CN114820848B - Seven-primary-color fiber full-color-gamut color mixing mode and annular gridding color matching model construction method - Google Patents

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

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CN114820848B
CN114820848B CN202210409906.3A CN202210409906A CN114820848B CN 114820848 B CN114820848 B CN 114820848B CN 202210409906 A CN202210409906 A CN 202210409906A CN 114820848 B CN114820848 B CN 114820848B
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CN114820848A (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 ring-shaped gridding color matching model construction, wherein six color fibers and gray fibers with the same mass are firstly used for forming seven-primary-color fibers; then, a gridding discrete configuration mode is applied, and pyramid gridding models of all three-element coupling color mixing quality are constructed aiming at coupling color mixing of two-element color fibers and gray fibers under six three-element color mixing combinations; then splicing the same rows of models to form full-color domain gridding chromatograph corresponding to seven primary colors; finally, constructing a full-color domain gridding annular color model corresponding to the seven primary colors in a mode of twisting into concentric circles; and further designing a color yarn spinning method, based on a three-channel color mixing numerical control spinning system, according to a full-color domain gridding annular color model corresponding to the seven primary colors, performing digital spinning on three color fibers under each three-color mixing combination to realize the spinning of the full-color domain color yarn corresponding to the seven primary colors, thereby being capable of efficiently realizing digital spinning and improving the spinning color precision.

Description

Seven-primary-color fiber full-color-gamut color mixing mode and annular gridding color matching model construction method
Technical Field
The invention relates to a seven-primary-color fiber full-color-gamut color mixing mode, a circular gridding color matching model construction method and a color yarn spinning method, and belongs to the technical field of spinning.
Background
In the existing spinning process flow, the colored spun yarn or the colored yarn is spun by means of hand blending, piecing blending, cotton bag blending, drawing blending, roving blending, spun yarn blending and the like, wherein the fibers with different colors are preferably selected from dyed fibers, stock solution dyed fibers or natural colored fibers as primary color fibers.
The color matching design of the color fiber and the color innovation of the yarn are one of key technologies in the color spinning production process, and a three-primary color matching method or a main color and auxiliary color matching method is generally adopted. The existing color spinning production flow has the following problems: firstly, the fiber dyeing color matching and the color yarn spinning are mutually disjointed; secondly, point-to-point fragmented manual color matching is mainly adopted; thirdly, color reduction based on three primary colors is not rich enough; fourth, there is no theory and method for uniformly controlling hue, brightness and chroma. As the traditional color matching relies on the experience of operators to grasp the hue, lightness and chroma of the color, the color matching result is greatly influenced by the subjective influence of people, and the current situations of weak color matching accuracy, low color matching efficiency, long color matching period and the like are caused.
Because the color is a vector composed of three dimensions of hue, brightness and chroma, a seven-primary color matching method of adding one gray primary color to six-primary colors needs to be developed in order to meet the richness of color restoration and the requirement of multi-level color brightness and chroma; in order to improve color matching accuracy, development of an algorithm-based computer automatic color matching technology is required.
Disclosure of Invention
The invention aims to solve the technical problems of providing a full-color-gamut color mixing mode of seven-primary-color fibers and a construction of a ring-shaped gridding color matching model, six color fibers and one gray fiber are used as primary-color fibers, a gridding discrete configuration mode is applied, and the three-element coupling color mixing of two color fibers and one gray fiber is used for constructing and obtaining the full-color-gamut gridding ring-shaped color model, 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 ring-shaped gridding color matching model construction, which comprises the following steps:
step A, forming seven primary color fibers based on six color fibers with the same mass and 60 degrees of hue difference and gray fibers with the same mass, and then entering step B;
Step B, based on the 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 ternary coupling color mixing quality pyramid gridding models with gray top grids corresponding to the ternary color mixing combinations and two colorful pyramid gridding models corresponding to the two bottom grids corresponding to the ternary color mixing combinations, and then entering the step C;
step C, aiming at the pyramid gridding models of the ternary coupling color mixing quality corresponding to the ternary color mixing combinations respectively, splicing the same rows among the models in a mode that the same rows among the models are reserved in the same grids at the head and the tail, so as to form full-color domain gridding color spectrum corresponding to seven primary colors, and then entering the step D;
and D, constructing a full-color-domain gridding annular color model corresponding to the seven primary colors according to the mode of twisting the full-color-domain gridding chromatograph into concentric circles.
The invention also solves the technical problems of providing a color yarn spinning method constructed by a full-color-gamut color-mixing mode of seven-primary-color fibers and a ring-shaped gridding color-mixing model, executing digital spinning of the three-color-mixing combined fibers aiming at six three-color-mixing combinations formed by the seven-primary-color fibers based on a three-channel color-mixing numerical control spinning system, realizing spinning of the corresponding full-color-gamut color yarns, and obtaining high-precision spinning.
The invention adopts the following technical scheme for solving the technical problems: the invention designs a color yarn spinning method constructed by a full-color gamut color mixing mode of seven-primary-color fibers and a ring-shaped gridding color matching model, which is based on a three-channel color mixing numerical control spinning system, combines three back rollers, a middle roller, a front roller and a ring plate which are respectively in one-to-one correspondence based on the control of a servo driver through a servo motor, and respectively carries out digital spinning on three kinds of fibers corresponding to the three kinds of color mixing combinations according to the six kinds of ternary color mixing combinations formed by the seven-primary-color fibers alpha, beta, gamma, delta, epsilon, zeta and o according to the gridding ring-shaped color model of the full-color gamut corresponding to the seven primary colors; wherein j is based on 1 When=1, 2,3,4, μ m =6×(5-j 1 ),μ=1,2,……,μ m The method comprises the steps of carrying out a first treatment on the surface of the J 1 When=5, μ=μ m =1,j 2 =1; three fibers fed into the three-way color mixing numerical control spinning system are respectively O, X and Z;
when μ=1 to μ m When in step (6), three fibers O, X and Z of the three-channel color mixing numerical control spinning system are respectively O, beta and alpha;
when μ=μ m /6~2μ m When in step (6), three fibers O, X and Z of the three-channel color mixing numerical control spinning system are respectively O, gamma and beta;
when μ=2μ m /6~3μ m When in step (6), three fibers O, X and Z of the three-channel color mixing numerical control spinning system are respectively O, delta and gamma;
When μ=3μ m /6~4μ m When in step (6), three fibers O, X and Z of the three-channel color mixing numerical control spinning system are respectively O, epsilon and delta;
when μ=4μ m /6~5μ m At the time of/6, three fibers O, X and Z of the three-channel color mixing numerical control spinning system are fed respectivelyO, ζ, ε;
when μ=5μ m /6~μ m When the yarn is fed into three fibers O, X and Z of a three-way color mixing numerical control spinning system, wherein O, zeta and alpha are respectively;
front roller linear velocity V based on drafting channel q (j 1 μ), three rear rollers have a linear velocity V hO (j 1 ,μ),V hX (j 1 ,μ),V hZ (j 1 μ), three channel draft ratio E O (j 1 ,μ),E X (j 1 ,μ),E Z (j 1 μ), three fiber densities ρ 'after drafting' O (j 1 ,μ),ρ' X (j 1 ,μ),ρ' Z (j 1 Mu) of the blend ratio of the fibers in the resultant yarn is lambda O (j 1 ,μ),λ X (j 1 ,μ),λ Z (j 1 ,μ);
The three channel draft ratio is as follows:
Figure GDA0004266331330000021
let ρ O =ρ X =ρ Z The above formula is simplified as:
Figure GDA0004266331330000031
wherein μ=1, 3, 21,24; j (j) 1 =1,2,3,4,5;μ≥j 1
Wherein three fibers O, X and Z corresponding to the ternary color mixing combination are respectively fed into the back rollers based on three independent driving, and then are converged at the jaw of the front roller and enter a twisting mechanism to twist into the linear density rho of the three-way color mixing yarn formed by twisting y The method comprises the following steps:
Figure GDA0004266331330000032
and wherein the three asynchronously drawn fibers are combined and twisted to form a yarn, each fiberBlending ratio lambda of dimension O, X, Z in finished yarn O (j 1 ,μ),λ X (j 1 ,μ),λ Z (j 1 μ) is:
Figure GDA0004266331330000033
wherein lambda 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
Three-channel melange yarn color C based on the yarn-forming color determined by the color value of each fiber and the blending ratio thereof y (j 1 ,μ)=(C r (j 1 ,μ),C g (j 1 ,μ),C b (j 1 ,μ)) T The following are provided:
Figure GDA0004266331330000034
or:
Figure GDA0004266331330000035
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 GDA0004266331330000036
compared with the prior art, the seven-primary-color fiber full-color-gamut color mixing mode and the annular gridding color matching model construction and color yarn spinning method have the following technical effects:
the invention designs a seven-primary-color fiber full-color-gamut color mixing mode and a ring-shaped gridding color matching model to construct, firstly, six color fibers and gray fibers with the same quality form seven-primary-color fibers; then, a gridding discrete configuration mode is applied, and pyramid gridding models of all three-element coupling color mixing quality are constructed aiming at coupling color mixing of two-element color fibers and gray fibers under six three-element color mixing combinations; then splicing the same rows of models to form full-color domain gridding chromatograph corresponding to seven primary colors; finally, constructing a full-color domain gridding annular color model corresponding to the seven primary colors in a mode of twisting into concentric circles; and further designing a color yarn spinning method, based on a three-channel color mixing numerical control spinning system, according to a full-color domain gridding annular color model corresponding to the seven primary colors, performing digital spinning on three color fibers under each three-color mixing combination to realize the spinning of the full-color domain color yarn corresponding to the seven primary colors, thereby being capable of efficiently realizing digital spinning and improving the spinning color precision.
Drawings
FIG. 1 is a pyramid gridding illustration of ternary coupling color mixing quality corresponding to each ternary color mixing combination in the design of the invention;
FIG. 2 is a pyramid gridding illustration of ternary coupling color mixing quality corresponding to each ternary color mixing combination in the embodiment of the invention;
FIG. 3 is a full-color-domain gridded chromatographic representation of the seven primary colors in the design of the present invention;
FIG. 4 is a full-color-domain gridding chromatographic illustration corresponding to seven primary colors in an embodiment of the invention;
FIG. 5 is a schematic representation of a full-gamut gridded circular color model for seven primary colors in the design of the present invention;
FIG. 6 is a diagram of a full-gamut gridded circular color model corresponding to seven primary colors in an embodiment of the present invention;
FIG. 7 is a full-color-domain gridding chromatographic illustration corresponding to the seven primary colors in example 1 of the present invention;
FIG. 8 is a diagram of a full-gamut gridded circular color model corresponding to the seven primary colors in example 1 of the present invention;
FIG. 9 is a schematic representation of a serialized colored yarn of constant chroma and varying hue in example 1 of the present invention;
FIG. 10 is a serialized color yarn of example 3 of the present invention with unchanged hue brightness;
FIG. 11 is a serialized color yarn of example 4 of the present invention with varying hue and varying chroma.
Detailed Description
The following describes the embodiments of the present invention in further detail with reference to the drawings.
In practical application, the method for constructing the full-color domain gridding chromatograph based on the seven-primary color fiber color-mixed spinning needs to regulate and control colors from three dimensions of hue, brightness and saturation in the processes of color matching, color matching and dyeing of textiles, generally uses two groups of adjacent colors for color mixing to regulate and control hue change, uses one group of colors and one group of achromatic color-mixed colors for regulating and controlling brightness change, and uses more than two groups of adjacent colors and more than one group of achromatic color-mixed colors for regulating and controlling chroma change. In order to obtain a relatively rich regulating and controlling range of hue, brightness and chroma, the invention designs and selects six color fibers (the hue difference is controlled to be about 60 degrees), and selects an achromatic fiber (one of white, gray and black) as a base fiber for color mixing, and in practical application, the invention is implemented according to the following steps A to D.
Step a. Based on six color fibers of the same mass and 60 ° different hue from each other, and gray fibers of the same mass, seven primary color fibers are constituted, and then step B is entered.
In practical application, preferably dyes (reactive dyes, acid dyes, disperse dyes and other applicable dyes), six groups of color dyes with high optimized color yield, pure color and about 60 degrees of hue difference, such as magenta, cyan, yellow, red, green, blue and gray dyes, are dyed by natural fibers or chemical fibers which are subjected to opening, impurity removal, uniform mixing, refining and bleaching, and the optimized dyeing process is used for respectively obtaining six groups of color fibers alpha, beta, gamma, delta, epsilon, zeta and one group of gray (achromatic) sample fibers O with highest color purity as primary color fibers for color mixing, and the weights of the seven groups of primary color fibers are respectively measured to be W 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 with gray fibers to form six ternary color mixing combinations, constructing ternary coupling color mixing quality pyramid gridding models with gray top grids corresponding to the ternary color mixing combinations and two colorful pyramid gridding models corresponding to the two bottom grids corresponding to the ternary color mixing combinations, and then entering the step C.
In application, the above step B is specifically performed as follows steps B1 to B4.
Discretizing the seven-primary-color fibers to obtain seven groups of examples with the general formula:
Figure GDA0004266331330000051
step B1 based on the mass W of the seven primary colors fibers alpha, beta, gamma, delta, epsilon, zeta, o α 、W β 、W γ 、W δ 、W ε 、W ζ 、W o Combining the preset reference discrete number 4 corresponding to the fiber quality, and combining any two color fibers in the seven primary color fibers with gray fibers to form six ternary color mixing combinations, wherein the quality W of the six ternary color mixing combinations is equal to that of the three ternary color mixing 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 ) Wherein j is as follows 1 、j 2 、j 3 =1, 2, 3, 4, 5, and then step B2 is entered.
Figure GDA0004266331330000052
Based on formula (2), when j 1 When=1, pass j 2 ,j 3 Can respectively regulate and control the color mixing sample: w (W) oβα (j 1 ,j 2 ,j 3 ) Realization of C α And C β A change in hue between; w (W) oγβ (j 1 ,j 2 ,j 3 ) Realization of C β And C γ A change in hue between; w (W) oδγ (j 1 ,j 2 ,j 3 ) Realization of C γ And C δ A change in hue between; w (W) oεδ (j 1 ,j 2 ,j 3 ) Realization of C δ And C ε A change in hue between; w (W) oζε (j 1 ,j 2 ,j 3 ) Realization of C ε And C ζ A change in hue between; w (W) oαζ (j 1 ,j 2 ,j 3 ) Realization of C ζ And C α The hue between them changes.
Based on formula (2), when j 2 When=1, pass j 1 ,j 3 Can respectively regulate and control the color mixing sample: w (W) oβα (j 1 ,j 2 ,j 3 ) Realization of C α And C 0 Brightness change between W oγβ (j 1 ,j 2 ,j 3 ) Realization of C β And C 0 Brightness variation between; w (W) oδγ (j 1 ,j 2 ,j 3 ) Realization of C γ And C o Brightness variation between; w (W) oεδ (j 1 ,j 2 ,j 3 ) Realization of C δ And C 0 Brightness change between W oζε (j 1 ,j 2 ,j 3 ) Realization of C ε And C 0 Brightness variation between; w (W) oαζ (j 1 ,j 2 ,j 3 ) Realization of C ζ And C o Brightness change between them.
Based on formula (2), when j 3 When=1, pass j 1 ,j 2 Can respectively regulate and control the color mixing sample: w (W) oβα (j 1 ,j 2 ,j 3 ) Realization of C β And C 0 Brightness change between W oγβ (j 1 ,j 2 ,j 3 ) Realization of C γ And C 0 Brightness variation between; w (W) oδγ (j 1 ,j 2 ,j 3 ) Realization of C δ And C o Brightness variation between; w (W) oεδ (j 1 ,j 2 ,j 3 ) Realization of C ε And C 0 Brightness change between W oζε (j 1 ,j 2 ,j 3 ) Realization of C ζ And C 0 Brightness variation between; w (W) oαζ (j 1 ,j 2 ,j 3 ) Realization of C α And C o Brightness change between them.
Based on formula (2), when j 1 ,j 2 ,j 3 When=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 ) Between and (C) 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 between them.
As can be seen from the equation (2), the weight of each sub-sample of the ternary combination color mixture of the seven primary color fibers is related to the reference weight of the primary color fibers, to the reference discrete number, and to the discrete number. If the reference weight, the reference discrete number and the discrete serial number of the primary color fiber are not constrained in the color mixing process, the weight of the mixed subsamples is 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 ) Is a non-constant variable. To analyze the effect of the color fiber mixing ratio on the final color mixture color in the color mixture processIt is necessary to make the weight of each mixed subsamples constant, so that the influence of the mixing ratio of the three primary color fibers on the mixed color can be examined in a single factor manner. Therefore, constraint conditions on basic weight, basic discrete number and discrete serial number of the primary color fiber are required to be established, so that the weight of each mixed subsamples in the color mixing process is ensured to be kept constant.
The definition of the coupled color mixture for this is defined as follows: in the process of combining and mixing the discrete weights of the multi-element primary color fibers, the reference weights of the primary color fibers are equal, and the reference discrete numbers are equal, when the discrete serial numbers of the primary color fibers meet a specific constraint condition, the weights of the multi-element primary color fiber mixed color subsamples can be ensured to be constant and equal to the reference weights, the mixing ratio of the multi-element primary color fibers is enabled to be changed in a gradient way within the range of 0% -100%, and the mixing mode of the multi-element primary color fibers meeting the condition is defined as the coupling mixed color of the multi-element primary color fibers.
Step B2. According to the mass W of the seven primary colors of fibers alpha, beta, gamma, delta, epsilon, zeta and o α 、W β 、W γ 、W δ 、W ε 、W ζ 、W o Equal to W and the mass W of the six ternary color mixing 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, j 3 =7-j 1 -j 2 Wherein j is 1 、j 2 =1、2、3、4、5,(j 1 +j 2 ) And (3) carrying out updating in the formula (2) to obtain the following formula (4), and then entering the step B3.
Figure GDA0004266331330000061
Step B3. According to the quality W of the six ternary color mixing 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 ) And (2) respectively aiming at each ternary color mixing combination, respectively taking a top grid as gray, respectively corresponding to two colors at two end grids at the bottom edge, constructing a ternary coupling color mixing quality pyramid gridding model respectively corresponding to each ternary color mixing combination, as shown in fig. 1, and then entering step B4.
In practical applications, if the color values of the seven primary colors are M (255, 0), Y (255,255,0), G (0,255,0), C (0,255,255), B (0,0,255), M (255,0,255), E (128,128,128), the color mixing result is shown in FIG. 2.
Step B4. obtaining the mixing ratio lambda of the seven primary color fibers alpha, beta, gamma, delta, epsilon, zeta and o under the respective ternary color mixing 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 are provided:
W oβα (j 1 ,j 2 ) In (a): lambda (lambda) 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 ) In (a): lambda (lambda) 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 ) In (a): lambda (lambda) 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 ) In (a): lambda (lambda) 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 ) In (a): lambda (lambda) 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 ) In (a): lambda (lambda) 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 colorimetry theory, the color comprises three dimensions of hue, brightness and chroma. The regulation and control of colors and color matching are usually performed in the full color range from three dimensions of hue, brightness and chroma. The full gamut of colors is determined by the color space defined by hue angles ranging from 0 ° to 360 °, lightness ranging from 0 to 1, and chroma ranging from 0 to 1. The full color gamut control of colors refers to a color control method for realizing the change of a hue angle in the range of 0-360 degrees, the change of brightness in the range of 0-1 and the change of chroma in the range of 0-1 based on the control of the proportion of multiple primary colors.
The coupling color mixing gridding model comprises 15 grid points, the mixing proportion of 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 change of hue, brightness and chroma of colors 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 and zeta-alpha-0. However, the above regulation means belongs to local color gamut regulation, and cannot regulate the hue, brightness and chroma changes of colors in the full color gamut. In order to regulate and control color change in the full color gamut range and realize digital accurate regulation and control of hue, brightness and chroma, a gridding color mixing model of the full color gamut needs to be constructed.
Therefore, six gridding sub-models are spliced with each other corresponding to each row from head to tail to obtain a full-color domain gridding color mixing model of seven primary colors, such as an inclusion color hue alpha, beta, gamma, delta, epsilon, zeta, gray O and the like, constructed by seven primary color fibers, and the model has 61 grid points in total. The mixing proportion of the seven primary colors of fibers alpha, beta, gamma, delta, epsilon, zeta and o can be changed by changing grid point coordinates, and the hue, brightness and chroma changes of the colors can be uniformly regulated and controlled within the full color range of alpha-beta-gamma-delta-epsilon-zeta-o.
And C, aiming at the pyramid gridding models of the ternary coupling color mixing quality corresponding to the ternary color mixing combinations, splicing the same rows among the models in a mode that the same rows among the models are reserved in the same grids at the head and the tail, so as to form full-color domain gridding color spectrum corresponding to seven primary colors, and then entering the step D.
In application, the above step C is specifically performed as follows steps C1 to C5.
Step C1, according to the ternary coupling color mixing quality pyramid gridding model corresponding to each ternary color mixing combination, the same row splicing among the models is executed in a mode that one grid is reserved among the same rows of the models in a head-tail same grid mode, and j is used for 1 Represents the row of the spliced model, μ represents the column of the spliced model, and the full-color range mixture sample mass T (j) corresponding to the three primary colors 1 μ), seven primary color fibers α, β, γ, δ, ε, ζ, o correspond to the mixing ratio λ in the full-color domain 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 ) When (1):
if μ=1, 2,…,(μ m /6-1),(μ m /6),j 2 =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) 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=5, μ=1, j 2 =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. is obtained according to formulas (11) to (17) as follows:
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 developed as follows, and then step C3 is entered.
Take j 1 Mu when=1 m =24,μ=1,2,…,23,24;
When μ=1, 2,3,4,; j (j) 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 μ=5, 6,7,8; j (j) 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 μ=9, 10,11,12; j (j) 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 μ=13, 14,15,16; j (j) 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 (j) 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 μ=21, 22,23,24; j (j) 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);
Take j 1 When=2, μ m =18,μ=1,2,…,17,18;
When μ=1, 2,3,; j (j) 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 μ=4, 5,6; j (j) 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 μ=7, 8,9; j (j) 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 μ=10, 11,12; j (j) 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 μ=13, 14,15; j (j) 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 μ=16, 17,18; j (j) 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);
Take j 1 When=3, μ m =12,μ=1,2,…,11,12;
When μ=1, 2; j (j) 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 μ=3, 4; j (j) 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 μ=5, 6; j (j) 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 μ=7, 8; j (j) 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 μ=9, 10; j (j) 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 μ=11, 12; j (j) 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);
Take j 1 When=4, μ m =6,μ=1,2,…,5,6;
When μ=1; j (j) 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 μ=2; j (j) 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 μ=3; j (j) 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 μ=4; j (j) 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 μ=5; j (j) 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 μ=6; j (j) 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);
Take j 1 Mu when=5 m =1,μ=1;
When μ=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)。
when μ=1, 2 according to formula (11), μ m /6,μ+j 1 Lambda is less than or equal to 6 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)
when μ= (μ) according to formula (12) m /6+1),(μ m /6+2),…,(2μ m /6),μ+2j 1 Lambda is less than or equal to 11 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)
when μ= (2 μ) according to formula (13) m /6+1),(2μ m /6+2),…,(3μ m /6),μ+3j 1 Lambda is less than or equal to 16 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)
when μ= (3 μ) according to formula (14) m /6+1),(3μ m /6+2),…,(4μ m /6),μ+4j 1 Lambda is less than or equal to 21 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)
when μ= (4 μ) according to formula (15) m /6+1),(4μ m /6+2),…,(5μ m /6),μ+5j 1 Lambda is less than or equal to 26 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)
when μ= (5 μ) according to formula (16) m /6+1),(5μ m /6+2),…,(μ m ),μ+6j 1 Lambda is less than or equal to 31 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)
the mass of each subsamples of the full-color domain color mixing model is as follows:
Figure GDA0004266331330000101
blending ratio [ lambda (j) 1 ,μ)]The method 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 When=1, 2,3,4, μ m =6×(5-j 1 ),μ=1,2,……,μ m The method comprises the steps of carrying out a first treatment on the surface of the When j is 1 When=5, μ=μ m =1,j 2 =1。
Let each subsample color be C (j) 1 ,μ)=[C r (j 1 ,μ) C g (j 1 ,μ) C b (j 1 ,μ)] T Then:
Figure GDA0004266331330000111
And then proceeds to step C4.
Step C4 (1) when j 1 Let μ=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 Let μ=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 Let μ=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 Let μ=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, let μ=1;
[T(5,μ)] 1×1 =[T(5,1)] (33)
step C5 is then entered.
Step C5. is based on equations (29) - (33), and the mass matrix of the full-color-domain gridded color mixing model is obtained as follows:
Figure GDA0004266331330000112
the mixing ratio matrix of the full-color-domain gridded color mixing model is obtained by the method:
Figure GDA0004266331330000113
the color matrix for obtaining the full-color-domain gridded color mixing model is as follows:
Figure GDA0004266331330000121
namely, according to the color matrix of the full-color domain gridding color mixing model, constructing a full-color domain gridding color spectrum corresponding to seven primary colors, as shown in fig. 3, and then entering step D.
In practical applications, if the color values of the seven primary colors are M (255, 0), Y (255,255,0), G (0,255,0), C (0,255,255), B (0,0,255), M (255,0,255), and E (128,128,128), the full-color-domain gridding color spectrum corresponding to the seven primary colors is shown in fig. 4.
And D, aiming at the full-color-domain gridding chromatography, constructing a full-color-domain gridding annular color model corresponding to the seven primary colors in a twisting manner into concentric circles according to the following steps D1 to D2.
Step D1, constructing a full-color domain gridding annular color model corresponding to the seven primary colors according to a mode of twisting into concentric circles aiming at the full-color domain gridding chromatograph, as shown in fig. 5, and then entering step D2.
In practical applications, if the color values of the seven primary colors are M (255, 0), Y (255,255,0), G (0,255,0), C (0,255,255), B (0,0,255), M (255,0,255), and E (128,128,128), the full-color-domain gridded annular color spectrum corresponding to the seven primary colors is shown in fig. 6.
Step D2. obtains polar coordinates of each grid point position in the full-gamut gridded annular color model as follows: polar angle θ (j) 1 μ), polar radius ρ (j) 1 );
Work of the invention 1 When=1, 2,3,4,
Figure GDA0004266331330000122
second j 1 When the number of the samples is =5,
Figure GDA0004266331330000123
the numerical control spinning is a spinning method which takes asynchronous drafting (a plurality of channels) of a plurality of roves as essential characteristics and can carry out online regulation and control on the variation of blending ratio, linear density and twist of spun yarns, and 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, a frequency converter, an encoder, a speed reducer and the like which correspond to all mechanisms of the mechanical system.
Based on the design of the full-color domain gridding chromatographic construction method based on the color-mixed spinning of the seven-primary-color fibers, a spinning method is further designed, a three-channel color-mixed numerical control spinning system is based, three rear rollers, a middle roller, a front roller and a ring plate are combined, the three rear rollers, the middle roller, the front roller and the ring plate are respectively in one-to-one correspondence based on the control of a servo driver through a servo motor, and according to a full-color domain gridding annular color model corresponding to the seven primary colors, digital spinning is carried out on three kinds of fibers corresponding to the three kinds of color-mixed combinations consisting of the seven-primary-color fibers alpha, beta, gamma, delta, epsilon, zeta and o; wherein j is based on 1 When=1, 2,3,4, μ m =6×(5-j 1 ),μ=1,2,……,μ m The method comprises the steps of carrying out a first treatment on the surface of the J 1 When=5, μ=μ m =1,j 2 =1; three fibers fed into the three-channel color mixing numerical control spinning system are o, X and Z respectively.
When μ=1 to μ m When in step (6), three fibers O, X and Z of the three-channel color mixing numerical control spinning system are respectively O, beta and alpha;
when μ=μ m /6~2μ m When in step (6), three fibers O, X and Z of the three-channel color mixing numerical control spinning system are respectively O, gamma and beta;
when μ=2μ m /6~3μ m When in step (6), three fibers O, X and Z of the three-channel color mixing numerical control spinning system are respectively O, delta and gamma;
when μ=3μ m /6~4μ m When in step (6), three fibers O, X and Z of the three-channel color mixing numerical control spinning system are respectively O, epsilon and delta;
When μ=4μ m /6~5μ m When in step (6), three fibers O, X and Z of the three-channel color mixing numerical control spinning system are respectively O, ζ and ε;
when μ=5μ m /6~μ m When the three fibers are fed into the three-channel color mixing numerical control spinning system, the O, the X and the Z are O, zeta and alpha respectively.
Front roller linear velocity V based on drafting channel q (j 1 μ), three rear rollers have a linear velocity V hO (j 1 ,μ),V hX (j 1 ,μ),V hZ (j 1 μ), three channel draft ratio E O (j 1 ,μ),E X (j 1 ,μ),E Z (j 1 μ), three fiber densities ρ 'after drafting' O (j 1 ,μ),ρ' X (j 1 ,μ),ρ' Z (j 1 Mu) of the blend ratio of the fibers in the resultant yarn is lambda O (j 1 ,μ),λ X (j 1 ,μ),λ Z (j 1 ,μ)。
The three channel draft ratio is as follows:
Figure GDA0004266331330000131
let ρ O =ρ X =ρ Z The above formula is simplified as:
Figure GDA0004266331330000132
wherein μ=1, 3, 21,24; j (j) 1 =1,2,3,4,5;μ≥j 1
Wherein three fibers O, X and Z corresponding to the ternary color mixing combination are respectively fed into the back rollers based on three independent driving, and then are converged at the jaw of the front roller and enter a twisting mechanism to twist into the linear density rho of the three-way color mixing yarn formed by twisting y The method comprises the following steps:
Figure GDA0004266331330000133
and wherein the three asynchronously drawn fibers are combined and twisted to form a yarn, the blend ratio lambda of each fiber O, X, Z in the finished yarn O (j 1 ,μ),λ X (j 1 ,μ),λ Z (j 1 μ) is:
Figure GDA0004266331330000141
wherein lambda 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
Three-channel melange yarn color C based on the yarn-forming color determined by the color value of each fiber and the blending ratio thereof y (j 1 ,μ)=(C r (j 1 ,μ),C g (j 1 ,μ),C b (j 1 ,μ)) T The following are provided:
Figure GDA0004266331330000142
or:
Figure GDA0004266331330000143
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 GDA0004266331330000144
In practical application, according to the full-color-domain gridded annular color model corresponding to seven primary colors, respectively aiming at each ternary color mixtureIn the digital spinning of three fibers corresponding to the combination, the color based on the resultant yarn is C y (C r (j 1 ,μ),C g (j 1 ,μ),C b (j 1 μ), combining with a full-color-domain gridded annular color model corresponding to seven primary colors, and determining the yarn-forming color by the color value of each fiber and the blending ratio thereof, then:
Figure GDA0004266331330000145
wherein, when j 1 When=1, 2,3,4, μ m =6×(5-j 1 ),μ=1,2,……,μ m The method comprises the steps of carrying out a first treatment on the surface of the When j is 1 When=5, μ=μ m =1,j 2 =1。
The blending ratio matrix is as follows:
Figure GDA0004266331330000151
based on the fiber color mixing ratio, three fiber O, X, Z draw ratios were obtained as follows:
Figure GDA0004266331330000152
wherein, if ρ O =ρ X =ρ Z Then
Figure GDA0004266331330000153
Based on the mixing ratio matrix, the updated draft ratio is as follows:
Figure GDA0004266331330000154
in specific implementation, based on the three-channel color mixing numerical control spinning system, according to the full-color domain gridding annular color model corresponding to the seven primary colors, in digital spinning for three fibers corresponding to each three-color mixing combination, including spinning of color yarns with unchanged chroma and changed hue is performed, wherein according to formula (45) and the full-color domain gridding color spectrum corresponding to the seven primary colors, color values of the color yarns with unchanged chroma and changed hue of 4 series are respectively as follows:
color value of color yarn with unchanged color degree and changed hue in the 1 st series: [ C (1, 1), C (1, 2), (C (1, 23), C (1, 24) ];
Color value of color yarn with unchanged chroma and changed hue of the 2 nd series: [ C (2, 1), C (2, 2), (C (2, 17), C (2, 18) ];
color value of color yarn with unchanged 3 rd series chroma and changed hue: [ C (3, 1), C (3, 2), (C (3, 11), C (3, 12) ];
color value of color yarn with unchanged color degree and changed hue in the 4 th series: [ C (4, 1), C (4, 2),. The.C (4, 5), C (4, 6) ].
According to formula (47), and full-color domain gridding chromatography corresponding to seven primary colors, blending ratios of the 4 series of color yarns with unchanged chroma and changed hue are respectively as follows:
color yarn mixing ratio of 1 st series color degree unchanged and hue changed: [ lambda (1, 1), lambda (1, 2), lambda (1, 23), lambda (1, 24) ];
color yarn mixing ratio of 2 nd series color degree unchanged and hue changed: [ lambda (2, 1), lambda (2, 2), lambda (2, 17), lambda (2, 18) ];
color yarn mixing ratio of 3 rd series color degree unchanged and hue changed: [ lambda (3, 1), lambda (3, 2), lambda (3, 11), lambda (3, 12) ];
color value of color yarn with unchanged color degree and changed hue in the 4 th series: [ lambda (4, 1), lambda (4, 2), lambda (4, 5), lambda (4, 6) ].
According to formula (50), and full-color-domain gridding chromatography corresponding to the seven primary colors, the draft ratios of the 4-series constant-chroma and hue-changing color yarns are respectively as follows:
color yarn draft ratio of 1 st series with unchanged chroma and changed hue: [ E (1, 1), E (1, 2),. The.E (1, 23), E (1, 24) ];
Color yarn draft ratio of 2 nd series with unchanged chroma and changed hue: [ E (2, 1), E (2, 2),. The term, E (2, 17), E (2, 18) ];
color yarn draft ratio of 3 rd series with unchanged chroma and hue change: [ E (3, 1), E (3, 2),. The.E (3, 11), E (3, 12) ];
color yarn draft value for color yarn with constant degree of color and varying hue of the 4 th series: [ E (4, 1), E (4, 2),. E (4, 5), E (4, 6) ].
Based on the design of the spinning technological parameters, 4 series of color yarns with unchanged chroma and changed hue are spun in the full-color-gamut chromatographic range.
And based on the three-channel color mixing numerical control spinning system, according to the full-color domain gridding annular color model corresponding to the seven primary colors, respectively spinning the color yarns with unchanged hue and changeable brightness for three kinds of fibers corresponding to each three-element color mixing combination, wherein according to the 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 changeable brightness corresponding to the six three-element color mixing combinations are respectively:
color yarn color value of color change corresponding to the 1 st ternary color mixture combination is unchanged in hue and brightness: [ C (5, 1), C (4, 1), C (3, 1), C (2, 1), C (1, 1) ];
color yarn color value of color change corresponding to the 2 nd ternary color mixture combination is unchanged in hue and brightness: [ C (5, 1), C (4, 2), C (3, 3), C (2, 4), C (1, 5) ];
Color yarn color value of color change corresponding to the 3 rd ternary color mixture combination is unchanged in hue and brightness: [ C (5, 1), C (4, 3), C (3, 5), C (2, 7), C (1, 9) ];
color yarn color value of color change corresponding to the 4 th ternary color mixture combination is unchanged in hue and brightness: [ C (5, 1), C (4, 4), C (3, 7), C (2, 10), C (1, 13) ];
color yarn color value of color change corresponding to the 5 th ternary color mixture combination is unchanged in hue and brightness: [ C (5, 1), C (4, 5), C (3, 9), C (2, 13), C (1, 17) ];
color yarn color value of color change corresponding to the 6 th ternary color mixture combination is unchanged in hue and brightness: [ C (5, 1), C (4, 6), C (3, 11), C (2, 16), C (1, 21) ].
According to the formula (47) and the full-color-domain gridding color spectrum corresponding to the seven primary colors, the color yarn color mixing ratios of the color yarn with unchanged hue and changed brightness corresponding to the six ternary color mixing combinations are respectively as follows:
color yarn mixing ratio of color with unchanged hue and brightness change corresponding to the 1 st ternary color mixing combination: [ lambda (5, 1), lambda (4, 1), lambda (3, 1), lambda (2, 1), lambda (1, 1) ];
color yarn mixing ratio of color with unchanged hue and brightness corresponding to the 2 nd ternary color mixing combination: [ lambda (5, 1), lambda (4, 2), lambda (3, 3), lambda (2, 4), lambda (1, 5) ];
color yarn mixing ratio of color with unchanged hue and brightness corresponding to the 3 rd ternary color mixing combination: [ lambda (5, 1), lambda (4, 3), lambda (3, 5), lambda (2, 7), lambda (1, 9) ];
Color yarn mixing ratio of unchanged hue and brightness change corresponding to the 4 th ternary color mixing combination: [ lambda (5, 1), lambda (4, 4), lambda (3, 7), lambda (2, 10), lambda (1, 13) ];
color yarn mixing ratio of color with unchanged hue and brightness change corresponding to the 5 th ternary color mixing combination: [ lambda (5, 1), lambda (4, 5), lambda (3, 9), lambda (2, 13), lambda (1, 17) ];
color yarn mixing ratio of color with unchanged hue and brightness corresponding to the 6 th ternary color mixing combination: [ lambda (5, 1), lambda (4, 6), lambda (3, 11), lambda (2, 16), lambda (1, 21) ].
According to the formula (50) and the full-color-domain gridding color spectrum corresponding to the seven primary colors, the color yarn draft ratios of the color phase unchanged and brightness changed corresponding to the six ternary color-mixing combinations are respectively as follows:
color yarn draft ratio of color with unchanged hue and brightness corresponding to the 1 st ternary color mixture combination: [ E (5, 1), E (4, 1), E (3, 1), E (2, 1), E (1, 1) ];
color yarn draft ratio of color with unchanged hue and brightness corresponding to the 2 nd ternary color mixture combination: [ E (5, 1), E (4, 2), E (3, 3), E (2, 4), E (1, 5) ];
color yarn draft ratio of color with unchanged hue and brightness corresponding to the 3 rd ternary color mixture combination: [ E (5, 1), E (4, 3), E (3, 5), E (2, 7), E (1, 9) ];
color yarn draft ratio with unchanged hue and brightness corresponding to the 4 th ternary color mixture combination: [ E (5, 1), E (4, 4), E (3, 7), E (2, 10), E (1, 13) ];
Color yarn draft ratio of unchanged hue and brightness change corresponding to the 5 th ternary color mixture combination: [ E (5, 1), E (4, 5), E (3, 9), E (2, 13), E (1, 17) ];
color yarn draft ratio of color with unchanged hue and brightness corresponding to the 6 th ternary color mixture combination: [ E (5, 1), E (4, 6), E (3, 11), E (2, 16), E (1, 21) ].
Based on the design of the spinning technological parameters, the color yarn with unchanged hue and brightness corresponding to the six ternary color mixing combinations is spun in the full color gamut chromatographic range.
In addition, based on the three-channel color mixing numerical control spinning system, according to the full-color domain gridding annular color model corresponding to the seven primary colors, respectively spinning color yarns with hue change and chroma change for three fibers corresponding to each three-element color mixing combination, wherein according to the formula (45) and the full-color domain gridding color spectrum corresponding to the seven primary colors, color values of the color yarns with the constant hue and the variable chroma corresponding to the six three-element color mixing combinations are respectively:
color value of color yarn with unchanged hue and variable chroma corresponding to the 1 st ternary color mixture combination: [ C (5, 1), C (4, 1), C (2, 2), C (1, 3) ];
color value of color yarn with unchanged hue and variable chroma corresponding to the 2 nd ternary color mixture combination: [ C (5, 1), C (4, 2), C (2, 5), C (1, 7) ];
Color value of color yarn with unchanged hue and variable chroma corresponding to the 3 rd ternary color mixture combination: [ C (5, 1), C (4, 3), C (2, 8), C (1, 11) ];
color value of color yarn with unchanged hue and variable chroma corresponding to the 4 th ternary color mixing combination: [ C (5, 1), C (4, 4), C (2, 11), C (1, 15) ];
color value of color yarn with unchanged hue and variable chroma corresponding to the 5 th ternary color mixture combination: [ C (5, 1), C (4, 5), C (2, 14), C (1, 19) ];
color value of color yarn with unchanged hue and variable chroma corresponding to the 6 th ternary color mixing combination: [ C (5, 1), C (4, 6), C (2, 17), C (1, 23) ].
According to the formula (47) and the full-color-domain gridding color spectrum corresponding to the seven primary colors, the color yarn color mixing ratios of the color yarn with unchanged hue and changed chroma corresponding to the six ternary color mixing combinations are respectively as follows:
color yarn mixing ratio of unchanged hue and variable chroma corresponding to the 1 st ternary mixed color combination: [ lambda (5, 1), lambda (4, 1), lambda (2, 2), lambda (1, 3) ];
color yarn mixing ratio of color with unchanged hue and variable chroma corresponding to the 2 nd ternary mixed color combination: [ lambda (5, 1), lambda (4, 2), lambda (2, 5), lambda (1, 7) ];
color yarn mixing ratio of unchanged hue and variable chroma corresponding to the 3 rd ternary color mixing combination: [ lambda (5, 1), lambda (4, 3), lambda (2, 8), lambda (1, 11) ];
color yarn mixing ratio of unchanged hue and variable chroma corresponding to the 4 th ternary color mixing combination: [ lambda (5, 1), lambda (4, 4), lambda (2, 11), lambda (1, 15) ];
Color yarn mixing ratio of unchanged hue and variable chroma corresponding to the 5 th ternary color mixing combination: [ lambda (5, 1), lambda (4, 5), lambda (2, 14), lambda (1, 19) ];
color yarn mixing ratio of color with unchanged hue and variable chroma corresponding to the 6 th ternary color mixing combination: [ lambda (5, 1), lambda (4, 6), lambda (2, 17), lambda (1, 23) ].
According to the formula (50) and the full-color-domain gridding chromatograph corresponding to the seven primary colors, the color yarn draft ratios of the color constant and the chroma variation corresponding to the six ternary color-mixing combinations are respectively as follows:
color yarn draft ratio of unchanged hue and variable chroma corresponding to the 1 st ternary color mixture combination: [ E (5, 1), E (4, 1), E (2, 2), E (1, 3) ];
color yarn draft ratio of unchanged hue and variable chroma corresponding to the 2 nd ternary color mixture combination: [ E (5, 1), E (4, 2), E (2, 5), E (1, 7) ];
color yarn draft ratio of unchanged hue and variable chroma corresponding to the 3 rd ternary color mixture combination: [ E (5, 1), E (4, 3), E (2, 8), E (1, 11) ];
color yarn draft ratio with unchanged hue and variable chroma corresponding to the 4 th ternary color mixing combination: [ E (5, 1), E (4, 4), E (2, 11), E (1, 15) ];
color yarn draft ratio of unchanged hue and variable chroma corresponding to the 5 th ternary color mixture combination: [ E (5, 1), E (4, 5), E (2, 14), E (1, 19) ];
color yarn draft ratio of unchanged hue and variable chroma corresponding to the 6 th ternary color mixing combination: [ E (5, 1), E (4, 6), E (2, 17), E (1, 23) ].
Based on the design of the spinning technological parameters, the color yarn with unchanged hue and changed chroma corresponding to the six ternary color-mixing combinations is spun in the full-color-gamut chromatographic range.
The above-described full-color domain gridding chromatography construction method and spinning method based on color-mixed spinning of seven-primary color fibers were applied to practical application, example 1, and the following was specifically performed based on full-color domain chromatography to spin color yarns.
1. Optimizing dyeing process, selecting six groups of color and gray dye formulas with color difference of about 60 degrees, dyeing natural fiber, chemical fiber or blended fiber to obtain seven-primary color fiber alpha, beta, gamma, delta, epsilon, zeta and o, and obtaining seven-primary color fiber RGB color values of C by a color meter 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
Color fiber RGB values 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 fiber (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 color spectrum for designing melange yarns based on seven-primary color full-color domain gridded color model
If the measured color values 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) of the seven primary colors are taken into the formula (36), the full-color-domain gridding color spectrum corresponding to the seven primary colors is calculated as shown in fig. 7, and the full-color-domain gridding annular color model corresponding to the seven primary colors is calculated as shown in fig. 8.
Substituting the measured color values of seven primary colors of fiber 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 of the full-color yarn gamut mixed sample
C(j 1 ,δ)=[C r (j 1 ,δ),C g (j 1 ,δ),C b (j 1 ,δ)]The following are provided:
Figure GDA0004266331330000191
(j 1 =1,2,3,4,5;μ=1,2,3,…,μ m )
(j 1 when=1, 2,3,4, μ m =6×(5-j 1 ),μ=1,2,……,μ m The method comprises the steps of carrying out a first treatment on the surface of the When j is 1 When=5, μ=μ m =1,j 2 =1)
All C (j) 1 μ) the calculation results are shown in table 2 below for the full gamut coupled color mixture color values.
TABLE 2
Figure GDA0004266331330000192
2. The three primary color fibers are respectively manufactured into linear density W through spinning process α ,W β ,W γ Three-primary roving at 4.5g/10m was used as shown in Table 3 below.
TABLE 3 Table 3
Roving yarn Density of raw yarn RGB values 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 fiber 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 color yarn
(1) Specification parameters of color yarn
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 trichromatic fibers are determined according to the design scheme of the full-color-domain annular color model.
(2) Blending ratio parameter of spun full-color domain color yarn
Blending ratio lambda (j) of trichromatic melange yarn 1 μ) as follows:
Figure GDA0004266331330000193
(j 1 =1,2,3mu at 4 m =6×(5-j 1 ),μ=1,2,……,μ m The method comprises the steps of carrying out a first treatment on the surface of the When j is 1 When=5, μ=μ m =1,j 2 =1)
All blending ratio parameters lambda (j) 1 μ) are shown in table 4.
TABLE 4 Table 4
Figure GDA0004266331330000201
(2) Draft ratio parameters of spun full-color domain color yarns
Trichromatic melange yarn draft ratio E (j) 1 ,μ)=[E o (j 1 ,μ),E X (j 1 ,μ),E Z (j 1 ,μ)]The following are provided:
Figure GDA0004266331330000202
(j 1 when=1, 2,3,4, μ m =6×(5-j 1 ),μ=1,2,……,μ m The method comprises the steps of carrying out a first treatment on the surface of the When j is 1 When=5, μ=μ m =1,j 2 =1)
All draft ratio parameters E (j) 1 Delta) are calculated as shown in table 5 for the draw ratio parameters of the spun full-color yarn.
TABLE 5
Figure GDA0004266331330000203
(2) Draft ratio parameters of spun full-color domain color yarns
Color values for the color yarn gamut mix based on known trichromatic fiber color values are:
Figure GDA0004266331330000204
(j 1 =1,2,3,4,5;μ=1,2,3,…,μ m )
the color value of the mixed sample of the full-color domain color yarn chromatograph is calculated and obtained as shown in the full-color domain color mixing model in the table 6.
TABLE 6
Figure GDA0004266331330000205
Example 2-spinning of color yarn with constant chroma and varying hue the 18 different hues of serialized colors with 75% chroma value were selected as shown in fig. 9, the color yarn with constant chroma and varying hue was spun, the spinning process was as shown in table 7, the color yarn drawing process parameters with constant chroma and varying hue were spun, and the color value of the spun yarn was as shown in table 8.
TABLE 7
Figure GDA0004266331330000211
TABLE 8
Figure GDA0004266331330000212
Example 3-spinning of color yarn with unchanged hue and changed chroma, as shown in fig. 10, a serialized color with unchanged hue, changed chroma, a color yarn with unchanged hue and changed chroma was selected, the spinning process was shown in table 9, the color value of the spun yarn was shown in table 10, and the color value of the spun yarn was changed.
TABLE 9
Figure GDA0004266331330000213
Table 10
Figure GDA0004266331330000214
Figure GDA0004266331330000221
EXAMPLE 4 spinning of color yarn with color phase Change and chroma Change
Six serialized colors with hue change and chroma change are selected as shown in fig. 11, color yarns with hue change and chroma change are spun, the spinning process is shown in table 11, the drafting process parameters of the color yarns with hue change and chroma change are spun, and the color values of the spun yarns are shown in table 12.
TABLE 11
Figure GDA0004266331330000222
Table 12
Figure GDA0004266331330000223
The embodiments of the present invention have been described in detail with reference to the drawings, but the present invention is not limited to the above embodiments, and various changes can be made within the knowledge of those skilled in the art without departing from the spirit of the present invention.

Claims (6)

1. The method for constructing the seven-primary-color fiber full-color-gamut color mixing mode and the annular gridding color matching model is characterized by comprising the following steps of:
step A, forming seven primary color fibers based on six color fibers with the same mass and 60 degrees of hue difference and gray fibers with the same mass, and then entering step B;
step B, based on the 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 ternary coupling color mixing quality pyramid gridding models with gray top grids corresponding to the ternary color mixing combinations and two colorful pyramid gridding models corresponding to the two bottom grids corresponding to the ternary color mixing combinations, and then entering the step C;
Step C, aiming at the pyramid gridding models of the ternary coupling color mixing quality corresponding to the ternary color mixing combinations respectively, splicing the same rows among the models in a mode that the same rows among the models are reserved in the same grids at the head and the tail, so as to form full-color domain gridding color spectrum corresponding to seven primary colors, and then entering the step D;
step D, aiming at the full-color-domain gridding chromatograph, constructing a full-color-domain gridding annular color model corresponding to seven primary colors in a twisting concentric circle mode; the step B comprises the following steps B1 to B4;
step B1 based on the mass W of the seven primary colors fibers alpha, beta, gamma, delta, epsilon, zeta, o α 、W β 、W γ 、W δ 、W ε 、W ζ 、W o Combining the preset reference discrete number 4 corresponding to the fiber quality, and combining any two color fibers in the seven primary color fibers with gray fibers to form six ternary color mixing combinations, wherein the quality W of the six ternary color mixing combinations is equal to that of the three ternary color mixing 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 ) Wherein j is as follows 1 、j 2 、j 3 =1, 2, 3, 4, 5, then step B2,
Figure FDA0004278884710000011
step B2. According to the mass W of the seven primary colors of fibers alpha, beta, gamma, delta, epsilon, zeta and o α 、W β 、W γ 、W δ 、W ε 、W ζ 、W o Equal to W and the mass W of the six ternary color mixing 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, j 3 =7-j 1 -j 2 Wherein j is 1 、j 2 =1、2、3、4、5,(j 1 +j 2 ) Less than or equal to 6, carrying out updating in the formula (2) to obtain the following formula (4), and then entering the step B3;
Figure FDA0004278884710000012
Step B3. According to the quality W of the six ternary color mixing 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 ) The corresponding formula (4) respectively aims at each ternary color mixing combination, two colors are respectively corresponding to two end grids of the bottom edge and the top grid, a ternary coupling color mixing quality pyramid gridding model respectively corresponding to each ternary color mixing combination is built, and then the step B4 is carried out;
step B4. obtaining the mixing ratio lambda of the seven primary color fibers alpha, beta, gamma, delta, epsilon, zeta and o under the respective ternary color mixing 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 are provided:
W oβα (j 1 ,j 2 ) In (a): lambda (lambda) 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 ) In (a): lambda (lambda) 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 ) In (a): lambda (lambda) 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 ) In (a): lambda (lambda) 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 ) In (a): lambda (lambda) 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 ) In (a): lambda (lambda) 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)
The step C comprises the following steps C1 to C5;
step C1, according to the respective ternary color mixing combinationsCorresponding ternary coupling color mixing quality pyramid gridding model, performing identical line splicing among models in a mode that identical lines among the models are kept by identical grids from head to tail, and j is used for 1 Represents the row of the spliced model, μ represents the column of the spliced model, and the full-color range mixture sample mass T (j) corresponding to the three primary colors 1 μ), seven primary color fibers α, β, γ, δ, ε, ζ, o correspond to the mixing ratio λ in the full-color domain 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, then go to step C2;
when j is 1 =1,2,3,…,4,μ m =6×(5-j 1 ) When (1):
if μ=1, 2, …, (μ) m /6-1),(μ m /6),j 2 =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) 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=5, μ=1, j 2 =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. is obtained according to formulas (11) to (17) as follows:
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 developing the above formula (18) as follows, and then proceeding to step C3;
take j 1 Mu when=1 m =24,μ=1,2,…,23,24;
When μ=1, 2,3,4; j (j) 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 μ=5, 6,7,8; j (j) 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 μ=9, 10,11,12; j (j) 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 μ=13, 14,15,16; j (j) 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 (j) 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 μ=21, 22,23,24; j (j) 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);
Take j 1 When=2, μ m =18,μ=1,2,…,17,18;
When μ=1, 2,3; j (j) 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 μ=4, 5,6; j (j) 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 μ=7, 8,9; j (j) 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 μ=10, 11,12; j (j) 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 μ=13, 14,15; j (j) 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 μ=16, 17,18; j (j) 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);
Take j 1 When=3, μ m =12,μ=1,2,…,11,12;
When μ=1, 2; j (j) 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 μ=3, 4; j (j) 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 μ=5, 6; j (j) 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 μ=7, 8; j (j) 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 μ=9, 10; j (j) 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 μ=11, 12; j (j) 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);
Take j 1 When=4, μ m =6,μ=1,2,…,5,6;
When μ=1; j (j) 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 μ=2; j (j) 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 μ=3; j (j) 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 μ=4; j (j) 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 μ=5; j (j) 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 μ=6; j (j) 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);
Take j 1 Mu when=5 m =1,μ=1;
When μ=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)
when μ=1, 2 according to formula (11), μ m /6,μ+j 1 Lambda is less than or equal to 6 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)
when μ= (μ) according to formula (12) m /6+1),(μ m /6+2),…,(2μ m /6),μ+2j 1 Lambda is less than or equal to 11 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)
when μ= (2 μ) according to formula (13) m /6+1),(2μ m /6+2),…,(3μ m /6),μ+3j 1 Lambda is less than or equal to 16 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)
when μ= (3 μ) according to formula (14) m /6+1),(3μ m /6+2),…,(4μ m /6),μ+4j 1 Lambda is less than or equal to 21 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)
when μ= (4 μ) according to formula (15) m /6+1),(4μ m /6+2),…,(5μ m /6),μ+5j 1 Lambda is less than or equal to 26 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)
when μ= (5 μ) according to formula (16) m /6+1),(5μ m /6+2),…,(μ m ),μ+6j 1 Lambda is less than or equal to 31 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)
the mass of each subsamples of the full-color domain color mixing model is as follows:
Figure FDA0004278884710000051
blending ratio [ lambda (j) 1 ,μ)]The method 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 When=1, 2,3,4, μ m =6×(5-j 1 ),μ=1,2,……,μ m The method comprises the steps of carrying out a first treatment on the surface of the When j is 1 When=5, μ=μ m =1,j 2 =1;
Let each subsample color be C (j) 1 ,μ)=[C r (j 1 ,μ) C g (j 1 ,μ) C b (j 1 ,μ)] T Then:
Figure FDA0004278884710000052
then enter step C4;
step C4 (1) when j 1 Let μ=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 Let μ=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 Let μ=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 Let μ=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, let μ=1;
[T(5,μ)] 1×1 =[T(5,1)] (33)
then enter step C5;
step C5. is based on equations (29) - (33), and the mass matrix of the full-color-domain gridded color mixing model is obtained as follows:
Figure FDA0004278884710000061
the mixing ratio matrix of the full-color-domain gridded color mixing model is obtained by the method:
Figure FDA0004278884710000062
the color matrix for obtaining the full-color-domain gridded color mixing model is as follows:
Figure FDA0004278884710000063
d, constructing full-color domain gridding color spectrum corresponding to seven primary colors according to a color matrix of the full-color domain gridding color mixing model, and then entering a step D;
The step D comprises the following steps D1 to D2;
step D1, aiming at full-color domain gridding chromatography, constructing a full-color domain gridding annular color model corresponding to seven primary colors according to a twisting concentric circle mode, and then entering step D2;
step D2. obtains polar coordinates of each grid point position in the full-gamut gridded annular color model as follows: polar angle θ (j) 1 μ), polar radius ρ (j) 1 );
Work of the invention 1 When=1, 2,3,4,
Figure FDA0004278884710000064
second j 1 When the number of the samples is =5,
Figure FDA0004278884710000065
2. 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 construction method is characterized in that: based on a three-channel color mixing numerical control spinning system, combining three rear rollers, a middle roller, a front roller and a ring plate which are respectively in one-to-one correspondence based on the control of a servo driver through a servo motor, 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 the three color mixing combinations aiming at six ternary color mixing combinations formed by seven primary color fibers alpha, beta, gamma, delta, epsilon, zeta and o; wherein j is based on 1 When=1, 2,3,4, μ m =6×(5-j 1 ),μ=1,2,……,μ m The method comprises the steps of carrying out a first treatment on the surface of the J 1 When=5, μ=μ m =1,j 2 =1; three fibers fed into the three-way color mixing numerical control spinning system are respectively O, X and Z;
When μ=1 to μ m When in step (6), three fibers O, X and Z of the three-channel color mixing numerical control spinning system are respectively O, beta and alpha;
when μ=μ m /6~2μ m When in step (6), three fibers O, X and Z of the three-channel color mixing numerical control spinning system are respectively O, gamma and beta;
when μ=2μ m /6~3μ m When in step (6), three fibers O, X and Z of the three-channel color mixing numerical control spinning system are respectively O, delta and gamma;
when μ=3μ m /6~4μ m When in step (6), three fibers O, X and Z of the three-channel color mixing numerical control spinning system are respectively O, epsilon and delta;
when μ=4μ m /6~5μ m When in step (6), three fibers O, X and Z of the three-channel color mixing numerical control spinning system are respectively O, ζ and ε;
when μ=5μ m /6~μ m When the three fibers are fed into the three-channel color mixing numerical control spinning systemDimension O, X, Z are O, ζ, α respectively;
front roller linear velocity V based on drafting channel q (j 1 μ), three rear rollers have a linear velocity V hO (j 1 ,μ),V hX (j 1 ,μ),V hZ (j 1 μ), three channel draft ratio E O (j 1 ,μ),E X (j 1 ,μ),E Z (j 1 μ), three fiber densities ρ 'after drafting' O (j 1 ,μ),ρ' X (j 1 ,μ),ρ' Z (j 1 Mu) of the blend ratio of the fibers in the resultant yarn is lambda O (j 1 ,μ),λ X (j 1 ,μ),λ Z (j 1 ,μ);
The three channel draft ratio is as follows:
Figure FDA0004278884710000071
let ρ O =ρ X =ρ Z The above formula is simplified as:
Figure FDA0004278884710000072
wherein μ=1, 3, 21,24; j (j) 1 =1,2,3,4,5;μ≥j 1
Wherein three fibers O, X and Z corresponding to the ternary color mixing combination are respectively fed into the back rollers based on three independent driving, and then are converged at the jaw of the front roller and enter a twisting mechanism to twist into the linear density rho of the three-way color mixing yarn formed by twisting y The method comprises the following steps:
Figure FDA0004278884710000073
and wherein the three asynchronously drawn fibers are combined and twisted to form a yarn, the blend ratio lambda of each fiber O, X, Z in the finished yarn O (j 1 ,μ),λ X (j 1 ,μ),λ Z (j 1 μ) is:
Figure FDA0004278884710000074
wherein lambda 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
Three-channel melange yarn color C based on the yarn-forming color determined by the color value of each fiber and the blending ratio thereof y (j 1 ,μ)=(C r (j 1 ,μ),C g (j 1 ,μ),C b (j 1 ,μ)) T The following are provided:
Figure FDA0004278884710000081
or:
Figure FDA0004278884710000082
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 FDA0004278884710000083
3. the method of spinning colored yarn according to claim 2, wherein: in the digital spinning of the three fibers corresponding to each ternary color mixing combination according to the full-color domain gridding annular color model corresponding to the seven primary colors, the color based on the resultant yarn is C y (C r (j 1 ,μ),C g (j 1 ,μ),C b (j 1 μ), combining full-color domain gridded annular color models corresponding to seven primary colors, and forming yarn colors by color values of each fiberAnd determining the blending ratio of the two components:
Figure FDA0004278884710000084
wherein, when j 1 When=1, 2,3,4, μ m =6×(5-j 1 ),μ=1,2,……,μ m The method comprises the steps of carrying out a first treatment on the surface of the When j is 1 When=5, μ=μ m =1,j 2 =1;
The blending ratio matrix is as follows:
Figure FDA0004278884710000085
based on the fiber color mixing ratio, three fiber O, X, Z draw ratios were obtained as follows:
Figure FDA0004278884710000086
wherein, if ρ O =ρ X =ρ Z Then
Figure FDA0004278884710000091
Based on the mixing ratio matrix, the updated draft ratio is as follows:
Figure FDA0004278884710000092
4. a method of spinning colored yarns in accordance with claim 3, wherein: the three-channel color mixing based numerical control spinning system respectively carries out digital spinning on three fibers corresponding to each three-element 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 chroma and changed hue, and color values of the color yarns with unchanged chroma and changed hue of 4 series respectively are as follows according to a formula (45) and the full-color-domain gridding color spectrum corresponding to the seven primary colors:
Color value of color yarn with unchanged color degree and changed hue in the 1 st series: [ C (1, 1), C (1, 2), (C (1, 23), C (1, 24) ];
color value of color yarn with unchanged chroma and changed hue of the 2 nd series: [ C (2, 1), C (2, 2), (C (2, 17), C (2, 18) ];
color value of color yarn with unchanged 3 rd series chroma and changed hue: [ C (3, 1), C (3, 2), (C (3, 11), C (3, 12) ];
color value of color yarn with unchanged color degree and changed hue in the 4 th series: [ C (4, 1), C (4, 2), (C (4, 5), C (4, 6) ];
according to formula (47), and full-color domain gridding chromatography corresponding to seven primary colors, blending ratios of the 4 series of color yarns with unchanged chroma and changed hue are respectively as follows:
color yarn mixing ratio of 1 st series color degree unchanged and hue changed: [ lambda (1, 1), lambda (1, 2), lambda (1, 23), lambda (1, 24) ];
color yarn mixing ratio of 2 nd series color degree unchanged and hue changed: [ lambda (2, 1), lambda (2, 2), lambda (2, 17), lambda (2, 18) ];
color yarn mixing ratio of 3 rd series color degree unchanged and hue changed: [ lambda (3, 1), lambda (3, 2), lambda (3, 11), lambda (3, 12) ];
color value of color yarn with unchanged color degree and changed hue in the 4 th series: [ lambda (4, 1), lambda (4, 2), lambda (4, 5), lambda (4, 6) ];
according to formula (50), and full-color-domain gridding chromatography corresponding to the seven primary colors, the draft ratios of the 4-series constant-chroma and hue-changing color yarns are respectively as follows:
Color yarn draft ratio of 1 st series with unchanged chroma and changed hue: [ E (1, 1), E (1, 2),. The.E (1, 23), E (1, 24) ];
color yarn draft ratio of 2 nd series with unchanged chroma and changed hue: [ E (2, 1), E (2, 2),. The term, E (2, 17), E (2, 18) ];
color yarn draft ratio of 3 rd series with unchanged chroma and hue change: [ E (3, 1), E (3, 2),. The.E (3, 11), E (3, 12) ];
color yarn draft value for color yarn with constant degree of color and varying hue of the 4 th series: [ E (4, 1), E (4, 2),. E (4, 5), E (4, 6) ];
based on the design of the spinning technological parameters, 4 series of color yarns with unchanged chroma and changed hue are spun in the full-color-gamut chromatographic range.
5. A method of spinning colored yarns in accordance with claim 3, wherein: in the digital spinning of three kinds of fibers corresponding to each ternary color mixture combination according to the full-color-domain gridding annular color model corresponding to the seven primary colors based on the three-channel color mixture numerical control spinning system, the spinning of the color yarns with unchanged hue and changeable brightness is included, wherein 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 changeable brightness corresponding to the six ternary color mixture combinations are respectively:
Color yarn color value of color change corresponding to the 1 st ternary color mixture combination is unchanged in hue and brightness: [ C (5, 1), C (4, 1), C (3, 1), C (2, 1), C (1, 1) ];
color yarn color value of color change corresponding to the 2 nd ternary color mixture combination is unchanged in hue and brightness: [ C (5, 1), C (4, 2), C (3, 3), C (2, 4), C (1, 5) ];
color yarn color value of color change corresponding to the 3 rd ternary color mixture combination is unchanged in hue and brightness: [ C (5, 1), C (4, 3), C (3, 5), C (2, 7), C (1, 9) ];
color yarn color value of color change corresponding to the 4 th ternary color mixture combination is unchanged in hue and brightness: [ C (5, 1), C (4, 4), C (3, 7), C (2, 10), C (1, 13) ];
color yarn color value of color change corresponding to the 5 th ternary color mixture combination is unchanged in hue and brightness: [ C (5, 1), C (4, 5), C (3, 9), C (2, 13), C (1, 17) ];
color yarn color value of color change corresponding to the 6 th ternary color mixture combination is unchanged in hue and brightness: [ C (5, 1), C (4, 6), C (3, 11), C (2, 16), C (1, 21) ]; according to the formula (47) and the full-color-domain gridding color spectrum corresponding to the seven primary colors, the color yarn color mixing ratios of the color yarn with unchanged hue and changed brightness corresponding to the six ternary color mixing combinations are respectively as follows:
color yarn mixing ratio of color with unchanged hue and brightness change corresponding to the 1 st ternary color mixing combination: [ lambda (5, 1), lambda (4, 1), lambda (3, 1), lambda (2, 1), lambda (1, 1) ];
Color yarn mixing ratio of color with unchanged hue and brightness corresponding to the 2 nd ternary color mixing combination: [ lambda (5, 1), lambda (4, 2), lambda (3, 3), lambda (2, 4), lambda (1, 5) ];
color yarn mixing ratio of color with unchanged hue and brightness corresponding to the 3 rd ternary color mixing combination: [ lambda (5, 1), lambda (4, 3), lambda (3, 5), lambda (2, 7), lambda (1, 9) ];
color yarn mixing ratio of unchanged hue and brightness change corresponding to the 4 th ternary color mixing combination: [ lambda (5, 1), lambda (4, 4), lambda (3, 7), lambda (2, 10), lambda (1, 13) ];
color yarn mixing ratio of color with unchanged hue and brightness change corresponding to the 5 th ternary color mixing combination: [ lambda (5, 1), lambda (4, 5), lambda (3, 9), lambda (2, 13), lambda (1, 17) ];
color yarn mixing ratio of color with unchanged hue and brightness corresponding to the 6 th ternary color mixing combination: [ lambda (5, 1), lambda (4, 6), lambda (3, 11), lambda (2, 16), lambda (1, 21) ]; according to the formula (50) and the full-color-domain gridding color spectrum corresponding to the seven primary colors, the color yarn draft ratios of the color phase unchanged and brightness changed corresponding to the six ternary color-mixing combinations are respectively as follows:
color yarn draft ratio of color with unchanged hue and brightness corresponding to the 1 st ternary color mixture combination: [ E (5, 1), E (4, 1), E (3, 1), E (2, 1), E (1, 1) ];
color yarn draft ratio of color with unchanged hue and brightness corresponding to the 2 nd ternary color mixture combination: [ E (5, 1), E (4, 2), E (3, 3), E (2, 4), E (1, 5) ];
Color yarn draft ratio of color with unchanged hue and brightness corresponding to the 3 rd ternary color mixture combination: [ E (5, 1), E (4, 3), E (3, 5), E (2, 7), E (1, 9) ];
color yarn draft ratio with unchanged hue and brightness corresponding to the 4 th ternary color mixture combination: [ E (5, 1), E (4, 4), E (3, 7), E (2, 10), E (1, 13) ];
color yarn draft ratio of unchanged hue and brightness change corresponding to the 5 th ternary color mixture combination: [ E (5, 1), E (4, 5), E (3, 9), E (2, 13), E (1, 17) ];
color yarn draft ratio of color with unchanged hue and brightness corresponding to the 6 th ternary color mixture combination: [ E (5, 1), E (4, 6), E (3, 11), E (2, 16), E (1, 21) ];
based on the design of the spinning technological parameters, the color yarn with unchanged hue and brightness corresponding to the six ternary color mixing combinations is spun in the full color gamut chromatographic range.
6. A method of spinning colored yarns in accordance with claim 3, wherein: in the digital spinning of three kinds of fibers corresponding to each ternary color mixture combination according to the full-color-domain gridding annular color model corresponding to the seven primary colors based on the three-channel color mixture numerical control spinning system, the spinning of color yarns with hue change and chroma change is carried out, wherein 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 the constant hue and the variable chroma corresponding to the six ternary color mixture combinations are respectively:
Color value of color yarn with unchanged hue and variable chroma corresponding to the 1 st ternary color mixture combination: [ C (5, 1), C (4, 1), C (2, 2), C (1, 3) ];
color value of color yarn with unchanged hue and variable chroma corresponding to the 2 nd ternary color mixture combination: [ C (5, 1), C (4, 2), C (2, 5), C (1, 7) ];
color value of color yarn with unchanged hue and variable chroma corresponding to the 3 rd ternary color mixture combination: [ C (5, 1), C (4, 3), C (2, 8), C (1, 11) ];
color value of color yarn with unchanged hue and variable chroma corresponding to the 4 th ternary color mixing combination: [ C (5, 1), C (4, 4), C (2, 11), C (1, 15) ];
color value of color yarn with unchanged hue and variable chroma corresponding to the 5 th ternary color mixture combination: [ C (5, 1), C (4, 5), C (2, 14), C (1, 19) ];
color value of color yarn with unchanged hue and variable chroma corresponding to the 6 th ternary color mixing combination: [ C (5, 1), C (4, 6), C (2, 17), C (1, 23) ];
according to the formula (47) and the full-color-domain gridding color spectrum corresponding to the seven primary colors, the color yarn color mixing ratios of the color yarn with unchanged hue and changed chroma corresponding to the six ternary color mixing combinations are respectively as follows:
color yarn mixing ratio of unchanged hue and variable chroma corresponding to the 1 st ternary mixed color combination: [ lambda (5, 1), lambda (4, 1), lambda (2, 2), lambda (1, 3) ];
color yarn mixing ratio of color with unchanged hue and variable chroma corresponding to the 2 nd ternary mixed color combination: [ lambda (5, 1), lambda (4, 2), lambda (2, 5), lambda (1, 7) ];
Color yarn mixing ratio of unchanged hue and variable chroma corresponding to the 3 rd ternary color mixing combination: [ lambda (5, 1), lambda (4, 3), lambda (2, 8), lambda (1, 11) ];
color yarn mixing ratio of unchanged hue and variable chroma corresponding to the 4 th ternary color mixing combination: [ lambda (5, 1), lambda (4, 4), lambda (2, 11), lambda (1, 15) ];
color yarn mixing ratio of unchanged hue and variable chroma corresponding to the 5 th ternary color mixing combination: [ lambda (5, 1), lambda (4, 5), lambda (2, 14), lambda (1, 19) ];
color yarn mixing ratio of color with unchanged hue and variable chroma corresponding to the 6 th ternary color mixing combination: [ lambda (5, 1), lambda (4, 6), lambda (2, 17), lambda (1, 23) ];
according to the formula (50) and the full-color-domain gridding chromatograph corresponding to the seven primary colors, the color yarn draft ratios of the color constant and the chroma variation corresponding to the six ternary color-mixing combinations are respectively as follows:
color yarn draft ratio of unchanged hue and variable chroma corresponding to the 1 st ternary color mixture combination: [ E (5, 1), E (4, 1), E (2, 2), E (1, 3) ];
color yarn draft ratio of unchanged hue and variable chroma corresponding to the 2 nd ternary color mixture combination: [ E (5, 1), E (4, 2), E (2, 5), E (1, 7) ];
color yarn draft ratio of unchanged hue and variable chroma corresponding to the 3 rd ternary color mixture combination: [ E (5, 1), E (4, 3), E (2, 8), E (1, 11) ];
Color yarn draft ratio with unchanged hue and variable chroma corresponding to the 4 th ternary color mixing combination: [ E (5, 1), E (4, 4), E (2, 11), E (1, 15) ];
color yarn draft ratio of unchanged hue and variable chroma corresponding to the 5 th ternary color mixture combination: [ E (5, 1), E (4, 5), E (2, 14), E (1, 19) ];
color yarn draft ratio of unchanged hue and variable chroma corresponding to the 6 th ternary color mixing combination: [ E (5, 1), E (4, 6), E (2, 17), E (1, 23) ];
based on the design of the spinning technological parameters, the color yarn with unchanged hue and changed chroma corresponding to the six ternary color-mixing combinations is spun in the full-color-gamut chromatographic range.
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