primary-color polyester dye concentration, color values and four-primary-color full-color mixing models on 17 gray levels. And a full-color gamut color stereoscopic visual color spectrum is constructed through the equal-height gray level surface, the equal-radius color level surface and the equal-angle color phase surface. According to the gridding color stereo, the sample color can be searched and positioned, and the formula of the grid point with the minimum distance is output through the calculation of the distance, so that the sample color is mixed.

In practical application, the color space constructed by the four-primary color polyester gridding compounding and the full color domain digitizing method thereof specifically execute the following steps A to F.

According to the principle of color matching of the three primary color dyes, the hue, brightness and chroma of the mixed polyester are expected to be regulated by changing the mixing ratio of the three primary color polyesters, and if the three primary color polyesters are mixed in equal proportion and a standard gray polyester system cannot be obtained, the concentration of the three primary color polyesters can be regulated by the color value of the standard gray and the color values of the three primary color polyesters are mutually matched so that the color values of the mixed polyester reach the requirement of the standard gray. The three primary color polyester with matched concentration is obtained through the gray balance, and a color matching system is constructed to regulate and control color matching.

And A, selecting dyes alpha, beta and gamma with 120-degree phase angle difference to respectively prepare trichromatic polyester omega _α,ω_β,ω_γ with omega mass, regulating the dye concentration to enable the trichromatic polyester to be mixed in equal quantity to obtain gray polyester omega _o with RGB color value of (128,128,128) and omega mass, obtaining the dye concentration, color value and dye balance weight of the trichromatic polyester in the gray polyester, and then entering the step B.

And B, preparing mixed color polyester on the gray level based on four primary color polyester formed by three primary color polyester and gray polyester, combining any two primary color polyester in the four primary color polyester with gray polyester based on a preset reference discrete number corresponding to the quality of the polyester to form three ternary dual coupling mixed color combinations on the gray level, namely, a four primary color ternary dual coupling mixed color mode on the gray level, obtaining the mixing ratio, color value and dye counterweight of the mixed color polyester on the gray level, and then entering the step C.

In practical applications, the step B includes the following steps B1 to B6.

Step B1, forming four primary color polyesters on a gray level according to the three primary color polyesters and the gray polyester obtained by gray level balance, and forming three ternary dual coupling color mixing combinations on the gray level by combining any two primary color polyesters in the four primary color polyesters with the gray polyester based on preset reference discrete numbers corresponding to the quality of the polyesters, wherein the quality ω_oβα(j₁,j₂,j₃),ω_oγβ(j₁,j₂,j₃),ω_oαγ(j₁,j₂,j₃) of the three ternary dual coupling color mixing combinations on the gray level is as follows:

Wherein: j ₁,j₂,j₃＝1,2,3,…,10,11,ω_α represents the mass of the primary polyester of mass ω for dye α, ω _β represents the mass of the primary polyester of mass ω for dye β, ω _γ represents the mass of the primary polyester of mass ω for dye γ, ω _ο represents the mass of the gray polyester of mass ω, and then step B2 is entered.

Step b2. Formula (3) is obtained according to ω _α＝ω_β＝ω_γ＝ω_o =ω and ω_oβα(j₁,j₂,j₃)＝ω_oγβ(j₁,j₂,j₃)＝ω_oαγ(j₁,j₂,j₃)＝ω, in combination with the dual-coupled color mixing definition as follows:

j₃+j₂＝12 (3)

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

The above-mentioned method reflects that 2 primary color polyesters and 1 gray polyester are selected from four primary color polyesters to perform ternary dual coupling color mixing mode, and the change of hue and chroma of the color mixing polyester is further regulated and controlled through coupling change of a parameter j ₂ related to hue and a parameter j ₁ related to chroma.

When j ₁ =1, the color mixing samples can be respectively regulated and controlled by the change of j ₂: w _oβα(j₁,j₂) to achieve a hue change between C _α and C _β; w _oγβ(j₁,j₂) to achieve a hue change between C _β and C _γ; w _oαγ(j₁,j₂) to achieve a hue change between C _γ and C _α;

when j ₂ =1, the color mixing samples can be respectively regulated and controlled by the change of j ₁: w _oβα(j₁,j₂) effecting a change in chroma between C _α and C ₀, W _oγβ(j₁,j₂) effecting a change in chroma between C _β and C ₀; w _oαγ(j₁,j₂) to achieve a chroma change between C _γ and C _o;

Step B3. According to omega _ο＝(ω_α+ω_β+ω_γ)/3, the update (4) is the following formula (5):

I.e. updating the quality ω_oβα(j₁,j₂)、ω_oγβ(j₁,j₂)、ω_oαγ(j₁,j₂), of the three ternary dual coupling color mixing combinations on the gray level surface, and then entering step B4.

Step B4. according to formula (5), obtaining the mass mixing ratio of the polyester omega _α,ω_β,ω_γ with three primary colors corresponding to the dye alpha, the dye beta and the dye gamma respectively in the three ternary dual-coupling mixed color combinations on the gray levelThe following are provided:

For ω _oβα(j₁,j₂):

For ω _oγβ(j₁,j₂):

For ω _oαγ(j₁,j₂):

Step B5 is then entered.

Step B5., according to formulas (6), (7) and (8), combining the color values C_α(R_α,G_α,B_α)、C_β(R_β,G_β,B_β)、C_γ(R_γ,G_γ,B_γ), of the three primary color polyesters omega _α,ω_β,ω_γ on the gray level to obtain the color value C(j₁,j₂)＝[C_r(j₁,j₂) C_g(j₁,j₂) C_b(j₁,j₂)]^T of the mixed color polyester on the gray level as formula (10), and then proceeding to step B6.

Step B6. obtains the dye quality τ_α(j₁,j₂),τ_β(j₁,j₂),τ_γ(j₁,j₂), corresponding to the three primary color dyes alpha, beta and gamma in each mixed color polyester on the gray level surface according to the formulas (6), (7) and (8) by combining the dye concentration lambda _α,λ_β,λ_γ or the dye weight p _α,p_β,p_γ of the three primary color polyester omega _α,ω_β,ω_γ on the gray level surface.

Let ：τ(j₁,j₂)＝[τ_α(j₁,j₂) τ_β(j₁,j₂) τ_γ(j₁,j₂)]^T, be:

Dividing 17 gray levels at equal intervals from light to dark on the basis of gray polyester gray values to obtain gray values corresponding to the 17 gray levels respectively, obtaining gray polyester dye concentrations lambda _o (delta) corresponding to the 17 gray levels from low concentration to high concentration and a color value C _o (delta) thereof through a preset test, further obtaining three primary polyester dye concentrations lambda _α(δ)、λ_β(δ)、λ_γ (delta) corresponding to the 17 gray levels respectively and a color value C _α(δ)、C_β(δ)、C_γ (delta) thereof, and then entering a step D; delta represents the gray scale.

In practical applications of the above step C, the following steps C1 to C3 are specifically executed.

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

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

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

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

TABLE 1

Sequence number	D₁	D₂	D₃	D₄	D₅	D₆	D₇	D₈	D₉	D₁₀	D₁₁	D₁₂	D₁₃	D₁₄	D₁₅	D₁₆	D₁₇
																		Gray scale value	2	8	14	20	26	32	38	44	50	56	62	68	74	80	86	92	98

Step C2., based on a fitted function relation between gray polyester gray values and dye concentrations obtained in advance, obtaining mixed dye concentrations lambda _o (delta) corresponding to gray polyester on gray level surfaces respectively, and then entering step C3; wherein, lambda _o (delta) represents the concentration of the mixed dye corresponding to the gray polyester on the delta-th gray level.

In step C2, the data of gray polyester dye concentration and gray value obtained based on the test are shown in Table 2.

TABLE 2

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

If the polyester gray value is taken as an independent variable x and the dye concentration is taken as an independent variable y, as shown in fig. 2a, the function relationship of the fitted curve between the pre-obtained polyester gray value and the corresponding dye concentration is as follows:

y＝a(1-b^x)

Wherein a= -0.00119 and b= 1.07529.

If the dye concentration is taken as an independent variable x and the polyester gray value is taken as an independent variable y, as shown in fig. 2b, the function of the fitted curve between the pre-obtained polyester gray value and the corresponding dye concentration is as follows:

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

Further, in practical application, gray polyester dye concentrations corresponding to gray values of different gray levels were obtained as shown in table 3.

TABLE 3 Table 3

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

On each gray level, mixing the alpha, beta, gamma dyes with the present white polyester chip according to the weight of p _α(δ),p_β(δ),p_γ (delta) and the weight of p _α(δ)+p_β(δ)+p_γ (delta) ]/3 respectively to obtain a polyester system weight of omega _α(δ),ω_β(δ),ω_γ(δ),ω_ο (delta), wherein the concentration of each dye in the polyester system is lambda _α(δ),λ_β(δ),λ_γ(δ),λ_ο (delta), delta=1, 2, and the number of the gray levels is 16,17, and on 17 gray levels defined by taking lambda _o (delta) as a reference, lambda _α(δ),λ_β(δ),λ_γ(δ),λ_ο (delta) satisfies the following relation:

λ_α(δ)+λ_β(δ)+λ_γ(δ)＝3λ_o(δ) (14)

λ_α(δ):λ_β(δ):λ_γ(δ)＝λ_α:λ_β:λ_γ＝p_α:p_β:p_γ (15)

Step C3., setting epsilon ₁＝λ_β(δ)/λ_α(δ)、ε₂＝λ_γ(δ)/λ_α (delta) according to the mixed dye concentration lambda _o (delta) corresponding to the gray polyester in each gray level surface respectively, and adopting the following formulas (16), (17) and (18);

And combining the preset value of epsilon ₁、ε₂ to obtain the concentrations lambda _α(δ)、λ_β(δ)、λ_γ (delta) corresponding to the dyes alpha, beta and gamma on the gray balance surface of each gray level, and then entering the step C4.

In the application, 68 polyester samples were prepared according to the dye concentrations of the four primary colors, and the color values of the samples were respectively measured by using a color meter, and the color measurement results are shown in table 4.

TABLE 4 Table 4

And C4, proofing according to dye concentration lambda _α(δ)、λ_β(δ)、λ_γ(δ)、λ_o (delta) of the four-primary-color polyester on the gray level surface of each gray level, testing the color of the sample by using a color tester, and then entering the step D.

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

In practical applications, the step D specifically executes steps D1 to D4.

Step D1, forming four primary color polyesters on each gray level by using three primary color polyesters and gray polyesters on each gray level, and forming three ternary double-coupling color mixing combinations on each gray level by using any two primary color polyesters in the four primary color polyesters and gray polyesters based on preset reference discrete numbers corresponding to the quality of the polyesters, wherein the quality ω_oβα(j₁,j₂,j₂,δ),ω_oγβ(j₁,j₂,j₂,δ),ω_oαγ(j₁,j₂,j₂,δ) of each ternary double-coupling color mixing combination on each gray level is as follows:

where j ₁,j₂,j₃＝1,2,3,…,10,11,δ＝1,2,...,16,17,ω_α (δ) represents the mass of the primary color polyester of a mass ω at the delta-th gray level, ω _β (δ) represents the mass of the primary color polyester of a mass ω at the delta-th gray level, ω _γ (δ) represents the mass of the primary color polyester of a mass ω at the delta-th gray level, and ω _ο (δ) represents the mass of the gray polyester of a mass ω at the delta-th gray level.

The above formula further regulates the changes of hue, shade and chroma of the mixed-color polyester through the coupling changes of the parameter delta related to the gray level of the color, the parameter j ₂ related to the hue and the parameter j ₁ related to the chroma.

When j ₁ =1, the color mixing samples can be respectively regulated and controlled by the change of j ₂,j₃: omega _oβα(j₁,j₂,j₃, delta) to achieve a hue change between primary polyester colors C _α and C _β on the delta-th gray scale balance plane; omega _oγβ(j₁,j₂,j₃, delta) to achieve a hue change between primary polyester colors C _β and C _γ on the delta-th gray scale balance plane; omega _oαγ(j₁,j₂,j₃, delta) to achieve a hue change between primary polyester colors C _γ and C _α on the delta-th gray scale balance plane;

When j ₂ =1, the color mixing samples can be respectively regulated and controlled by the change of j ₁,j₃: omega _oβα(j₁,j₂,j₃, delta) to achieve a change in chroma between primary color polyester colors C _α and C ₀ on the delta-th gray scale level gray scale balance plane, omega _oγβ(j₁,j₂,j₃, delta) to achieve a change in chroma between primary color polyester colors C _β and C ₀ on the delta-th gray scale level gray scale balance plane; omega _oαγ(j₁,j₂,j₃, delta) to achieve a change in chroma between primary polyester colors C _γ and C _o on the delta-th gray scale balance plane;

When j ₃ =11, the color mixing samples can be respectively regulated and controlled by the change of j ₁,j₂: omega _oβα(j₁,j₂,j₃, delta) to achieve a change in chroma between primary color polyester colors C _β and C ₀ on the delta-th gray scale level gray scale balance plane, omega _oγβ(j₁,j₂,j₃, delta) to achieve a change in chroma between primary color polyester colors C _γ and C ₀ on the delta-th gray scale level gray scale balance plane; omega _oαγ(j₁,j₂,j₃, delta) to achieve a change in chroma between primary polyester colors C _α and C _o on the delta-th gray scale balance plane;

the color mixture sample ω_oβα(j₁,j₂,j₃,δ)、ω_oγβ(j₁,j₂,j₃,δ)、ω_oαγ(j₁,j₂,j₃,δ) can be regulated and controlled to realize the change of gray scale through the change of delta, and then the step D2 is carried out.

Step D2. according to ω _ο(δ)＝[ω_α(δ)+ω_β(δ)+ω_γ (δ) ]/3, updating formula (19) to formula (20) as follows

I.e. updating the quality ω_oβα(j₁,j₂,δ)、ω_oγβ(j₁,j₂,δ)、ω_oαγ(j₁,j₂,δ), of the three ternary dual coupling color mixing combinations on the gray level surfaces of each gray level, and then entering the step D3.

Step D3, obtaining the mass mixing ratio of the primary color polyesters corresponding to the dyes alpha, beta and gamma in the ternary dual-coupling mixed color combinations on the gray level surfaces of the gray levels according to the formula (20)The following are provided:

for ω _oβα(j₁,j₂, δ):

For ω _oγβ(j₁,j₂, δ):

For ω _oαγ(j₁,j₂, δ):

step D4 is then entered.

Step D4., according to the formulas (21), (22) and (23), the color value C(j₁,j₂,δ)＝[C_r(j₁,j₂,δ) C_g(j₁,j₂,δ) C_b(j₁,j₂,δ)]^T, of the color-mixed polyester on each gray-scale surface is obtained by combining the color values C_α(δ)(R_α(δ),G_α(δ),B_α(δ)),C_β(δ)(R_β(δ),G_β(δ),B_β(δ)),C_γ(δ)(R_γ(δ),G_γ(δ),B_γ(δ)), of the three primary color polyesters on each gray-scale surface, and then the process proceeds to step D5.

Step D5., according to formulas (21), (22) and (23), combining the dye concentration lambda _α(δ),λ_β(δ),λ_γ (delta) or the dye weight p _α(δ),p_β(δ),p_γ (delta) of the trichromatic polyester on each gray level surface to obtain the dye quality τ_α(j₁,j₂,δ)、τ_β(j₁,j₂,δ)、τ_γ(j₁,j₂,δ), respectively corresponding to the trichromatic dyes alpha, beta and gamma in each mixed color polyester on the gray level surface as shown in formula (26) or (27).

Let ：τ(j₁,j₂,δ)＝[τ_α(j₁,j₂,δ) τ_β(j₁,j₂,δ) τ_γ(j₁,j₂,δ)]^T, be:

And E, forming a full-color phase gridding color mixing model through three ternary dual coupling color mixing combinations on the gray level surfaces, forming a full-color domain gridding color solid through the full-color phase gridding color mixing models on 17 gray level surfaces, further obtaining coordinates, mixing ratio, color value and dye counterweight of grid points in the full-color domain gridding color solid, and then entering the step F.

In practical applications, the above step E is specifically performed as follows steps E1 to E6.

Step E1, combining three ternary dual-coupling color mixing rectangular gridding models formed by four-primary color polyester on a gray level surface, realizing the splicing of the same rows among the models in a mode that the same rows among the models are reserved in the same grids at the head and the tail, wherein j ₁ represents the rows of the spliced models, ζ represents the columns of the spliced models, combining the models into a full-hue gridding color mixing model, regulating and controlling the change of all hues and chroma on the gray level surface through the change of j ₁ and ζ, and then entering step E2; ζ=1, 2, … …,30.

In practical application, 3 color gamut ranges on each gray level are integrated into a full-color-phase gridding color mixing model which is constructed by double coupling color mixing of three primary color polyester and comprises four primary colors of color alpha, beta, gamma, achromatic gray O and the like as shown in figure 3, and the model has 330 grid points in total and can regulate and control all hue and chroma changes on each gray level.

Step E2, combining full-color phase gridding color mixing models formed by 17 gray levels according to the delta value order to form a full-color domain gridding color solid, correlating the gray level value on each equal-height gray level with the concentration of the four-primary-color polyester dye and the polyester color value on the corresponding equal-height gray level, regulating the change of the hue, the chroma and the gray level of the color mixing polyester in the full-color domain through the change of j ₁, zeta and delta as shown in fig. 4, and then entering step E3.

Step E3. forms grid point coordinates P (j ₁, ζ, δ) based on the j ₁, ζ, and δ values corresponding to different grid points in the full-gamut gridding color gamut, and then the grid point coordinate matrix composed of all grid points in the color gamut is shown as formula (28), and step E4 is advanced.

Step E4., calculating the mixing ratio of the three-primary-color polyester corresponding to each grid point through (29), (30) and (31) based on the values of j ₁, ζ and delta corresponding to different grid points in the color spaceStep E5 is then entered.

Step E5. is based on the blend ratio of the three primary color polyesters corresponding to the grid pointsThe color value C_α(δ)(R_α(δ),G_α(δ),B_α(δ)),C_β(δ)(R_β(δ),G_β(δ),B_β(δ)),C_γ(δ)(R_γ(δ),G_γ(δ),B_γ(δ)), of the three primary color polyester on the gray level where the grid point is located obtains the color value C (j ₁, ζ, δ) of the color mixed polyester corresponding to the grid point by the formula (32), and then proceeds to step E6.

Step E6. is based on the blend ratio of the three primary color polyesters corresponding to the grid pointsThe dye concentration lambda _α(δ),λ_β(δ),λ_γ (delta) or the dye weight p _α(δ),p_β(δ),p_γ (delta) of the trichromatic polyester on the gray level where the grid points are located can obtain the trichromatic dye quality in the color-mixed polyester corresponding to the grid points through the formula (34) or (34) τ_α(j₁,j₂,δ)、τ_β(j₁,j₂,δ)、τ_γ(j₁,j₂,δ).

：τ(j₁,ζ,δ)＝[τ_α(j₁,ζ,δ) τ_β(j₁,ζ,δ) τ_γ(j₁,ζ,δ)]^T, Is provided with

And F, constructing a cylindrical full-color-domain gridding color-solid according to a mode of twisting the full-color-domain gridding color-solid into concentric circles on a gray-level surface, and constructing an equal-height gray-level surface visual chromatograph, an equal-radius chroma surface visual chromatograph and an equal-angle chroma surface visual chromatograph of the full-color-domain gridding color-solid according to three-dimensional polar coordinates of grid points as shown in figure 5.

In practical applications, the above step F is specifically performed as follows steps F1 to F4.

And F1, constructing a full-color domain gridding color stereoscopic body based on four primary color ternary dual coupling color mixing, constructing a cylindrical full-color domain gridding color stereoscopic body in a mode of twisting lines on a gray level surface into concentric circles, converting grid point coordinates P (j ₁, ζ, delta) in the cylindrical full-color domain gridding color stereoscopic body into three-dimensional polar coordinates P (j ₁,ζ,δ)＝[θ(j₁,ζ,δ) ρ(j₁,ζ,δ) z(j₁, ζ, delta), obtaining polar angles theta (j ₁, ζ, delta), polar radii rho (j ₁, ζ, delta) and heights z (j ₁, ζ, delta) through a formula (35), and then entering a step F2.

The grid point coordinates can be expressed as:

P(j₁,ζ,δ)＝[θ(j₁,ζ,δ) ρ(j₁,ζ,δ) z(j₁,ζ,δ)]＝[(ζ-1)×120°/10 (11-j₁)/10 δ] (36)

In the columnar gridding color solid, a plane formed by grid points with equal height coordinates z (j ₁, ζ, δ) is called an equal-height gray level plane, and can be divided into 17 equal-height gray level planes according to different height coordinates. Each of the equal-height gray-scale surfaces is divided into 10 equal parts in the radial direction and 30 equal parts in the circumferential direction, and includes a total of 310 grid points.

Step F2. constructs a visual color spectrum of the equal-height gray level surface based on the equal-height gray level surface formed by the grid points with equal height coordinates z (j ₁, ζ, δ).

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

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

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

according to the mixing ratio matrix The weight matrix [ tau (j ₁, ζ, delta) ] of the three primary colors polyester dye is obtained as follows:

And then proceeds to step F3.

In a cylindrical full-color-gamut gridded color volume, the direction of change in the polar radial coordinates ρ (j ₁, ζ, δ) is the change in color when there is a mixture of color and gray, i.e., the change in color chroma. When a plane formed by grid points with equal values of polar radial coordinates ρ (j ₁, ζ, δ) is called an equal-radius chroma plane, a cylindrical full-color gamut gridding color solid can be divided into 11 equal-radius chroma planes according to different values of polar radial coordinates ρ (j ₁, ζ, δ). On each equal-radius chrominance plane, 16 equal divisions are made in the height direction, and 30 equal divisions are made in the circumferential direction, and 510 grid points are included in total.

Step F3. constructs the visual color spectrum of the equal radius color plane based on the equal radius color plane formed by the grid points with equal polar radius coordinates ρ (j ₁, ζ, δ).

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

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

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

According to the mixing ratio matrixThe weight matrix [ tau (j ₁, ζ, delta) ] of the three primary colors polyester dye is obtained as follows:

and then proceeds to step F4.

In a cylindrical full-gamut gridded color volume, the direction of change in the polar coordinates θ (j ₁, ζ, δ) is the change in color when a plurality of chromatic colors are mixed, i.e., the change in color phase. The surface formed by grid points with equal values of the polar coordinates θ (j ₁, ζ, δ) is called an equiangular color phase surface, and the color volume can be divided into 30 equiangular color phase surfaces according to different values of the polar coordinates θ (j ₁, ζ, δ). On each equiangular color phase plane, 16 equally divided in the height direction and 10 equally divided in the radius direction are included, and a total of 187 grid points are included.

Step F4. constructs an equiangular phase surface visualization color spectrum based on the equiangular phase surfaces formed by the grid points with equal polar angular coordinates θ (j ₁, ζ, δ).

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

The color space and full-color domain digitizing method of the four-primary color polyester gridding compounding construction designed by the invention is applied to practice, and based on the invention point 1, the specific construction process is as follows:

Preferably, three primary dyes alpha, beta and gamma having a hue difference of 120 DEG are used to prepare a polyester system having a weight of 500g of omega _α,ω_β,ω_γ by using a dye weight p _α,p_β,p_γ and a dye concentration (mass percentage concentration) lambda _α,λ_β,λ_γ, respectively, and the three polyester systems are mixed in a specific ratio And mixing to obtain a gray polyester system omega _ο and omega _ο＝(ω_α+ω_β+ω_γ)/3, and constructing an omega _α,ω_β,ω_γ,ω_ο four-primary-color polyester color matching system based on the three-primary-color dye.

In a gray scale plane, the concentrations of the three primary dyes on the plane were set to be λ _α(δ)＝0.072％,λ_β(δ)＝0.036％,λ_γ (δ) =0.144, the weights of the dyes were set to be p _α(δ)＝0.36g,p_β(δ)＝0.18g,p_γ (δ) =0.72 g, and the color values of the polyester system were measured by a color meter as shown in table 5.

TABLE 5

The mixing ratios of the three primary polyester systems in the full-color gamut color mixture subsamples were calculated according to the mixing ratio construction procedure and the mixing ratios are shown in table 6.

The color values of the mixed subsamples on the concentration surface were obtained according to formula (49) and are shown in table 7.

The color spectrum of the full color phase color mixture model on this concentration plane is shown in fig. 6.

The weights of all the mixed subsamples on the gray level were determined according to equation (50) and are shown in table 8.

TABLE 6

TABLE 7

TABLE 8

In the second embodiment, based on the invention point 5, the process method for preparing 5117 series color polyesters based on 51 primary color polyesters of 17 gray surfaces is disclosed, and the process method for constructing the full-color-gamut color three-dimensional based on 51 primary color polyesters of 17 gray surfaces is specifically disclosed as follows: preferably, three primary dyes alpha, beta and gamma having a hue difference of 120 DEG are used to prepare a polyester system having a weight of 500g of omega _α,ω_β,ω_γ by using a dye weight p _α,p_β,p_γ and a dye concentration (mass percentage concentration) lambda _α,λ_β,λ_γ, respectively, and the three polyester systems are mixed in a specific ratioAnd mixing to obtain a gray polyester system omega _ο and omega _ο＝(ω_α+ω_β+ω_γ)/3, and constructing an omega _α,ω_β,ω_γ,ω_ο four-primary-color polyester color matching system based on the three-primary-color dye. The four-primary color matching system comprises 17 gray levels, 301 grid points on each gray level are obtained by mixing three-primary color polyester on the gray level, and 5117 series color polyester can be prepared. /(I)

According to the dye concentrations of the three primary color polyester on 17 gray levels in table 4, 51 primary color polyesters on 17 gray levels were prepared, and then grid points on each gray level were mixed from the three primary color polyesters on that level according to a mixing ratio.

For example, to construct a chromatogram of the D ₅ gray scale, it is assumed that the weight of the primary color polyester produced is 500g, i.e., ω _α(5)＝ω_β(5)＝ω_γ (5) =500 g, and the color values are C _α(111,206,238),C_β(223,167,205),C_γ (248,225,154) according to the three primary color densities in table 4, respectively, λ _α(5)＝0.00403％,λ_β(5)＝0.00805％,λ_γ (5) = 0.00805. The mixture ratio of the grid points on the gray level surface is shown in table 6, and the weight W _α,W_β,W_γ of the trichromatic polyester of each grid point is shown in table 9, and the color value of the grid point on the D ₅ gray level surface can be expressed by the following formula:

TABLE 9

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In the third embodiment, the color value of a certain polyester is known, the proportion of the three primary color polyester is obtained, and based on the invention point 6, the method for obtaining the proportion of the three primary color polyester based on the color value of a sample is invented, and the specific process is as follows:

Assuming that a color value of a certain sample is C (C _R,C_G,C_B), the color is located in the color space by a search method, and a search flow is shown in fig. 7.

In the color space, a cylindrical coordinate system is used, and three coordinate axes reflect the changes of brightness, hue and chroma, so that the color value of a grid point in the color space is converted into an HSL system C (j ₁,ζ,δ)＝[H(j₁,ζ,δ) S(j₁,ζ,δ) D(j₁,ζ,δ)]^T, and the color value of a sample is converted into an HSL color value C (H, S, D). When the search positioning is performed, firstly, two adjacent equal-color phase surfaces are found according to the H value, then, two adjacent equal-chroma lines are found according to the S value, finally, two adjacent gray-level surfaces are found according to the D value, and 8 adjacent grid points are positioned according to the search, and the position schematic diagram is shown in fig. 8, and the search process can be expressed by the following formula:

based on equation (38), the sample color C (H, S, L) retrieves the positioning procedure in the color volume, and the 8 grid point color values around the color C (H, S, L) are respectively:

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

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

When eta ₁ is more than or equal to 0.5, take

Setting:

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

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

Setting:

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

When eta ₃ is more than or equal to 0.5, take

And determining coordinates of grid points closest to the color C (H, S and L) of the sample according to the value of eta ₁,η₂,η₃, and mixing the sample by adopting the three primary color polyester counterweight of the grid points.

In the fourth embodiment, the specific construction process of the middle gray level surface chromatogram and the dye formulation based on the invention point 2 is as follows: preferably, the three primary dyes α, β, γ having hues different from 120 ° are each a polyester system having a weight of 500g of ω _α,ω_β,ω_γ, which is prepared by the dye weight p _α,p_β,p_γ and the dye concentration (mass percentage concentration) λ _α,λ_β,λ_γ. The dye concentration lambda _α,λ_β,λ_γ is regulated to lead the three polyester systems to be mixed in a specific proportionThe mixing gives a grey polyester system omega _ο and omega _ο＝(ω_α+ω_β+ω_γ)/3. On the basis, the dye concentration is regulated in equal proportion, so that the color value of the mixed gray polyester system omega _ο is 128,128,128, and the dye concentration at the moment is the trichromatic dye concentration of the medium concentration surface.

The color values of the three primary color polyester system were measured by a colorimeter with the respective concentrations of the three primary color dyes on the mid-gray level surface being λ _α＝0.02629％,λ_β＝0.05258％,λ_γ = 0.05258% and the respective weights of the corresponding dyes being p _α＝0.13145g,p_β＝0.2629g,p_γ = 0.2629g, as shown in table 10.

Table 10

The mixing ratios of the mixed subsamples in the full-color range are shown in table 6, and the color values of the mixed subsamples on the concentration plane can be obtained from the following formula (57) as shown in table 11.

TABLE 11

The color spectrum of the full-color phase color mixture model on this concentration plane is shown in fig. 9.

The dye weights for all mixed subsamples on the gray-scale surfaces can be determined according to the following equation (58) as shown in table 12.

Table 12

Embodiment five-preparation of color-mixed polyester system with different angles and color-mixed polyester with same radius and color on the middle gray level surface based on invention point 2, the specific preparation process of color-mixed polyester with different angles and color-mixed polyester with same radius and color-mixed polyester on the middle gray level surface is as follows: as shown in FIG. 10, the color mixture of the color mixture subsamples and the dye weights are shown in Table 13.

TABLE 13

In the sixth embodiment, the specific preparation process of the mixed-color polyester with different radius and color degrees based on the invention point 2, which is equal in hue and different in color degrees on the middle gray level, is as follows: as shown in FIG. 11, the color mixture polyester system having the equiangular hues and different radial hues was prepared by selecting the serialized colors having the equiangular hues and different radial hues on the middle gray scale surface, and the mixing ratio of the color mixture subsamples and the dye weights were shown in Table 14.

TABLE 14

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In the seventh embodiment, the preparation of the mixed color polyester system with the equal-radius chroma surface is based on the invention point 2 and the invention point 4, and the specific preparation process of the mixed color polyester with the equal-radius chroma surface is as follows: taking j ₁ =7 as an example, the preparation of the equal-radius chroma surface mixed color polyester system is carried out, and as shown in fig. 12, a mesh model of the equal-radius chroma surface is shown, the mixing ratio of mixed subsamples on the surface is shown in table 15, the color value is shown in table 16, and the dye weight is shown in table 17.

TABLE 15

Table 16

TABLE 17

In the eighth embodiment, the specific preparation process of the color-mixed polyester with different angles and different gray scales on the equal-radius color plane based on the invention point 2 and the invention point 4 is as follows:

As shown in FIG. 13, the color mixture polyester system having the same gradation and different angle hues was prepared by selecting the serialized colors on the equal-gradation surface, and the mixing ratio of the color mixture subsamples and the dye weights were as shown in Table 18.

TABLE 18

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In the ninth embodiment, the specific preparation process of the gray scale mixed color polyester system with different heights and the same angle hue on the equal radius color plane based on the invention point 2 and the invention point 4 is as follows: as shown in FIG. 14, the color mixture polyester system was prepared by selecting the same-angle hue and different-height gray scale of the serialized colors on the equal-radius chroma surface, and the mixing ratio of the color mixture subsamples and the dye weights were as shown in Table 19.

TABLE 19

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Example ten-preparation of equiangular phase surface color-blended polyester system based on invention point 2 and invention point 4, the specific preparation process of the color-blended polyester on the equiangular phase surface is as follows: taking ζ=9 (hue angle 96 °) as an example, the preparation of equiangular color-phase surface mixed-color polyester systems was performed. Fig. 15 shows a gridding model of an equiangular color phase surface on which subsamples were mixed as shown in table 20, color values as shown in table 21, and dye weights as shown in table 22.

Table 20

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Table 21

Table 22

In an eleventh embodiment, the preparation of the color-mixed polyester system with different gray scales and different radius on the equal-angle color-phase surface is based on the invention point 2 and the invention point 4, and the specific preparation process of the color-mixed polyester with different gray scales and different radius on the equal-angle color-phase surface is as follows:

As shown in fig. 16, the color mixture polyester system with different radial chroma with the same height gray scale was prepared by selecting the serialized colors with different radial chroma with the same height gray scale on the angle equal color phase surface, and the mixing ratio of the color mixture subsamples and the dye balance weight are shown in table 23.

Table 23

In the twelfth embodiment, the preparation of the gray color-mixed polyester system with different heights and same radius chroma on the equal angle color-phase surface is based on the invention point 2 and the invention point 4, and the specific preparation process of the gray color-mixed polyester with different heights and same radius chroma on the equal angle color-phase surface is as follows:

As shown in FIG. 17, the color mixture polyester system with different grayscales of the same radius and different grayscales of the same radius was prepared by selecting the serialized colors of the grayscales of the same radius and different grayscales on the same angle color phase surface, and the mixing ratio of the color mixture subsamples and the dye weights are shown in Table 24.

Table 24

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The designed four-primary-color polyester gridding compound constructed color solid and full-color domain digitizing method thereof firstly constructs a four-primary-color polyester (master batch) gridding compound system based on three-primary-color gray balance; then based on a four-primary color mixing system of three-primary color polyester (master batch) with different gray scales, the full-color domain color stereoscopic body is constructed; then, based on the full-color domain color space of the three-primary-color polyester (master batch), regulating and controlling the gray level, hue and chroma of the mixed-color polyester (master batch) in the full-color domain range; then constructing a full-color-gamut color-stereoscopic visual color spectrum based on the equal-height gray level surface, the equal-angle color phase surface and the equal-radius color level surface; and then based on 51 primary color polyesters on 17 gray levels, a full-color gamut color stereoscopic is constructed; finally, based on the color value of the sample, obtaining the ratio of the three primary color polyesters; the whole design method can provide big data to carry out color innovation and color prediction, has stable working quality, and realizes the intellectualization of color design and application.

The embodiments of the present invention have been described in detail with reference to the drawings, but the present invention is not limited to the above embodiments, and various changes can be made within the knowledge of those skilled in the art without departing from the spirit of the present invention.

Claims

1. The color space constructed by four-primary-color polyester gridding compounding and full-color domain digitizing method thereof are characterized by comprising the following steps:

Dividing 17 gray levels at equal intervals from light to dark on the basis of gray polyester gray values to obtain gray values corresponding to the 17 gray levels respectively, obtaining gray polyester dye concentrations lambda _o (delta) corresponding to the 17 gray levels from low concentration to high concentration and a color value C _o (delta) thereof through a preset test, further obtaining three primary polyester dye concentrations lambda _α(δ)、λ_β(δ)、λ_γ (delta) corresponding to the 17 gray levels respectively and a color value C _α(δ)、C_β(δ)、C_γ (delta) thereof, and then entering a step D; delta represents gray scale;

2. The color solid constructed by gridding and compounding four-primary-color polyester and a full-color domain digitizing method thereof are characterized in that: the step B comprises the following steps B1 to B6;

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

j₃+j₂＝12 (3)

The three-way double coupling color mixing mode of selecting 2 primary color polyesters from four primary color polyesters and 1 gray polyester is reflected, and the change of the hue and the chroma of the color mixing polyester is further regulated and controlled through the coupling change of the parameter j ₂ related to the hue and the parameter j ₁ related to the chroma;

Updating quality ω_oβα(j₁,j₂)、ω_oγβ(j₁,j₂)、ω_oαγ(j₁,j₂), of three ternary dual coupling color mixing combinations on the gray level surface, and then entering a step B4;

step B4. according to formula (5), obtaining the mass mixing ratio of the polyester omega _α,ω_β,ω_γ with three primary colors corresponding to the dye alpha, the dye beta and the dye gamma respectively in the three ternary dual-coupling mixed color combinations on the gray level The following are provided:

For ω _oβα(j₁,j₂):

For ω _oγβ(j₁,j₂):

For ω _oαγ(j₁,j₂):

Then enter step B5;

step B5., according to formulas (6), (7) and (8), combining the color values C_α(R_α,G_α,B_α)、C_β(R_β,G_β,B_β)、C_γ(R_γ,G_γ,B_γ), of the three primary color polyesters omega _α,ω_β,ω_γ on the gray level surface to obtain a color value C(j₁,j₂)＝[C_r(j₁,j₂) C_g(j₁,j₂) C_b(j₁,j₂)]^T of the mixed color polyester on the gray level surface as shown in formula (10), and then entering step B6;

Step B6., according to formulas (6), (7) and (8), combining dye concentration lambda _α,λ_β,λ_γ or dye weight p _α,p_β,p_γ of trichromatic polyester omega _α,ω_β,ω_γ on the gray level surface to obtain dye quality τ_α(j₁,j₂),τ_β(j₁,j₂),τ_γ(j₁,j₂), respectively corresponding to trichromatic dyes alpha, beta and gamma in each mixed-color polyester on the gray level surface, wherein the dye quality τ_α(j₁,j₂),τ_β(j₁,j₂),τ_γ(j₁,j₂), is shown as formula (11) or (12);

3. The color solid constructed by gridding and compounding four-primary-color polyester and a full-color domain digitizing method thereof are characterized in that: the step C comprises the following steps C1 to C3;

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

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

Step C2., based on a fitted function relation between gray polyester gray values and dye concentrations obtained in advance, obtaining mixed dye concentrations lambda _o (delta) corresponding to gray polyester on gray level surfaces respectively, and then entering step C3; wherein, lambda _o (delta) represents the concentration of the mixed dye corresponding to the gray polyester on the delta gray level;

Step C3., obtaining dye concentrations lambda _α(δ)、λ_β(δ)、λ_γ (delta) corresponding to the three primary colors of dye alpha, dye beta and dye gamma on each gray level according to the gray polyester dye concentration lambda _o (delta) on each gray level, and then entering step C4;

4. The color gamut digitizing method of four-primary color polyester gridding compounding construction according to claim 3, relating polyester gray value to polyester dye concentration and color value thereof, characterized in that: in the step C2, if the polyester gray value is taken as an independent variable x and the dye concentration is taken as an independent variable y, the function relationship of the fitted curve between the pre-obtained polyester gray value and the corresponding dye concentration is as follows:

y＝a(1-b^x)

Wherein a= -0.00119, b = 1.07529;

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

5. The color space and full color domain digitizing method of four primary color polyester gridding compound construction according to claim 3, relating the gray value on each equal-height gray level surface with the concentration of the four primary color polyester dye and the color value of the polyester on the corresponding equal-height gray level surface, characterized in that: in the step C3, epsilon ₁＝λ_β(δ)/λ_α(δ)、ε₂＝λ_γ(δ)/λ_α (delta) is set according to the mixed dye concentrations lambda _o (delta) corresponding to the gray polyester in each gray level surface, and the following formulas (16), (17) and (18) are adopted;

and combining the preset value of epsilon ₁、ε₂ to obtain the concentration lambda _α(δ)、λ_β(δ)、λ_γ (delta) corresponding to the dye alpha, the dye beta and the dye gamma on each gray level gray balance surface.

6. The color solid constructed by gridding and compounding four-primary-color polyester and a full-color domain digitizing method thereof are characterized in that: the step D comprises the steps D1 to D4;

wherein j ₁,j₂,j₃＝1,2,3,…,10,11,δ＝1,2,...,16,17,ω_α (δ) represents the mass of the primary color polyester having a mass ω at the delta-th gray level, ω _β (δ) represents the mass of the primary color polyester having a mass ω at the delta-th gray level, ω _γ (δ) represents the mass of the primary color polyester having a mass ω at the delta-th gray level, and ω _ο (δ) represents the mass of the gray polyester having a mass ω at the delta-th gray level.

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

The change of gray scale is realized by the whole adjustable color mixing sample ω_oβα(j₁,j₂,j₃,δ)、ω_oγβ(j₁,j₂,j₃,δ)、ω_oαγ(j₁,j₂,j₃,δ) through the change of delta, and then the step D2 is carried out;

Updating quality ω_oβα(j₁,j₂,δ)、ω_oγβ(j₁,j₂,δ)、ω_oαγ(j₁,j₂,δ), of three ternary dual coupling mixed color combinations on each gray level surface, and then entering a step D3;

Step D3, obtaining the mass mixing ratio of the primary color polyesters corresponding to the dyes alpha, beta and gamma in the ternary dual-coupling mixed color combinations on the gray level surfaces of the gray levels according to the formula (20) The following are provided:

for ω _oβα(j₁,j₂, δ):

For ω _oγβ(j₁,j₂, δ):

For ω _oαγ(j₁,j₂, δ):

Then enter step D4;

Step D4., according to formulas (21), (22) and (23), combining the color values C_α(δ)(R_α(δ),G_α(δ),B_α(δ)),C_β(δ)(R_β(δ),G_β(δ),B_β(δ)),C_γ(δ)(R_γ(δ),G_γ(δ),B_γ(δ)), of the three primary color polyesters on each gray level surface to obtain a color value C(j₁,j₂,δ)＝[C_r(j₁,j₂,δ) C_g(j₁,j₂,δ) C_b(j₁,j₂,δ)]^T, of the mixed color polyester on each gray level surface as shown in the following formula (25), and then, proceeding to step D5;

Step D5., according to formulas (21), (22) and (23), combining the dye concentration lambda _α(δ),λ_β(δ),λ_γ (delta) or the dye weight p _α(δ),p_β(δ),p_γ (delta) of the trichromatic polyester on each gray level surface to obtain the dye quality τ_α(j₁,j₂,δ)、τ_β(j₁,j₂,δ)、τ_γ(j₁,j₂,δ), respectively corresponding to trichromatic dyes alpha, beta and gamma in each mixed color polyester on the gray level surface as shown in formulas (26) or (27);

7. The color solid constructed by gridding and compounding four-primary-color polyester and a full-color domain digitizing method thereof are characterized in that: the step E comprises the following steps E1 to E6;

Step E1, combining three ternary dual-coupling color mixing rectangular gridding models formed by four-primary color polyester on a gray level surface, realizing the splicing of the same rows among the models in a mode that the same rows among the models are reserved in the same grids at the head and the tail, wherein j ₁ represents the rows of the spliced models, ζ represents the columns of the spliced models, combining the models into a full-hue gridding color mixing model, regulating and controlling the change of all hues and chroma on the gray level surface through the change of j ₁ and ζ, and then entering step E2; ζ=1, 2, … …,30;

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

Step E3. forms grid point coordinates P (j ₁, ζ, δ) based on j ₁, ζ and δ values corresponding to different grid points in the full-color-domain gridding color gamut, then a grid point coordinate matrix composed of all grid points in the color gamut is shown as formula (28), and then step E4 is advanced;

Step E4., calculating the mixing ratio of the three-primary-color polyester corresponding to each grid point through (29), (30) and (31) based on the values of j ₁, ζ and delta corresponding to different grid points in the color space Then enter step E5;

step E5. is based on the blend ratio of the three primary color polyesters corresponding to the grid points Color values C_α(δ)(R_α(δ),G_α(δ),B_α(δ)),C_β(δ)(R_β(δ),G_β(δ),B_β(δ)),C_γ(δ)(R_γ(δ),G_γ(δ),B_γ(δ)), of the three primary color polyester on the gray level where the grid points are located obtain color values C (j ₁, ζ, delta) of the color-mixed polyester corresponding to the grid points through a formula (32), and then enter a step E6;

step E6. is based on the blend ratio of the three primary color polyesters corresponding to the grid points The dye concentration lambda _α(δ),λ_β(δ),λ_γ (delta) or the dye weight p _α(δ),p_β(δ),p_γ (delta) of the trichromatic polyester on the gray level where the grid points are located can obtain the trichromatic dye quality in the color-mixed polyester corresponding to the grid points through the formula (34) or (34) τ_α(j₁,j₂,δ)、τ_β(j₁,j₂,δ)、τ_γ(j₁,j₂,δ);

8. The color solid constructed by gridding and compounding four-primary-color polyester and a full-color domain digitizing method thereof are characterized in that: the step F comprises the following steps F1 to F4;

F1, constructing a full-color domain gridding color stereoscopic body based on four primary color ternary dual coupling color mixing, constructing a cylindrical full-color domain gridding color stereoscopic body in a mode of twisting rows on a gray level surface into concentric circles, converting grid point coordinates P (j ₁, ζ, delta) in the cylindrical full-color domain gridding color stereoscopic body into three-dimensional polar coordinates P (j ₁,ζ,δ)＝[θ(j₁,ζ,δ) ρ(j₁,ζ,δ) z(j₁, ζ, delta), obtaining polar angles theta (j ₁, ζ, delta), polar radii rho (j ₁, ζ, delta) and heights z (j ₁, ζ, delta) through a formula (35), and then entering a step F2;

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

Then enter step F3;

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

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

Then enter step F4;

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

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