CN114820848A - Seven-primary-color fiber full-color-gamut color mixing mode and annular gridding color matching model construction and color yarn spinning method - Google Patents

Seven-primary-color fiber full-color-gamut color mixing mode and annular gridding color matching model construction and color yarn spinning method Download PDF

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CN114820848A
CN114820848A CN202210409906.3A CN202210409906A CN114820848A CN 114820848 A CN114820848 A CN 114820848A CN 202210409906 A CN202210409906 A CN 202210409906A CN 114820848 A CN114820848 A CN 114820848A
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CN114820848B (en
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薛元
孙显强
朱文硕
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Jiangnan University
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Abstract

The invention relates to a seven-primary-color fiber full-color-gamut color mixing mode and a circular gridding color matching model construction, wherein firstly, six kinds of color fibers with the same mass and gray fibers form seven-primary-color fibers; then, a gridding discrete configuration mode is applied, and a pyramid gridding model of each ternary coupling color mixing quality is constructed aiming at the coupling color mixing of two color fibers and gray fibers under six ternary color mixing combinations; then, splicing the models in the same line to form a full-color domain gridding chromatogram corresponding to the seven primary colors; finally, a full-color domain gridding annular color model corresponding to the seven primary colors is constructed in a manner of twisting into concentric circles; and a color yarn spinning method is further designed, based on a three-channel color-mixing numerical control spinning system, digital spinning is carried out on three color fibers under each ternary color-mixing combination according to a full-color-domain gridding annular color model corresponding to the seven primary colors, spinning of the full-color-domain color yarns corresponding to the seven primary colors is realized, digital spinning can be efficiently realized, and spinning color precision is improved.

Description

Seven-primary-color fiber full-color-gamut color mixing mode and annular gridding color matching model construction and color yarn spinning method
Technical Field
The invention relates to a seven-primary-color fiber full-color-gamut color mixing mode and an annular gridding color matching model construction and a color yarn spinning method, belonging to the technical field of spinning.
Background
In the existing spinning process, fibers of different colors are preferably selected from dyed fibers, dope dyed fibers or natural colored fibers as primary color fibers, and colored spun yarns or colored yarns are spun by means of manual mixing, mosaic mixing, cotton bale mixing, drawing mixing, roving mixing, spun yarn mixing and the like.
The color matching design of colored fibers and the color innovation of yarns are one of key technologies in the production process of colored spun yarns, and a three-primary-color matching method or a main color and auxiliary color matching method is usually adopted. The existing colored spinning production flow has the problems that: firstly, fiber dyeing and color matching and colored yarn spinning are disjointed mutually; secondly, point-to-point fragmentization manual color matching and matching are mainly carried out; thirdly, the color restoration based on the three-primary color matching is not rich enough; and fourthly, a theory and a method for uniformly regulating and controlling hue, lightness and chroma are lacked. Because the traditional color matching depends on the experience of operators to grasp the hue, lightness and chroma of colors, the color matching result is greatly influenced by the subjective of people, and the traditional color matching has the current situations of weak color matching accuracy, low color matching efficiency, long color matching period and the like.
Because the color is a vector consisting of three dimensions of hue, lightness and chroma, in order to meet the richness of color reduction and the requirements of multilayer color lightness and chroma, a seven-primary-color matching method of six primary colors and one gray primary color needs to be developed; in order to improve the color matching accuracy, an algorithm-based computer automatic color matching technology needs to be developed.
Disclosure of Invention
The technical problem to be solved by the invention is to provide a full-color-gamut color mixing mode of seven-primary-color fibers and a circular gridding color matching model construction, wherein six kinds of color fibers and one kind of gray fibers are used as primary-color fibers, a gridding discrete configuration mode is applied, and a full-color-gamut gridding circular color model is constructed and obtained aiming at the ternary coupling color mixing of two kinds of color fibers and one kind of gray fibers, so that the color obtaining precision is effectively improved.
The invention adopts the following technical scheme for solving the technical problems: the invention designs a seven-primary-color fiber full-color-gamut color mixing mode and a circular gridding color matching model construction, which comprises the following steps:
step A, forming seven-primary-color fibers based on six kinds of color fibers which have the same quality and have 60-degree color difference and gray fibers with the same quality, and then entering step B;
b, based on a preset reference discrete number corresponding to the fiber quality, combining any two color fibers in the seven-primary-color fibers with gray fibers to form six ternary color mixing combinations, constructing a ternary coupling color mixing quality pyramid gridding model with gray top lattices corresponding to the ternary color mixing combinations and two colors corresponding to lattices at two ends of the bottom edge, and entering the step C;
c, aiming at the ternary coupling color mixing quality pyramid gridding model corresponding to each ternary color mixing combination, splicing the same lines among the models in a mode that one of the grids is reserved at the head and the tail of the same line among the models to form a full color domain gridding chromatogram corresponding to the seven primary colors, and then entering the step D;
and D, aiming at the full-color-gamut gridding color spectrum, constructing a full-color-gamut gridding annular color model corresponding to the seven primary colors in a manner of twisting into concentric circles.
The invention also aims to solve the technical problem of providing a colorful yarn spinning method constructed by a seven-primary color fiber full-color-gamut color mixing mode and an annular gridding color matching model, and based on a three-channel color mixing numerical control spinning system, aiming at six ternary color mixing combinations formed by seven-primary color fibers, digital spinning of ternary color mixing combination fibers is executed, spinning of corresponding full-color-gamut colorful yarns is realized, and high-precision spinning is obtained.
The invention adopts the following technical scheme for solving the technical problems: the invention designs a colorful yarn spinning method constructed by a seven-primary color fiber full-color gamut color mixing mode and an annular gridding color matching model, which is based on a three-channel color mixing numerical control spinning system, combines three rear rollers, a middle roller, a front roller and a ring collar plate to respectively correspond one by one based on a servo driver and is controlled by a servo motor, respectively aims at six ternary color mixing combinations formed by seven-primary color fibers alpha, beta, gamma, delta, epsilon, zeta and O according to the full-color gamut gridding annular color model corresponding to the seven primary colors, and respectively digitalizes three fibers corresponding to the ternary color mixing combinationsSpinning; wherein is based on j 1 1,2,3,4,. mu. m =6×(5-j 1 ),μ=1,2,……,μ m (ii) a And j 1 When equal to 5, mu is equal to mu m =1,j 2 1 is ═ 1; setting three fibers fed into a three-channel color-mixing numerical control spinning system as o, X and Z respectively;
when mu is 1 to mu m When the fiber is/6, feeding three fibers o, X and Z of the three-channel color-mixing numerical control spinning system into the three-channel color-mixing numerical control spinning system, wherein the three fibers o, X and Z are respectively o, beta and alpha;
when mu is mu m /6~2μ m When the fiber is/6, feeding three fibers o, X and Z of the three-channel color-mixing numerical control spinning system into the three-channel color-mixing numerical control spinning system, wherein the three fibers o, X and Z are o, gamma and beta respectively;
when mu is 2 mu m /6~3μ m When the fiber is/6, feeding three fibers o, X and Z of the three-channel color-mixing numerical control spinning system into the three-channel color-mixing numerical control spinning system, wherein the three fibers o, X and Z are respectively o, delta and gamma;
when mu is 3 mu m /6~4μ m When the fiber is/6, feeding three fibers o, X and Z of the three-channel color-mixing numerical control spinning system into the three-channel color-mixing numerical control spinning system, wherein the three fibers o, X and Z are respectively o, epsilon and delta;
when mu is 4 mu m /6~5μ m When the fiber is/6, feeding three fibers o, X and Z of the three-channel color-mixing numerical control spinning system into the three-channel color-mixing numerical control spinning system, wherein the three fibers o, X and Z are respectively o, zeta and epsilon;
when mu is 5 mu m /6~μ m Feeding three fibers o, X and Z of a three-channel color-mixing numerical control spinning system into the system to be respectively o, zeta and alpha;
based on the linear velocity V of the front roller of the drafting channel q (j 1 Mu), linear velocity V of three back rollers ho (j 1 ,μ),V hX (j 1 ,μ),V hZ (j 1 μ), draw ratio of three channels E o (j 1 ,μ),E X (j 1 ,μ),E Z (j 1 Mu) of three fiber densities after drawing ρ' o (j 1 ,μ),ρ' X (j 1 ,μ),ρ' Z (j 1 Mu) the blend ratio of the individual fibers in the finished yarn is lambda o (j 1 ,μ),λ X (j 1 ,μ),λ Z (j 1 ,μ);
The three channel draw ratio is as follows:
Figure BDA0003603287270000021
let ρ be o =ρ X =ρ Z Then, the above equation is simplified as:
Figure BDA0003603287270000031
wherein, μ ═ 1,3,. ·,21, 24; j is a function of 1 =1,2,3,4,5;μ≥j 1
Three fibers o, X and Z corresponding to the ternary color mixture combination are respectively fed into the back roller based on three independent drives, and then the fibers are converged at the jaw of the front roller and enter a twisting mechanism for twisting to form the linear density rho of the three-channel color mixture yarn y Comprises the following steps:
Figure BDA0003603287270000032
and the three fibers obtained by asynchronous drafting are combined and twisted to form a yarn, and the blending ratio lambda of each fiber o, X and Z in the yarn o (j 1 ,μ),λ X (j 1 ,μ),λ Z (j 1 μ) is:
Figure BDA0003603287270000033
wherein λ is o (j 1 ,μ)+λ X (j 1 ,μ)+λ Z (j 1 ,μ)=1,μ=1,3,...,21,24;j 1 =1,2,3,4,5;μ≥j 1
The resultant yarn color C is determined by the color value of each fiber and the blending ratio thereof based on the resultant yarn color y (j 1 ,μ)=(C r ,C g ,C b ) T The following were used:
Figure BDA0003603287270000034
or:
Figure BDA0003603287270000035
then, based on the full-color-domain gridding annular color model corresponding to the seven primary colors, the full-color-domain color matrix obtained by digital spinning is as follows:
Figure BDA0003603287270000036
compared with the prior art, the method for constructing the seven-primary-color fiber full-color-gamut color mixing mode and the annular gridding color matching model and spinning the color yarns has the following technical effects by adopting the technical scheme:
the invention designs a full color gamut color mixing mode of seven-primary-color fibers and a circular gridding color matching model, wherein the seven-primary-color fibers are formed by six kinds of color fibers with the same mass and gray fibers; then, constructing pyramid gridding models of the quality of each ternary coupling color mixing by applying a gridding discrete configuration mode and aiming at the coupling color mixing of every two color fibers and gray fibers under six ternary color mixing combinations; then, splicing the models in the same line to form a full-color domain gridding chromatogram corresponding to the seven primary colors; finally, a full-color domain gridding annular color model corresponding to the seven primary colors is constructed in a manner of twisting into concentric circles; and a color yarn spinning method is further designed, based on a three-channel color-mixing numerical control spinning system, digital spinning is carried out on three color fibers under each ternary color-mixing combination according to a full-color-domain gridding annular color model corresponding to the seven primary colors, spinning of the full-color-domain color yarns corresponding to the seven primary colors is realized, digital spinning can be efficiently realized, and spinning color precision is improved.
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FIG. 1 is a schematic view of pyramid gridding of ternary coupling color mixing quality corresponding to each ternary color mixing combination in the design of the present invention;
FIG. 2 is a schematic pyramid grid showing the ternary coupling color mixing quality corresponding to each ternary color mixing combination in the embodiment of the present invention;
FIG. 3 is a schematic diagram of a full-color domain gridding chromatogram corresponding to seven primary colors in the design of the present invention;
FIG. 4 is a schematic diagram of a full-color-domain gridding chromatogram corresponding to seven primary colors in an embodiment of the present invention;
FIG. 5 is a schematic diagram of a full-color-domain gridding annular color model corresponding to seven primary colors in the design of the present invention;
FIG. 6 is a schematic diagram of a full-color-domain gridding annular color model corresponding to seven primary colors in an embodiment of the present invention;
FIG. 7 is a schematic diagram of a full-color-domain gridding chromatogram corresponding to seven primary colors in example 1 of the present invention;
FIG. 8 is a schematic diagram of a full-color-domain gridding annular color model corresponding to seven primary colors in embodiment 1 of the present invention;
FIG. 9 is a schematic representation of a color yarn set of a constant hue and a varying hue in example 1 of the present invention;
FIG. 10 is a serialized colored yarn with constant hue change in example 3 of the invention;
fig. 11 is a set of color yarns with hue and chroma changes according to example 4 of the present invention.
Detailed Description
The following description will explain embodiments of the present invention in further detail with reference to the accompanying drawings.
The invention designs a full-color domain gridding chromatography construction method based on seven-primary-color fiber color-mixed spinning, which is applied to the practical application that in the processes of color matching, color mixing and dyeing of textiles, color regulation and control are required to be carried out from three dimensions of hue, lightness and saturation, generally two groups of adjacent colors are utilized to carry out color mixing to regulate and control hue change, one group of colors and one group of achromatic color mixing are utilized to regulate and control lightness change, and more than two groups of adjacent colors and more than one group of achromatic color mixing are utilized to regulate and control color degree change. In order to obtain rich hue, brightness and chroma regulation and control ranges, the invention designs and selects six kinds of colored fibers (the hue difference is controlled to be about 60 degrees) and selects one kind of achromatic fiber (white, gray and black) as the basic fiber for color mixing.
Step A, forming seven-primary-color fibers based on six color fibers which are equal in quality and have 60-degree color difference and gray fibers which are equal in quality, and then entering step B.
In practical application, dyes (reactive dyes, acid dyes, disperse dyes and other suitable dyes) are preferably selected, six groups of color dyes with high color ratio, pure color and color difference of about 60 degrees are optimized, for example, magenta, cyan, yellow, red, green, blue and gray dyes are subjected to opening, impurity removal, uniform mixing, refining and bleaching, natural fibers or chemical fibers are subjected to dyeing, the optimized dyeing process respectively obtains six groups of color fibers alpha, beta, gamma, delta, epsilon, zeta with highest color purity and a group of gray (achromatic) sample fibers O as primary color fibers for color mixing, and the seven groups of primary color fibers are weighed to be W respectively α ,W β ,W γ ,W δ ,W ε ,W ζ ,W O
And B, based on the preset reference discrete number corresponding to the fiber quality, combining any two color fibers in the seven-primary-color fibers and the gray fibers to form six ternary color mixing combinations, constructing a ternary coupling color mixing quality pyramid gridding model with gray top lattices corresponding to the ternary color mixing combinations and two colors corresponding to lattices at two ends of the bottom edge, and entering the step C.
In application, the above step B specifically executes the following steps B1 to B4.
The seven primary color fibers are respectively subjected to discretization treatment to respectively obtain seven groups of fibers with the general formula as follows:
Figure BDA0003603287270000051
b1. quality W based on seven primary color fibers alpha, beta, gamma, delta, epsilon, zeta and O α 、W β 、W γ 、W δ 、W ε 、W ζ 、W o Combining with preset reference discrete number 4 corresponding to the fiber quality, and combining any two color fibers of seven-primary-color fibers with gray fibers to form six ternary color mixing groupsQuality W of six ternary mixed color combinations oβα (j 1 ,j 2 ,j 3 )、W oγβ (j 1 ,j 2 ,j 3 )、W oδγ (j 1 ,j 2 ,j 3 )、W oεδ (j 1 ,j 2 ,j 3 )、W oζε (j 1 ,j 2 ,j 3 )、W oαζ (j 1 ,j 2 ,j 3 ) Is as follows, wherein j 1 、j 2j 3 1,2,3,4, 5, and then proceeds to step B2.
Figure BDA0003603287270000052
Based on formula (2), when j 1 When 1, by j 2 ,j 3 The color mixture sample can be respectively regulated and controlled by the change of (2): w oβα (j 1 ,j 2 ,j 3 ) Implementation C α And C β A change in hue therebetween; w oγβ (j 1 ,j 2 ,j 3 ) Implementation C β And C γ A change in hue therebetween; w oδγ (j 1 ,j 2 ,j 3 ) Implementation C γ And C δ A change in hue therebetween; w oεδ (j 1 ,j 2 ,j 3 ) Implementation C δ And C ε A change in hue therebetween; w oζε (j 1 ,j 2 ,j 3 ) Implementation C ε And C ζ A change in hue therebetween; w oαζ (j 1 ,j 2 ,j 3 ) Implementation C ζ And C α Change in hue in between.
Based on formula (2), when j 2 When 1, by j 1 ,j 3 The color mixture sample can be respectively regulated and controlled by the change of (2): w oβα (j 1 ,j 2 ,j 3 ) Implementation C α And C 0 Lightness change between, W oγβ (j 1 ,j 2 ,j 3 ) Implementation C β And C 0 Brightness variations in between; w oδγ (j 1 ,j 2 ,j 3 ) Implementation C γ And C o Brightness variations in between; w oεδ (j 1 ,j 2 ,j 3 ) Implementation C δ And C 0 Lightness change between, W oζε (j 1 ,j 2 ,j 3 ) Implementation C ε And C 0 Brightness variations in between; w oαζ (j 1 ,j 2 ,j 3 ) Implementation C ζ And C o Brightness change in between.
Based on formula (2), when j 3 When 1, by j 1 ,j 2 The color mixture sample can be respectively regulated and controlled by the change of (2): w oβα (j 1 ,j 2 ,j 3 ) Implementation C β And C 0 Lightness change between, W oγβ (j 1 ,j 2 ,j 3 ) Implementation C γ And C 0 Brightness variations therebetween; w oδγ (j 1 ,j 2 ,j 3 ) Implementation C δ And C o Brightness variations in between; w oεδ (j 1 ,j 2 ,j 3 ) Implementation C ε And C 0 Lightness change between, W oζε (j 1 ,j 2 ,j 3 ) Implementation C ζ And C 0 Brightness variations in between; w oαζ (j 1 ,j 2 ,j 3 ) Implementation C α And C o Brightness change in between.
Based on formula (2) when j 1 ,j 2 ,j 3 1,2,3, …,10,11, W oβα (j 1 ,j 2 ,j 3 )、W oγβ (j 1 ,j 2 ,j 3 )、W oδγ (j 1 ,j 2 ,j 3 )、W oεδ (j 1 ,j 2 ,j 3 )、W oζε (j 1 ,j 2 ,j 3 )、W oαζ (j 1 ,j 2 ,j 3 ) Realization (C) α +C 0 )、(C β +C 0 )、(C γ +C 0 )、(C δ +C 0 )、(C ε +C 0 )、(C ζ +C 0 ) And (C) to α +C β ),(C β +C γ ),(C γ +C δ ),(C δ +C ε ),(C ε +C ζ ),(C ζ +C α ) And C o The chroma change in between.
According to the formula (2), the weight of the ternary combination mixed color various subsamples of the seven-primary-color fibers is related to the reference weight of the primary-color fibers, the reference discrete number and the discrete serial number. If the basic weight, the basic discrete number and the discrete serial number of the basic color fiber are not restricted in the color mixing process, the weight W of the mixed subsample oβα (j 1 ,j 2 ,j 3 ),W oγβ (j 1 ,j 2 ,j 3 ),W oδγ (j 1 ,j 2 ,j 3 ),W oεδ (j 1 ,j 2 ,j 3 ),W oζε (j 1 ,j 2 ,j 3 ),W oαζ (j 1 ,j 2 ,j 3 ) Is a non-constant variable. In order to analyze the influence of the color fiber mixing proportion on the final mixed color in the color mixing process, the weight of each mixed subsample needs to be constant, so that the influence of the three-primary-color fiber mixing ratio on the mixed color can be inspected in a single-factor mode. Therefore, constraint conditions for the reference weight, the reference discrete number and the discrete serial number of the base color fiber need to be established so as to ensure that the weight of each mixed subsample is kept constant in the color mixing process.
The definition of coupled color mixing for this purpose is as follows: when the discrete numbers of the primary color fibers meet specific constraint conditions, the weight of the multi-primary color fiber mixed color subsample can be kept constant and equal to the reference weight, the mixed ratio of the multi-primary color fibers is changed in a gradient manner within the range of 0-100%, and the mixed mode of the multi-primary color fibers meeting the conditions is defined as the coupled mixed color of the multi-primary color fibers.
B2, according to the quality W of the seven primary color fibers alpha, beta, gamma, delta, epsilon, zeta and O α 、W β 、W γ 、W δ 、W ε 、W ζ 、W o All equal to W, and six ternary mixturesQuality of color combination W oβα (j 1 ,j 2 ,j 3 )、W oγβ (j 1 ,j 2 ,j 3 )、W oδγ (j 1 ,j 2 ,j 3 )、W oεδ (j 1 ,j 2 ,j 3 )、W oζε (j 1 ,j 2 ,j 3 )、W oαζ (j 1 ,j 2 ,j 3 ) Are all equal to W, then j 3 =7-j 1 -j 2 Wherein j is 1 、j 2 =1、2、3、4、5,(j 1 +j 2 ) If the value is less than or equal to 6, the formula (2) is carried over for updating to obtain the following formula (4), and then the step B3 is carried out.
Figure BDA0003603287270000061
B3, combining the qualities W according to six ternary mixed colors oβα (j 1 ,j 2 ,j 3 )、W oγβ (j 1 ,j 2 ,j 3 )、W oδγ (j 1 ,j 2 ,j 3 )、W oεδ (j 1 ,j 2 ,j 3 )、W oζε (j 1 ,j 2 ,j 3 )、W oαζ (j 1 ,j 2 ,j 3 ) And (4) respectively aiming at each ternary color mixture combination, taking the top grid as gray, and the grids at the two ends of the bottom edge respectively corresponding to two colors, constructing a ternary coupling color mixing quality pyramid gridding model respectively corresponding to each ternary color mixture combination, as shown in fig. 1, and then entering the step B4.
In practical applications, if the color values of the fibers of the seven primary colors are M (255,0,0), Y (255, 0), G (0,255,0), C (0,255,255), B (0, 255), M (255,0,255), and E (128,128,128), the color mixing result is shown in fig. 2.
Step B4. obtains the mixing ratio lambda of the seven primary color fibers alpha, beta, gamma, delta, epsilon, zeta and O corresponding to each ternary mixed color combination α (j 1 ,j 2 )、λ β (j 1 ,j 2 )、λ γ (j 1 ,j 2 )、λ δ (j 1 ,j 2 )、λ ε (j 1 ,j 2 )、λ ζ (j 1 ,j 2 )、λ o (j 1 ,j 2 ) The following were used:
W oβα (j 1 ,j 2 ) The method comprises the following steps: lambda [ alpha ] o (j 1 ,j 2 )=(j 1 -1)/4,λ β (j 1 ,j 2 )=(j 2 -1)/4,λ α (j 1 ,j 2 )=(6-j 1 -j 2 )/4 (5)
W oγβ (j 1 ,j 2 ) The method comprises the following steps: lambda [ alpha ] o (j 1 ,j 2 )=(j 1 -1)/4,λ γ (j 1 ,j 2 )=(j 2 -1)/4,λ β (j 1 ,j 2 )=(6-j 1 -j 2 )/4 (6)
W oδγ (j 1 ,j 2 ) The method comprises the following steps: lambda [ alpha ] o (j 1 ,j 2 )=(j 1 -1)/4,λ δ (j 1 ,j 2 )=(j 2 -1)/4,λ γ (j 1 ,j 2 )=(6-j 1 -j 2 )/4 (7)
W oεδ (j 1 ,j 2 ) The method comprises the following steps: lambda [ alpha ] o (j 1 ,j 2 )=(j 1 -1)/4,λ ε (j 1 ,j 2 )=(j 2 -1)/4,λ δ (j 1 ,j 2 )=(6-j 1 -j 2 )/4 (8)
W oζε (j 1 ,j 2 ) The method comprises the following steps: lambda [ alpha ] o (j 1 ,j 2 )=(j 1 -1)/4,λ ζ (j 1 ,j 2 )=(j 2 -1)/4,λ ε (j 1 ,j 2 )=(6-j 1 -j 2 )/4 (9)
W oαζ (j 1 ,j 2 ) The method comprises the following steps: lambda [ alpha ] o (j 1 ,j 2 )=(j 1 -1)/4,λ α (j 1 ,j 2 )=(j 2 -1)/4,λ ζ (j 1 ,j 2 )=(6-j 1 -j 2 )/4 (10)。
Based on color science and its coloristic theory, color includes three dimensions of hue, lightness, chroma and the like. Color adjustment and control are usually performed in a full color gamut from three dimensions, such as hue, lightness, chroma, and the like. The full color gamut of the colors is determined by a color space defined by a hue angle varying from 0 to 360 degrees, lightness varying from 0 to 1 and chroma varying from 0 to 1. The panchromatic color gamut regulation and control refers to a color regulation and control method for realizing the change of a hue angle within a range of 0-360 degrees, the change of brightness within a range of 0-1 and the change of chroma within a range of 0-1 based on the regulation and control of the ratio of multiple primary colors.
The constructed coupling color mixing gridding model comprises 15 grid points, the mixing proportion of the seven-primary-color colored fibers alpha, beta, gamma, delta, epsilon, zeta and o can be changed by changing the coordinates of the grid points, and the change of the hue, the lightness and the chroma of the color can be regulated and controlled in six color gamut ranges of alpha-beta-0, beta-gamma-0, gamma-delta-0, delta-epsilon-0, epsilon-zeta-0, zeta-alpha-0 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.
Therefore, the six gridding submodels are spliced end to end corresponding to each row to obtain a full-color domain gridding color mixing model of seven primary colors, such as inclusion color hue alpha, beta, gamma, delta, epsilon, zeta, gray O and the like, which is constructed by seven primary color fibers, and the model has 61 grid points in total. The mixing proportion of the seven-primary-color fibers alpha, beta, gamma, delta, epsilon, zeta and o can be changed by changing the coordinates of the grid points, and the hue, brightness and chroma changes of the color can be uniformly regulated and controlled in the alpha-beta-gamma-delta-epsilon-zeta-o panchromatic domain range.
And C, aiming at the ternary coupling color mixing quality pyramid gridding model respectively corresponding to each ternary color mixing combination, realizing splicing of the same lines among the models in a mode that one of the grids is reserved at the head and the tail of the same line among the models, forming a full color domain gridding chromatogram corresponding to the seven primary colors, and then entering the step D.
In application, the step C specifically performs the following steps C1 to C5.
C1, according to the ternary coupling color mixing quality pyramid gridding model corresponding to each ternary color mixing combination, performing same line splicing between models in a mode that one grid is reserved at the head and the tail of the same line between the models, and using j to splice the same line between the models 1 Representing the row of the spliced model, mu representing the column of the spliced model, and the full-color-domain mixed sample quality T (j) corresponding to the three primary colors 1 Mu) and the seven primary color fibers alpha, beta, gamma, delta, epsilon, zeta, O correspond to the mixing ratio lambda in the panchromatic mixed sample, respectively α (j 1 ,μ)、λ β (j 1 ,μ)、λ γ (j 1 ,μ)、λ δ (j 1 ,μ)、λ ε (j 1 ,μ)、λ ζ (j 1 ,μ)、λ o (j 1 μ) as follows, and then proceeds to step C2.
When j is 1 =1,2,3,…,4,μ m =6×(5-j 1 ) The method comprises the following steps:
if μ ═ 1,2, …, (μ) m /6-1),(μ m /6),j 2 When μ, then:
T(j 1 ,μ)=W oβα (j 1 ,j 2 ),λ α (j 1 ,μ),λ β (j 1 ,μ),λ o (j 1 ,μ) (11)
if μ ═ μ (μ) m /6+1),(μ m /6+2),…,(2×μ m /6-1),(2×μ m /6),j 2 =μ-μ m And 6, then:
T(j 1 ,μ)=W oγβ (j 1 ,μ-μ m /6),λ o (j 1 ,μ-μ m /6),λ β (j 1 ,μ-μ m /6),λ γ (j 1 ,μ-μ m /6) (12)
if μ ═ 2 × μ m /6+1),(2×μ m /6+2),…,(3×μ m /6-1),(3×μ m /6),j 2 =μ-2×μ m And 6, then:
T(j 1 ,μ)=W oδγ (j 1 ,μ-2×μ m /6),λ o (j 1 ,μ-2×μ m /6),λ δ (j 1 ,μ-2×μ m /6),λ γ (j 1 ,μ-2×μ m /6) (13)
if μ ═ 3 × μ m /6+1),(3×μ m /6+2),…,(4×μ m /6-1),4×μ m /6,j 2 =μ-3×μ m And 6, then:
T(j 1 ,μ)=W oεδ (j 1 ,μ-3×μ m /6),λ o (j 1 ,μ-3×μ m /6),λ ε (j 1 ,μ-3×μ m /6),λ δ (j 1 ,μ-3×μ m /6) (14)
if μ ═ 4 × μ m /6+1),(4×μ m /6+2),…,(5×μ m /6-1),5×μ m /6,j 2 =μ-4×μ m And 6, then:
T(j 1 ,μ)=W oζε (j 1 ,μ-4×μ m /6),λ o (j 1 ,μ-4×μ m /6),λ ζ (j 1 ,μ-4×μ m /6),λ ε (j 1 ,μ-4×μ m /6) (15)
if μ ═ 5 × μ m /6+1),(5×μ m /6+2),…,(μ m -1),μ m ,j 2 =μ-5×μ m And 6, then:
T(j 1 ,μ)=W oαζ (j 1 ,μ-5×μ m /6),λ o (j 1 ,μ-5×μ m /6),λ α (j 1 ,μ-5×μ m /6),λ ζ (j 1 ,μ-5×μ m /6) (16)
when j is 1 When the value is 5, mu is 1, j 2 When 1, then:
T(j 1 ,μ)=W oβα (5,1),λ o (5,1),λ β (5,1)λ α (5,1) (17)
step C2. according to equations (11) to (17), the following is obtained:
T(j 1 ,μ)=W×[λ α (j 1 ,μ)λ β (j 1 ,μ)λ γ (j 1 ,μ)λ δ (j 1 ,μ)λ ε (j 1 ,μ)λ ξ (j 1 ,μ)λ o (j 1 ,μ)] (18)
and the above equation (18) is expanded as follows, and then the process proceeds to step C3.
Get j 1 When 1, mu m =24,μ=1,2,…,23,24;
When μ ═ 1,2,3, 4; j is a function of 2 =μ;T(j 1 ,μ)=W oβα (j 1 ,μ);λ o (j 1 ,μ),λ β (j 1 ,μ),λ α (j 1 ,μ);
When mu is 5,6,7, 8; j is a function of 2 =μ-4;T(j 1 ,μ)=W oγβ (j 1 ,μ-4);λ o (j 1 ,μ-4),λ γ (j 1 ,μ-4),λ β (j 1 ,μ-4);
When mu is 9,10,11, 12; j is a function of 2 =μ-8;T(j 1 ,μ)=W oδγ (j 1 ,μ-8);λ O (j 1 ,μ-8),λ δ (j 1 ,μ-8),λ γ (j 1 ,μ-8);
When mu is 13,14,15, 16; j is a function of 2 =μ-12;T(j 1 ,μ)=W oεδ (j 1 ,μ-12);λ o (j 1 ,μ-12),λ ε (j 1 ,μ-12),λ δ (j 1 ,μ-12);
When μ ═ 17,18,19, 20; j is a function of 2 =μ-16;T(j 1 ,μ)=W oζε (j 1 ,μ-16);λ o (j 1 ,μ-16),λ ζ (j 1 ,μ-16),λ ε (j 1 ,μ-16);
When mu is 21,22,23, 24; j is a function of 2 =μ-20;T(j 1 ,μ)=W oαζ (j 1 ,μ-20);λ o (j 1 ,μ-20),λ α (j 1 ,μ-20),λ ζ (j 1 ,μ-20);
Get j 1 When 2, mu m =18,μ=1,2,…,17,18;
When μ ═ 1,2, 3; j is a function of 2 =μ;T(j 1 ,μ)=W oβα (j 1 ,μ);λ o (j 1 ,μ),λ β (j 1 ,μ),λ α (j 1 ,μ);
When mu is 4,5, 6; j is a function of 2 =μ-3;T(j 1 ,μ)=W oγβ (j 1 ,μ-3);λ o (j 1 ,μ-3),λ γ (j 1 ,μ-3),λ β (j 1 ,μ-3);
When mu is 7,8, 9; j is a function of 2 =μ-6;T(j 1 ,μ)=W oδγ (j 1 ,μ-6);λ O (j 1 ,μ-6),λ δ (j 1 ,μ-6),λ γ (j 1 ,μ-6);
When mu is 10,11, 12; j is a function of 2 =μ-9;T(j 1 ,μ)=W oεδ (j 1 ,μ-9);λ o (j 1 ,μ-9),λ ε (j 1 ,μ-9),λ δ (j 1 ,μ-9);
When mu is 13,14, 15; j is a function of 2 =μ-12;T(j 1 ,μ)=W oζε (j 1 ,μ-12);λ o (j 1 ,μ-12),λ ζ (j 1 ,μ-12),λ ε (j 1 ,μ-12);
When mu is 16,17, 18; j is a function of 2 =μ-15;T(j 1 ,μ)=W oαζ (j 1 ,μ-15);λ o (j 1 ,μ-15),λ α (j 1 ,μ-15),λ ζ (j 1 ,μ-15);
Get j 1 When equal to 3, mu m =12,μ=1,2,…,11,12;
When mu is 1, 2; j is a function of 2 =μ;T(j 1 ,μ)=W oβα (j 1 ,μ);λ o (j 1 ,μ),λ β (j 1 ,μ),λ α (j 1 ,μ);
When mu is 3, 4; j is a function of 2 =μ-2;T(j 1 ,μ)=W oγβ (j 1 ,μ-2);λ o (j 1 ,μ-2),λ γ (j 1 ,μ-2),λ β (j 1 ,μ-2);
When mu is 5, 6; j is a function of 2 =μ-4;T(j 1 ,μ)=W oδγ (j 1 ,μ-4);λ O (j 1 ,μ-4),λ δ (j 1 ,μ-4),λ γ (j 1 ,μ-4);
When mu is 7, 8; j is a function of 2 =μ-6;T(j 1 ,μ)=W oεδ (j 1 ,μ-6);λ o (j 1 ,μ-6),λ ε (j 1 ,μ-6),λ δ (j 1 ,μ-6);
When mu is 9, 10; j is a function of 2 =μ-8;T(j 1 ,μ)=W oζε (j 1 ,μ-8);λ o (j 1 ,μ-8),λ ζ (j 1 ,μ-8),λ ε (j 1 ,μ-8);
When mu is 11, 12; j is a function of 2 =μ-10;T(j 1 ,μ)=W oαζ (j 1 ,μ-10);λ o (j 1 ,μ-10),λ α (j 1 ,μ-10),λ ζ (j 1 ,μ-10);
Get j 1 When equal to 4, mu m =6,μ=1,2,…,5,6;
When mu is 1; j is a function of 2 =μ;T(j 1 ,μ)=W oβα (j 1 ,μ);λ o (j 1 ,μ),λ β (j 1 ,μ),λ α (j 1 ,μ);
When mu is 2; j is a function of 2 =μ-1;T(j 1 ,μ)=W oγβ (j 1 ,μ-1);λ o (j 1 ,μ-1),λ γ (j 1 ,μ-1),λ β (j 1 ,μ-1);
When mu is 3; j is a function of 2 =μ-2;T(j 1 ,μ)=W oδγ (j 1 ,μ-2);λ O (j 1 ,μ-2),λ δ (j 1 ,μ-2),λ γ (j 1 ,μ-2);
When mu is 4; j is a function of 2 =μ-3;T(j 1 ,μ)=W oεδ (j 1 ,μ-3);λ o (j 1 ,μ-3),λ ε (j 1 ,μ-3),λ δ (j 1 ,μ-3);
When mu is 5; j is a function of 2 =μ-4;T(j 1 ,μ)=W oζε (j 1 ,μ-4);λ o (j 1 ,μ-4),λ ζ (j 1 ,μ-4),λ ε (j 1 ,μ-4);
When mu is 6; j is a function of 2 =μ-5;T(j 1 ,μ)=W oαζ (j 1 ,μ-5);λ o (j 1 ,μ-5),λ α (j 1 ,μ-5),λ ζ (j 1 ,μ-5);
Get j 1 When equal to 5, mu m =1,μ=1;
When mu is 1, j 2 =1,T(j 1 ,μ)=W oβα (5,1),λ o (5,1),λ β (5,1)λ α (5,1);
Step C3. sets the mixing ratio of the seven primary color fibers α, β, γ, δ, ε, ζ, O in the mixed sample as follows:
[λ(j 1 ,δ)]=[λ α (j 1 ,μ)λ β (j 1 ,μ)λ γ (j 1 ,μ)λ δ (j 1 ,μ)λ ε (j 1 ,μ)λ ξ (j 1 ,μ)λ o (j 1 ,μ)] T (19)。
according to formula (11), when μ ═ 1,2 m /6,μ+j 1 When the number is less than or equal to 6, lambda o (j 1 ,μ)=(j 1 -1)/4,λ β (j 1 ,μ)=(μ-1)/4,λ α (j 1 ,μ)=(6-j 1 - μ)/4, then:
[λ(j 1 ,μ)]=[(6-j 1 -μ)/4 (μ-1)/4 0 0 0 0 (j 1 -1)/4] T (20)
according to formula (12), when μ ═ μ m /6+1),(μ m /6+2),…,(2μ m /6),μ+2j 1 When the number is less than or equal to 11, lambda o (j 1 ,μ)=(j 1 -1)/4,λ γ (j 1 ,μ)=(j 1 +μ-6)/4,λ β (j 1 ,μ)=(-2j 1 - μ +11)/4, then:
[λ(j 1 ,μ)]=[0 (-2j 1 -μ+11)/4 (j 1 +μ-6)/4 0 0 0 (j 1 -1)/4] T (21)
according to formula (13), when μ=(2μ m /6+1),(2μ m /6+2),…,(3μ m /6),μ+3j 1 When the number is less than or equal to 16, lambda o (j 1 ,μ)=(j 1 -1)/4,λ δ (j 1 ,j 2 )=(2j 1 +μ-11)/4,λ γ (j 1 ,j 2 )=(-3j 1 - μ +16)/4, then:
[λ(j 1 ,μ)]=[0 0 (-3j 1 -μ+16)/4 (2j 1 +μ-11)/4 0 0 (j 1 -1)/4] T (22)
according to formula (14), when μ ═ 3 μ m /6+1),(3μ m /6+2),…,(4μ m /6),μ+4j 1 When the number is less than or equal to 21, lambda o (j 1 ,μ)=(j 1 -1)/4,λ ε (j 1 ,j 2 )=(3j 1 +μ-16)/4,λ δ (j 1 ,j 2 )=(-4j 1 - μ +21)/4, then:
[λ(j 1 ,μ)]=[0 0 0 (-4j 1 -μ+21)/4 (3j 1 +μ-16)/4 0 (j 1 -1)/4] T (23)
according to formula (15), when μ ═ 4 μ m /6+1),(4μ m /6+2),…,(5μ m /6),μ+5j 1 When the ratio is less than or equal to 26, lambda o (j 1 ,μ)=(j 1 -1)/4,λ ζ (j 1 ,j 2 )=(4j 1 +μ-21)/4,λ ε (j 1 ,j 2 )=(-5j 1 - μ +26)/4, then:
[λ(j 1 ,μ)]=[0 0 0 0 (-5j 1 -μ+26)/4 (4j 1 +μ-21)/4 (j 1 -1)/4] T (24)
according to formula (16), when μ ═ 5 μ m /6+1),(5μ m /6+2),…,(μ m ),μ+6j 1 When the number is less than or equal to 31, lambda o (j 1 ,μ)=(j 1 -1)/4,λ α (j 1 ,j 2 )=(5j 1 +μ-26)/4,λ ζ (j 1 ,j 2 )=(-6j 1 - μ +31)/4, then:
[λ(j 1 ,μ)]=[(5j 1 +μ-26)/4 0 0 0 0 (-6j 1 -μ+31)/4 (j 1 -1)/4] T (25)
then the quality of each subsample of the panchromatic domain color mixing model is as follows:
Figure BDA0003603287270000101
blending ratio [ lambda (j) of full color gamut gridding mixed color model subsample 1 ,μ)]Comprises the following steps:
λ(j 1 ,μ)=[λ α (j 1 ,μ) λ β (j 1 ,μ) λ γ (j 1 ,μ) λ δ (j 1 ,μ) λ ε (j 1 ,μ) λ ζ (j 1 ,μ) λ o (j 1 ,μ)] T (27)
wherein when j 1 1,2,3,4,. mu. m =6×(5-j 1 ),μ=1,2,……,μ m (ii) a When j is 1 When equal to 5, mu is equal to mu m =1,j 2 =1。
Let each subsample color be C (j) 1 ,δ)=[C r (j 1 ,δ) C g (j 1 ,δ) C b (j 1 ,δ)] T And then:
Figure BDA0003603287270000111
then proceed to step C4.
Step C4.(1) when j is 1 1, let μ be 1,2, …,23, 24;
[T(1,μ)] 1×24 =[T(1,1)T(1,2)…T(1,8)T(1,9)…T(1,16)T(1,17)…T(1,23)T(1,24)] (29)
(2) when j is 1 2, let μ be 1,2, …, 18;
[T(2,μ)] 1×18 =[T(2,1)T(2,2)…T(2,7)C(2,8)…T(2,14)C(2,15)…T(2,17)T(2,18)] (30)
(3) when j is 1 3, let μ be 1,2, …, 12;
[T(3,μ)] 1×12 =[T(3,1)T(3,2)…T(3,10)T(3,11)T(3,12)] (31)
(4) when j is 1 =4Let μ be 1,2, …, 6;
[T(4,μ)] 1×6 =[T(4,1)T(4,2)…T(4,5)T(4,6)] (32)
(5) when j is on 1 Setting mu as 5 and 1;
[T(5,μ)] 1×1 =[T(5,1)] (33)
then proceed to step C5.
Step C5. obtains the quality matrix of the full-gamut gridding color mixing model based on equations (29) to (33) as follows:
Figure BDA0003603287270000112
and further obtaining a mixing ratio matrix of the full-color-domain gridding color mixing model as follows:
Figure BDA0003603287270000113
the color matrix of the panchromatic domain gridding color mixing model is obtained as follows:
Figure BDA0003603287270000121
namely, according to the color matrix of the panchromatic domain gridding color mixing model, a panchromatic domain gridding color spectrum corresponding to the seven primary colors is constructed, as shown in fig. 3, and then the step D is performed.
In practical applications, if the color values of the seven primary colors are M (255,0,0), Y (255, 0), G (0,255,0), C (0,255,255), B (0, 255), M (255,0,255), and E (128,128,128), the full-color-domain gridding chromatogram corresponding to the seven primary colors is as shown in fig. 4.
And D, aiming at the full-color-gamut gridding color spectrum, constructing a full-color-gamut gridding annular color model corresponding to the seven primary colors in a manner of twisting into concentric circles according to the following steps D1 to D2.
And D1, aiming at the full-color-gamut gridding color spectrum, constructing a full-color-gamut gridding annular color model corresponding to the seven primary colors in a manner of twisting into concentric circles, as shown in FIG. 5, and then entering the step D2.
In practical applications, if the color values of the seven primary colors are M (255,0,0), Y (255, 0), G (0,255,0), C (0,255,255), B (0, 255), M (255,0,255), and E (128,128,128), the full-color-domain gridding annular color spectrum corresponding to the seven primary colors is as shown in fig. 6.
Step D2., obtaining the polar coordinates of each grid point position in the panchromatic-domain gridding annular color model according to the following formula: polar angle θ (j) 1 μ), polar radius ρ (j) 1 );
First, when j 1 When the ratio is 1,2,3,4,
Figure BDA0003603287270000122
forthright the bone 1 When the number is equal to 5, the alloy is put into a container,
Figure BDA0003603287270000123
the numerical control spinning is a spinning method which is essentially characterized by asynchronous drafting (multiple channels) of multiple rovings and can regulate and control the change of the blending ratio, the linear density and the twist of spun yarns on line, for the numerical control spinning, a complete system comprises a spinning mechanical system, a spinning control system and a spinning servo system, and the spinning mechanical system comprises a coupling drafting mechanism, a twisting mechanism and a winding forming mechanism of a multi-channel coupling digital spinning machine; the spinning control system comprises an upper computer touch screen, a lower computer and a control program; the spinning servo system comprises a servo motor, a variable frequency motor, a servo driver of the variable frequency motor, a frequency converter, an encoder, a speed reducer and the like corresponding to each mechanism of the mechanical system.
Based on the full-color-domain gridding chromatogram construction method based on seven-primary-color fiber color-mixing spinning, the spinning method is further designed, based on a three-channel color-mixing numerical control spinning system, three rear rollers, a middle roller, a front roller and a ring rail plate are combined to respectively correspond one by one based on servo drivers and controlled by servo motors, and according to full-color-domain gridding rings corresponding to seven primary colorsThe shape color model is used for respectively carrying out digital spinning on three fibers corresponding to the three ternary color mixture combinations composed of the seven primary color fibers alpha, beta, gamma, delta, epsilon, zeta and O; wherein is based on j 1 1,2,3,4,. mu. m =6×(5-j 1 ),μ=1,2,……,μ m (ii) a And j 1 When equal to 5, mu is equal to mu m =1,j 2 1 is ═ 1; three fibers fed into the three-channel color-mixing numerical control spinning system are respectively o, X and Z.
When mu is 1 to mu m When the fiber is/6, feeding three fibers o, X and Z of the three-channel color-mixing numerical control spinning system into the three-channel color-mixing numerical control spinning system, wherein the three fibers o, X and Z are respectively o, beta and alpha;
when mu is mu m /6~2μ m When the fiber is/6, feeding three fibers o, X and Z of the three-channel color-mixing numerical control spinning system into the three-channel color-mixing numerical control spinning system, wherein the three fibers o, X and Z are respectively o, gamma and beta;
when mu is 2 mu m /6~3μ m When the fiber is/6, feeding three fibers o, X and Z of the three-channel color-mixing numerical control spinning system into the three-channel color-mixing numerical control spinning system, wherein the three fibers o, X and Z are respectively o, delta and gamma;
when mu is 3 mu m /6~4μ m When the fiber is/6, feeding three fibers o, X and Z of the three-channel color-mixing numerical control spinning system into the three-channel color-mixing numerical control spinning system, wherein the three fibers o, X and Z are respectively o, epsilon and delta;
when mu is 4 mu m /6~5μ m When the fiber is/6, feeding three fibers o, X and Z of the three-channel color-mixing numerical control spinning system into the three-channel color-mixing numerical control spinning system, wherein the three fibers o, X and Z are respectively o, zeta and epsilon;
when mu is 5 mu m /6~μ m And feeding three fibers o, X and Z of the three-channel color-mixing numerical control spinning system into the three-channel color-mixing numerical control spinning system to be o, zeta and alpha respectively.
Based on the linear velocity V of the front roller of the drafting channel q (j 1 Mu), linear velocity V of three back rollers ho (j 1 ,μ),V hX (j 1 ,μ),V hZ (j 1 μ), draw ratio of three channels E o (j 1 ,μ),E X (j 1 ,μ),E Z (j 1 Mu) of three fiber densities after drawing ρ' o (j 1 ,μ),ρ' X (j 1 ,μ),ρ' Z (j 1 Mu) the blend ratio of the individual fibers in the finished yarn is lambda o (j 1 ,μ),λ X (j 1 ,μ),λ Z (j 1 ,μ)。
The three channel draw ratio is as follows:
Figure BDA0003603287270000131
let ρ be o =ρ X =ρ Z Then, the above equation is simplified as:
Figure BDA0003603287270000132
wherein, μ ═ 1,3,. ·,21, 24; j is a function of 1 =1,2,3,4,5;μ≥j 1
Three fibers o, X and Z corresponding to the ternary color mixture combination are respectively fed into the back roller based on three independent drives, and then the fibers are converged at the jaw of the front roller and enter a twisting mechanism for twisting to form the linear density rho of the three-channel color mixture yarn y Comprises the following steps:
Figure BDA0003603287270000133
and the three fibers obtained by asynchronous drafting are combined and twisted to form a yarn, and the blending ratio lambda of each fiber o, X and Z in the yarn o (j 1 ,μ),λ X (j 1 ,μ),λ Z (j 1 μ) is:
Figure BDA0003603287270000141
wherein λ is o (j 1 ,μ)+λ X (j 1 ,μ)+λ Z (j 1 ,μ)=1,μ=1,3,...,21,24;j 1 =1,2,3,4,5;μ≥j 1
The resultant yarn color C is determined by the color value of each fiber and the blending ratio thereof based on the resultant yarn color y (j 1 ,μ)=(C r ,C g ,C b ) T The following were used:
Figure BDA0003603287270000142
or:
Figure BDA0003603287270000143
then, based on the full-color-domain gridding annular color model corresponding to the seven primary colors, the full-color-domain color matrix obtained by digital spinning is as follows:
Figure BDA0003603287270000144
in practical application, according to a full-color domain gridding annular color model corresponding to seven primary colors, three fibers corresponding to three ternary color mixture combinations are respectively subjected to digital spinning, and the yarn forming color is C y (C r (j 1 ,μ),C g (j 1 ,μ),C b (j 1 Mu)) and combining a full-color-domain gridding annular color model corresponding to the seven primary colors, wherein the yarn forming color is determined by the color value of each fiber and the blending ratio thereof, then:
Figure BDA0003603287270000145
wherein when j 1 1,2,3,4,. mu. m =6×(5-j 1 ),μ=1,2,……,μ m (ii) a When j is 1 When equal to 5, mu is equal to mu m =1,j 2 =1。
The blend ratio matrix is then as follows:
Figure BDA0003603287270000146
based on the fiber color mixing ratio, three fiber o, X and Z draft ratios are obtained as follows:
Figure BDA0003603287270000147
wherein, if o =ρ X =ρ Z Then, then
Figure BDA0003603287270000151
The draft ratio is updated according to the mix ratio matrix as follows:
Figure BDA0003603287270000152
in the specific implementation, based on a three-channel color-mixing numerical control spinning system, in the digital spinning respectively aiming at three fibers corresponding to each ternary color-mixing combination according to a full-color-domain gridding annular color model corresponding to seven primary colors, the spinning of color yarns with invariable chroma and variable hue is included, wherein according to a formula (45) and a full-color-domain gridding color spectrum corresponding to the seven primary colors, color values of 4 series of color yarns with invariable chroma and variable hue are respectively as follows:
color values of color yarns with unchanged chroma and changed hue in the 1 st series: [ C (1,1), C (1,2),.., C (1,23), C (1,24) ];
color values of 2 nd series color yarns with unchanged chroma and changed hue: [ C (2,1), C (2,2),.., C (2,17), C (2,18) ];
color values of the 3 rd series color yarns with unchanged chroma and changed hue: [ C (3,1), C (3,2),.., C (3,11), C (3,12) ];
color values of the 4 th series of color yarns with unchanged chroma and changed hue: [ C (4,1), C (4,2),.., C (4,5), C (4,6) ].
According to the formula (47) and the full-color domain gridding chromatogram corresponding to the seven primary colors, the blending ratios of the 4 series of color yarns with unchanged chroma and changed hue are respectively as follows:
the 1 st series color yarn mixing ratio with unchanged chroma and changed hue is as follows: [ λ (1,1), λ (1,2),.., λ (1,23), λ (1,24) ];
the 2 nd series color yarn mixing ratio with unchanged chroma and changed hue is as follows: [ λ (2,1), λ (2,2),.., λ (2,17), λ (2,18) ];
the 3 rd series color yarn mixing ratio with unchanged chroma and changed hue is as follows: [ λ (3,1), λ (3,2), λ (3,11), λ (3,12) ];
color values of the 4 th series of color yarns with unchanged chroma and changed hue: [ λ (4,1), λ (4,2),.., λ (4,5), λ (4,6) ].
According to the formula (50) and the full-color domain gridding chromatogram corresponding to the seven primary colors, the draft ratios of the 4 series of color yarns with unchanged chroma and changed hue are respectively as follows:
the draft ratio of the 1 st series color yarn with unchanged chroma and changed hue is as follows: [ E (1,1), E (1,2),.., E (1,23), E (1,24) ];
2 nd series color yarn draft ratio with unchanged chroma and changed hue: [ E (2,1), E (2,2),.., E (2,17), E (2,18) ];
the 3 rd series color yarn draft ratio with unchanged chroma and changed hue is as follows: [ E (3,1), E (3,2),.., E (3,11), E (3,12) ];
the 4 th series of color yarns with unchanged chroma and changed hue have the following draft values: [ E (4,1), E (4,2), E (4,5), E (4,6) ].
Based on the design of the spinning process parameters, 4 series of colored yarns with unchanged chroma and changed hue corresponding to the color gamut within the full color gamut chromatogram range are spun.
And based on a three-channel color-mixing numerical control spinning system, according to a full-color-domain gridding annular color model corresponding to seven primary colors, respectively carrying out digital spinning on three fibers corresponding to each ternary color-mixing combination, wherein the spinning of color yarns with unchanged hue and changed lightness comprises the spinning of the color yarns, and according to a formula (45) and the full-color-domain gridding color spectrum corresponding to the seven primary colors, color values of the color yarns with unchanged hue and changed lightness corresponding to the six ternary color-mixing combinations are respectively as follows:
the color values of the color yarns with unchanged hue and changed lightness corresponding to the 1 st ternary color mixing combination are as follows: [ C (5,1), C (4,1), C (3,1), C (2,1), C (1,1) ];
the color values of the color yarns with unchanged hue and changed lightness corresponding to the 2 nd ternary color mixing combination are as follows: [ C (5,1), C (4,2), C (3,3), C (2,4), C (1,5) ];
color values of color yarns with unchanged hue and changed lightness corresponding to the 3 rd ternary color mixing combination are as follows: [ C (5,1), C (4,3), C (3,5), C (2,7), C (1,9) ];
color values of color yarns with unchanged hue and changed lightness corresponding to the 4 th ternary color mixing combination are as follows: [ C (5,1), C (4,4), C (3,7), C (2,10), C (1,13) ];
the 5 th ternary color mixture combination corresponds to color values of color yarns with unchanged hue and changed lightness: [ C (5,1), C (4,5), C (3,9), C (2,13), C (1,17) ];
the 6 th ternary color mixture combination corresponds to color values of color yarns with unchanged hue and changed lightness: [ C (5,1), C (4,6), C (3,11), C (2,16), C (1,21) ].
According to the formula (47) and the full color gamut gridding chromatogram corresponding to the seven primary colors, the color yarn color mixing ratios of the unchanged hue and the changed lightness corresponding to the six ternary color mixing combinations are respectively as follows:
the color mixing ratio of the color yarns with unchanged hue and changed lightness corresponding to the 1 st ternary color mixing combination is as follows: [ λ (5,1), λ (4,1), λ (3,1), λ (2,1), λ (1,1) ];
the color mixing ratio of the color yarns with unchanged hue and changed lightness corresponding to the 2 nd ternary color mixing combination is as follows: [ λ (5,1), λ (4,2), λ (3,3), λ (2,4), λ (1,5) ];
the color mixing ratio of the color yarns with unchanged hue and changed lightness corresponding to the 3 rd ternary color mixing combination is as follows: [ λ (5,1), λ (4,3), λ (3,5), λ (2,7), λ (1,9) ];
the color mixing ratio of the color yarns with unchanged hue and changed lightness corresponding to the 4 th ternary color mixing combination is as follows: [ λ (5,1), λ (4,4), λ (3,7), λ (2,10), λ (1,13) ];
the 5 th ternary color mixture combination corresponds to the color yarn mixture ratio with unchanged hue and changed lightness: [ λ (5,1), λ (4,5), λ (3,9), λ (2,13), λ (1,17) ];
the 6 th ternary color mixture combination corresponds to the color yarn mixture ratio with unchanged hue and changed lightness: [ lambda (5,1), lambda (4,6), lambda (3,11), lambda (2,16), lambda (1,21) ].
According to the formula (50) and the full color gamut gridding chromatogram corresponding to the seven primary colors, the draft ratios of the color yarns with unchanged hue and changed lightness corresponding to the six ternary color mixture combinations are respectively as follows:
the 1 st ternary color mixture combination corresponds to the color yarn draft ratio with unchanged hue and changed lightness: [ E (5,1), E (4,1), E (3,1), E (2,1), E (1,1) ];
the 2 nd ternary color mixture combination corresponds to the color yarn draft ratio with unchanged hue and changed lightness: [ E (5,1), E (4,2), E (3,3), E (2,4), E (1,5) ];
the 3 rd ternary color mixture combination corresponds to the color yarn draft ratio with unchanged hue and changed lightness: [ E (5,1), E (4,3), E (3,5), E (2,7), E (1,9) ];
the 4 th ternary color mixture combination corresponds to the color yarn draft ratio with unchanged hue and changed lightness: [ E (5,1), E (4,4), E (3,7), E (2,10), E (1,13) ];
the 5 th ternary color mixture combination corresponds to the color yarn draft ratio with unchanged hue and changed lightness: [ E (5,1), E (4,5), E (3,9), E (2,13), E (1,17) ];
the 6 th ternary color mixture combination corresponds to the color yarn draft ratio with unchanged hue and changed lightness: [ E (5,1), E (4,6), E (3,11), E (2,16), E (1,21) ].
Based on the design of the spinning process parameters, the colored yarns with unchanged hue and changed lightness corresponding to the six ternary color mixing combinations are spun in the full color gamut chromatographic range.
In addition, based on a three-channel color-mixing numerical control spinning system, in digital spinning respectively aiming at three fibers corresponding to each ternary color-mixing combination according to a full-color-domain gridding annular color model corresponding to seven primary colors, the spinning of color yarns with hue change and chroma change is included, wherein according to a formula (45) and a full-color-domain gridding color spectrum corresponding to the seven primary colors, color values of the color yarns with unchanged hue and changed chroma corresponding to the six ternary color-mixing combinations are respectively as follows:
the color value of the color yarn with unchanged hue and changed chroma corresponding to the 1 st ternary color mixing combination is as follows: [ C (5,1), C (4,1), C (2,2), C (1,3) ];
the color value of the color yarn with unchanged hue and changed chroma corresponding to the 2 nd ternary color mixing combination is as follows: [ C (5,1), C (4,2), C (2,5), C (1,7) ];
the color value of the color yarn with unchanged hue and changed chroma corresponding to the 3 rd ternary color mixing combination is as follows: [ C (5,1), C (4,3), C (2,8), C (1,11) ];
color values of color yarns with unchanged hue and changed chroma corresponding to the 4 th ternary color mixing combination are as follows: [ C (5,1), C (4,4), C (2,11), C (1,15) ];
the color value of the color yarn with unchanged hue and changed chroma corresponding to the 5 th ternary color mixing combination is as follows: [ C (5,1), C (4,5), C (2,14), C (1,19) ];
the 6 th ternary color mixture combination corresponds to color values of color yarns with unchanged hue and changed chroma: [ C (5,1), C (4,6), C (2,17), C (1,23) ].
According to the formula (47) and the full color gamut gridding chromatogram corresponding to the seven primary colors, the color yarn color mixing ratios of the unchanged hue and the changed chroma corresponding to the six ternary color mixing combinations are respectively as follows:
the color mixing ratio of the color yarn with unchanged hue and changed chroma corresponding to the 1 st ternary color mixing combination is as follows: [ λ (5,1), λ (4,1), λ (2,2), λ (1,3) ];
the color mixing ratio of the color yarn with unchanged hue and changed chroma corresponding to the 2 nd ternary color mixing combination is as follows: [ λ (5,1), λ (4,2), λ (2,5), λ (1,7) ];
the color mixing ratio of the color yarn with unchanged hue and changed chroma corresponding to the 3 rd ternary color mixing combination is as follows: [ λ (5,1), λ (4,3), λ (2,8), λ (1,11) ];
the color mixing ratio of the color yarn with unchanged hue and changed chroma corresponding to the 4 th ternary color mixing combination is as follows: [ λ (5,1), λ (4,4), λ (2,11), λ (1,15) ];
the 5 th ternary color mixing combination corresponds to the color mixing ratio of the color yarn with unchanged hue and changed chroma: [ λ (5,1), λ (4,5), λ (2,14), λ (1,19) ];
the 6 th ternary color mixing combination corresponds to the color mixing ratio of the color yarn with unchanged hue and changed chroma: [ lambda (5,1), lambda (4,6), lambda (2,17), lambda (1,23) ].
According to the formula (50) and the full color gamut gridding chromatogram corresponding to the seven primary colors, the draft ratios of the color yarns with unchanged hue and changed chroma corresponding to the six ternary color mixture combinations are respectively as follows:
the 1 st ternary color mixture combination corresponds to the color yarn draft ratio with unchanged hue and changed chroma: [ E (5,1), E (4,1), E (2,2), E (1,3) ];
the 2 nd ternary color mixture combination corresponds to the color yarn draft ratio with unchanged hue and changed chroma: [ E (5,1), E (4,2), E (2,5), E (1,7) ];
the 3 rd ternary color mixture combination corresponds to the color yarn draft ratio with unchanged hue and changed chroma: [ E (5,1), E (4,3), E (2,8), E (1,11) ];
the 4 th ternary color mixture combination corresponds to the color yarn draft ratio with unchanged hue and changed chroma: [ E (5,1), E (4,4), E (2,11), E (1,15) ];
the 5 th ternary color mixture combination corresponds to the color yarn draft ratio with unchanged hue and changed chroma: [ E (5,1), E (4,5), E (2,14), E (1,19) ];
the 6 th ternary color mixture combination corresponds to the color yarn draft ratio with unchanged hue and changed chroma: [ E (5,1), E (4,6), E (2,17), E (1,23) ].
Based on the design of the spinning process parameters, the colored yarns with unchanged hue and changed chroma corresponding to the six ternary color mixing combinations are spun in the full color gamut chromatographic range.
The construction method of the full-color-domain gridding chromatography based on the seven-primary-color fiber mixed-color spinning and the spinning method are applied to the practice, in the embodiment 1, the color yarn is spun based on the full-color-domain chromatography, and the specific implementation is as follows.
1. Optimizing dyeing process, selecting six groups of color and gray dye formulas with color difference of about 60 degrees, dyeing natural fibers, or chemical fibers or blended fibers to obtain seven-primary-color fibers with alpha, beta, gamma, delta, epsilon, zeta and o, and obtaining RGB color values of the seven-primary-color fibers as C by a color measuring instrument α (R α ,G α ,B α ),C β (R β ,G β ,B β ),C γ (R γ ,G γ ,B γ ),C δ (R δ ,G δ ,B δ ),C ε (R ε ,G ε ,B ε ),C ζ (R ζ ,G ζ ,B ζ ),C o (R o ,G o ,B o )C γ (R α ,G α ,B α ) As shown in table 1 below.
TABLE 1
Colored fiber RGB value Lab value HSL value
Alpha fiber (0,110,105) (41.5,-27.7,-4.8) (177°,100,22)
Beta fiber (0,7,235) (29.6,72.9,-101) (238°,100,46)
Gamma fiber (232,72,42) (54,60.4,51.4) (9°,81,54)
Delta fiber (124,7,105) (28,53.6,-24.7) (310°,89,26)
Epsilon fiber (172,187,8) (72.5,-23.3,72.5) (65°,92,38)
Zeta fibre (45,210,15) (74,-70.8,70.7) (111°,87,44)
o fiber (126,127,124) (53,-1,1.5) (80°,1,49)
2. Full-color-domain chromatography for designing color-blended yarn based on seven-primary-color full-color-domain gridding color model
If the measured fiber color values of the seven primary colors α (0,110,105), β (0,7,235), γ (232,72,42), δ (124,7,105), ε (172,187,8), ζ (45,210,15) and o (126,127,124) are taken as the formula (36), the full-color-domain gridding chromatogram corresponding to the seven primary colors is calculated and shown in fig. 7, and the full-color-domain gridding annular color model corresponding to the seven primary colors is shown in fig. 8.
Substituting the measured seven primary color fiber color values alpha (0,110,105), beta (0,7,235), gamma (232,72,42), delta (124,7,105), epsilon (172,187,8), zeta (45,210,15) and o (126,127,124) into formula (28) to obtain the color value C (j) of the full color gamut mixed sample of the color yarn 1 ,δ)=[C r (j 1 ,δ),C g (j 1 ,δ),C b (j 1 ,δ)]The following were used:
Figure BDA0003603287270000181
(j 1 =1,2,3,4,5;μ=1,2,3,…,μ m )
(j 1 1,2,3,4,. mu. m =6×(5-j 1 ),μ=1,2,……,μ m (ii) a When j is 1 When equal to 5, mu is equal to mu m =1,j 2 =1)
All C (j) 1 μ) the results of the calculations are shown in Table 2 below for the values of the color of the gamut-coupled color-mixed chromatogram.
TABLE 2
Figure BDA0003603287270000182
Figure BDA0003603287270000191
2. The three primary colors fibers are respectively made into linear density W through the spinning process α ,W β ,W γ Three primary roving at 4.5g/10m, as shown in Table 3 below.
TABLE 3
Rough yarn Density of coarse yarn RGB value Lab value HSL value
Alpha fiber W α =4.5g/10m (0,110,105) (41.5,-27.7,-4.8) (177°,100,22)
Beta fiber W β =4.5g/10m (0,7,235) (29.6,72.9,-101) (238°,100,46)
Gamma fiber W γ =4.5g/10m (232,72,42) (54,60.4,51.4) (9°,81,54)
Delta fiber W δ =4.5g/10m (124,7,105) (28,53.6,-24.7) (310°,89,26)
Epsilon fiber W ε =4.5g/10m (172,187,8) (72.5,-23.3,72.5) (65°,92,38)
Zeta fibre W ζ =4.5g/10m (45,210,15) (74,-70.8,70.7) (111°,87,44)
o fiber W o =4.5g/10m (126,127,124) (53,-1,1.5) (80°,1,49)
2. Parameters of colored yarns
(1) Specification parameters of colored yarns
The yarn density of the colored yarn is 24.5tex, the yarn twist coefficients are 296.98, and the color of the colored yarn and the blending ratio of the tricolor fibers are determined according to a full-color-domain circular color model design scheme.
(2) Blending ratio parameter for spinning full color gamut colored yarn
Tricolor blended yarn blending ratio lambda (j) 1 μ) as follows:
Figure BDA0003603287270000192
(j 1 1,2,3,4,. mu. m =6×(5-j 1 ),μ=1,2,……,μ m (ii) a When j is 1 When equal to 5, mu is equal to mu m =1,j 2 =1)
The overall blend ratio parameter λ (j) 1 μ) are shown in table 4 for the full color gamut color yarn blend ratio parameters.
TABLE 4
Figure BDA0003603287270000193
(2) Draft ratio parameter for spinning full color gamut colored yarn
Tricolor mixed color yarn draft ratio E (j) 1 ,μ)=[E o (j 1 ,μ),E X (j 1 ,μ),E Z (j 1 ,μ)]The following were used:
Figure BDA0003603287270000201
(j 1 when 1,2,3,4 is true,μ m =6×(5-j 1 ),μ=1,2,……,μ m (ii) a When j is 1 When equal to 5, mu is equal to mu m =1,j 2 =1)
All draft ratio parameter E (j) 1 δ) are calculated as shown in table 5 for the draft ratio parameters for the spun full color gamut colored yarn.
TABLE 5
Figure BDA0003603287270000202
(2) Draft ratio parameter for spinning full color gamut colored yarn
The color values of the full color gamut mixed sample of the color yarn can be obtained based on the known three primary color fiber color values as follows:
Figure BDA0003603287270000203
(j 1 =1,2,3,4,5;μ=1,2,3,…,μ m )
the color values of the full-color-gamut color yarn chromatogram of the full-color-gamut color mixture model blend sample are calculated and shown in table 6.
TABLE 6
Figure BDA0003603287270000204
Example 2-spinning of color yarn with constant chroma and changed hue, as shown in fig. 9, 18 serial colors with different hues and a chroma value of 75% are selected, the color yarn with constant chroma and changed hue is spun, as shown in table 7, the spinning process includes drafting process parameters of the color yarn with constant chroma and changed hue, and as shown in table 8, the color value of the spun color yarn is the color value of the color yarn with constant chroma and changed hue.
TABLE 7
Figure BDA0003603287270000205
TABLE 8
Figure BDA0003603287270000211
Example 3-spinning of color yarn with unchanged hue and changed chroma, as shown in fig. 10, selecting a series of colors with unchanged hue and changed chroma, spinning color yarn with unchanged hue and changed chroma, spinning process as shown in table 9, spinning color yarn drafting process parameters with unchanged hue and changed lightness, and spinning color value of the spun yarn as shown in table 10.
TABLE 9
Figure BDA0003603287270000212
Watch 10
Figure BDA0003603287270000213
Example 4 spinning of color yarns with hue Change and chroma Change
As shown in fig. 11, six colors of hue change and chroma change are selected to spin color yarns with hue change and chroma change, the spinning process shows the drafting process parameters of the color yarns with hue change and chroma change as shown in table 11, and the color values of the spun yarns show the color values of the color yarns with hue change and chroma change as shown in table 12.
TABLE 11
Figure BDA0003603287270000214
Figure BDA0003603287270000221
TABLE 12
Figure BDA0003603287270000222
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 (9)

1. The method is characterized by comprising the following steps of:
step A, forming seven-primary-color fibers based on six kinds of color fibers which have the same quality and have 60-degree color difference and gray fibers with the same quality, and then entering step B;
b, based on a preset reference discrete number corresponding to the fiber quality, combining any two color fibers in the seven-primary-color fibers with gray fibers to form six ternary color mixing combinations, constructing a ternary coupling color mixing quality pyramid gridding model with gray top lattices corresponding to the ternary color mixing combinations and two colors corresponding to lattices at two ends of the bottom edge, and entering the step C;
c, aiming at the ternary coupling color mixing quality pyramid gridding model corresponding to each ternary color mixing combination, splicing the same lines among the models in a mode that one of the grids is reserved at the head and the tail of the same line among the models to form a full color domain gridding chromatogram corresponding to the seven primary colors, and then entering the step D;
and D, aiming at the full-color-gamut gridding color spectrum, constructing a full-color-gamut gridding annular color model corresponding to the seven primary colors in a manner of twisting into concentric circles.
2. The seven-primary color fiber full-gamut color mixing mode and annular gridding color matching model construction method according to claim 1, wherein the step B comprises the following steps B1-B4;
b1. based on the seven primary colors, alpha, beta, gamma, delta,Mass W of ε, ζ and O α 、W β 、W γ 、W δ 、W ε 、W ζ 、W o Combining with the preset reference discrete number 4 corresponding to the fiber quality, the combination of any two color fibers in the seven-primary-color fibers and the gray fibers forms six ternary color mixture combinations, and the quality W of the six ternary color mixture combinations oβα (j 1 ,j 2 ,j 3 )、W oγβ (j 1 ,j 2 ,j 3 )、W oδγ (j 1 ,j 2 ,j 3 )、W oεδ (j 1 ,j 2 ,j 3 )、W oζε (j 1 ,j 2 ,j 3 )、W oαζ (j 1 ,j 2 ,j 3 ) Is as follows, wherein j 1 、j 2 、j 3 1,2,3,4, 5, then proceed to step B2,
Figure FDA0003603287260000011
b2, according to the quality W of the seven primary color fibers alpha, beta, gamma, delta, epsilon, zeta and O α 、W β 、W γ 、W δ 、W ε 、W ζ 、W o All equal to W, and the mass W of six ternary color mixture combinations oβα (j 1 ,j 2 ,j 3 )、W oγβ (j 1 ,j 2 ,j 3 )、W oδγ (j 1 ,j 2 ,j 3 )、W oεδ (j 1 ,j 2 ,j 3 )、W oζε (j 1 ,j 2 ,j 3 )、W oαζ (j 1 ,j 2 ,j 3 ) Are all equal to W, then j 3 =7-j 1 -j 2 Wherein j is 1 、j 2 =1、2、3、4、5,(j 1 +j 2 ) Carrying out updating on the formula (2) at a value of less than or equal to 6 to obtain the following formula (4), and then entering the step B3;
Figure FDA0003603287260000021
b3, combining the qualities W according to six ternary mixed colors oβα (j 1 ,j 2 ,j 3 )、W oγβ (j 1 ,j 2 ,j 3 )、W oδγ (j 1 ,j 2 ,j 3 )、W oεδ (j 1 ,j 2 ,j 3 )、W oζε (j 1 ,j 2 ,j 3 )、W oαζ (j 1 ,j 2 ,j 3 ) Respectively constructing a ternary coupling color mixing quality pyramid gridding model corresponding to each ternary color mixing combination by using a top grid as gray and two grids at two ends of a bottom edge corresponding to two colors according to the corresponding formula (4), and then entering the step B4;
step B4. obtains the mixing ratio lambda of the seven primary color fibers alpha, beta, gamma, delta, epsilon, zeta and O corresponding to each ternary mixed color combination α (j 1 ,j 2 )、λ β (j 1 ,j 2 )、λ γ (j 1 ,j 2 )、λ δ (j 1 ,j 2 )、λ ε (j 1 ,j 2 )、λ ζ (j 1 ,j 2 )、λ o (j 1 ,j 2 ) The following were used:
W oβα (j 1 ,j 2 ) The method comprises the following steps: lambda [ alpha ] o (j 1 ,j 2 )=(j 1 -1)/4,λ β (j 1 ,j 2 )=(j 2 -1)/4,λ α (j 1 ,j 2 )=(6-j 1 -j 2 )/4 (5)
W oγβ (j 1 ,j 2 ) The method comprises the following steps: lambda [ alpha ] o (j 1 ,j 2 )=(j 1 -1)/4,λ γ (j 1 ,j 2 )=(j 2 -1)/4,λ β (j 1 ,j 2 )=(6-j 1 -j 2 )/4 (6)
W oδγ (j 1 ,j 2 ) The method comprises the following steps: lambda [ alpha ] o (j 1 ,j 2 )=(j 1 -1)/4,λ δ (j 1 ,j 2 )=(j 2 -1)/4,λ γ (j 1 ,j 2 )=(6-j 1 -j 2 )/4 (7)
W oεδ (j 1 ,j 2 ) The method comprises the following steps: lambda [ alpha ] o (j 1 ,j 2 )=(j 1 -1)/4,λ ε (j 1 ,j 2 )=(j 2 -1)/4,λ δ (j 1 ,j 2 )=(6-j 1 -j 2 )/4 (8)
W oζε (j 1 ,j 2 ) The method comprises the following steps: lambda [ alpha ] o (j 1 ,j 2 )=(j 1 -1)/4,λ ζ (j 1 ,j 2 )=(j 2 -1)/4,λ ε (j 1 ,j 2 )=(6-j 1 -j 2 )/4 (9)
W oαζ (j 1 ,j 2 ) The method comprises the following steps: lambda [ alpha ] o (j 1 ,j 2 )=(j 1 -1)/4,λ α (j 1 ,j 2 )=(j 2 -1)/4,λ ζ (j 1 ,j 2 )=(6-j 1 -j 2 )/4 (10)。
3. The seven-primary color fiber full-gamut color mixing mode and annular gridding color matching model construction method according to claim 2, wherein the step C comprises the following steps C1-C5;
c1, according to the ternary coupling color mixing quality pyramid gridding model corresponding to each ternary color mixing combination, performing same line splicing between models in a mode that one grid is reserved at the head and the tail of the same line between the models, and using j to splice the same line between the models 1 Representing the row of the spliced model, mu representing the column of the spliced model, and the full-color-domain mixed sample quality T (j) corresponding to the three primary colors 1 Mu) and the seven primary color fibers alpha, beta, gamma, delta, epsilon, zeta, O correspond to the mixing ratio lambda in the panchromatic mixed sample, respectively α (j 1 ,μ)、λ β (j 1 ,μ)、λ γ (j 1 ,μ)、λ δ (j 1 ,μ)、λ ε (j 1 ,μ)、λ ζ (j 1 ,μ)、λ o (j 1 ,μ) Step C2 is then entered as follows;
when j is 1 =1,2,3,…,4,μ m =6×(5-j 1 ) The method comprises the following steps:
if μ ═ 1,2, …, (μ) m /6-1),(μ m /6),j 2 When μ, then:
T(j 1 ,μ)=W oβα (j 1 ,j 2 ),λ α (j 1 ,μ),λ β (j 1 ,μ),λ o (j 1 ,μ) (11)
if μ ═ μ (μ) m /6+1),(μ m /6+2),…,(2×μ m /6-1),(2×μ m /6),j 2 =μ-μ m And 6, then:
T(j 1 ,μ)=W oγβ (j 1 ,μ-μ m /6),λ o (j 1 ,μ-μ m /6),λ β (j 1 ,μ-μ m /6),λ γ (j 1 ,μ-μ m /6) (12)
if μ ═ 2 × μ m /6+1),(2×μ m /6+2),…,(3×μ m /6-1),(3×μ m /6),j 2 =μ-2×μ m And 6, then:
T(j 1 ,μ)=W oδγ (j 1 ,μ-2×μ m /6),λ o (j 1 ,μ-2×μ m /6),λ δ (j 1 ,μ-2×μ m /6),λ γ (j 1 ,μ-2×μ m /6) (13)
if μ ═ 3 × μ m /6+1),(3×μ m /6+2),…,(4×μ m /6-1),4×μ m /6,j 2 =μ-3×μ m And 6, then:
T(j 1 ,μ)=W oεδ (j 1 ,μ-3×μ m /6),λ o (j 1 ,μ-3×μ m /6),λ ε (j 1 ,μ-3×μ m /6),λ δ (j 1 ,μ-3×μ m /6) (14)
if μ ═ 4 × μ m /6+1),(4×μ m /6+2),…,(5×μ m /6-1),5×μ m /6,j 2 =μ-4×μ m And 6, then:
T(j 1 ,μ)=W oζε (j 1 ,μ-4×μ m /6),λ o (j 1 ,μ-4×μ m /6),λ ζ (j 1 ,μ-4×μ m /6),λ ε (j 1 ,μ-4×μ m /6) (15)
if μ ═ 5 × μ m /6+1),(5×μ m /6+2),…,(μ m -1),μ m ,j 2 =μ-5×μ m And 6, then:
T(j 1 ,μ)=W oαζ (j 1 ,μ-5×μ m /6),λ o (j 1 ,μ-5×μ m /6),λ α (j 1 ,μ-5×μ m /6),λ ζ (j 1 ,μ-5×μ m /6) (16)
when j is 1 When the value is 5, mu is 1, j 2 When 1, then:
T(j 1 ,μ)=W oβα (5,1),λ o (5,1),λ β (5,1)λ α (5,1) (17)
step C2. according to equations (11) to (17), the following is obtained:
T(j 1 ,μ)=W×[λ α (j 1 ,μ) λ β (j 1 ,μ) λ γ (j 1 ,μ) λ δ (j 1 ,μ) λ ε (j 1 ,μ) λ ξ (j 1 ,μ) λ o (j 1 ,μ)] (18)
and the above formula (18) is expanded as follows, and then the process proceeds to step C3;
get j 1 When 1, mu m =24,μ=1,2,…,23,24;
When μ ═ 1,2,3, 4; j is a function of 2 =μ;T(j 1 ,μ)=W oβα (j 1 ,μ);λ o (j 1 ,μ),λ β (j 1 ,μ),λ α (j 1 ,μ);
When mu is 5,6,7, 8; j is a function of 2 =μ-4;T(j 1 ,μ)=W oγβ (j 1 ,μ-4);λ o (j 1 ,μ-4),λ γ (j 1 ,μ-4),λ β (j 1 ,μ-4);
When mu is 9,10,11, 12; j is a function of 2 =μ-8;T(j 1 ,μ)=W oδγ (j 1 ,μ-8);λ O (j 1 ,μ-8),λ δ (j 1 ,μ-8),λ γ (j 1 ,μ-8);
When mu is 13,14,15, 16; j is a function of 2 =μ-12;T(j 1 ,μ)=W oεδ (j 1 ,μ-12);λ o (j 1 ,μ-12),λ ε (j 1 ,μ-12),λ δ (j 1 ,μ-12);
When mu is 17,18,19, 20; j is a function of 2 =μ-16;T(j 1 ,μ)=W oζε (j 1 ,μ-16);λ o (j 1 ,μ-16),λ ζ (j 1 ,μ-16),λ ε (j 1 ,μ-16);
When mu is 21,22,23, 24; j is a function of 2 =μ-20;T(j 1 ,μ)=W oαζ (j 1 ,μ-20);λ o (j 1 ,μ-20),λ α (j 1 ,μ-20),λ ζ (j 1 ,μ-20);
Get j 1 When 2, mu m =18,μ=1,2,…,17,18;
When μ ═ 1,2, 3; j is a function of 2 =μ;T(j 1 ,μ)=W oβα (j 1 ,μ);λ o (j 1 ,μ),λ β (j 1 ,μ),λ α (j 1 ,μ);
When mu is 4,5, 6; j is a function of 2 =μ-3;T(j 1 ,μ)=W oγβ (j 1 ,μ-3);λ o (j 1 ,μ-3),λ γ (j 1 ,μ-3),λ β (j 1 ,μ-3);
When mu is 7,8, 9; j is a function of 2 =μ-6;T(j 1 ,μ)=W oδγ (j 1 ,μ-6);λ O (j 1 ,μ-6),λ δ (j 1 ,μ-6),λ γ (j 1 ,μ-6);
When mu is 10,11, 12; j is a function of 2 =μ-9;T(j 1 ,μ)=W oεδ (j 1 ,μ-9);λ o (j 1 ,μ-9),λ ε (j 1 ,μ-9),λ δ (j 1 ,μ-9);
When mu is 13,14, 15; j is a function of 2 =μ-12;T(j 1 ,μ)=W oζε (j 1 ,μ-12);λ o (j 1 ,μ-12),λ ζ (j 1 ,μ-12),λ ε (j 1 ,μ-12);
When mu is 16,17, 18; j is a function of 2 =μ-15;T(j 1 ,μ)=W oαζ (j 1 ,μ-15);λ o (j 1 ,μ-15),λ α (j 1 ,μ-15),λ ζ (j 1 ,μ-15);
Get j 1 When equal to 3, mu m =12,μ=1,2,…,11,12;
When mu is 1, 2; j is a function of 2 =μ;T(j 1 ,μ)=W oβα (j 1 ,μ);λ o (j 1 ,μ),λ β (j 1 ,μ),λ α (j 1 ,μ);
When mu is 3, 4; j is a function of 2 =μ-2;T(j 1 ,μ)=W oγβ (j 1 ,μ-2);λ o (j 1 ,μ-2),λ γ (j 1 ,μ-2),λ β (j 1 ,μ-2);
When mu is 5, 6; j is a function of 2 =μ-4;T(j 1 ,μ)=W oδγ (j 1 ,μ-4);λ O (j 1 ,μ-4),λ δ (j 1 ,μ-4),λ γ (j 1 ,μ-4);
When mu is 7, 8; j is a function of 2 =μ-6;T(j 1 ,μ)=W oεδ (j 1 ,μ-6);λ o (j 1 ,μ-6),λ ε (j 1 ,μ-6),λ δ (j 1 ,μ-6);
When mu is 9, 10; j is a function of 2 =μ-8;T(j 1 ,μ)=W oζε (j 1 ,μ-8);λ o (j 1 ,μ-8),λ ζ (j 1 ,μ-8),λ ε (j 1 ,μ-8);
When mu is 11, 12; j is a function of 2 =μ-10;T(j 1 ,μ)=W oαζ (j 1 ,μ-10);λ o (j 1 ,μ-10),λ α (j 1 ,μ-10),λ ζ (j 1 ,μ-10);
Get j 1 When equal to 4, mu m =6,μ=1,2,…,5,6;
When mu is 1; j is a function of 2 =μ;T(j 1 ,μ)=W oβα (j 1 ,μ);λ o (j 1 ,μ),λ β (j 1 ,μ),λ α (j 1 ,μ);
When mu is 2; j is a unit of a group 2 =μ-1;T(j 1 ,μ)=W oγβ (j 1 ,μ-1);λ o (j 1 ,μ-1),λ γ (j 1 ,μ-1),λ β (j 1 ,μ-1);
When mu is 3; j is a function of 2 =μ-2;T(j 1 ,μ)=W oδγ (j 1 ,μ-2);λ O (j 1 ,μ-2),λ δ (j 1 ,μ-2),λ γ (j 1 ,μ-2);
When mu is 4; j is a function of 2 =μ-3;T(j 1 ,μ)=W oεδ (j 1 ,μ-3);λ o (j 1 ,μ-3),λ ε (j 1 ,μ-3),λ δ (j 1 ,μ-3);
When mu is 5; j is a unit of a group 2 =μ-4;T(j 1 ,μ)=W oζε (j 1 ,μ-4);λ o (j 1 ,μ-4),λ ζ (j 1 ,μ-4),λ ε (j 1 ,μ-4);
When mu is 6; j is a unit of a group 2 =μ-5;T(j 1 ,μ)=W oαζ (j 1 ,μ-5);λ o (j 1 ,μ-5),λ α (j 1 ,μ-5),λ ζ (j 1 ,μ-5);
Get j 1 When equal to 5, mu m =1,μ=1;
When mu is 1, j 2 =1,T(j 1 ,μ)=W oβα (5,1),λ o (5,1),λ β (5,1)λ α (5,1);
Step C3. sets the mixing ratio of the seven primary color fibers α, β, γ, δ, ε, ζ, O in the mixed sample as follows:
[λ(j 1 ,δ)]=[λ α (j 1 ,μ) λ β (j 1 ,μ) λ γ (j 1 ,μ) λ δ (j 1 ,μ) λ ε (j 1 ,μ) λ ξ (j 1 ,μ) λ o (j 1 ,μ)] T (19)
according to formula (11), when μ ═ 1,2 m /6,μ+j 1 When the number is less than or equal to 6, lambda o (j 1 ,μ)=(j 1 -1)/4,λ β (j 1 ,μ)=(μ-1)/4,λ α (j 1 ,μ)=(6-j 1 - μ)/4, then:
[λ(j 1 ,μ)]=[(6-j 1 -μ)/4 (μ-1)/4 0 0 0 0 (j 1 -1)/4] T (20)
according to formula (12), when μ ═ μ m /6+1),(μ m /6+2),…,(2μ m /6),μ+2j 1 When the number is less than or equal to 11, lambda o (j 1 ,μ)=(j 1 -1)/4,λ γ (j 1 ,μ)=(j 1 +μ-6)/4,λ β (j 1 ,μ)=(-2j 1 - μ +11)/4, then:
[λ(j 1 ,μ)]=[0 (-2j 1 -μ+11)/4 (j 1 +μ-6)/4 0 0 0 (j 1 -1)/4] T (21)
according to formula (13), when μ ═ 2 μ m /6+1),(2μ m /6+2),…,(3μ m /6),μ+3j 1 When the number is less than or equal to 16, lambda o (j 1 ,μ)=(j 1 -1)/4,λ δ (j 1 ,j 2 )=(2j 1 +μ-11)/4,λ γ (j 1 ,j 2 )=(-3j 1 - μ +16)/4, then:
[λ(j 1 ,μ)]=[0 0 (-3j 1 -μ+16)/4 (2j 1 +μ-11)/4 0 0 (j 1 -1)/4] T (22)
according to formula (14), when μ ═ 3 μ m /6+1),(3μ m /6+2),…,(4μ m /6),μ+4j 1 When the number is less than or equal to 21, lambda o (j 1 ,μ)=(j 1 -1)/4,λ ε (j 1 ,j 2 )=(3j 1 +μ-16)/4,λ δ (j 1 ,j 2 )=(-4j 1 - μ +21)/4, then:
[λ(j 1 ,μ)]=[0 0 0 (-4j 1 -μ+21)/4 (3j 1 +μ-16)/4 0 (j 1 -1)/4] T (23)
according to formula (15), when μ ═ 4 μ m /6+1),(4μ m /6+2),…,(5μ m /6),μ+5j 1 When the ratio is less than or equal to 26, lambda o (j 1 ,μ)=(j 1 -1)/4,λ ζ (j 1 ,j 2 )=(4j 1 +μ-21)/4,λ ε (j 1 ,j 2 )=(-5j 1 - μ +26)/4, then:
[λ(j 1 ,μ)]=[0 0 0 0 (-5j 1 -μ+26)/4 (4j 1 +μ-21)/4 (j 1 -1)/4] T (24)
according to formula (16), when μ ═ 5 μ m /6+1),(5μ m /6+2),…,(μ m ),μ+6j 1 When the number is less than or equal to 31, lambda o (j 1 ,μ)=(j 1 -1)/4,λ α (j 1 ,j 2 )=(5j 1 +μ-26)/4,λ ζ (j 1 ,j 2 )=(-6j 1 - μ +31)/4, then:
[λ(j 1 ,μ)]=[(5j 1 +μ-26)/4 0 0 0 0 (-6j 1 -μ+31)/4 (j 1 -1)/4] T (25)
then the quality of each subsample of the panchromatic domain color mixing model is as follows:
Figure FDA0003603287260000051
blending ratio [ lambda (j) of full color gamut gridding mixed color model subsample 1 ,μ)]Comprises the following steps:
λ(j 1 ,μ)=[λ α (j 1 ,μ) λ β (j 1 ,μ) λ γ (j 1 ,μ) λ δ (j 1 ,μ) λ ε (j 1 ,μ) λ ζ (j 1 ,μ) λ o (j 1 ,μ)] T (27)
wherein when j 1 1,2,3,4,. mu. m =6×(5-j 1 ),μ=1,2,……,μ m (ii) a When j is 1 When equal to 5, mu is equal to mu m =1,j 2 =1;
Let each subsample color be C (j) 1 ,δ)=[C r (j 1 ,δ) C g (j 1 ,δ) C b (j 1 ,δ)] T And then:
Figure FDA0003603287260000052
then proceed to step C4;
step C4.(1) when j is 1 1,2, …,23, 24;
[T(1,μ)] 1×24 =[T(1,1) T(1,2)…T(1,8) T(1,9)…T(1,16) T(1,17)…T(1,23) T(1,24)] (29)
(2) when j is on 1 2, let μ be 1,2, …, 18;
[T(2,μ)] 1×18 =[T(2,1) T(2,2)…T(2,7) C(2,8)…T(2,14) C(2,15)…T(2,17) T(2,18)] (30)
(3) when j is 1 3, let μ be 1,2, …, 12;
[T(3,μ)] 1×12 =[T(3,1) T(3,2)…T(3,10) T(3,11) T(3,12)] (31)
(4) when j is 1 4, let μ be 1,2, …, 6;
[T(4,μ)] 1×6 =[T(4,1) T(4,2) … T(4,5)T(4,6)] (32)
(5) when j is 1 5, and μ 1;
[T(5,μ)] 1×1 =[T(5,1)] (33)
then proceed to step C5;
step C5. obtains the quality matrix of the full-gamut gridding color mixing model based on equations (29) to (33) as follows:
Figure FDA0003603287260000061
and further obtaining a mixing ratio matrix of the full-color-domain gridding color mixing model as follows:
Figure FDA0003603287260000062
the color matrix of the panchromatic domain gridding color mixing model is obtained as follows:
Figure FDA0003603287260000063
and D, constructing a full-color-domain gridding chromatogram corresponding to the seven primary colors according to the color matrix of the full-color-domain gridding color mixing model, and then entering the step D.
4. The seven-primary color fiber full-gamut color mixing mode and annular gridding color matching model construction method according to claim 3, wherein the step D comprises the following steps D1-D2;
d1, aiming at the full-color-gamut gridding color spectrum, constructing a full-color-gamut gridding annular color model corresponding to the seven primary colors in a manner of twisting into concentric circles, and then entering the step D2;
step D2., obtaining the polar coordinates of each grid point position in the panchromatic-domain gridding annular color model according to the following formula: polar angle θ (j) 1 μ), polar radius ρ (j) 1 );
First, when j 1 When the ratio is 1,2,3,4,
Figure FDA0003603287260000064
forthright the bone 1 When the number is equal to 5, the alloy is put into a container,
Figure FDA0003603287260000065
5. the method for spinning the colored yarns based on the seven-primary-color fiber full-color-gamut color mixing mode and the annular gridding color matching model, which are constructed by any one of claims 1 to 4, is characterized in that: based on a three-channel color-mixing numerical control spinning system,three rear rollers, a middle roller, a front roller and a ring rail are respectively and correspondingly controlled by servo drivers through servo motors, and digital spinning is respectively carried out on three fibers corresponding to the ternary color mixture combination according to six ternary color mixture combinations formed by seven primary color fibers alpha, beta, gamma, delta, epsilon, zeta and O according to a full-color-domain gridding annular color model corresponding to the seven primary colors; wherein is based on j 1 When 1,2,3,4,. mu. m =6×(5-j 1 ),μ=1,2,……,μ m (ii) a And j 1 When equal to 5, mu is equal to mu m =1,j 2 1 is ═ 1; setting three fibers fed into a three-channel color-mixing numerical control spinning system as o, X and Z respectively;
when mu is 1 to mu m When the fiber is/6, feeding three fibers o, X and Z of the three-channel color-mixing numerical control spinning system into the three-channel color-mixing numerical control spinning system, wherein the three fibers o, X and Z are respectively o, beta and alpha;
when mu is mu m /6~2μ m When the fiber is/6, feeding three fibers o, X and Z of the three-channel color-mixing numerical control spinning system into the three-channel color-mixing numerical control spinning system, wherein the three fibers o, X and Z are respectively o, gamma and beta;
when mu is 2 mu m /6~3μ m When the fiber is/6, feeding three fibers o, X and Z of the three-channel color-mixing numerical control spinning system into the three-channel color-mixing numerical control spinning system, wherein the three fibers o, X and Z are respectively o, delta and gamma;
when mu is 3 mu m /6~4μ m When the fiber is/6, feeding three fibers o, X and Z of the three-channel color-mixing numerical control spinning system into the three-channel color-mixing numerical control spinning system, wherein the three fibers o, X and Z are respectively o, epsilon and delta;
when mu is 4 mu m /6~5μ m When the fiber is/6, feeding three fibers o, X and Z of the three-channel color-mixing numerical control spinning system into the three-channel color-mixing numerical control spinning system, wherein the three fibers o, X and Z are respectively o, zeta and epsilon;
when mu is 5 mu m /6~μ m Feeding three fibers o, X and Z of a three-channel color-mixing numerical control spinning system into the system to be respectively o, zeta and alpha;
based on the linear velocity V of the front roller of the drafting channel q (j 1 Mu), linear velocity V of three back rollers ho (j 1 ,μ),V hX (j 1 ,μ),V hZ (j 1 μ), draw ratio of three channels E o (j 1 ,μ),E X (j 1 ,μ),E Z (j 1 Mu) of three fiber densities after drawing ρ' o (j 1 ,μ),ρ' X (j 1 ,μ),ρ' Z (j 1 Mu) the blend ratio of the individual fibers in the finished yarn is lambda o (j 1 ,μ),λ X (j 1 ,μ),λ Z (j 1 ,μ);
The three channel draw ratio is as follows:
Figure FDA0003603287260000071
let ρ be o =ρ X =ρ Z Then, the above equation is simplified as:
Figure FDA0003603287260000072
wherein, μ ═ 1,3,. ·,21, 24; j is a function of 1 =1,2,3,4,5;μ≥j 1
Three fibers o, X and Z corresponding to the ternary color mixture combination are respectively fed into the back roller based on three independent drives, and then the fibers are converged at the jaw of the front roller and enter a twisting mechanism for twisting to form the linear density rho of the three-channel color mixture yarn y Comprises the following steps:
Figure FDA0003603287260000081
and the three fibers obtained by asynchronous drafting are combined and twisted to form a yarn, and the blending ratio lambda of each fiber o, X and Z in the yarn o (j 1 ,μ),λ X (j 1 ,μ),λ Z (j 1 μ) is:
Figure FDA0003603287260000082
wherein λ is o (j 1 ,μ)+λ X (j 1 ,μ)+λ Z (j 1 ,μ)=1,μ=1,3,...,21,24;j 1 =1,2,3,4,5;μ≥j 1
The resultant yarn color C is determined by the color value of each fiber and the blending ratio thereof based on the resultant yarn color y (j 1 ,μ)=(C r ,C g ,C b ) T The following were used:
Figure FDA0003603287260000083
or:
Figure FDA0003603287260000084
then, based on the full-color-domain gridding annular color model corresponding to the seven primary colors, the full-color-domain color matrix obtained by digital spinning is as follows:
Figure FDA0003603287260000085
6. the method for spinning color yarns according to the seven-primary-color fiber full-color-gamut color mixing mode and the annular gridding color matching model, which are constructed by the method, is characterized in that: in the digital spinning according to the full-color domain gridding annular color model corresponding to the seven primary colors and aiming at the three fibers corresponding to the ternary color mixture combination, the yarn forming color is C y (C r (j 1 ,μ),C g (j 1 ,μ),C b (j 1 Mu)) and combining a full-color-domain gridding annular color model corresponding to the seven primary colors, wherein the yarn forming color is determined by the color value of each fiber and the blending ratio thereof, then:
Figure FDA0003603287260000086
wherein when j 1 1,2,3,4,. mu. m =6×(5-j 1 ),μ=1,2,……,μ m (ii) a When j is 1 When equal to 5, mu is equal to mu m =1,j 2 =1;
The blend ratio matrix is then as follows:
Figure FDA0003603287260000091
based on the fiber color mixing ratio, three fiber o, X and Z draft ratios are obtained as follows:
Figure FDA0003603287260000092
wherein, if o =ρ X =ρ Z Then, then
Figure FDA0003603287260000093
The draft ratio is updated according to the mix ratio matrix as follows:
Figure FDA0003603287260000094
7. the method for spinning color yarns according to the seven-primary-color fiber full-color-gamut color mixing mode and the annular gridding color matching model, which are constructed by the method, is characterized in that: the numerical control spinning system based on three-channel color mixing carries out digital spinning on three fibers corresponding to each ternary color mixing combination according to a panchromatic domain gridding annular color model corresponding to seven primary colors, wherein the spinning comprises spinning of color yarns with invariable chroma and changed hue, and according to a formula (45) and the panchromatic domain gridding color spectrum corresponding to the seven primary colors, color values of 4 series of color yarns with invariable chroma and changed hue are respectively as follows:
color values of color yarns with unchanged chroma and changed hue in the 1 st series: [ C (1,1), C (1,2),.., C (1,23), C (1,24) ];
color values of 2 nd series color yarns with unchanged chroma and changed hue: [ C (2,1), C (2,2),.., C (2,17), C (2,18) ];
color values of the 3 rd series color yarns with unchanged chroma and changed hue: [ C (3,1), C (3,2),.., C (3,11), C (3,12) ];
color values of the 4 th series of color yarns with unchanged chroma and changed hue: [ C (4,1), C (4,2),.., C (4,5), C (4,6) ];
according to the formula (47) and the full-color domain gridding chromatogram corresponding to the seven primary colors, the blending ratios of the 4 series of color yarns with unchanged chroma and changed hue are respectively as follows:
the 1 st series color yarn mixing ratio with unchanged chroma and changed hue is as follows: [ λ (1,1), λ (1,2),.., λ (1,23), λ (1,24) ];
the 2 nd series color yarn mixing ratio with unchanged chroma and changed hue is as follows: [ λ (2,1), λ (2,2),.., λ (2,17), λ (2,18) ];
the 3 rd series color yarn mixing ratio with unchanged chroma and changed hue is as follows: [ λ (3,1), λ (3,2),.., λ (3,11), λ (3,12) ];
color values of the 4 th series of color yarns with unchanged chroma and changed hue: [ λ (4,1), λ (4,2),.., λ (4,5), λ (4,6) ];
according to the formula (50) and the full-color domain gridding chromatogram corresponding to the seven primary colors, the draft ratios of the 4 series of color yarns with unchanged chroma and changed hue are respectively as follows:
the draft ratio of the 1 st series color yarn with unchanged chroma and changed hue is as follows: [ E (1,1), E (1,2),.., E (1,23), E (1,24) ];
2 nd series color yarn draft ratio with unchanged chroma and changed hue: [ E (2,1), E (2,2),.., E (2,17), E (2,18) ];
the 3 rd series color yarn draft ratio with unchanged chroma and changed hue is as follows: [ E (3,1), E (3,2),.., E (3,11), E (3,12) ];
the 4 th series of color yarns with unchanged chroma and changed hue have the following draft values: [ E (4,1), E (4,2),.., E (4,5), E (4,6) ];
namely, based on the design of the spinning process parameters, 4 series of colored yarns with unchanged chroma and changed hue corresponding to the yarns are spun in the full color gamut chromatographic range.
8. The method for spinning color yarns according to the seven-primary-color fiber full-color-gamut color mixing mode and the annular gridding color matching model, which are constructed by the method, is characterized in that: the three-channel color-mixing numerical control spinning system respectively performs digital spinning on three fibers corresponding to each ternary color-mixing combination according to a full-color-domain gridding annular color model corresponding to seven primary colors, wherein the spinning comprises spinning of color yarns with unchanged hue and changed lightness, and color values of the color yarns with unchanged hue and changed lightness corresponding to the six ternary color-mixing combinations are respectively as follows according to a formula (45) and the full-color-domain gridding color spectrum corresponding to the seven primary colors:
the color values of the color yarns with unchanged hue and changed lightness corresponding to the 1 st ternary color mixing combination are as follows: [ C (5,1), C (4,1), C (3,1), C (2,1), C (1,1) ];
the color values of the color yarns with unchanged hue and changed lightness corresponding to the 2 nd ternary color mixing combination are as follows: [ C (5,1), C (4,2), C (3,3), C (2,4), C (1,5) ];
color values of color yarns with unchanged hue and changed lightness corresponding to the 3 rd ternary color mixing combination are as follows: [ C (5,1), C (4,3), C (3,5), C (2,7), C (1,9) ];
color values of color yarns with unchanged hue and changed lightness corresponding to the 4 th ternary color mixing combination are as follows: [ C (5,1), C (4,4), C (3,7), C (2,10), C (1,13) ];
the 5 th ternary color mixture combination corresponds to color values of color yarns with unchanged hue and changed lightness: [ C (5,1), C (4,5), C (3,9), C (2,13), C (1,17) ];
the 6 th ternary color mixture combination corresponds to color values of color yarns with unchanged hue and changed lightness: [ C (5,1), C (4,6), C (3,11), C (2,16), C (1,21) ];
according to the formula (47) and the full color gamut gridding chromatogram corresponding to the seven primary colors, the color yarn color mixing ratios of the unchanged hue and the changed lightness corresponding to the six ternary color mixing combinations are respectively as follows:
the color mixing ratio of the color yarns with unchanged hue and changed lightness corresponding to the 1 st ternary color mixing combination is as follows: [ λ (5,1), λ (4,1), λ (3,1), λ (2,1), λ (1,1) ];
the color mixing ratio of the color yarns with unchanged hue and changed lightness corresponding to the 2 nd ternary color mixing combination is as follows: [ λ (5,1), λ (4,2), λ (3,3), λ (2,4), λ (1,5) ];
the color mixing ratio of the color yarns with unchanged hue and changed lightness corresponding to the 3 rd ternary color mixing combination is as follows: [ λ (5,1), λ (4,3), λ (3,5), λ (2,7), λ (1,9) ];
the color mixing ratio of the color yarns with unchanged hue and changed lightness corresponding to the 4 th ternary color mixing combination is as follows: [ λ (5,1), λ (4,4), λ (3,7), λ (2,10), λ (1,13) ];
the 5 th ternary color mixture combination corresponds to the color yarn mixture ratio with unchanged hue and changed lightness: [ λ (5,1), λ (4,5), λ (3,9), λ (2,13), λ (1,17) ];
the 6 th ternary color mixture combination corresponds to the color yarn mixture ratio with unchanged hue and changed lightness: [ λ (5,1), λ (4,6), λ (3,11), λ (2,16), λ (1,21) ];
according to the formula (50) and the full color gamut gridding chromatogram corresponding to the seven primary colors, the draft ratios of the color yarns with unchanged hue and changed lightness corresponding to the six ternary color mixture combinations are respectively as follows:
the 1 st ternary color mixture combination corresponds to the color yarn draft ratio with unchanged hue and changed lightness: [ E (5,1), E (4,1), E (3,1), E (2,1), E (1,1) ];
the 2 nd ternary color mixture combination corresponds to the color yarn draft ratio with unchanged hue and changed lightness: [ E (5,1), E (4,2), E (3,3), E (2,4), E (1,5) ];
the 3 rd ternary color mixture combination corresponds to the color yarn draft ratio with unchanged hue and changed lightness: [ E (5,1), E (4,3), E (3,5), E (2,7), E (1,9) ];
the 4 th ternary color mixture combination corresponds to the color yarn draft ratio with unchanged hue and changed lightness: [ E (5,1), E (4,4), E (3,7), E (2,10), E (1,13) ];
the 5 th ternary color mixture combination corresponds to the color yarn draft ratio with unchanged hue and changed lightness: [ E (5,1), E (4,5), E (3,9), E (2,13), E (1,17) ];
the 6 th ternary color mixture combination corresponds to the color yarn draft ratio with unchanged hue and changed lightness: [ E (5,1), E (4,6), E (3,11), E (2,16), E (1,21) ];
based on the design of the spinning process parameters, the colored yarns with unchanged hue and changed lightness corresponding to the six ternary color mixing combinations are spun in the full color gamut chromatographic range.
9. The method for spinning color yarns according to the seven-primary-color fiber full-color-gamut color mixing mode and the annular gridding color matching model, which are constructed by the method, is characterized in that: the three-channel color-mixing-based numerical control spinning system respectively performs digital spinning on three fibers corresponding to each ternary color-mixing combination according to a full-color-domain gridding annular color model corresponding to seven primary colors, wherein the spinning of color yarns with hue change and chroma change comprises the following steps of, according to a formula (45) and a full-color-domain gridding color spectrum corresponding to the seven primary colors, respectively:
the color value of the color yarn with unchanged hue and changed chroma corresponding to the 1 st ternary color mixing combination is as follows: [ C (5,1), C (4,1), C (2,2), C (1,3) ];
the color value of the color yarn with unchanged hue and changed chroma corresponding to the 2 nd ternary color mixing combination is as follows: [ C (5,1), C (4,2), C (2,5), C (1,7) ];
the color value of the color yarn with unchanged hue and changed chroma corresponding to the 3 rd ternary color mixing combination is as follows: [ C (5,1), C (4,3), C (2,8), C (1,11) ];
color values of color yarns with unchanged hue and changed chroma corresponding to the 4 th ternary color mixing combination are as follows: [ C (5,1), C (4,4), C (2,11), C (1,15) ];
the color value of the color yarn with unchanged hue and changed chroma corresponding to the 5 th ternary color mixing combination is as follows: [ C (5,1), C (4,5), C (2,14), C (1,19) ];
the 6 th ternary color mixture combination corresponds to color values of color yarns with unchanged hue and changed chroma: [ C (5,1), C (4,6), C (2,17), C (1,23) ];
according to the formula (47) and the full color gamut gridding chromatogram corresponding to the seven primary colors, the color yarn color mixing ratios of the unchanged hue and the changed chroma corresponding to the six ternary color mixing combinations are respectively as follows:
the color mixing ratio of the color yarn with unchanged hue and changed chroma corresponding to the 1 st ternary color mixing combination is as follows: [ λ (5,1), λ (4,1), λ (2,2), λ (1,3) ];
the color mixing ratio of the color yarn with unchanged hue and changed chroma corresponding to the 2 nd ternary color mixing combination is as follows: [ λ (5,1), λ (4,2), λ (2,5), λ (1,7) ];
the color mixing ratio of the color yarn with unchanged hue and changed chroma corresponding to the 3 rd ternary color mixing combination is as follows: [ λ (5,1), λ (4,3), λ (2,8), λ (1,11) ];
the color mixing ratio of the color yarn with unchanged hue and changed chroma corresponding to the 4 th ternary color mixing combination is as follows: [ λ (5,1), λ (4,4), λ (2,11), λ (1,15) ];
the 5 th ternary color mixing combination corresponds to the color mixing ratio of the color yarn with unchanged hue and changed chroma: [ λ (5,1), λ (4,5), λ (2,14), λ (1,19) ];
the 6 th ternary color mixing combination corresponds to the color mixing ratio of the color yarn with unchanged hue and changed chroma: [ λ (5,1), λ (4,6), λ (2,17), λ (1,23) ];
according to the formula (50) and the full color gamut gridding chromatogram corresponding to the seven primary colors, the draft ratios of the color yarns with unchanged hue and changed chroma corresponding to the six ternary color mixture combinations are respectively as follows:
the 1 st ternary color mixture combination corresponds to the color yarn draft ratio with unchanged hue and changed chroma: [ E (5,1), E (4,1), E (2,2), E (1,3) ];
the 2 nd ternary color mixture combination corresponds to the color yarn draft ratio with unchanged hue and changed chroma: [ E (5,1), E (4,2), E (2,5), E (1,7) ];
the 3 rd ternary color mixture combination corresponds to the color yarn draft ratio with unchanged hue and changed chroma: [ E (5,1), E (4,3), E (2,8), E (1,11) ];
the 4 th ternary color mixture combination corresponds to the color yarn draft ratio with unchanged hue and changed chroma: [ E (5,1), E (4,4), E (2,11), E (1,15) ];
the 5 th ternary color mixture combination corresponds to the color yarn draft ratio with unchanged hue and changed chroma: [ E (5,1), E (4,5), E (2,14), E (1,19) ];
the 6 th ternary color mixture combination corresponds to the color yarn draft ratio with unchanged hue and changed chroma: [ E (5,1), E (4,6), E (2,17), E (1,23) ];
based on the design of the spinning process parameters, the colored yarns with unchanged hue and changed chroma corresponding to the six ternary color mixing combinations are spun in the full color gamut chromatographic range.
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