Full gamut color mixing model and its color mixing spectrum constructed by numerical control four-channel colored fiber mixing

Abstract

This invention relates to a full-gamut color mixing model constructed by CNC four-channel fiber blending. First, based on the equal brightness, equal chroma, and equal hue angle divisions in the HSV cylindrical color model structure, multi-element primary color fibers are constructed, along with a multi-element primary color fiber color matching system. Then, the weight of the multi-element primary color fibers is discretized using a preset gradient to construct a quaternary primary color fiber dual-coupling color mixing mode, i.e., a multi-element primary color fiber gridded color mixing model. Finally, by changing the mixing ratio of the primary color fibers, the hue, brightness, and chroma of the mixed fiber colors are controlled to achieve full-gamut color control, constructing a full-gamut gridded color mixing model and a full-gamut color mixing spectrum. Based on the above design, a further CNC four-channel fiber blending mechanical system is used to achieve color control of the formed yarn from the quaternary primary color fiber dual-coupling color mixing fibers, thereby enabling efficient color control of the formed yarn and improving the efficiency of actual color control.

Description

Technical Field

[0001] This invention relates to a full-gamut color mixing model constructed by CNC four-channel colored fiber mixing and its color mixing chromatogram, belonging to the field of color control technology in the textile industry. Background Technology

[0002] In the production of colored yarn, it is necessary to grasp fashion trends and innovate yarn color design based on market demand, launching a series of yarn colors; it is necessary to construct a colored yarn color model and its full color gamut control system, clarifying the correspondence between the finished yarn color and the base color (seed color) fiber color and their mixing ratio; and it is necessary to quickly design color matching schemes based on sample colors and quickly and accurately sample and reproduce colors. Therefore, how to perform color mixing and color innovation is one of the key technologies of colored yarn and colored spinning.

[0003] Currently, the colored yarn industry selects fibers of different colors from dyed fibers, solution-dyed fibers, or natural colored fibers as base color (seed color) fibers, and spins colored yarn or colored yarn through methods such as hand blending, patchwork blending, cotton bale blending, drawing and sliver blending, roving blending, and fine yarn blending.

[0004] The color matching problem in colored yarn spinning is essentially about how to obtain all visible colors by mixing the basic colors of several fibers. Applying Newton's three primary colors principle or the four primary colors principle in printing to colored yarn spinning remains a significant obstacle to overcome. Furthermore, traditional spinning theory fails to provide methods for controlling the hue, chroma, and brightness of the shaped yarn, nor does it offer methods for achieving full-gamut color mixing and realizing colored yarn spinning. Currently, the following four bottlenecks need to be addressed.

[0005] 1. Based on the characteristics of the colored yarn spinning field, how to select and optimize multi-color primary color (seed color) fibers to construct a full-spectrum color matching model, and how to combine the above multi-color primary color (seed color) fibers in different ways and adjust the mixing ratio of multi-color primary color (seed color) fibers so that the hue of the mixed fiber aggregate changes within the range of 0 to 360°, the lightness changes within the range of 0 to 1, and the chroma changes within the range of 0 to 1. This is the key to constructing a full-color gamut gridded color matching model.

[0006] 2. To construct a full-gamut gridded color mixing model based on the full-gamut color matching model and through the gridded mixing of multi-primary color (seed color) fibers, it is necessary to build a gridded color mixing algorithm. This algorithm should be able to obtain the spatial coordinate value, color value, and mixing ratio of multi-primary color (seed color) fibers corresponding to the grid points based on the grid point index, and construct the matrix equation of grid points with equal brightness, equal chroma, and equal hue. This is the key to constructing a full-gamut gridded color mixing model.

[0007] 3. How to construct a three-element synergistic control mechanism of multi-channel feeding ratio, primary color (seed color) fiber mixing ratio, and mixed color through a CNC multi-channel fine mixing system and its CNC algorithm is the key technology to realize the control of hue, chroma, brightness and color of the formed yarn in the full color gamut.

[0008] 4. How to combine the three-element synergistic control mechanism of multi-channel fine cotton blending with the full-color gamut gridded color matching model, and obtain the base color (seed color) fiber mixing ratio of the corresponding full-color gamut mixed color based on the color value of the full-color gamut colored yarn provided by the full-color gamut gridded model, and then obtain the CNC multi-channel spinning process of the full-color gamut colored yarn from the base color (seed color) fiber mixing ratio, is the key to realizing full-color gamut colored spinning, and also the key to controlling the hue, brightness and chroma of the formed yarn within the full color gamut range. Summary of the Invention

[0009] The technical problem to be solved by this invention is to provide a full color gamut color mixing model constructed by CNC four-channel color fiber mixing. Based on the HSV cylindrical color model structure, it applies multi-element primary color fibers and, through gridding application, efficiently obtains a full color gamut gridded color mixing model and a full color gamut color chromatogram.

[0010] To solve the above-mentioned technical problems, the present invention adopts the following technical solution: The present invention designs a full-gamut color mixing model constructed by CNC four-channel color fiber mixing. First, based on the equal brightness division, equal chroma division, and equal hue angle division in the HSV cylindrical color model structure, the corresponding physical base color fibers are obtained by dyeing with the color values ​​of each node in the HSV cylindrical color model structure as reference values, thus forming multi-dimensional base color fibers. The color values ​​of each physical base color fiber are detected and obtained. The polar coordinate values ​​of the corresponding color values ​​of each physical base color fiber in the HSV cylindrical color model are used to construct the polar coordinate values ​​of the corresponding physical base color fibers, thus constructing a multi-dimensional base color fiber color matching system.

[0011] Then, the weight of the multi-primary color fiber is discretized with a preset gradient, and quaternary primary color fibers are selected on each equal brightness surface to be mixed with discrete weights to construct a dual coupling color mixing mode of quaternary primary color fibers, namely, a multi-primary color fiber meshed color mixing model.

[0012] Finally, based on the multi-primary color gridding color mixing model, the hue of the mixed color fiber is controlled within the range of 0 to 360°, the lightness within the range of 0 to 1, and the chroma within the range of 0 to 1 by changing the mixing ratio of the primary color fiber, so as to achieve full color gamut color control, and construct a full color gamut gridding color mixing model and a full color gamut color mixing spectrum.

[0013] Corresponding to the above, the technical problem that this invention also needs to solve is to provide a color mixing spectrum based on a full-gamut color mixing model constructed by CNC four-channel fiber mixing, and to achieve color control of formed yarns from quaternary primary color fibers with dual coupling color mixing based on a CNC four-channel fiber mixing mechanical system and a full-gamut gridded color mixing model.

[0014] To solve the above-mentioned technical problems, the present invention adopts the following technical solution: The present invention designs a color mixing spectrum based on a full color gamut color mixing model constructed by CNC four-channel color fiber mixing, and based on a CNC four-channel fiber mixing mechanical system, according to the full color gamut gridded color mixing model, the color control of the formed yarn of the quaternary primary color fiber dual coupling color mixing fiber is realized according to the following steps i to ii.

[0015] Step i. Based on the process control principle of the CNC four-channel fiber blending mechanical system, construct a synergistic control mechanism of the three elements of blended fiber color, blending ratio, and cotton conveying flow rate;

[0016] Step ii. Based on the color values ​​of the mixed fibers at each grid point in the full color gamut grid-based color mixing model, obtain the color mixing ratio of the mixed fibers at each grid point, construct a color control method for the full color gamut grid-based color mixing mode, and combine the three-element synergistic control mechanism of color-mixing ratio-cotton flow rate of the mixed fiber to realize the color control of the formed yarn.

[0017] The full-gamut color mixing model and its color mixing chromatogram constructed by CNC four-channel color fiber mixing described in this invention, compared with the prior art, have the following technical effects:

[0018] (1) The full-gamut color mixing model constructed by the CNC four-channel color fiber mixing in this invention first constructs multi-element primary color fibers based on the equal brightness division, equal chroma division, and equal hue angle division in the HSV cylindrical color model structure, and constructs a multi-element primary color fiber color matching system; then, the weight of the multi-element primary color fibers is discretized with a preset gradient to construct a quaternary primary color fiber dual-coupling color mixing mode, that is, a multi-element primary color fiber gridded color mixing model; finally, by changing the mixing ratio of the primary color fibers, the hue, brightness, and chroma of the mixed color fibers are controlled to achieve full-gamut color control, construct a full-gamut gridded color mixing model, and a full-gamut color mixing spectrum; based on the above design, further based on the CNC four-channel fiber mixing mechanical system, the color control of the formed yarn of the quaternary primary color fiber dual-coupling color mixing fiber is realized, thereby enabling efficient color control of the formed yarn and improving the efficiency of actual color control. Attached Figure Description

[0019] Figure 1 This is a schematic diagram of the full-gamut color mixing model and its color mixing chromatogram constructed by the numerical control four-channel color fiber mixing of the present invention;

[0020] Figure 2This is a schematic diagram of the HSV color model and color solid in the design of this invention;

[0021] Figure 3 This is a schematic diagram of the fiber node model corresponding to each brightness surface in the design of this invention;

[0022] Figure 4 This is a schematic diagram of the fiber node model of the primary color (seed color) on each hue surface in the design of this invention;

[0023] Figure 5 This is a schematic diagram of the fiber node model of each primary color (seed color) on two isochromatic surfaces and one grayscale axis in the design of this invention;

[0024] Figure 6 This is a schematic diagram of 12 mixed regions on a medium-brightness surface designed in this invention, with different weight combinations of four primary color fibers.

[0025] Figure 7 This is a schematic diagram of 12 color mixing areas on a medium-brightness surface designed in this invention, using different weight combinations of four primary color fibers.

[0026] Figure 8 This is the process flow of the CNC four-channel fiber mixing mechanical system designed in this invention;

[0027] Figure 9 This is a schematic diagram of the CNC four-channel fiber mixing mechanical system in the design of this invention;

[0028] Figure 10 This is a schematic diagram of the structure of the CNC four-channel fiber mixing mechanical system in this invention.

[0029] Figure 11 This invention relates to the three-element control mechanism of the numerically controlled four-channel fiber blending mechanical system.

[0030] Figure 12 This is a schematic diagram of the full color gamut color matching model in the design and application embodiment of the present invention;

[0031] Figure 13a This is a schematic diagram of the color matching system for various lightness surfaces in the design and application embodiments of the present invention;

[0032] Figure 13b This is a schematic diagram of the primary color matching system for each hue surface in the design and application embodiments of the present invention;

[0033] Figure 13c These are schematic diagrams of the color matching systems of various chroma primary colors and grayscale axis colors in the design and application embodiments of this invention;

[0034] Figure 14 This is a schematic diagram of the equal brightness surface mesh color mixing model in the design and application embodiment of the present invention;

[0035] Figure 15 This is a schematic diagram of the full-gamut gridded color mixing model obtained in the design and application embodiment of the present invention. Detailed Implementation

[0036] The specific embodiments of the present invention will be further described in detail below with reference to the accompanying drawings.

[0037] The definition of the full-gamut gridded color mixing model applies Newton's principle of the three primary colors of light and is based on the anatomical structure theory of rod cells and three cone cells of the human optic nerve. It uses four primary color (seed color) fibers such as magenta-cyan-yellow-gray or seven primary color (seed color) fibers such as red-yellow-green-cyan-blue-magenta-gray as the color matching system. The gridded mixing space of multi-primary color (seed color) fibers is obtained by the gridded mixing of the gradient discretized weight of the seven primary color (seed color) fibers. By changing the grid point coordinates, the mixing ratio of multi-primary color (seed color) fibers can be varied within the range of 0-100%. The hue H of the primary color (seed color) fiber mixture is adjusted within the range of 0-360°, the chroma S within the range of 0-1, and the lightness L within the range of 0-1. The gridded color mixing model constructed in this way is called the full-gamut gridded color mixing model.

[0038] Within a gridded mixing space, the coordinates of each grid point reveal the corresponding combination and mixing ratio of primary color (seed color) fibers. Using these primary color (seed color) fiber mixing ratios, mixed samples corresponding to each grid point are prepared. Based on these mixed samples, the theoretical and measured color values ​​corresponding to each grid point can be obtained. Furthermore, by clarifying the correspondence between the grid point coordinates, primary color (seed color) fiber mixing ratios, and theoretical color values ​​of the mixed samples in the gridded mixing model, a multi-primary color (seed color) mixing model expressing the color distribution law based on a multi-primary color (seed color) fiber mixing system is constructed. Therefore, the multi-primary color (seed color) mixing model is a digital model constructed based on the mixing characteristics and visual color values ​​of primary color (seed color) fibers.

[0039] A multi-primary color (seed color) color matching system is constructed based on the requirements of full-gamut color mixing. Within the HSV color model, dividing lightness into 5 lightness values ​​with a 1 / 4 gradient, dividing hue into 6 hue values ​​with a 60° gradient, and dividing chroma into 3 chroma values ​​with a 0.5 gradient, all within the full-gamut color matching requirement, yields a gridded HSV color model with 5 equal lightness planes, 6 equal hue planes, 2 equal chroma planes, and 1 grayscale axis. This results in a total of 13×5 nodes, with 13 equal lightness nodes on each lightness plane, 3×5 equal hue nodes on each equal hue plane, 6×5 equal chroma nodes on each equal chroma plane, and 5 nodes on the grayscale axis. Based on the color values ​​of 13×5=65 nodes in the HSV color model, 13×5=65 dyed samples with different hues, brightness, and chroma were obtained through dyeing. The color values ​​of the 13×5=65 dyed samples were obtained by measuring with a colorimeter. The measured color values ​​were then used as the color values ​​of the multi-color (seed color) fibers corresponding to the above 13×5=65 nodes. At the same time, the polar coordinate values ​​of the 13×5=65 nodes in the HSV color model were used as the node polar coordinate values ​​corresponding to the 13×5=65 multi-color (seed color) fibers.

[0040] Based on the above, the full-gamut color mixing model constructed by the CNC four-channel color fiber mixing of the present invention firstly obtains the physical base color fibers corresponding to the dyeing of each node color value in the HSV cylindrical color model structure based on the equal brightness division, equal chroma division, and equal hue angle division in the HSV cylindrical color model structure, thereby forming multi-color base color fibers. The color value of each physical base color fiber is then detected and obtained. The polar coordinate value of the corresponding color value of each physical base color fiber in the HSV cylindrical color model is used to construct the polar coordinate value of the corresponding physical base color fiber, thereby constructing a multi-color base color fiber color matching system.

[0041] Then, the weight of the multi-primary color fiber is discretized with a preset gradient, and quaternary primary color fibers are selected on each equal brightness surface to be mixed with discrete weights to construct a dual coupling color mixing mode of quaternary primary color fibers, namely, a multi-primary color fiber meshed color mixing model.

[0042] Finally, based on the multi-primary color gridding color mixing model, by changing the mixing ratio of the primary color fibers, the hue of the mixed color fibers can be controlled within the range of 0 to 360°, the brightness within the range of 0 to 1, and the chroma within the range of 0 to 1, thereby achieving full color gamut color control and constructing a full color gamut gridding color mixing model and a full color gamut color mixing spectrum.

[0043] Based on the above design concept, the full-color gamut color mixing model constructed by the CNC four-channel color fiber mixing in this invention is as follows: Figure 1 As shown, the specific design is carried out through steps A to D.

[0044] Step A. Based on the HSV cylindrical color model structure, divide the gray lightness variation from top to bottom along its central axis into five equally spaced lightness levels. Divide the horizontal cross-section circle from the center outward radius into three equally spaced chroma levels. Divide the chroma variation from 0 to 1 along its outer radius into six preset chroma levels at each position of the 60° hue difference on the outer circumference of the horizontal cross-section circle. This will obtain the physical base color fibers that are dyed with reference to the color values ​​of each node in the HSV cylindrical color model structure, thus forming multi-color fibers.

[0045] In practical applications, step A above is specifically designed based on the HSV cylindrical color model structure, defining the gray brightness variation from 0 to 1 corresponding to its central axis from top to bottom. Divide the data into equal lightness values, obtaining low lightness values ​​V1 to high lightness values ​​V5, and obtain the equal lightness value gradient as Δ, and the gradient lightness values. as follows:

[0046]

[0047] For the hue range of 0° to 360° corresponding to the outer circumference of a horizontal cross-section circle, τ = 1, 2, 3, 4, 5, 6 is defined. A hue gradient of 60° is used to divide the hue range into equal parts H1 to H6, obtaining the gradient hue value H. τ as follows:

[0048]

[0049] For a horizontally cross-section circle with a chroma variation of 0-1 from the center outwards, defined as μ = 0, 1, 2, the three chroma divisions are performed at equal intervals as follows:

[0050] S μ ≈μ / 2 (3)

[0051] Based on the nodes where the lightness plane, hue plane, and chroma plane intersect, the corresponding solid primary color fibers are dyed with the color value of each node as a reference value to form multi-color primary color fibers, as detailed below.

[0052] set up τ = 1, 2, ..., 5, 6; μ = 0, 1, 2, with serialized hue values ​​H τ Series of brightness values Serialized chroma values ​​S μ By preparing colored fibers based on the standard, 2×6×5 colored fiber base color (seed color) samples and 5 gray fiber base color (seed color) samples can be obtained; a total of (2×6+1)×5 base color (seed color) fiber samples can be obtained.

[0053] The 13×5=65 primary color (seed color) fiber samples obtained above can be used to form 5 equal lightness planes, or 2 equal chroma planes and one grayscale axis, or 6 equal hue planes. Based on the color values ​​of the primary color (seed color) fiber samples designed above, the dye bath formula and optimized dyeing process are continuously adjusted, and the target fibers are dyed multiple times. The color values ​​of each sample are measured using a Datacolor800 benchtop precision colorimeter.

[0054] Assume 13 × 5 = 65 colored fiber dyeing samples The color value Through repeated adjustments and optimizations of the dye bath formula and dyeing process, the measured color values ​​of 13 × 5 = 65 colored fiber dyeing samples were obtained. With the specified color value Consistent. Therefore, the color values ​​of the 13 × 5 = 65 primary color (seed color) fibers are obtained as follows:

[0055]

[0056] Step B. Detect and obtain the color value of each physical primary color fiber, and construct the polar coordinate value of the corresponding physical primary color fiber by using the polar coordinate value of the corresponding color value of each physical primary color fiber in the HSV cylindrical color model, thus constructing a multi-dimensional primary color fiber color matching system.

[0057] In practical applications, step B above specifically designs and detects the color values ​​of each physical primary color fiber, and uses the polar coordinates of the corresponding color values ​​of each physical primary color fiber in the HSV cylindrical color model to construct the polar coordinates of the corresponding physical primary color fiber; among which, for colored primary color fibers, and τ = 1, 2, ..., 5, 6; μ = 1, 2, then the hue value H τ Correspondingly, its polar coordinate θ is taken. τ =360×(τ-1) / 6, and the chroma value S μ Correspondingly, its polar radius coordinate is taken as r. μ ≈μ / 2, and the brightness value Correspondingly, its height coordinates are taken as Then each primary color fiber 3D polar coordinates of the corresponding node as follows:

[0058]

[0059] For gray base color fibers, and τ=1,2,...,5,6; ε=0, then the hue value of the sample is... Correspondingly, its polar coordinates are taken as θ0=0, corresponding to the sample chroma value S0≈0, and its polar radius coordinates are taken as r0≈0, corresponding to the sample lightness value. Correspondingly, its height coordinates are taken as Then each gray base color fiber 3D polar coordinates of the corresponding node as follows:

[0060]

[0061] From equations (4), (5), and (6), it can be seen that based on the 13×5 primary color (seed color) fiber color values, the corresponding 13×5 nodes in the HSV color model can be obtained. From these 13×5 nodes, the following can be defined: Figure 2 The HSV color model and color solid are shown.

[0062] Constructing a multi-primary-color fiber color matching system includes constructing a multi-primary-color fiber color matching system based on equal value planes, constructing a multi-primary-color fiber color matching system based on equal hue planes, and constructing a multi-primary-color fiber color matching system based on equal chroma planes. Among them, the multi-primary-color fiber color matching system constructed based on equal value planes is as follows:

[0063] Based on the fact that each isoluminance surface contains 13 nodes, totaling 13 × 5 = 65 nodes, the polar coordinates of the corresponding nodes of each primary color fiber in the HSV cylindrical color model are obtained, forming the corresponding color solid. The three-dimensional polar coordinates of each node on each isoluminance surface are as follows:

[0064]

[0065] The fiber node models of primary color (seed color) on each equal brightness surface corresponding to equation (7) are as follows: Figure 3 As shown.

[0066] Expanding equation (7) yields:

[0067] Z1 height plane:

[0068] Z2 height plane:

[0069] Z3 height plane:

[0070] Z4 height plane:

[0071] Z5 height surface:

[0072] Based on the aforementioned five isoluminance surfaces, the three-dimensional polar coordinates of all nodes are integrated into a matrix of 5 rows and 13 columns, totaling 65 nodes. This matrix constitutes the three-dimensional polar coordinate matrix of the multi-element primary color fiber color matching system based on isoluminance surfaces. as follows:

[0073]

[0074] There are 5 equal-lightness surfaces, each containing 13 nodes, for a total of 13 × 5 nodes. The primary color fiber color value corresponds to each node on each equal-lightness surface. as follows:

[0075]

[0076] Expanding equation (9) yields:

[0077] V1 color scheme:

[0078] V2 color scheme:

[0079] V3 color scheme:

[0080] V4 color scheme:

[0081] V5 color scheme:

[0082] Based on the above 5 equal brightness surfaces, the color values ​​of all nodes are integrated into a matrix of 5 rows and 13 columns, totaling 65 nodes, which constitutes the color matrix of the multi-element primary color fiber color matching system based on equal brightness surfaces [C]. 5×13 as follows:

[0083]

[0084] The following multi-primary color matching system is constructed based on isochromatic surfaces:

[0085] Based on serialized polar coordinate values ​​θ τ =60×(τ-1) (τ=1,2,...,5,6), construct 6 isochromatic surfaces, each with 10 nodes corresponding to the primary color and 5 nodes corresponding to the primary gray, for a total of 13×5=65 nodes. The three-dimensional polar coordinates of each node on each isochromatic surface are as follows:

[0086]

[0087] The fiber node models of the primary color (seed color) on each hue surface corresponding to equation (11) are as follows: Figure 4 As shown.

[0088] Expanding equation (11) yields:

[0089] θ1 polar angle surface:

[0090] θ2 polar angle surface:

[0091] θ3 polar angle surface:

[0092] θ4 polar angle surface:

[0093] θ5 polar plane:

[0094] θ6 polar angle surface:

[0095] Based on the 2×5 nodes corresponding to the primary color and 5 nodes corresponding to the primary gray on each isochromatic surface, construct the three-dimensional polar coordinate matrix of each node on each isochromatic surface. as follows:

[0096]

[0097] Obtain the three-dimensional polar coordinate matrix of the multi-primary color fiber color matching system based on isochromatic surfaces. as follows:

[0098]

[0099] Based on 10 nodes corresponding to the primary color and 5 nodes corresponding to the primary gray on each isochromatic surface, a total of 13 × 5 = 65 nodes are obtained. The color values ​​of each node on each isochromatic surface are as follows:

[0100]

[0101] Expanding equation (14) yields:

[0102] H1 Hue plane:

[0103] H2 Hue Plane:

[0104] H3 Hue plane:

[0105] H4 Hue plane:

[0106] H5 Hue Surface:

[0107] H6 Hue plane:

[0108] Based on the above 6 isochromatic surfaces, each surface has 2×5 chromatic primary color (seed color) fiber nodes and 5 achromatic primary color (seed color) fiber nodes. The color of each node on each isochromatic surface can be obtained using a 5x3 color matrix, that is, the primary color fiber color value matrix corresponding to each node on each isochromatic surface can be obtained. as follows:

[0109]

[0110] This involves integrating all nodes to obtain a color matrix for a multi-element primary color fiber color matching system based on isochromatic surfaces. as follows:

[0111]

[0112] A multi-element primary color matching system is constructed based on isochromatic surfaces as follows:

[0113] Based on serialized polar angle θ τ =60×(τ-1) (τ=1,2,...,5,6) and polar radius coordinates r μ =μ / 2 (μ = 0, 1, 2), when r1 = 0.5, r2 = 1, and r0 = 0, two isochromatic surfaces and one grayscale axis are constructed respectively. Then, the three-dimensional coordinate values ​​of (2 × 6 × 5 + 5) nodes on the two isochromatic surfaces and one grayscale axis are as follows:

[0114]

[0115] The fiber node model of each primary color (seed color) on the two isochromatic surfaces (r1 = 0.5; r2 = 1) and one grayscale axis (r0 = 0) corresponding to equation (17) is as follows: Figure 5 As shown.

[0116] Expanding equation (17) yields:

[0117] r0 gray axis: {ψ(0,0,z1),ψ(0,0,z2),ψ(0,0,z3),ψ(0,0,L4),ψ(0,0,L5)}

[0118] r1 radius surface:

[0119] r2 radius surface:

[0120] The three-dimensional coordinate values ​​of each node on the two isochromatic surfaces and one grayscale axis are integrated into a multi-element primary color coordinate matrix. The three-dimensional coordinate matrix representation of the multi-primary color fiber color matching system based on isochromatic surfaces is obtained as follows:

[0121]

[0122] In the above color solid, based on the serialized polar radius coordinate values ​​r0=0, r1=0.5, r2=1, one grayscale axis and two isochromatic surfaces can be constructed. The primary color fiber color values ​​corresponding to the 5×13=65 nodes on the one grayscale axis and two isochromatic surfaces are as follows:

[0123] S0 grayscale axis: {C(0,0,L1),C(0,0,L2),C(0,0,L3),C(0,0,L4),C(0,0,L5)}

[0124] S1 chroma surface:

[0125] S2 chroma surface:

[0126] The primary color fiber color values ​​corresponding to each node on the two isochromatic surfaces and one grayscale axis are integrated into a multi-dimensional primary color matrix. This yields a color matrix for a multi-color fiber color matching system based on isochromatic surfaces. as follows:

[0127]

[0128] Step C. Discretize the weight of the multi-element primary color fiber with a preset gradient. First, construct the quaternary primary color fiber mixing mode based on the multi-element primary color fiber combination on each equal brightness surface. Then, select quaternary primary color fibers on each equal brightness surface and mix them with discrete weights to construct the quaternary primary color fiber dual coupling mixing mode, that is, the multi-element primary color fiber gridded mixing model.

[0129] In practical applications, the specific design of step C above is based on various brightness levels. The color values ​​of the primary color fibers corresponding to the 13 nodes on the color matching surface are: Corresponding to the 13 primary color fibers, their weights are as follows: and Then and The corresponding color values ​​are as follows:

[0130]

[0131] The weights of each primary color fiber are discretized as follows:

[0132]

[0133] The color values ​​of the discretized weights of each primary color fiber are:

[0134]

[0135] based on Each lightness plane contains thirteen primary color fibers: red... yellow green green orchid magenta Ash The corresponding color values ​​are:

[0136]

[0137] and:

[0138] On an isoluminance surface, 12 mixing regions are constructed using different weight combinations of the four primary color fibers, as shown below. Figure 6 As shown.

[0139]

[0140] And on the same brightness surface, the following 12 color mixing areas are constructed using different color combinations of the four primary color fibers, as shown below, and... Figure 7 As shown.

[0141]

[0142] Based on 5 equal lightness surfaces, the 12 mixed regions on each lightness surface, totaling 60 mixed regions, are uniformly represented as follows:

[0143]

[0144] Based on 5 equal value planes, the 12 color mixing regions of each value plane, totaling 60 color mixing regions, are uniformly expressed as follows:

[0145]

[0146] Then, quaternary primary color fibers are selected on each equal brightness surface and mixed with discrete weights to construct a dual coupling color mixing mode of quaternary primary color fibers, namely a multi-primary color fiber gridded color mixing model. First, Equation (21) is substituted into Equation (25) to obtain the quaternary gridded color mixing mode of 12 mixing regions on the equal brightness surface as follows:

[0147]

[0148] Based on equation (29), quaternary dual coupling color mixing is performed in 12 mixing regions to obtain the weight of each mixed sample on the isoluminity surface. The following describes how to calculate the fiber weight of a mixed-color fiber based on a quaternary dual coupling mode.

[0149]

[0150] in:

[0151] Then based on equation (30) and against The 12 color mixing regions, wherein the mixing ratio of each color mixing fiber is as follows, realize the mixing ratio of the primary color fiber in each color mixing fiber based on the quaternary dual coupling mode;

[0152]

[0153]

[0154]

[0155]

[0156]

[0157]

[0158]

[0159]

[0160]

[0161]

[0162]

[0163]

[0164] Finally, based on equation (30) and against The 12 color mixing regions are obtained as follows, based on the quaternary dual coupling mode, to obtain the color values ​​of each color mixing fiber.

[0165] Set with mixed color fibers The corresponding color value but:

[0166]

[0167] Set with mixed color fibers The corresponding color value but:

[0168]

[0169] Set with mixed color fibers The corresponding color value but:

[0170]

[0171] Set with mixed color fibers The corresponding color value but:

[0172]

[0173] Set with mixed color fibers The corresponding color value but:

[0174]

[0175] Set with mixed color fibers The corresponding color value but:

[0176]

[0177] Set with mixed color fibers The corresponding color value but:

[0178]

[0179] Set with mixed color fibers The corresponding color value but:

[0180]

[0181] Set with mixed color fibers The corresponding color value but:

[0182]

[0183] Set with mixed color fibers The corresponding color value but:

[0184]

[0185] Set with mixed color fibers The corresponding color value but:

[0186]

[0187] Set with mixed color fibers The corresponding color value but:

[0188]

[0189] Regarding the construction approach of the full color gamut gridded color mixing model, based on the full color gamut color matching model, the full color gamut gridded color mixing model can be constructed by mixing multiple primary color (seed color) fibers, which can be accomplished through the following construction approach.

[0190] (1) Extract 13×5=65 representative seed color fibers from the full color gamut color matching model, and discretize them according to the weight of the multi-primary color (seed color) fibers to obtain the serialized discrete weight of each primary color (seed color) fiber.

[0191] (2) Using the discrete weights of various sub-color fibers as carriers, the discrete weights of different primary color (seed color) fibers are meshed and mixed, and the weight percentage of each primary color (seed color) fiber in the mixing process is used as the weight coefficient for color transfer to calculate the color value of the meshed mixed sample. All combinations of discrete weights of multi-primary color (seed color) fibers are exhausted to obtain all grid points in the color mixing space, clarify the color gamut range of hue, lightness, and chroma of all grid points, and construct a full color gamut mesh color mixing model;

[0192] (3) Constructing a full-gamut grid-based color mixing model: Based on the optimization of the primary color (seed color) color matching system and the full-gamut grid-based color mixing of multiple primary colors (seed colors), by changing the grid point coordinates to make the mixing ratio of multiple primary color (seed color) fibers change within the range of 0-100%, the hue H of the primary color (seed color) fiber mixture is adjusted within the range of 0-360°, the chroma S within the range of 0-1, and the lightness V within the range of 0-1, thereby constructing a full-gamut grid-based color mixing model.

[0193] (4) Construct the grid point matrix equation of the full color gamut color mixing model: corresponding to the grid point coordinates of the full color gamut color mixing model, construct the grid point color mixing fiber weight matrix, grid point mixing ratio matrix, grid point color spectrum matrix, as well as the isoluminance color spectrum matrix, isochromaticity color spectrum matrix and isohue color spectrum matrix.

[0194] Based on the above construction approach, the following step D will be executed.

[0195] Step D. Based on the multi-primary color fiber grid-based color mixing model, by changing the grid point coordinates to vary the multi-primary color fiber mixing ratio within the range of 0-100%, the hue H of the primary color fiber mixture is adjusted within the range of 0°-360°, the chroma S within the range of 0-1, and the lightness V within the range of 0-1. This constructs a full-gamut grid-based color mixing model, and corresponds to the coordinates of each grid point in the full-gamut grid-based color mixing model. This constructs the grid point color mixing fiber weight matrix, grid point color mixing fiber mixing ratio matrix, grid point color mixing fiber color spectrum matrix, as well as the isolightness color spectrum matrix, isochroma color spectrum matrix, and isohue color spectrum matrix in the full-gamut grid-based color mixing model.

[0196] In practical applications, the specific design of step D above is based on... After n×(m+1) meshing and color mixing of the 12 color mixing regions under each equal brightness surface, a total of 5×6n×(2m+1) color mixing fibers are obtained. First, the 12 color mixing regions under each equal brightness surface are merged to obtain 5 equal brightness color matching models. Then, the 5 equal brightness color matching models are merged to obtain a full color gamut meshed color mixing model.

[0197] Among them, based on Twelve color mixing regions under each lightness plane are defined as follows:

[0198]

[0199] Based on equation (30), the weight of each color mixing fiber in the full color gamut meshed color mixing model (i = 1, 2, ..., 2m, 2m+1; j = 1, 2, ..., 6n-1, 6n) are as follows:

[0200]

[0201] in:

[0202] Based on equation (36), all 5×6n×(2m+1) meshed mixed-color fibers are obtained, assuming... The weight matrix of all mixed-color fibers is as follows, which is the weight matrix of mixed-color fibers at grid points in the full-gamut gridded color mixing model;

[0203]

[0204] Based on equations (43) to (54), let Given the mixing ratio of the primary color fibers in each color mixing fiber in the full-gamut meshed color mixing model, we obtain:

[0205]

[0206] Based on equation (57), the mixing ratios of all 5×6n×(2m+1) gridded color-mixing fibers are obtained. Let the mixing ratio matrix of all color-mixing fibers be... The following is the mixing ratio matrix of the mixing fibers at the grid points in the full-gamut gridded color mixing model;

[0207]

[0208] Further based on the weight of the blended fibers of formula (36) as follows:

[0209]

[0210] Based on the color mixing fiber in the full color gamut meshed color mixing model Color value Based on equation (39), the following is obtained:

[0211]

[0212] Based on equations (23) and (24), we obtain the results related to... The corresponding color values ​​are as follows:

[0213]

[0214] The color values ​​of all 5×6n×(2m+1) meshed color mixing fibers in the full color gamut meshed color mixing model as follows:

[0215]

[0216] in:

[0217] Based on equation (42), the color values ​​of all 5×6n×(2m+1) gridded color mixing fibers are obtained. Then, the color spectrum matrix of the gridded color mixing fibers in the full color gamut gridded color mixing model is obtained. as follows:

[0218]

[0219] Based on the full-gamut color mixing model constructed by the above-designed CNC four-channel fiber mixing system, this invention further designs and obtains a color mixing spectrum based on this model. Specifically, the design is based on a CNC four-channel fiber mixing mechanical system, such as... Figure 8 The diagram shows the four-channel CNC fiber blending process. Up to four different colored fibers are selected from pre-prepared dyed fibers (natural or chemical), solution-dyed fibers, naturally colored fibers, or undyed fibers (natural or chemical) as base colors for color matching. These fibers are arranged on the cotton tables of four cotton pickers (rotary disc cotton pickers or reciprocating linear cotton pickers). Each base color fiber passes through its respective channel's cotton picker, axial flow cotton opener, multi-bin cotton blender, and porcupine beater cotton opener before entering the CNC four-channel fiber blender. The CNC four-channel fiber blender controls the flow rate of the base color fibers fed into each channel to regulate the weight percentage of the four base color fibers after mixing. The four-channel base color fibers are then initially mixed and passed through an airflow channel into a cleaning and dust removal device. After being combed in a carding machine, a sliver with a predetermined four-base color fiber mixing ratio is obtained.

[0220] like Figure 9The four-channel CNC fiber blending system shown mainly consists of a CNC four-channel fiber blending mechanical system, a control system, and a servo system. The CNC four-channel fiber blending mechanical system is the most basic system of the CNC four-channel fiber blending machine, achieving fiber blending through the movement of mechanisms such as the feeding roller, pressing roller, and stripping roller. The control system and servo system use digital and information technology to control the mechanical system, making the fiber blending process simpler, more precise, and more intelligent. It mainly consists of a touch screen, PLC, servo driver, frequency converter, encoder, and variable frequency motors and servo motors.

[0221] Figure 10 The diagram shows a CNC four-channel fiber blending machine system. Four disc cotton grabbers grab fibers of different colors according to their respective flow rates. After passing through the grabbers, axial flow cotton openers, multi-bin cotton blenders, and porcupine beater cotton openers in their respective channels, the fibers enter the cotton bins of the CNC four-channel fiber blending machine. Each cotton bin is equipped with a feed roller, a pressing roller, and a stripping roller. A hydraulic piston pushes the pressing roller and the feed roller to maintain a constant pressure grip. The rotation of the feed roller 4 outputs the base color fibers held between the pressing roller 2 and the feed roller 4. The stripping roller 5 peels off the output base color fibers, which fall onto the carding curtain under the action of airflow and gravity. Then, through the action of the corner nail curtain and airflow, the four layers of base color fibers are grabbed and fed into the cleaning and dust removal device for fine mixing. Finally, the fibers enter the carding machine for carding and are then condensed into a four-base color mixed cotton sliver.

[0222] The hydraulic system 1 maintains a constant gripping force between the pressure roller 2 and the output roller 4. The displacement sensor 3 obtains the distances δ1, δ2, δ3, and δ4 between the pressure roller 2 and the output roller 4. The PLC system controls the speeds V1, V2, V3, and V4 of each feeding roller. By precisely controlling the cotton conveying flow rate of the four channels of the cotton blending machine, the cotton blending ratio can be precisely controlled.

[0223] Regarding the drive system of the CNC four-channel fiber blending machine, the pressing, feeding, and stripping movements of the machine are achieved by the servo drives of the hydraulic system, feeding roller, and stripping roller controlled by the host computer PLC. The operator sends commands to the PLC through the human-machine interface. The PLC converts the commands into analog data that the servo drives can recognize and receive. The servo drives then send analog signals to the servo motors to control their operation. The encoder then feeds back the motor's operation status to the central processing unit to complete the working cycle of the CNC four-channel fiber blending machine. Limit switches are designed as machine operation buttons for starting and stopping the machine.

[0224] The control system of the CNC four-channel fiber blending machine consists of control system hardware and control system software. The control system hardware comprises a host computer, slave computers, and communication interfaces. Depending on the human-machine interaction requirements, the host computer can be a remote computer, a central control room computer, a local industrial computer, or a touch screen. The host computer primarily performs human-machine interaction functions, allowing users to input initial parameters (equipment initial parameters, operating initial parameters), fiber specifications (length, fineness, length unevenness, strength), blending fiber parameters (blending ratio), and equipment operating parameters (hydraulic system pressure, feed roller speed, stripping roller speed) required for operating the CNC four-channel fiber blending machine via keyboard or touch screen. The slave computer can be a programmable logic controller (PLC) or a microcontroller. The slave computer receives instructions from the host computer, converts them into signals with corresponding timing sequences, and sends them to the corresponding drivers. The drivers then convert these signals into pulse voltage (or current) signals, thereby precisely controlling the CNC four-channel fiber blending machine system. Communication between the host computer and the slave computer can be achieved as follows: if the host computer is a touchscreen, RS232 serial communication or RS485 serial communication is used; if the host computer is a microcomputer, traditional serial communication or PROFIBUS-DP two-wire communication is used, with program development tools used to implement communication between the PLC and the host computer; if the host computer is a remote computer or maintenance platform, an industrial 5G router is used, and the Modbus-RTU communication protocol is used to complete the relevant data transmission. The network adapter connects to the internal platform via a SIM card dial-up connection, and the intelligent cloud management platform connects to the internal platform via a virtual serial port and TCP / IP communication protocol, realizing wireless, bidirectional, accurate, and secure data communication between the PLC programmable controller and the network adapter, and between the network adapter and the intelligent cloud management platform. In the slave computer hardware setup, the PLC device controls the servo drive to control the speed of the roller. Through the SVDS module, the input port (CN6 / IN) and the output port (CN6 / OUT) are interconnected to achieve communication and control of the roller speed.

[0225] The control system software includes a host computer touchscreen program and a slave computer PLC program. The host computer touchscreen adjusts process parameters by assigning values ​​to software counters. Analog signals are transmitted to the A / D converter via the touchscreen and SD card. The A / D converter converts the analog signals into digital signals that can be recognized by the PLC controller, thus completing the digital-to-analog conversion and information transmission. The software functionality includes assigning values ​​to the roller speed, designing interrupt programs, and assigning values ​​to basic process parameters to ensure the smooth operation of the process flow.

[0226] Based on a CNC four-channel fiber mixing mechanical system, and according to a full-gamut meshed color mixing model, such as Figure 1As shown, the color control of the formed yarn of the quaternary primary color fiber dual coupling mixed color fiber is achieved by following steps i to ii.

[0227] Step i. Based on the process control principle of the CNC four-channel fiber mixing mechanical system, construct a synergistic control mechanism of the three elements of mixed fiber color, mixing ratio and cotton conveying flow rate.

[0228] In practical applications, the above step i is specifically designed and executed as follows: The process control principle of the CNC four-channel fiber blending machine system is as follows: The bulk densities of the primary color fibers α, β, γ, and α in the four cotton storage boxes of the CNC four-channel fiber blending machine system are ρ1, ρ2, ρ3, and ρ4, and the color values ​​are... The distances between the feed roller and the compression roller surfaces in the four cotton storage boxes are δ1, δ2, δ3, and δ4, respectively. The cotton layer width is b, and the feed roller speed is... The four-channel carding flow rate is After being processed by a CNC four-channel fiber blending machine system, the blending ratio of the four primary color fibers is: The color value of the four-primary-color fiber mixture is...

[0229] The cotton conveying flow rates of the four cotton storage boxes are as follows:

[0230]

[0231] As can be seen from equation (67), when ρ1, ρ2, ρ3, ρ4 and δ1, δ2, δ3, δ4 are all constants, the weight of primary color fiber input by the ...

[0232] Based on the sum A of the fiber output flow rates of the four cotton storage boxes, and The mixing ratios of the four primary color fibers are as follows:

[0233]

[0234] The mixing ratio of the four-channel primary color fibers can be controlled by adjusting the weight of the primary color fibers input per unit time in each feed roller.

[0235] Based on the four-channel feeding of four primary color fibers with a color value of C α (R α G α B α ),C β (R β G β B β ),C γ (R γ G γ Bγ ),C o (R o G o B o The mixing ratio of the four primary color fibers after mixing is... The color value of the four-primary-color fiber mixture is C. b (R b G b B b ),but:

[0236]

[0237] The mechanism for the coordinated regulation of the three elements of color, color ratio, and cotton conveying flow rate in blended fibers is further constructed as follows:

[0238] According to equations (68), (69), and (70), the cotton delivery flow ratio based on the four primary color fibers is... Obtain the mixing ratio of the four primary color fibers and the color value C of the four-primary-color fiber mixture b (R b G b B b )as follows:

[0239]

[0240]

[0241] According to equations (68), (69), and (70), based on the mixing ratio of the four primary color fibers... Obtain the cotton flow rate ratio of the four primary color fibers and the color value C of the four-primary-color fiber mixture b (R b G b B b )as follows:

[0242]

[0243]

[0244] According to equations (68), (69), and (70), the color value C based on the four-primary-color fiber mixture is... b (R b G b B b To obtain the mixing ratio of the four primary color fibers. and the four-color fiber cotton conveying flow ratio as follows:

[0245]

[0246]

[0247] This leads to the acquisition of the three-element control mechanism of a CNC four-channel fiber blending machine, which integrates the control of four-channel feed flow rate, four-primary-color fiber mixing ratio, and four-primary-color fiber mixture color. Figure 11 As shown.

[0248] Step ii. Based on the color values ​​of the mixed fibers at each grid point in the full color gamut grid-based color mixing model, obtain the color mixing ratio of the mixed fibers at each grid point, construct a color control method for the full color gamut grid-based color mixing mode, and combine the three-element synergistic control mechanism of color-mixing ratio-cotton flow rate of the mixed fiber to realize the color control of the formed yarn.

[0249] In practical applications, step ii above is specifically designed to obtain the color ratio of each grid point's color mixing fiber based on the color value of each grid point's color mixing fiber in the full color gamut gridded color mixing model. The color control method for the full color gamut gridded color mixing mode is as follows:

[0250] The color values ​​of all 5×6n×(2m+1) mixing fibers in the full-gamut meshed color mixing model The color values ​​are transformed as follows:

[0251]

[0252] Based on the primary color fiber mixing ratio When changes occur, the color value of the mixed-color fibers also changes, where, let... The constant is given when 1 ≤ j ≤ 6n. brightness value With the chroma value S(i) unchanged, the range of its hue value H(j) is: H(j)∈{0°≤H1~H2~H3~H4~H5~H6≤360v};

[0253] Let i and j be constants, when hour, The hue value H(j) and chroma value S(i) remain unchanged, while its lightness value... The range of variation is:

[0254] set up The constant is i when 0 ≤ i ≤ 7. The hue value H(j) and lightness value If the chroma value S(i) remains constant, the range of its variation is:

[0255] set up The variable is 1 ≤ j ≤ 6n. When 0≤i≤7, The hue value H(j), chroma value S(i), and lightness value The range of variation is:

[0256]

[0257] The full-gamut color mixing model and its color mixing spectrum constructed by the above-designed CNC four-channel color fiber mixing are applied to the following practical applications.

[0258] 1. Acquisition of 65 primary color (seed color) fibers with five lightness surfaces

[0259] Based on the need for color control across the entire color gamut, an isoluminance surface was used as the color matching surface to control hue and chroma. Five gradient luminance values ​​were selected to design the isoluminance surface. Within the isoluminance surface, six gradient hue values ​​were selected for hue design, and high and low chroma values ​​were selected for chroma design. The resulting RGB and HSV color values ​​of the 65 primary color (seed color) fibers under D65 light source, 10° field of view, and Δ = 0.10 conditions are shown in Table 1.

[0260] Table 1

[0261]

[0262]

[0263]

[0264] 2. A full-gamut color matching system based on 65 primary colors (seed colors)

[0265] By sorting the above 65 primary colors (seed colors) according to their lightness, hue, and chroma, a full color gamut color matching model can be obtained, as follows: Figure 12 As shown in Figure 13(a), by combining primary colors of the same brightness, five equal-brightness primary color schemes can be obtained: low brightness, medium-low brightness, base brightness, medium-high brightness, and high brightness. Similarly, by combining primary colors of the same hue, six equal-hue primary color schemes can be obtained: red, yellow, green, cyan, blue, and magenta. Finally, by combining primary colors of the same chroma, high-chroma and medium-chroma primary color schemes and grayscale axes can be obtained, as shown in Figure 13(c).

[0266] 3. Multi-primary color (seed color) fiber color mixing mode based on equal brightness surfaces

[0267] The full-gamut color matching model constructed from the aforementioned 65 primary colors (seed colors) is divided into 5 lightness levels, 3 chroma levels, and 6 hue levels. Each lightness level forms an isolightness surface containing thirteen primary color (seed color) fibers, namely red... yellow green green orchid magenta Ash The derived quaternary dual-coupling color mixing mode forms the following 12 color regions:

[0268]

[0269]

[0270]

[0271]

[0272] The weights of each primary color fiber are discretized as follows:

[0273]

[0274] In an isoluminance surface, the discretized weights of the four primary color fibers in each color region are subjected to quaternary dual-coupling color mixing, resulting in an isoluminance surface meshed color mixing model, as shown below. Figure 14 As shown, the equal-brightness surfaces are divided into 12 color matching areas. The four primary color nodes in each color matching area constitute a local color matching area, which contains 4×6 grid points. The 12 color matching areas contain a total of 4×6×12 grid points. After removing the 36 grid points in the overlapping row in the middle, there are a total of 252 grid points. Therefore, the 5 equal-brightness color matching surfaces and 60 color matching areas of the entire color solid correspond to 5×252=1260 grid points.

[0275] The mixed sample formed by 12 color areas in a color scheme with equal brightness can be represented by the following formula:

[0276]

[0277] (1) Weight of each mixture based on the quaternary dual coupling mode

[0278] Assume there are 12 color mixing regions, and the weight of each mixed sample is... but:

[0279]

[0280] in:

[0281] (2) Seed color fiber mixing ratio in each mixture sample based on the quaternary dual coupling mode

[0282] For the mixed samples in 12 mixed color regions on the same brightness surface, The mixing ratio of the primary color fibers in a mixed sample can be expressed by the following formula:

[0283]

[0284]

[0285]

[0286]

[0287]

[0288]

[0289]

[0290]

[0291]

[0292]

[0293]

[0294]

[0295] It can be uniformly expressed as:

[0296]

[0297] (3) Color values ​​of each mixed sample based on the quaternary dual coupling mode

[0298] Suppose and mix color sample The corresponding color value but:

[0299]

[0300] 4. Construction of a solid full-gamut meshed color mixing model

[0301] The full-gamut meshed color mixing model obtained by merging the above 60 color regions is as follows: Figure 15 As shown.

[0302] (1) Weight of the mixed sample of the solid full-gamut color mixing model

[0303] To provide a unified representation of the full color gamut color mixing model, let:

[0304]

[0305] The weight of the mixed sample can then be expressed as:

[0306]

[0307] Weight matrix of full-gamut mixed samples It can be represented as follows:

[0308]

[0309] (2) Mixing ratio of the mixing sample in the solid full-gamut color mixing model

[0310] set up If the mixing ratio of the four primary color fibers (seed colors) in the mixed sample of the solid full-gamut meshed color mixing model is given, then:

[0311]

[0312] Mixing ratio matrix of full color gamut mixed samples It can be represented as follows:

[0313]

[0314] The solid full-gamut meshed color mixing model, constructed from 65 primary color fibers, contains 60 color matching regions. The mixing ratio of primary color fibers is the same across all color matching regions, with only the color values ​​of the four nodes in each region changing. Based on equation (43), the mixing ratio of 4×6 grid points in the color matching region can be calculated, as shown in Table 2.

[0315] Table 2

[0316]

[0317]

[0318] (3) Color values ​​of the mixed sample in the entity full-gamut color mixing model

[0319] set up Given the color values ​​of the mixed samples in the full-gamut meshed color mixing model, then the color value matrix of the full-gamut mixing model... It can be represented as follows:

[0320]

[0321] 5. A full-gamut color mixing model based on four-channel CNC cotton blending

[0322] (1) Flow rate of a four-channel fiber mixer configured based on a physical full-gamut color mixing model

[0323] CNC four-channel fiber mixer flow rate In the full color gamut color model corresponding to equation (94) Correspondingly, a CNC four-channel fiber mixer is used to prepare the full-gamut color model in equation (94). Corresponding four-channel cotton conveying flow matrix as follows:

[0324]

[0325] (2) Four-channel fiber mixing ratio configured based on the solid full-gamut color mixing model

[0326] CNC four-channel fiber mixer mixing ratio In the full color gamut color model of equation (96) Correspondingly, the full color gamut color model of equation (96) Correspondingly, the mixing ratio matrix of the output mixed fiber aggregate of the four-channel cotton conveyor prepared by the CNC four-channel fiber mixer is... as follows:

[0327]

[0328] (3) Color values ​​of a four-channel blending fiber assembly configured based on a solid full-gamut color mixing model

[0329] CNC four-channel fiber hybrid color value In the full color gamut color model of equation (97) Correspondingly, the full color gamut color model of equation (97) Correspondingly, the color matrix of the mixed fiber aggregate output by the four-channel cotton conveyor prepared using a CNC four-channel fiber mixer is... as follows:

[0330]

[0331] 6. Four-channel carding flow configuration based on full-gamut color mixing model

[0332] In the solid full-gamut gridded color mixing model, which includes 60 color matching regions, the mixing ratio of the primary color fibers is the same across all regions. This means that the four-channel cotton conveying flow rate is the same for the mixed samples across different regions; only the fiber color changes. Here, the four-channel cotton conveying flow rate corresponding to a 4×6 grid point in one color matching region is given. As shown in Table 3.

[0333] Table 3

[0334]

[0335]

[0336] 7. Color values ​​of a four-channel CNC mixing sample based on a solid full-gamut color mixing model

[0337] Suppose a mixed sample The corresponding color value but:

[0338]

[0339]

[0340] Based on the above formulas, the color values ​​of all grid points in the full color gamut color mixing model can be calculated as shown in Tables 4 to 8. Among them, the grid points represented by numbers 1 to 24 are the same as those in Table 2. Table 4 shows the lightness surface. The color values ​​of the grid points are shown in Table 5, which represents the lightness surface. Grid point color values, Table 6 Lightness surface Grid point color values, Table 7 Lightness surface The color values ​​of the grid points are shown in Table 8, which represents the lightness surface. Grid point color values.

[0341] Table 4

[0342]

[0343]

[0344] Table 5

[0345]

[0346] Table 6

[0347]

[0348]

[0349] Table 7

[0350]

[0351]

[0352] Table 8

[0353]

[0354] 8. Four-channel CNC cotton blending color range control based on a physical full-gamut color mixing model

[0355] Based on a solid full-gamut gridded color mixing model and four-channel CNC cotton blending, a full-gamut color matching model containing 5 lightness levels, 3 chroma levels, and 6 hue levels can be constructed. In the isoluminance surface, the four primary color fibers in each color matching region are discretized and their weights are mixed using a quaternary double-coupling method to obtain the isoluminance surface gridded color mixing model. The isoluminance surface is divided into 12 color matching regions. The four primary color nodes in each color matching region constitute a local color matching region containing 4×6 grid points. The 12 color matching regions contain a total of 4×6×12 grid points. After removing the overlapping row of 36 grid points, a total of 252 grid points are contained. Therefore, the 60 color matching regions in the 5 isoluminance color matching surfaces contain a total of 5×6×6×(2×3+1)=1260 grid points, corresponding to the color value of the mixed sample. Convert the color values ​​to HSL format as follows:

[0356]

[0357] Based on the three-element control mechanism of four-channel numerical control color mixing, in the full color gamut gridded color mixing model, the mixing ratio of the four primary color fibers also changes for different grid point coordinates, and the change in the mixing ratio of the four primary color fibers will cause the color of the mixture to change.

[0358] Based on equation (101), let As a constant, when 1≤j≤36, based on equation (44), we know that: brightness value With the chroma value S(i) unchanged, the range of its hue value H(j) is: H(j)∈{0°≤H1~H2~H3~H4~H5~H6≤360°};

[0359] Based on equation (101), let i and j be constants, when At that time, based on equation (44), we know that: The hue value H(j) and chroma value S(i) remain unchanged, while its lightness value... The range of variation is:

[0360] Based on equation (101), let The constant is i when 0 ≤ i ≤ 7. The hue value H(j) and lightness value If the chroma value S(i) remains constant, the range of its variation is:

[0361] Based on equation (101), let Let j be a variable, and satisfy 1 ≤ j ≤ 36. When 0≤i≤7, The hue value H(j), chroma value S(i), and lightness value The range of variation is:

[0362]

[0363] The above-mentioned technical solution designs a full-color gamut color mixing model constructed by CNC four-channel color fiber blending. First, based on the equal brightness division, equal chroma division, and equal hue angle division in the HSV cylindrical color model structure, it constructs multi-element primary color fibers and a multi-element primary color fiber color matching system. Then, it discretizes the weight of the multi-element primary color fibers with a preset gradient to construct a quaternary primary color fiber dual-coupling color mixing mode, namely, a multi-element primary color fiber gridded color mixing model. Finally, by changing the mixing ratio of the primary color fibers, it controls the changes in hue, brightness, and chroma of the mixed fiber colors to achieve full-color gamut color control, constructing a full-color gamut gridded color mixing model and a full-color gamut color spectrum. Based on the above design, it further utilizes a CNC four-channel fiber blending mechanical system to achieve color control of the formed yarn of quaternary primary color fiber dual-coupling mixed fibers, thereby efficiently realizing the color control of the formed yarn and improving the efficiency of actual color control.

[0364] The embodiments of the present invention have been described in detail above with reference to the accompanying drawings. However, the present invention is not limited to the above embodiments. Within the scope of knowledge possessed by those skilled in the art, various changes can be made without departing from the spirit of the present invention.

Claims

1. A full-gamut color mixing model constructed by CNC four-channel color fiber mixing, characterized in that: First, based on the equal brightness division, equal chroma division, and equal hue angle division in the HSV cylindrical color model structure, the corresponding physical primary color fibers that are dyed with the color values ​​of each node in the HSV cylindrical color model structure as reference values ​​are obtained, forming a multi-dimensional primary color fiber. The color value of each physical primary color fiber is detected and obtained. The polar coordinate value of the corresponding color value of each physical primary color fiber in the HSV cylindrical color model is used to construct the polar coordinate value of the corresponding physical primary color fiber, thus constructing a multi-dimensional primary color fiber color matching system. Then, the weight of the multi-primary color fiber is discretized with a preset gradient, and quaternary primary color fibers are selected on each equal brightness surface to be mixed with discrete weights to construct a dual coupling color mixing mode of quaternary primary color fibers, namely, a multi-primary color fiber meshed color mixing model. Finally, based on the multi-primary color gridding color mixing model, by changing the mixing ratio of the primary color fibers, the hue of the mixed color fibers can be controlled within the range of 0~360°, the brightness within the range of 0~1, and the chroma within the range of 0~1, thereby achieving full color gamut color control and constructing a full color gamut gridding color mixing model and a full color gamut color mixing spectrum.

2. The full-gamut color mixing model constructed by CNC four-channel color fiber mixing according to claim 1, characterized in that, Includes the following steps: Step A. Based on the HSV cylindrical color model structure, divide the gray lightness change from 0 to 1 along its central axis into five equally spaced lightness levels. Divide the horizontal cross-section circle into three equally spaced chroma levels from the center to the outer radius, corresponding to the chroma change from 0 to 1. Divide the horizontal cross-section circle into six preset chroma levels at each position of the 60° hue difference on the outer perimeter. This will obtain the physical base color fibers corresponding to the dyeing of each node color value in the HSV cylindrical color model structure as reference values, thus forming multi-color fibers. Step B. Detect and obtain the color value of each physical primary color fiber, and construct the polar coordinate value of the corresponding physical primary color fiber by using the polar coordinate value of the corresponding color value of each physical primary color fiber in the HSV cylindrical color model, and construct a multi-dimensional primary color fiber color matching system. Step C. Discretize the weight of the multi-primary color fiber with a preset gradient. First, based on the combination of multi-primary color fibers on each equal brightness surface, construct a quaternary primary color fiber mixing mode. Then, select quaternary primary color fibers on each equal brightness surface and mix them with discrete weights to construct a dual coupling mixing mode of quaternary primary color fibers, namely, a multi-primary color fiber gridded mixing model. Step D. Based on the multi-primary color fiber grid-based color mixing model, by changing the grid point coordinates to vary the multi-primary color fiber mixing ratio within the range of 0-100%, the hue H of the primary color fiber mixture is adjusted within the range of 0°-360°, the chroma S within the range of 0-1, and the lightness V within the range of 0-1. This constructs a full-gamut grid-based color mixing model, and corresponds it to the coordinates of each grid point in the full-gamut grid-based color mixing model. This constructs the grid point color mixing fiber weight matrix, the grid point color mixing fiber mixing ratio matrix, the grid point color mixing fiber color spectrum matrix, as well as the isolightness color spectrum matrix, isochroma color spectrum matrix, and isohue color spectrum matrix in the full-gamut grid-based color mixing model.

3. The full-gamut color mixing model constructed by CNC four-channel color fiber mixing according to claim 2, characterized in that: In step A, based on the HSV cylindrical color model structure, and considering the gray brightness variation of 0-1 corresponding to its central axis from top to bottom, the following is defined: Divide the data into equal brightness value gradients to obtain low brightness values. To high brightness value And obtain the equal brightness value gradient as Δ, and the gradient brightness value. as follows: (1) For the outer perimeter of a horizontal cross section The hue range is defined. Equal hue division using a 60° hue gradient to Obtain gradient hue values as follows: (2) For a horizontally cross-section circle with a chroma variation of 0-1 from the center outwards, the definition is... The three chromaticities are divided into equal intervals as follows: (3) Based on the nodes where the lightness plane, hue plane, and chroma plane intersect, the corresponding solid primary color fibers are dyed with the color value of each node as a reference value, thus forming multi-color primary color fibers.

4. The full-gamut color mixing model constructed by CNC four-channel color fiber mixing according to claim 2, characterized in that: In step B, the color value of each physical primary color fiber is detected and obtained. The polar coordinate value of the corresponding physical primary color fiber is constructed using the polar coordinate value of the corresponding color value of each physical primary color fiber in the HSV cylindrical color model. Specifically, for colored primary color fibers, and Then it is related to the hue value Correspondingly, take its polar coordinates. , and chroma value Correspondingly, its polar radius coordinates are taken as , and brightness value Correspondingly, its height coordinates are taken as Then each primary color fiber 3D polar coordinates of the corresponding node as follows: (5) For gray base color fibers, and Then, it is related to the hue value of the sample. Correspondingly, its polar coordinates are... , and the chroma value of the sample Correspondingly, its polar radius coordinates are taken as , and the sample brightness value Correspondingly, its height coordinates are taken as Then each gray base color fiber 3D polar coordinates of the corresponding node as follows: (6) Constructing a multi-primary-color fiber color matching system includes constructing a multi-primary-color fiber color matching system based on equal value planes, constructing a multi-primary-color fiber color matching system based on equal hue planes, and constructing a multi-primary-color fiber color matching system based on equal chroma planes. Among them, the multi-primary-color fiber color matching system constructed based on equal value planes is as follows: Based on the fact that each lightness surface contains 13 nodes, totaling Each node is used to obtain the polar coordinates of the corresponding node in the HSV cylindrical color model for each primary color fiber, thus constructing the corresponding color solid. The three-dimensional polar coordinates of each node on each isoluminity surface are as follows: (7) Based on the aforementioned five isoluminance surfaces, the three-dimensional polar coordinates of all nodes are integrated into a matrix of 5 rows and 13 columns, totaling 65 nodes. This matrix constitutes the three-dimensional polar coordinate matrix of the multi-element primary color fiber color matching system based on isoluminance surfaces. as follows: (8) Corresponding to 5 equal lightness surfaces, the primary color fiber color value corresponding to each node on each equal lightness surface. as follows: (9) Based on the five equal brightness surfaces mentioned above, the color values ​​of all nodes are integrated into a matrix of 5 rows and 13 columns, totaling 65 nodes. This matrix constitutes the color matrix of the multi-primary color fiber color matching system based on equal brightness surfaces. as follows: (10) The following multi-primary color matching system is constructed based on isochromatic surfaces: Based on serialized polar coordinate values Construct 6 isochromatic surfaces, each with 10 nodes corresponding to the primary color and 5 nodes corresponding to the primary gray, totaling [number missing]. The three-dimensional polar coordinates of each node on each isochromatic surface are as follows: (11) Based on the above-mentioned isochromatic surfaces Construct a three-dimensional polar coordinate matrix for each node on each isochromatic surface using 1 node corresponding to the primary color and 5 nodes corresponding to the primary gray color. as follows: (12) Obtain the three-dimensional polar coordinate matrix of the multi-primary color fiber color matching system based on isochromatic surfaces. as follows: (13) Based on 10 nodes corresponding to the primary color and 5 nodes corresponding to the primary gray on each isochromatic surface, a total of [number] nodes are included. The color values ​​of each node on each hue plane are obtained as follows: (14) Obtain the color value matrix of the primary color fiber corresponding to each node on each hue plane. as follows: (15) This involves integrating all nodes to obtain a color matrix for a multi-element primary color fiber color matching system based on isochromatic surfaces. as follows: (16) A multi-element primary color matching system is constructed based on isochromatic surfaces as follows: Based on serialized polar angles and polar radius coordinates ,when , and If we construct two isochromatic surfaces and one grayscale axis respectively, then the values ​​on the two isochromatic surfaces and one grayscale axis will be... The three-dimensional coordinates of each node are as follows: (17) The three-dimensional coordinate values ​​of each node on the two isochromatic surfaces and one grayscale axis are integrated into a multi-element primary color coordinate matrix. The three-dimensional coordinate matrix representation of the multi-element primary color fiber color matching system based on isochromatic surfaces is obtained as follows: (18) Based on one grayscale axis and two isochromatic surfaces The primary color fiber color values ​​corresponding to each node are as follows: Grayscale axis: ; Chromaticity surface: ; Chromaticity surface: ; The primary color fiber color values ​​corresponding to each node on the two isochromatic surfaces and one grayscale axis are integrated into a multi-dimensional primary color matrix. This yields a color matrix for a multi-element primary color fiber color matching system based on isochromatic surfaces. as follows: (19)。 5. The full-gamut color mixing model constructed by CNC four-channel color fiber mixing according to claim 2, characterized in that: In step C, based on each brightness level... The color values ​​of the primary color fibers corresponding to the 13 nodes on the color matching surface are: , , , , , , , , , , , , Corresponding to the 13 primary color fibers, their weights are as follows: ( ; ; ),and Then with The corresponding color values ​​are as follows: (20) The weights of each primary color fiber are discretized as follows: (21) The color values ​​of the discretized weights of each primary color fiber are: (22) based on Each lightness plane contains thirteen primary color fibers: red ( , ),yellow( , ),green( , ),green( , ),orchid( , ),magenta( , ),Ash( The corresponding color values ​​are: (23) and: (twenty four) On a surface of equal brightness, the following 12 mixing regions are constructed using different weight combinations of the four primary color fibers: (25) And on the same brightness surface, the following 12 color mixing areas are constructed using different color combinations of the four primary color fibers: (26) Based on 5 equal lightness surfaces, the 12 mixed regions on each lightness surface, totaling 60 mixed regions, are uniformly represented as follows: (27) Based on 5 equal value planes, the 12 color mixing regions of each value plane, totaling 60 color mixing regions, are uniformly expressed as follows: (28) Then, quaternary primary color fibers are selected on each equal brightness surface and mixed with discrete weights to construct a dual coupling color mixing mode of quaternary primary color fibers, namely a multi-primary color fiber gridded color mixing model. First, Equation (21) is substituted into Equation (25) to obtain the quaternary gridded color mixing mode of 12 mixing regions on the equal brightness surface as follows: (29) Based on equation (29), quaternary dual coupling color mixing is performed in 12 mixing regions to obtain the weight of each mixed sample on the isoluminity surface. The following describes how to calculate the fiber weight of a mixed-color fiber based on a quaternary dual coupling mode. (30) in: ; Then based on equation (30) and ;against , , , , , , , , , , , The 12 color mixing regions, wherein the mixing ratio of each color mixing fiber is as follows, realize the mixing ratio of the primary color fiber in each color mixing fiber based on the quaternary dual coupling mode; ： (31) ： (32) ： (33) ： (34) ： (35) ： (36) ： (37) ： (38) ： (39) ： (40) ： (41) ： (42) Finally, based on equation (30) and ;against , , , , , , , , , , , The 12 color mixing regions are obtained as follows, based on the quaternary dual coupling mode, to obtain the color values ​​of each color mixing fiber. Set with mixed color fibers The corresponding color value ,but: (43) Set with mixed color fibers The corresponding color value ,but: (44) Set with mixed color fibers The corresponding color value ,but: (45) Set with mixed color fibers The corresponding color value ,but: (46) Set with mixed color fibers The corresponding color value ,but: (47) Set with mixed color fibers The corresponding color value ,but: (48) Set with mixed color fibers The corresponding color value ,but: (49) Set with mixed color fibers The corresponding color value ,but: (50) Set with mixed color fibers The corresponding color value ,but: (51) Set with mixed color fibers The corresponding color value ,but: (52) Set with mixed color fibers The corresponding color value ,but: (53) Set with mixed color fibers The corresponding color value ,but: (54)。 6. The full-gamut color mixing model constructed by CNC four-channel color fiber mixing according to claim 2, characterized in that: In step D, based on The 12 color mixing regions under each lightness plane, through each color mixing region After meshing and color mixing, the total obtained is For each color-mixing fiber, first merge the 12 color-mixing regions under each equal brightness surface to obtain 5 equal brightness color matching models, and then merge the 5 equal brightness color matching models to obtain a full color gamut meshed color-mixing model. Among them, based on Twelve color mixing regions under each lightness plane are defined as follows: (55) Based on equation (30), the weight of each color mixing fiber in the full color gamut meshed color mixing model ( ; )as follows: (56) in: ; Based on equation (36), all are obtained. A gridded mixed-color fiber, set ( The weight matrix of all mixed-color fibers is as follows, which is the weight matrix of mixed-color fibers at grid points in the full-gamut gridded color mixing model; (57) Based on equations (43) to (54), let Given the mixing ratio of the primary color fibers in each color mixing fiber in the full-gamut meshed color mixing model, we obtain: (58) Based on equation (57), all are obtained The mixing ratio of each gridded color-mixing fiber, assuming the mixing ratio matrix of all color-mixing fibers is... ( The following is the mixing ratio matrix of the mesh point mixing fibers in the full-gamut meshed color mixing model; (59) Further based on the weight of the blended fibers of formula (36) as follows: (60) Based on the color mixing fiber in the full color gamut meshed color mixing model Color value Based on equation (39), the following is obtained: (61) Based on equations (23) and (24), we obtain the results related to... The corresponding color values ​​are as follows: (62) Then all in the full color gamut meshed color mixing model The color value of each gridded color-mixed fiber as follows: (63) in: ; Based on equation (42), all The color values ​​of each gridded color mixing fiber are then used to construct the color spectrum matrix of the gridded color mixing fiber in the full color gamut gridded color mixing model. ( )as follows: (64)。 7. A colorimetric chromatogram based on the full-gamut color mixing model constructed by CNC four-channel color fiber mixing according to any one of claims 1 to 6, characterized in that: Based on a CNC four-channel fiber mixing mechanical system, and according to a full-gamut meshed color mixing model, the following steps are followed. To the steps This enables color control of the formed yarn of quaternary primary color fiber dual-coupling mixed color fiber; step Based on the process control principle of the CNC four-channel fiber blending mechanical system, a synergistic control mechanism of the three elements of fiber color, blending ratio, and cotton conveying flow rate is constructed. step Based on the color values ​​of the mixed fibers at each grid point in the full color gamut grid-based color mixing model, the color mixing ratio of the mixed fibers at each grid point is obtained, a color control method for the full color gamut grid-based color mixing mode is constructed, and the color control mechanism of the three elements of mixed fiber color, color mixing ratio and cotton flow rate is combined to realize the color control of the formed yarn.

8. The colorimetric chromatogram based on the full-gamut color mixing model constructed by CNC four-channel color fiber mixing according to claim 7, characterized in that: The steps The process control principle in the CNC four-channel fiber blending machine system is as follows: base color fiber The bulk density of the cotton stored in the four storage bins of the CNC four-channel fiber blending machine system is: Color value , , , The distance between the surfaces of the feed roller and the compression roller in the four cotton storage boxes is... The cotton layer width is b, and the feed roller speed is... The four-channel carding flow rate is ; After being processed by a CNC four-channel fiber blending machine system, the blending ratio of the four primary color fibers is: The color value of the four-primary-color fiber mixture is ; The cotton conveying flow rates of the four cotton storage boxes are as follows: (67) From equation (67), it can be seen that when and When all are constant, the weight of primary color fiber input by the ... Based on the sum A of the fiber output flow rates of the four cotton storage boxes, and The mixing ratios of the four primary color fibers are as follows: (69) The mixing ratio of the four-channel primary color fibers can be controlled by adjusting the weight of the primary color fibers input per unit time in each feed roller. Based on the color values ​​of the four-channel fed four-primary-color fibers The mixing ratio of the four primary color fibers after mixing is: The color value of the four-primary-color fiber mixture is ,but: (70) The mechanism for the coordinated regulation of three key elements in blended fiber production—color, blending ratio, and cotton conveying flow rate—is as follows: According to equations (68), (69), and (70), the cotton delivery flow ratio based on the four primary color fibers is... Obtain the mixing ratio of the four primary color fibers and the color values ​​of the four primary color fiber mixture as follows: (71) (72) According to equations (68), (69), and (70), based on the mixing ratio of the four primary color fibers... Obtain the cotton conveying flow ratio of the four primary color fibers and color values ​​of the four primary color fiber mixture as follows: (73) (74) According to equations (68), (69), and (70), the color values ​​based on the four primary color fiber mixture are... Obtain the mixing ratio of the four primary color fibers and the cotton conveying flow ratio of the four primary color fibers as follows: (75) (76) This leads to the acquisition of the three-element control mechanism of a CNC four-channel fiber blending machine that integrates the four-channel feed flow rate, the four-primary-color fiber mixing ratio, and the color of the four-primary-color fiber mixture.

9. The colorimetric chromatogram based on the full-gamut color mixing model constructed by CNC four-channel color fiber mixing according to claim 7, characterized in that: The steps In this paper, based on the color values ​​of the color mixing fibers at each grid point in the full color gamut gridded color mixing model, the color mixing ratio of each color mixing fiber at each grid point is obtained, and the color control method of the full color gamut gridded color mixing mode is constructed as follows: All full-gamut meshed color mixing models The color value of each mixed fiber The color values ​​are transformed as follows: (65) Based on the primary color fiber mixing ratio When changes occur, the color value of the mixed-color fibers also changes, where, let... For a constant, when hour, brightness value and chroma value Its hue value remains unchanged. The range of variation is: ; set up For a constant, when hour, hue value and chroma value Its brightness value remains unchanged. The range of variation is: ; set up For a constant, when hour, hue value and brightness value Its chroma value remains unchanged. The range of variation is: ; set up It is a variable, and satisfies , , hour, hue value Chroma value and brightness value The range of variation is: (66)。

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