Full-color gamut color mixing model construction based on cylindrical color model and its formed yarn color tone regulation method

Abstract

The present application relates to the construction of a full-color gamut color mixing model based on a cylindrical color model and a yarn color regulation method, first, based on the multi-element base color fiber obtained from the cylindrical color model, a cylindrical full-color gamut color matching model corresponding to the multi-element base color fiber is constructed; then, by constructing a ternary nonlinear coupling-superposition color mixing model, a multi-element base color fiber grid color mixing model is obtained; then, through the integration of node coordinates and grid point coordinates, a full-color gamut grid color mixing model is obtained; finally, based on the structure of the numerical control three-channel rotor spinning system, the numerical control rotor spinning forming process about the ternary nonlinear coupling-superposition color mixing sample, the yarn color-mixing ratio-giving roller speed ratio three-element synergistic regulation mechanism is constructed, and according to the full-color gamut grid color mixing model, the spinning process of the numerical control three-channel rotor spinning system about the color mixing yarn is constructed, and thus the yarn color regulation can be efficiently realized, and the efficiency of actual color regulation is improved.

Description

Technical Field

[0001] This invention relates to the construction of a full-gamut color mixing model based on a cylindrical color model and a method for color control of the formed yarn, belonging to the field of color control technology in the textile industry. Background Technology

[0002] In the existing spinning process, different colored fibers are selected from dyed fibers, solution-dyed fibers or natural colored fibers as base color fibers, and colored yarn or colored yarn is spun through methods such as manual blending, patchwork blending, cotton bale blending, drawing and sliver blending, roving blending, and fine yarn blending.

[0003] 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. This requires constructing a colored yarn color model and a full-gamut color control system, clarifying the correspondence between the finished yarn color and the base fiber color and their mixing ratio; and quickly designing color matching schemes based on sample colors, and rapidly and accurately prototyping and recoloring. Therefore, how to perform color mixing and color innovation is one of the key technologies in colored yarn and colored yarn production.

[0004] Currently, the yarn spinning industry has not yet established the concept of full color gamut matching. The commonly used color matching methods are either adjacent color matching or the three-primary-color pyramid-shaped color matching method based on the theory of three primary colors. In terms of color matching mode, point-to-point sample color matching is the main method, and there are relatively few working modes that launch a series of color matching schemes based on systematic color innovation.

[0005] The color matching problem in colored yarn spinning is essentially about how to obtain all visible colors by mixing the base colors of several fibers. Applying Newton's three primary colors principle or the four primary colors (seed colors) principle from printing to colored yarn spinning remains a significant obstacle. 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 spinning full-gamut mixed-color yarn to achieve colored yarn spinning. Currently, the following four bottlenecks need to be addressed:

[0006] 1. Based on the characteristics of the 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.

[0007] 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.

[0008] 3. How to construct a three-element synergistic control mechanism of multi-channel feed ratio, primary color (seed color) fiber mixing ratio, and finished yarn color through rotor spinning multi-channel CNC spinning system and its CNC algorithm is the key technology to realize the control of hue, chroma, brightness and color of finished yarn in the full color gamut.

[0009] 4. How to combine the three-element synergistic control mechanism of the three-channel rotor spinning machine with the full-gamut gridded color matching model, and obtain the base color (seed color) fiber mixing ratio of the corresponding full-gamut colored yarn based on the color value of the full-gamut colored yarn provided by the full-gamut gridded model, and then obtain the rotor spinning process of the full-gamut colored yarn from the base color (seed color) fiber mixing ratio of the full-gamut colored yarn, is the key to realizing full-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

[0010] The technical problem to be solved by the present invention is to provide a full color gamut color mixing model based on a cylindrical color model, which uses multiple primary colors as a basis and applies a grid to efficiently obtain the full color gamut color spectrum in the color mixing mode.

[0011] To solve the above-mentioned technical problems, the present invention adopts the following technical solution: The present invention designs a full color gamut color mixing model based on a cylindrical color model. First, taking the nodes formed by the intersection of the gradient equal brightness surface, gradient equal chroma surface, and gradient equal hue surface of the cylindrical color model as the reference, the polar coordinate values ​​and color values ​​of the nodes are obtained. Then, based on the color values ​​of each node, the multi-color primary color fibers corresponding to each node are obtained by dyeing, and a cylindrical full color gamut color matching model constructed from multi-color primary color fibers, as well as its equal brightness color matching surface, equal hue color matching surface, and equal chroma color matching surface are obtained.

[0012] Then, the weight of the multi-color fiber is discretized with a preset gradient. On the same brightness surface, two adjacent colored and gray fibers are selected in sequence and mixed with discrete weights to construct a ternary nonlinear coupling-superposition color mixing model, namely the multi-color fiber mesh color mixing model.

[0013] Finally, the node coordinates of the primary color fibers on each equal brightness surface are integrated with the grid point coordinates of each group of ternary nonlinear coupling-superposition color mixing models to obtain the full color gamut gridded color mixing model and its equal brightness, equal hue, and equal chroma color mixing color spectrum.

[0014] Corresponding to the above, the technical problem to be solved by the present invention is to provide a method for controlling the color of shaped yarn by applying a full-gamut color mixing model based on a cylindrical color model. Based on a CNC three-channel rotor spinning system, the full-gamut gridded color mixing model is applied to efficiently control the color of the yarn.

[0015] To solve the above-mentioned technical problems, the present invention adopts the following technical solution: The present invention designs a full color gamut color mixing model based on a cylindrical color model and a method for controlling the color of the formed yarn. Based on a CNC three-channel rotor spinning system, according to the full color gamut gridded color mixing model, the color control of the formed yarn of the ternary nonlinear coupling-superposition color mixing sample is realized by following steps i to ii.

[0016] Step i. Based on the structure of the CNC three-channel rotor spinning system, and the CNC rotor spinning forming process of ternary nonlinear coupling-superimposed color mixing sample, and the three-element coordinated control mechanism of yarn color-color mixing ratio-feeding roller speed ratio, construct the spinning mechanism of full-color gamut colored yarn based on the CNC three-channel rotor spinning system;

[0017] Step ii. Obtain the color mixing ratio of each grid point color sample by using the color value of each grid point color sample in the full color gamut gridded color mixing model. Based on the spinning mechanism of full color gamut colored yarn based on the CNC three-channel rotor spinning system, construct the spinning process of the CNC three-channel rotor spinning system for color mixing yarn to realize the color control of the formed yarn.

[0018] The full-gamut color mixing model construction based on a cylindrical color model and its method for color control of formed yarn described in this invention have the following technical effects compared with the prior art:

[0019] (1) The full-gamut color mixing model based on the cylindrical color model and the color control method of the formed yarn designed in this invention firstly constructs a cylindrical full-gamut color matching model corresponding to the multi-primary color fibers obtained by the cylindrical color model; then, by constructing a ternary nonlinear coupling-superposition color mixing model, a gridded color mixing model of multi-primary color fibers is obtained; next, by integrating the node coordinates and grid point coordinates, a full-gamut gridded color mixing model is obtained; finally, based on the structure of the CNC three-channel rotor spinning system, the CNC rotor spinning forming process of the ternary nonlinear coupling-superposition color mixing sample, the three-element coordinated control mechanism of yarn color-color mixing ratio-feeding roller speed ratio are constructed, and according to the full-gamut gridded color mixing model, the spinning process of the CNC three-channel rotor spinning system for the mixed yarn is constructed, thereby enabling efficient color control of the formed yarn and improving the efficiency of actual color control. Attached Figure Description

[0020] Figure 1This is a flowchart illustrating the construction of a full-gamut color mixing model based on a cylindrical color model and the color control method for its formed yarn, as designed in this invention.

[0021] Figure 2 This is a schematic diagram of the HSL color model and its corresponding cylindrical color solid in the design of this invention;

[0022] Figure 3 This is a schematic diagram of the full-gamut color mixing mesh model and the full-gamut meshed color mixing model in the design of this invention;

[0023] Figure 4 This is a schematic diagram of the architecture of the CNC three-channel rotor spinning system in this invention.

[0024] Figure 5 This is a schematic diagram of the structure of the CNC three-channel rotor spinning system in this invention.

[0025] Figure 6 This invention relates to the three-element control mechanism of three-channel CNC rotor spinning.

[0026] Figure 7 This is a schematic diagram of the full-gamut gridded color mixing model in the design and application embodiment of the present invention;

[0027] Figure 8a This is a schematic diagram of the medium brightness surface base color fiber color matching system of the full color gamut gridded color mixing model in the design and application embodiment of the present invention;

[0028] Figure 8b This is a schematic diagram of the medium hue surface primary color fiber color matching system in the full color gamut gridded color mixing model of the present invention.

[0029] Figure 8c This is a schematic diagram of the medium hue surface primary color fiber color matching system in the full color gamut gridded color mixing model of the present invention.

[0030] Figure 9a The gray fiber in the design and application embodiment of this invention Schematic diagram of blend ratio variation curve;

[0031] Figure 9b Colored fibers are the design and application examples of this invention. Schematic diagram of blend ratio variation curve;

[0032] Figure 9c Colored fibers are the design and application examples of this invention. Schematic diagram of blend ratio variation curve;

[0033] Figure 10 This is a schematic diagram of the full color gamut color mixing model in the design and application embodiment of the present invention;

[0034] Figure 11 This is a schematic diagram of the full color gamut color mixing model unfolded according to the equal brightness surface in the design and application embodiment of the present invention. Detailed Implementation

[0035] The specific embodiments of the present invention will be further described in detail below with reference to the accompanying drawings.

[0036] Newton discovered that sunlight, when split by a prism, forms a spectrum composed of six colors: red, yellow, green, cyan, blue, and magenta. Based on research in physical optics, it was found that visible light is an electromagnetic wave with wavelengths ranging from 380 nm to 780 nm, and different wavelengths of visible light correspond to different colors. By clarifying the mechanism by which light produces different colors, a wavelength-color distribution model was constructed, and a color spectrum of light was obtained.

[0037] The color of light corresponding to wavelength, obtained based on physical optics theory, is called the theoretical or physical color of visible light. To clarify the mechanism of physical color presentation, physical optics research methods are used to obtain the reflectance of a measured object to visible light in the 380nm–780nm range under a standard light source and express it as the tristimulus color values ​​of the measured object. These tristimulus color values ​​are then used to label the color of the measured object. Based on this, by clarifying the correspondence between wavelength, reflectance, tristimulus color values, and color, color models that express color distribution patterns based on tristimulus color values ​​are constructed. Examples include the RGB color model and the CMY color model. Therefore, a color model is a digital model constructed based on the physical properties of light and its tristimulus color values.

[0038] Physiological and anatomical studies of the visual nervous system have revealed that the visible light signals sensed by the human eye are transmitted to the brain through rod cells and three cone cells. The brain then performs biological processing to convert the perceived visible light into colors with a superposition effect of the three primary colors and a brightness effect, thus obtaining human visual color. The human eye can perceive the hue, chroma, and lightness of colors, which are typically used to characterize the visual color of an object. The color of an opaque object depends on the wavelength of the reflected light, the color of a transparent object depends on the wavelength of the incident light, and the color of a translucent object depends on both the wavelength of the reflected light and the wavelength of the incident light. Typically, the reflectance of the tested object to visible light with wavelengths from 380nm to 780nm is measured under a standard light source and expressed as the tristimulus color value of the tested object. This tristimulus color value is then converted into a visual color value expressed by color visual characteristics such as hue, chroma, and lightness. Based on this, by clarifying the correspondence between wavelength, reflectance, tristimulus color value, visual color value, and color, a color solid model expressing the color distribution law based on visual color values ​​is constructed. Examples include the HSI model, HSV model, and Lab model. Therefore, the color solid model is a digital model built based on the visual characteristics of light and its visual color values.

[0039] Applying Newton's principle of the three primary colors of light and based on the anatomical structure of rod cells and three cone cells in the human optic nerve, a color mixing system is constructed using four primary color fibers (magenta-cyan-yellow-gray) or seven primary color fibers (red-yellow-green-cyan-blue-magenta-gray). A multi-primary color fiber grid mixing space is obtained through grid-based mixing of the seven primary color fibers with discrete gradient weights. By varying the grid point coordinates, the mixing ratio of the multi-primary color fibers can be changed within the range of 0-100%, thus adjusting the hue (H) of the primary color fiber mixture 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 grid color mixing model constructed in this way is called the full-gamut grid color mixing model.

[0040] Within a gridded mixing space, the coordinates of each grid point reveal the corresponding combination of primary color fibers and their mixing ratios. Mixed samples corresponding to each grid point are then prepared using these mixing ratios. Based on these 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 fiber mixing ratios, and theoretical color values ​​of the mixed samples in the gridded mixing model, a multi-primary color mixing model expressing the color distribution law based on a multi-primary color fiber mixing system is constructed. Therefore, the multi-primary color mixing model is a digital model constructed based on the mixing characteristics of primary color fibers and their visual color values.

[0041] The full-gamut color mixing model designed in this invention is based on a cylindrical color model. First, the nodes formed by the intersection of the gradient isoluminance surface, gradient isochroma surface, and gradient isohue surface of the cylindrical color model are used as a reference to obtain the polar coordinate values ​​and color values ​​of the nodes. Then, the multi-color fibers corresponding to each node are obtained by dyeing based on the color values ​​of each node, and a cylindrical full-gamut color matching model constructed from multi-color fibers, as well as its isoluminance color matching surface, isohue color matching surface, and isochroma color matching surface are obtained.

[0042] Then, the weight of the multi-color fiber is discretized with a preset gradient. On the same brightness surface, two colored and gray fibers with adjacent hues are selected in turn and mixed with discrete weights to construct a ternary nonlinear coupling-superposition color mixing model, namely the multi-color fiber mesh color mixing model.

[0043] Finally, the node coordinates of the primary color fibers on each equal brightness surface are integrated with the grid point coordinates of each group of ternary nonlinear coupling-superposition color mixing models to obtain the full color gamut gridded color mixing model and its equal brightness, equal hue, and equal chroma color mixing color spectrum.

[0044] Regarding the above design, in practical applications, this patent specifically implements the following steps A to F.

[0045] Step A. Based on the color gamut range of the cylindrical color model constructed using HSL as the standard, divide it into several equal lightness surfaces based on its lightness value range of 0-1 with corresponding preset gradients, divide it into 6 equal hue surfaces based on its hue value range of 0° to 360° with corresponding preset gradients, and divide it into several equal chroma surfaces based on its chroma value range of 0-1 with corresponding preset gradients.

[0046] In practice, this is based on the brightness value gradient levels in the preset primary color division method. The hue value gradient levels τ = 1, 2, 3, 4, 5, 6 and the chroma value levels μ = 0, 1 are used. With the chroma value level μ = 1, the hue value gradient levels and the lightness value gradient levels are serialized to construct 6 × (p+1) corresponding colored fibers. With the chroma value level μ = 0 and the hue value gradient level τ = 0, the lightness value gradient levels are serialized to construct (p+1) corresponding gray fibers. Then, a total of 7 × (p+1) primary color fibers are formed by each colored fiber and each gray fiber to constitute a multi-primary color fiber color matching system.

[0047] Step B. Using the intersection points formed by the above equal value planes, equal hue planes, and equal chroma planes as nodes representing the cylindrical color model, give the polar coordinate values ​​and theoretical color values ​​of each node in the cylindrical color model.

[0048] Step C. Based on the theoretical color values ​​of each node in the cylindrical color model, dye the fibers corresponding to each node, weigh each fiber in equal amounts as the fiber weight of each node, and obtain the color value of each fiber as the fiber color value of each node.

[0049] In practical applications, based on the requirement of full color gamut matching, steps A to C above are performed as follows: Within the HSL color model, dividing the lightness with a gradient of 1 / p yields (p+1) lightness values; dividing the hue with a gradient of 60° yields 6 hue values; and dividing the chroma with a gradient of 1 yields two chroma values. Mesh-dividing the HSL color model along these three dimensions results in (p+1) equal lightness surfaces, 6 hue values, 1 maximum chroma surface, and 1 grayscale axis. A total of 7×(p+1) nodes are obtained, with 7 equal lightness nodes on each lightness surface, 2×(p+1) equal hue nodes on each equal hue surface, 6×(p+1) nodes with a chroma value of 1 on the maximum chroma surface, and (p+1) nodes with a chroma of 0 on the grayscale axis. Based on the color values ​​of 7×(p+1) nodes in the HSL color model, 7×(p+1) dyed samples with different hues, brightness, and chroma were obtained through dyeing. The color values ​​of the 7×(p+1) dyed samples were obtained by measuring with a colorimeter. The measured color values ​​were then used as the color values ​​of the multi-color fibers corresponding to the above 7×(p+1) nodes. At the same time, the polar coordinate values ​​of the 7×(p+1) nodes in the HSL color model were used as the node polar coordinate values ​​corresponding to the 7×(p+1) multi-color fibers.

[0050] set up Within the brightness range of 0 to 1, from low brightness value L1 to high brightness value L p+1 If the gradient difference of the lightness value is Δ and 0 < Δ ≤ 1 / (p+1), then the gradient lightness value can be obtained. as follows:

[0051]

[0052] Let τ = 1, 2, 3, 4, 5, 6. Within the hue range of 0° to 360°, uniformly obtain gradient hue values ​​H. τ And make:

[0053]

[0054] Let μ = 0, 1. Within the chroma range of 0 to 1, take the low chroma value S0≈0 for gray fibers and the high chroma value S2≈1 for colored fibers. Then, the gradient chroma value S can be obtained. μ as follows:

[0055] S μ ≈μ (μ=0,1) (3)

[0056] set up τ = 1, 2, ..., 5, 6; μ = 1, with serialized hue values ​​H τ Series of brightness values Serialized chroma values ​​S μUsing this as a reference, 6×(p+1) primary color samples of colored fibers can be obtained. set up τ = 0; μ = 0, with hue value H o =0, serialized brightness value Chroma value S o By preparing gray fibers with a base value of 0, (p+1) gray fiber primary color samples can be obtained. A total of (6+1)×(p+1) primary color fiber samples can be obtained.

[0057] The 7×(p+1) primary color fiber samples obtained above can be respectively composed of (p+1) equal lightness surfaces, 1 equal chroma surface, 1 grayscale axis, and 6 equal hue surfaces. Based on the color values ​​of the primary 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.

[0058] Suppose there are 6 × (p+1) colored fiber dyeing samples The color value (p+1) gray fiber staining samples for Through repeated adjustments and optimizations of the dye bath formula and dyeing process, the measured color values ​​of 6×(p+1) colored fiber dyeing samples were improved. With the specified color value Consistent, ensuring that the measured color values ​​of (p+1) gray fiber dyed samples are consistent. With the specified color value Consistent. Therefore, the color values ​​of the 7×(p+1) primary color fibers can be obtained as follows:

[0059]

[0060] Of the 7×(p+1) primary color fiber samples obtained from dyeing, there are 6×(p+1) colored fiber primary color samples and (p+1) gray fiber primary color samples. By placing these 7×(p+1) primary color fiber samples into the HSL color model based on their color values, 7×(p+1) nodes can be obtained.

[0061] For colored fiber base color samples, set τ = 1, 2, ..., 5, 6; μ = 0, 1, corresponding to the sample hue value H. τ Correspondingly, its polar coordinates are taken as θ. τ =360×(τ-1) / 6, and the chroma value S of the sample μ ≈μ corresponds to its polar radius coordinates as r μ ≈μ, and the sample brightness value Correspondingly, its height coordinates are taken as Then each colored fiber base color sample 3D polar coordinates of the corresponding node This can be expressed as:

[0062]

[0063] For gray fiber base color samples, set τ = 1, 2, ..., 5, 6; μ = 0, corresponding to the sample hue value. 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 the gray fiber base color sample 3D polar coordinates of the corresponding node This can be expressed as:

[0064]

[0065] From equations (4), (5), and (6), it can be seen that based on the 7×(p+1) primary color fiber color values, the corresponding 7×(p+1) nodes in the HSL color model can be obtained. From these 7×(p+1) nodes, the following can be defined: Figure 2 The cylindrical solid shown is colored.

[0066] Step D. Select multi-element primary color fibers with equal height coordinate values ​​to form the isoluminance color matching surface of the cylindrical color model. Integrate the coordinate matrix, weight matrix, and color matrix of each node on the isoluminance color matching surface to obtain the color matching system of each isoluminance surface of the cylindrical color model. Select multi-element primary color fibers corresponding to nodes with equal polar angle coordinate values ​​to form the isohue color matching surface of the cylindrical color model. Integrate the coordinate matrix, weight matrix, and color matrix of each node on the isohue color matching surface to obtain the color matching system of each isohue surface of the cylindrical color model. Select multi-element primary color fibers with equal polar radius coordinate values ​​to form the isochroma color matching surface of the cylindrical color model. Integrate the coordinate matrix, weight matrix, and color matrix of each node on the isochroma color matching surface to obtain the coordinate matrix, weight matrix, and color matrix of each isochroma surface of the cylindrical color model to obtain the color matching system of each isochroma surface of the cylindrical color model. Thus, a cylindrical full-gamut color matching model constructed from multi-element primary color fibers is obtained.

[0067] In practical applications, step D above is based on the color fibers and hue values ​​H in the multi-color primary color fibers. τ Correspondingly, its polar coordinates are taken as θ. τ =360°×(τ-1) / 6, and chroma value S μ Correspondingly, its polar radius coordinate is taken as r. μ =μ, and brightness value Correspondingly, its height coordinates are taken as In addition, for gray fibers in multi-color primary color fibers, the polar coordinates corresponding to the hue value H0 are θ0 = 0°, the polar radius coordinates corresponding to the chroma value S0 are r0 = 0, and the lightness value... Correspondingly, its height coordinates are taken as A full-gamut color matching model is constructed, including the color matching system for each isoluminity surface of the cylindrical color matching model for the 7×(p+1) node positions corresponding to the multi-primary color fibers, as follows:

[0068] Based on brightness value gradient levels Three-dimensional polar coordinates of the nodal positions of each colored fiber corresponding to the multi-color primary color system on surfaces of equal brightness. Three-dimensional polar coordinates of the node positions of each gray fiber as follows:

[0069]

[0070] Expanding equation (7) yields:

[0071] Z1 height plane:

[0072] Z2 height plane:

[0073] ...

[0074] Height surface:

[0075] ...

[0076] Z p Height surface:

[0077] Z p+1 Height surface:

[0078] Based on (p+1) equal brightness surfaces, the three-dimensional polar coordinate values ​​of all node positions in the cylindrical color matching model corresponding to the multi-primary color fibers are integrated to construct the three-dimensional polar coordinate matrix [ψ] corresponding to the multi-primary color fibers. (p+1)×7 as follows:

[0079]

[0080] Further based on the brightness value gradient level Color values ​​at the node positions of each colored fiber corresponding to the multi-primary color system on surfaces of equal brightness. Color values ​​at the node positions of each gray fiber as follows:

[0081]

[0082] Expanding equation (9) yields:

[0083] L1 color scheme:

[0084] L2 color scheme:

[0085] ...

[0086] Color scheme:

[0087] ...

[0088] L p Color scheme:

[0089] L p+1 Color scheme:

[0090] Based on (p+1) equal brightness surfaces, the color values ​​at all node positions in the cylindrical color matching model corresponding to the multi-primary color fibers are integrated to construct the color matrix corresponding to the multi-primary color fibers. as follows:

[0091]

[0092] A full color gamut color matching model is constructed, including the color matching system for each isochromatic surface of the cylindrical color matching model corresponding to the multi-primary color fibers, with 7×(p+1) node positions as follows:

[0093] Based on the hue value gradient levels τ = 1, 2, 3, 4, 5, 6, the three-dimensional polar coordinates of the node positions of each colored fiber corresponding to the multi-element primary color system on each hue plane are given. Three-dimensional polar coordinates of the node positions of each gray fiber as follows:

[0094]

[0095] Expanding equation (11) yields:

[0096] θ1 polar angle surface:

[0097] θ2 polar angle surface:

[0098] θ3 polar angle surface:

[0099] θ4 polar angle surface:

[0100] θ5 polar plane:

[0101] θ6 polar angle surface:

[0102] Based on six isochromatic surfaces, the three-dimensional polar coordinate values ​​of all node positions in the cylindrical color matching model corresponding to the multi-color primary fibers are integrated to construct a three-dimensional polar coordinate matrix [ψ] corresponding to the multi-color primary fibers. (p+1)×7 as follows:

[0103]

[0104] Furthermore, based on the hue value gradient levels τ = 1, 2, 3, 4, 5, 6, the color values ​​at the node positions of each colored fiber corresponding to the multi-color primary color system on each hue plane are further determined. Color values ​​at the node positions of each gray fiber as follows:

[0105]

[0106] Expanding equation (13) yields:

[0107] H1 Hue plane:

[0108] H2 Hue Plane:

[0109] H3 Hue plane:

[0110] H4 Hue plane:

[0111] H5 Hue Surface:

[0112] H6 Hue plane:

[0113] Based on six isochromatic surfaces, the color values ​​at all node positions in the cylindrical color matching model corresponding to the multi-primary color fibers are integrated to construct a color matrix corresponding to the multi-primary color fibers. as follows:

[0114]

[0115] A full-gamut color matching model is constructed, including 7×(p+1) node positions in the cylindrical color matching model corresponding to the multi-primary color fibers. The color matching system on the isochroma surface and grayscale axis of the cylindrical color matching model is as follows:

[0116] Based on a chroma value level of μ=1, three-dimensional polar coordinates of the node positions of each colored fiber corresponding to the multi-color primary color system on the isochroma surface are constructed. The following is an example; and based on the chroma value level μ=0, the three-dimensional polar coordinates of the node positions of the gray fibers corresponding to the multi-element primary color system on the grayscale axis are constructed. as follows:

[0117]

[0118] Expanding equation (15) yields:

[0119] r1 radius surface:

[0120] r0 grayscale axis:

[0121] Further, based on the chroma value level μ=1, the color values ​​of the node positions of each colored fiber corresponding to the multi-color primary color system on the isochroma surface are as follows; and based on the chroma value level μ=0, the color values ​​of the node positions of the multi-color primary color system corresponding to the gray fiber on the gray axis are as follows;

[0122] Isochromatic surfaces:

[0123] Grayscale axis:

[0124] Based on isochroma surfaces and grayscale axes, the color values ​​of all node positions in the cylindrical color matching model corresponding to the multi-primary-color fibers are integrated to construct a color matrix corresponding to the multi-primary-color fibers. as follows:

[0125]

[0126] Step E. Based on the cylindrical full-gamut color matching model, the weight of the multi-primary color fibers is discretized using a preset gradient to obtain discrete weights expressed by their respective discrete variables. Using each isoluminance color matching surface as a reference, the discrete weights of two groups of colored fibers and one group of gray fibers with adjacent hues are selected sequentially on the isoluminance color matching surface for ternary nonlinear coupling-superposition color mixing. The two groups of colored fibers are coupled and mixed, and then nonlinearly superimposed and mixed with gray fibers. A ternary nonlinear coupling-superposition color mixing mode is constructed with discrete weight as the independent variable. Each set of mixed samples corresponds to a set of ternary discrete variables. Each set of ternary discrete variables corresponds to a grid point and is the coordinate value of that grid point. Each grid point corresponds to a ternary nonlinear coupling-superposition color mixing sample. By combining the ternary nonlinear coupling-superposition color mixing samples, a multi-primary color fiber gridded color mixing model is formed. With the grid point coordinates as the independent variable, the weight matrix, mixing ratio matrix, and color matrix of the ternary nonlinear coupling-superposition color mixing model are obtained respectively.

[0127] In practical operation, step E above is based on 6×(p+1) colored fibers and (p+1) gray fibers in the multi-color primary color fiber. The gray primary color fiber ο corresponding to the central axis on the cylindrical color matching model corresponding to the multi-color primary color fiber, and the colored primary color fibers α, β, γ, δ, ε, ο with a lightness value of 1, a chroma value of 1, and a hue value range of 0° to 360° on the corresponding cylindrical color matching model, are used to construct seven primary color fibers. This is based on the lightness value gradient levels in the preset primary color division method. The weights of each primary color fiber are as follows:

[0128]

[0129] Based on the discrete variables i' = 1, 2, ..., n, n+1 corresponding to the preset weight of the colored primary color fibers and the discrete variables j = 1, 2, ..., m, m+1 corresponding to the preset weight of the gray primary color fibers, the weight of the seven primary color fibers is determined. The discretization process is as follows:

[0130]

[0131] Furthermore, based on the preset discrete variables i1, i2 = 1, 2, ..., n, n+1, and according to the discrete weight of the primary color fibers, six sets of ternary nonlinear coupling groups are constructed using any combination of two colored primary color fibers and gray primary color fibers. That is, to construct 6 sets of ternary nonlinear couplings, each corresponding to a different color mixing sample weight. as follows;

[0132]

[0133] For six sets of ternary nonlinear coupling-superposition color mixing models, a ternary nonlinear coupling-superposition color mixing mode is constructed by first coupling and mixing two adjacent hue primary color fibers, and then nonlinearly superimposing and mixing them with gray primary color fibers. The discrete variables i1 = i2 are set to obtain the weights of the six sets of ternary nonlinear coupling-superposition color mixing samples. as follows:

[0134]

[0135] Next, the full-gamut mesh color mixing model constructed based on multi-primary color fiber mesh color mixing can be performed through the following steps:

[0136] (1) Constructing a primary color matching system for multi-primary color fibers: Based on big data thinking, with the goal of full color gamut color control, select several colored fibers and gray fibers with different brightness as multi-primary color fibers, and construct a primary color matching system based on the orderly combination of multi-primary color fibers;

[0137] (2) Construct a full-gamut grid color mixing model for multi-primary color fibers: Based on the ternary coupling-superposition color mixing of the discrete weights of multi-primary color fibers, exhaust all combinations of the discrete weights of multi-primary color fibers 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-gamut grid color mixing model.

[0138] (3) Constructing a full-gamut grid-based color mixing model: Based on the optimization of the primary color matching system and the full-gamut grid-based color mixing of multiple primary colors, the hue H of the primary color fiber mixture is adjusted to change within the range of 0-360°, the chroma S to change within the range of 0-1, and the lightness L to change within the range of 0-1 when the mixing ratio of multiple primary color fibers is changed by changing the grid point coordinates. The full-gamut grid-based color mixing model constructed in this way is called the full-gamut grid-based color mixing model.

[0139] (4) Construct the grid point matrix equation of the full color gamut gridded color mixing model: Corresponding to the grid point coordinates of the full color gamut gridded 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.

[0140] Proceed to step F according to the above design.

[0141] Step F. Based on each equal brightness color matching surface, integrate the grid point coordinates of each ternary nonlinear coupling-superposition color mixing model with the coordinates of each primary color node to obtain a full-gamut gridded color mixing model based on each equal brightness color matching surface for gridded color mixing. Further obtain the full-gamut gridded color mixing model based on the equal brightness color matching surface and its grid point weight matrix, grid point mixing ratio matrix, and grid point color matrix.

[0142] In practical applications, in step F above, the brightness value gradient level is based on the preset primary color division method. The weights of the six sets of ternary nonlinear coupled-superimposed color mixing samples under each lightness plane are as follows:

[0143]

[0144] Among them, discrete variables:

[0145] The weights of each primary color fiber in the nonlinear ternary coupling-superposition color mixing sample are defined as follows: And their color values ​​are respectively Based on the preset weight discretization value n of the mixed sample, and combined with the number 6 of the ternary nonlinear coupling-superposition color mixing mode, the discrete variables i = 1, 2, 3, ..., 6n-1, 6n are defined, and the sequence number of the nonlinear ternary coupling-superposition color mixing group is ξ (ξ = 1, 2, 3, 4, 5, 6).

[0146] When i = 1, 2, 3, ..., n-1, n, let

[0147] When i = n+1, n+2, n+3, ..., 2n-1, 2n; let

[0148] When i = 2n+1, 2n+2, 2n+3, ..., 3n-1, 3n; let

[0149] When i = 3n+1, 3n+2, 3n+3, ..., 4n-1, 4n; let

[0150] When i = 4n+1, 4n+2, 4n+3, ..., 5n-1, 5n; let

[0151] When i = 5n+1, 5n+2, 5n+3, ..., 6n-1, 6n; let

[0152] Then, according to the preset weight discretization value n, the weight discretization is performed on the 6 groups of ternary nonlinear coupling-superposition color mixing samples in the multi-primary color fiber gridded color mixing model. Each color mixing sample after discretization at each brightness value gradient level is used as a grid point in the full color gamut gridded color mixing model. The weight of the color mixing sample at each grid point and the primary color fiber mixing ratio in the color mixing sample at each grid point are obtained as follows:

[0153]

[0154]

[0155] The weights of the mixed color samples at each grid point relative to the primary color fiber mixing ratio are then obtained as follows:

[0156]

[0157] This constitutes a full-gamut gridded color mixing mode, in which, Numbering of the color sample for each grid point. The weight of the color sample at each grid point. This represents the mixing ratio of the primary color fibers in the color sample at each grid point.

[0158] Further based on the three-dimensional polar coordinates of each grid point in the full color gamut gridded color mixing mode as follows:

[0159]

[0160] Then you will get:

[0161] The resulting three-dimensional polar coordinate matrix of 6n×(m+1)×(p+1) grid points in the full-gamut meshed color mixing mode is as follows:

[0162]

[0163] This allows us to obtain the colors of all the mixed color samples at each grid point. The following constitutes a full-gamut meshed color mixing model;

[0164]

[0165] or:

[0166] In practical applications, full-gamut color mixing mesh models and full-gamut meshed color mixing models, such as Figure 3 As shown.

[0167] Based on brightness value gradient levels By integrating the coordinates of all grid points and node coordinates for the full-gamut meshed color mixing model, the grid point weight matrix of the full-gamut color mixing model can be obtained. as follows:

[0168]

[0169] Based on brightness value gradient levels By integrating the coordinates of all grid points and node coordinates for the full-gamut meshed color mixing model, the mixing ratio matrix of all grid points in the full-gamut color mixing model can be obtained. as follows:

[0170]

[0171] Based on brightness value gradient levels By integrating the coordinates of all grid points and node coordinates of the full-gamut meshed color mixing model, the color matrix of all grid points in the full-gamut color mixing model can be obtained. as follows:

[0172]

[0173] Based on equations (17), (22), and (24), it can be seen that when As a constant, when 1≤i≤n, the value can be adjusted by changing i. accomplish and The hue changes between the two; when (n+1)≤i≤2n, the hue can be adjusted by changing i. accomplish and The hue change between them; when (2n+1)≤i≤3n, it can be controlled by changing i. accomplish and The hue change between them; when (3n+1)≤i≤4n, it can be controlled by changing i. accomplish and The hue change between them; when (4n+1)≤i≤5n, it can be controlled by changing i. accomplish and The hue change between them; when (5n+1)≤i≤6n, it can be controlled by changing i. accomplish and The hue changes between them.

[0174] Based on equations (17)(22)(24), when When j is a constant, and 1≤j≤(m+1), it can be controlled by changing j. Implement separately The chroma variation between them.

[0175] Based on equations (17)(22)(24), when i and j are constants and 1≤ζ≤(p+1), the controllability can be achieved by changing ζ. Implement brightness variations between C(i,j,1), C(i,j,2), ..., C(i,j,p), and C(i,j,p+1).

[0176] As shown in the above analysis, the full-gamut meshed color mixing model constructed based on equations (22), (23), and (24) contains a total of 6n×(m+1)×(p+1) color samples. The color gamut space of this full-gamut meshed color mixing model is:

[0177]

[0178] Based on the above design, a color control method for shaped yarn is further designed and applied using a full-gamut color mixing model based on a cylindrical color model. The CNC three-channel rotor spinning system involved here is a spinning method that uses asynchronous drafting of multiple cotton slivers (multiple channels) as its essential feature, and can control the changes in the blending ratio, linear density and twist of the spun yarn online.

[0179] Figure 4The three-channel CNC rotor spinning system shown mainly consists of a spinning machinery system, a spinning control system, and a spinning servo system. The spinning machinery system is the most basic system of the rotor spinning machine; its carding mechanism, cohesion and twisting mechanism, and winding mechanism turn the cotton sliver into yarn. The spinning control system and spinning servo system use digital and information technology to control the spinning machinery system, making the yarn forming 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, etc. Figure 5 As shown, the three-channel CNC rotor spinning system includes a multi-channel drafting mechanism, a twisting mechanism, and a winding and forming mechanism. 1, 5, and 6 are drive gears; 2, 3, and 4 are feed rollers; 7, 8, and 9 are slivers; 10, 11, and 12 are yarn guide rollers; 13 is a yarn collector; 14 and 15 are middle rollers; 16 is a carding roller; 17 is the rotor; 18 is the yarn guide roller; 19 is the yarn guide roller; 20 is the winding roller; and 21 is the yarn tube.

[0180] Unlike single-channel rotor spinning, the CNC three-channel rotor spinning system features a sophisticated multi-degree-of-freedom parallel drafting mechanism. The multi-channel drafting mechanism includes a primary drafting mechanism and a secondary drafting mechanism. The primary drafting mechanism consists of three independently driven, coaxial gripping jaws and a middle roller, while the secondary drafting mechanism comprises the middle roller, combing roller, rotor, and guide roller. Three coaxial, nested rollers with the same outer diameter, driven independently by three servo motors, serve as feed rollers. These, along with three coaxial, same-outer-diameter leather rollers, form three coaxial gripping jaws. These independently driven jaws grip three slivers and feed them into the primary drafting zone at independently varying speeds. After primary drafting, the three slivers are fed into the secondary drafting zone by the middle roller. There, the combing rollers separate the fibers from the different slivers, both laterally mixing them and improving their straightness, parallelism, and separation, thus separating the three slivers into single-fiber streams. These fibers then enter the rotor via an airflow channel, where they are further separated and then condensed before being drawn out by the lead-in rollers, completing the secondary drafting process. Through asynchronous drafting, mixing, combing, and rotor condensation of the three slivers, the spinning process achieves the predetermined linear density and mixing ratio. The twisting process in three-channel rotor spinning is basically the same as that in single-channel rotor spinning. Twisting is achieved by the coordination of the rotor speed and the linear speed of the guide roller, so that the spun yarn reaches the predetermined twist. The winding process in three-channel rotor spinning is also basically the same as that in single-channel rotor spinning. Winding is achieved by the coordination of the bobbin winding speed and the guide roller traverse speed, so that the spun yarn reaches the predetermined package shape.

[0181] The drafting, twisting, and winding movements of the CNC three-channel ring spinning system are controlled by a PLC-controlled servo drives for the three feed rollers, middle roller, carding roller, rotor, yarn guide roller, winding, and traverse yarn guide. The operator sends commands to the PLC via a human-machine interface. The PLC converts these 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 feeds back the motor's operation status to the central processing unit, completing the nine-axis linkage three-channel rotor spinning cycle. Limit switches are designed as machine operation buttons to start and stop the spinning machine.

[0182] The control system of a CNC three-channel rotor spinning machine consists of control system hardware and control system software. The control system hardware consists of 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 or local industrial control computer, or a touch screen. The host computer mainly performs human-machine interaction functions, allowing users to input the initial parameters required to run the rotor spinning machine (initial parameters of the equipment, raw materials, and operation), yarn specifications (linear density, blending ratio, twist, and segment length), (three-channel draft ratio, forming twist, traverse stroke and lift), and equipment operating parameters (speed of the three feed rollers, speed of the middle roller, speed of the carding roller, rotor speed, yarn feeding speed, winding speed, traverse speed, airflow speed and pressure), etc., via keyboard or touch screen. The lower-level machine can be a programmable logic controller (PLC) or a microcontroller. It receives instructions from the upper-level machine, converts them into signals with corresponding timing sequences, and sends them to the appropriate drivers. The drivers then convert these signals into pulse voltage (or current) signals, thereby precisely controlling the three-channel CNC rotor spinning system. Communication between the upper and lower-level machines can be achieved as follows: if a touchscreen is used as the upper-level machine, RS232 serial communication or RS485 serial communication is used; if a microcomputer is used, traditional serial communication or PROFIBUS-DP two-wire communication is used, employing program development tools to implement communication between the PLC and the upper-level machine; if a remote computer or maintenance platform is used as the upper-level machine, an industrial 5G router is used, and the Modbus-RTU communication protocol is used for data transmission. The network adapter connects to the internal platform via a SIM card, and the intelligent cloud management platform connects to the internal platform via a virtual serial port using the TCP / IP communication protocol, enabling wireless, bidirectional, accurate, and secure data communication between the PLC and the network adapter, and between the network adapter and the intelligent cloud management platform. In the setup of the lower-level hardware, the PLC device controls the servo driver to control the speed of the roller. Through the SVDS module, the input port (CN6 / IN) and the output port (CN6 / OUT) are connected to each other for communication, thereby realizing the control of the roller speed.

[0183] 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.

[0184] Specifically, based on a CNC three-channel rotor spinning system, and according to a full-gamut gridded color mixing model, the color control of the formed yarn from the ternary nonlinear coupling-superposition color mixing sample is achieved by following steps i to ii.

[0185] Step i. Based on the structure of the CNC three-channel rotor spinning system, and the CNC rotor spinning forming process of ternary nonlinear coupling-superimposed color mixing sample, and the three-element coordinated control mechanism of yarn color-color mixing ratio-feed roller speed ratio, construct the spinning mechanism of full-color gamut colored yarn based on the CNC three-channel rotor spinning system.

[0186] In step i above, based on the structure of the CNC three-channel rotor spinning system, the linear densities of the three primary color cotton slivers fed into the three channels are defined as ρ. x ,ρ y ,ρ0, and ρ x =ρ y =ρ0=ρ, their color values ​​are C x (R x G x B x ),C y (R y G y B y ),C o (R o G o B o After being drawn by the middle roller, the linear densities are respectively After being drawn by the yarn drawing roller, the linear density becomes Combined into linear density Fine yarn, namely:

[0187]

[0188] definition Let V be the linear velocity of the three cotton rollers x, y, o. z ω1 is the linear speed of the middle roller, ω2 is the rotational speed of the combing roller, and V is the rotational speed of the rotor. s The linear speed of the yarn feed roller, The ratio of the three primary color fibers in the shaped yarn. To determine the color of the formed yarn, the CNC rotor spinning forming process for the ternary nonlinear coupling-superposition color mixing sample is constructed as follows;

[0189] (1) Draft ratios for each stage of rotor spinning:

[0190] set up Let the total draft ratio of the yarn drawing roller relative to each of the three cotton feeding rollers (o, x, y) be given. Let E2 be the primary draft ratio of the middle roller relative to the three feed rollers o, x, y, and let E2 be the secondary draft ratio of the drawing roller relative to the middle roller. Then the primary draft ratio of the middle roller relative to the three feed rollers x, y, o is... for:

[0191]

[0192] The second-order draft ratio E2 of the drawing roller relative to the middle roller is:

[0193] E2 = V s / V z (36)

[0194] Then the total draft ratio of the yarn drawing roller relative to each of the three feed rollers (x, y, o) is... for:

[0195]

[0196] (2) Yarn linear density:

[0197]

[0198] (3) Yarn blending ratio:

[0199]

[0200] (4) Yarn color:

[0201] Let C x (R x G x B x ),C y (R y G y B y ),C o (R o G o B o ( ) refers to the colors of the three cotton strips. The yarn blending ratio is formed after drafting, combing, and twisting by the rotor. For the color of the shaped yarn, and:

[0202]

[0203] (5) Yarn twist:

[0204] N w =ω2 / V s (41).

[0205] Further, the mechanism for the coordinated control of three key elements—yarn color, color mixing ratio, and feed roller speed—is constructed as follows;

[0206] (1) The mechanism of controlling the yarn blending ratio and color based on the speed of the cotton feeding roller;

[0207] According to formula (37), by adjusting the linear speed of the cotton feeding roller... The yarn blending can be adjusted as follows:

[0208]

[0209] According to formula (38), by adjusting the linear speed of the cotton feeding roller... The yarn color can be adjusted. as follows:

[0210]

[0211] (2) The mechanism of controlling yarn color and feed roller speed based on blending ratio;

[0212] According to formula (38), by adjusting the yarn blending ratio The yarn color can be adjusted. as follows:

[0213]

[0214] According to equation (44), by adjusting the yarn blending ratio λ s (j,δ)=[λ x (j,δ),λ y (j,δ),λ o The speed of the cotton roller can be adjusted using (j,δ)] as follows:

[0215]

[0216] (3) The mechanism of controlling the blending ratio and feeding roller speed based on yarn color;

[0217]

[0218] According to formula (45), the yarn color is adjusted. The yarn blending ratio can be adjusted. as follows:

[0219]

[0220] According to formula (45), by adjusting the yarn color The speed of the cotton feeding roller can be adjusted. This leads to the understanding of the synergistic control mechanism of the three key elements of a CNC three-channel rotor spinning system: yarn color, color mixing ratio, and feed roller speed. Figure 6 As shown.

[0221] Step ii. Obtain the color mixing ratio of each grid point color sample by using the color value of each grid point color sample in the full color gamut gridded color mixing model. Based on the spinning mechanism of full color gamut colored yarn based on the CNC three-channel rotor spinning system, construct the spinning process of the CNC three-channel rotor spinning system for color mixing yarn to realize the color control of the formed yarn.

[0222] In practical applications, step ii above is first performed as follows: by using the color values ​​of the color samples of each grid point in the full color gamut gridded color mixing model, the color mixing ratio of each grid point color sample is obtained.

[0223] The color matrix of all mesh color samples based on the full color gamut meshed color mixing model is as follows:

[0224]

[0225] The color values ​​of each mesh color sample in the full color gamut mesh color mixing model The blending ratio of base color fibers in the shaped yarn is Then, from equation (42), we obtain the result that is consistent with... The following are examples of the mixing of primary color fibers in the corresponding shaped yarns:

[0226]

[0227] Based on equation (29), the mixing ratio of all mesh color samples in the full-gamut meshed color mixing model is calculated. The mixing ratio matrix integrated into the full-gamut meshed color mixing model is as follows:

[0228]

[0229] Then, based on the spinning mechanism of full-gamut colored yarn based on the CNC three-channel rotor spinning system, the spinning process of mixed-color yarn in the CNC three-channel rotor spinning system is constructed as follows to realize the color control of the formed yarn;

[0230] Define the linear density of the color mixing yarn in each mesh of the full-gamut meshed color mixing model as follows: The speed of the yarn drawing roller is V s If the linear density of the sliver fed into the three channels is ρ, then by equation (37), the feeding speed of the three back rollers corresponding to the spinning blend ratio can be calculated. This parameter allows for the creation of a corresponding full-gamut meshed color mixing model with the desired color. The mixed-color yarns are as follows:

[0231]

[0232] definition This yields the velocity matrix of the three back rollers feeding for all the mixing yarns in the full-gamut meshed color mixing model:

[0233]

[0234] Color blending yarn linear density spun based on a full-gamut gridded color blending model The integrated line density matrix of the full color gamut color mixing model is as follows:

[0235]

[0236] The full-gamut meshed color mixing model contains 6n×(m+1)×(p+1) color mixing patterns. When i = 1, 2, 3, ..., 6n-1, 6n, the mixed-color yarn Hue complete The change in hue, i.e., the range of hue change, is 0° to 360°; when j = 1, 2, 3, ..., m, m+1, the mixed-color yarn... The color completion The change in chroma ranges from S. i =0~1; when At that time, the brightness of the mixed sample was completed. Changes, such as taking L1≈0, L p If ≈1, then the range of brightness variation is:

[0237] Analysis of equations (46)-(51) shows that 6n×(m+1)×(p+1) mixed-color yarn samples spun based on the full-gamut gridded color mixing model The color gamut range achieved by its hue (H), chroma (S), and lightness (L) is as follows:

[0238]

[0239] Applying the above design to a practical implementation, a full-gamut color matching system based on 5 lightness surfaces and a total of 35 primary colors is constructed. The first step is to obtain the color values ​​of the 35 primary color fibers. Based on the need for color control across the entire color gamut, isoluminance surfaces are used as color matching surfaces to control hue and chroma. Five gradient lightness values ​​are selected to design the isoluminance surfaces. Within the isoluminance surfaces, six gradient hue values ​​are selected for hue design, and high and low chroma values ​​are selected for chroma design. The resulting color values ​​of the 35 primary color fibers are shown in Table 1.

[0240] Table 1

[0241]

[0242]

[0243] Next is the construction of a full color gamut model with 35 primary colors, by using the seven primary colors of each of the five lightness planes: red (R) and red (R) fibers. i ), Yellow (Y) i ), Green (G) i ), Green (C) i ), Orchid (B) i ), magenta (M) i ), Yellow (Y) i ), gray (O) i Combining these elements and mixing them according to a ternary nonlinear coupling-superposition color mixing mode yields five lightness surfaces: low lightness surface, medium-low lightness surface, baseline lightness surface, medium-high lightness surface, and high lightness surface. These five lightness surfaces are then arranged in order of their lightness values ​​to form a pattern as shown below. Figure 7 The full-gamut meshed color mixing model shown is as follows: Figure 8a , Figure 8b , Figure 8c As shown, the process of obtaining the five lightness planes is as follows:

[0244] Low brightness surfaces: Select R respectively 1 -Y 1 -O 1 Y 1 -G 1 -O 1 G 1 -B 1 -O 1 B 1 -C 1 -O 1 C 1 -M 1 -O 1 M 1 -R 1 -O 1 Low-brightness surfaces are obtained by performing ternary coupling-superposition color mixing.

[0245] Medium and low brightness surfaces: Select R respectively 2 -Y 2 -O 2 Y 2 -G 2 -O 2 G 2 -B 2 -O 2 B 2 -C 2 -O 2 C 2 -M 2 -O 1 M 2 -R 2 -O 2 By performing ternary coupling-overlay color mixing, medium-to-low brightness surfaces can be obtained.

[0246] Reference lightness plane: Select R respectively 3 -Y 3 -O 3 Y 3 -G 3 -O 3 G 3 -B 3 -O 3 B 3 -C 3 -O 3 C 3 -M 3 -O 3 M 3 -R 3 -O 3 By performing ternary coupling-overlay color mixing, a reference lightness surface can be obtained.

[0247] Medium to high brightness surfaces: Select R respectively 4 -Y 4 -O 4 Y 4 -G 4 -O 4 G 4 -B 4 -O 4 B 4 -C 4 -O 4 C 4 -M 4 -O 4 M 4 -R 4 -O 3 By performing ternary coupling-overlay color mixing, medium to high brightness surfaces can be obtained.

[0248] High brightness surfaces: Select R respectively5 -Y 5 -O 5 Y 5 -G 5 -O 5 G 5 -B 5 -O 5 B 5 -C 5 -O 5 C 5 -M 5 -O 5 M 5 -R 5 -O 5 High-brightness surfaces can be obtained by performing ternary coupling-superposition color mixing.

[0249] Next, a three-variable coupled-overlay color mixing mode based on equal brightness is constructed. Specifically, based on a full-gamut color matching model with 35 primary colors, the three-variable coupled-overlay color mixing mode is constructed, with n=5, m=5, p=4, i=1,2,…,29,30, j=1,2,…,5,6. The three primary color fibers were meshed and mixed according to a three-variable coupling-superposition color mixing mode to obtain mesh points ψ(i,j,k), and the weight of the mixed sample corresponding to each mesh point was determined. It can be expressed as follows:

[0250]

[0251] The mixing ratio of primary color fibers in the mixed sample corresponding to the grid points It can be expressed as follows:

[0252]

[0253] Equation (49) yields the mixing ratio of the three primary color fibers relative to the variable. Changes, such as Figure 9a , 9b As shown in 9c.

[0254] The color value of the mixed sample corresponding to the grid point It can be expressed as follows:

[0255]

[0256] By using the seven primary color fibers (R) on each of the five lightness surfaces i ), Yellow (Y) i ), Green (G) i ), Green (C) i ), Orchid (B) i ), magenta (M) i ), Yellow (Y)i ), gray (O) i Combining these elements and mixing them according to a ternary nonlinear coupling-superposition color mixing mode yields five lightness surfaces: low lightness surface, medium-low lightness surface, baseline lightness surface, medium-high lightness surface, and high lightness surface. These five lightness surfaces are then arranged in order of their lightness values ​​to form a pattern as shown below. Figure 10 The full-gamut color mixing model is shown. Further, as... Figure 11 As shown, the process of obtaining the five lightness planes is as follows:

[0257] Low brightness surfaces: Select R respectively 1 -Y 1 -O 1 Y 1 -G 1 -O 1 G 1 -B 1 -O 1 B 1 -C 1 -O 1 C 1 -M 1 -O 1 M 1 -R 1 -O 1 Low-brightness surfaces are obtained by performing ternary coupling-superposition color mixing.

[0258] Medium and low brightness surfaces: Select R respectively 2 -Y 2 -O 2 Y 2 -G 2 -O 2 G 2 -B 2 -O 2 B 2 -C 2 -O 2 C 2 -M 2 -O 1 M 2 -R 2 -O 2 By performing ternary coupling-overlay color mixing, medium-to-low brightness surfaces can be obtained.

[0259] Reference lightness plane: Select R respectively 3 -Y 3 -O 3 Y 3 -G 3 -O 3 G 3 -B 3 -O 3 B3 -C 3 -O 3 C 3 -M 3 -O 3 M 3 -R 3 -O 3 By performing ternary coupling-overlay color mixing, a reference lightness surface can be obtained.

[0260] Medium to high brightness surfaces: Select R respectively 4 -Y 4 -O 4 Y 4 -G 4 -O 4 G 4 -B 4 -O 4 B 4 -C 4 -O 4 C 4 -M 4 -O 4 M 4 -R 4 -O 3 By performing ternary coupling-overlay color mixing, medium to high brightness surfaces can be obtained.

[0261] High brightness surfaces: Select R respectively 5 -Y 5 -O 5 Y 5 -G 5 -O 5 G 5 -B 5 -O 5 B 5 -C 5 -O 5 C 5 -M 5 -O 5 M 5 -R 5 -O 5 High-brightness surfaces can be obtained by performing ternary coupling-superposition color mixing.

[0262] Regarding the color values ​​and mixing ratios of grid points in the full-gamut color mixing model, the full-gamut color mixing model constructed based on the coupled and superimposed color mixing of thirty-five primary color fibers can be used to obtain the color values ​​and mixing ratios of all grid points within the full-gamut color mixing model from the colors of the thirty-five primary color fibers. Assume the mixing ratio of each grid point in the full-gamut color mixing model is... The mixing ratio matrix is ​​composed of the mixing ratios of all grid points within the full color gamut mixing model. As shown in equation (58), the specific grid point mixing ratio is shown in Table 2.

[0263]

[0264] Table 2

[0265]

[0266]

[0267] In Table 2, ζ = 1, 2, 3, 4, 5, representing five lightness planes. Among the lightness planes, when i = 1 to 5, the primary color fiber used for color mixing is RYO; when i = 6 to 10, the primary color fiber used for color mixing is YGO; when i = 11 to 15, the primary color fiber used for color mixing is GCO; when i = 16 to 20, the primary color fiber used for color mixing is CBO; when i = 21 to 25, the primary color fiber used for color mixing is BMO; and when i = 26 to 30, the primary color fiber used for color mixing is MGO.

[0268] Assuming the color value of each grid point in the full color gamut color mixing model is The color value matrix formed by the color values ​​of all grid points within the full color gamut color mixing model As shown in equation (59), the specific grid point color values ​​are shown in Tables 3 to 7.

[0269]

[0270] Table 3 represents the color values ​​of the grid points in the full-gamut gridded color mixing model; Table 4 represents the color values ​​of the grid points in the full-gamut gridded color mixing model; Table 5 represents the color values ​​of the grid points in the full-gamut gridded color mixing model; Table 6 represents the color values ​​of the grid points in the full-gamut gridded color mixing model; and Table 7 represents the color values ​​of the grid points in the full-gamut gridded color mixing model.

[0271] Table 3

[0272]

[0273]

[0274] Table 4

[0275]

[0276]

[0277]

[0278] Table 5

[0279]

[0280]

[0281] Table 6

[0282]

[0283]

[0284] Table 7

[0285]

[0286]

[0287]

[0288] The spinning process design for full-gamut control of the color of the formed yarn is based on the three-element synergistic control mechanism of the full-gamut color mixing model and the CNC rotor spinning machine. The yarn mixing ratio is calculated from the color of the formed yarn by formula (60), and the three roller feeding speed of the yarn is calculated from the mixing ratio of the formed yarn by formula (61), thereby determining the spinning process of the yarn.

[0289]

[0290]

[0291] Assuming the three-channel feed rate of the full-gamut mixing yarn is The mixing ratio matrix is ​​obtained from the full color gamut mixing model using formula (60). The obtained three-channel feeding speed matrix of the full-gamut mixed yarn is shown in Equation (61). The specific values ​​are shown in Table 8, which is the three-roller feeding speed parameter table of the full-gamut rotor mixed yarn. In the table, ζ = 1, 2, 3, 4, 5, which represent 5 lightness planes respectively. In the lightness plane, when i = 1 to 5, the fed three primary color fibers are RYO; when i = 6 to 10, the fed three primary color fibers are YGO; when i = 11 to 15, the fed three primary color fibers are GCO; when i = 16 to 20, the fed three primary color fibers are CBO; when i = 21 to 25, the fed three primary color fibers are BMO; when i = 26 to 30, the fed three primary color fibers are MGO.

[0292] Table 8

[0293]

[0294]

[0295] During the calculation process, the yarn specifications were designed as follows: 32Tex, 800T / m, S-twist rotor yarn; the basic process parameters of the three-channel CNC rotor spinning machine are: rotor speed 18000rpm, combing roller speed 6000rpm, and yarn guide roller speed 18m / min.

[0296] 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 based on a cylindrical color model, characterized by: First, using the nodes formed by the intersection of the gradient equal brightness surface, gradient equal chroma surface, and gradient equal hue surface of the cylindrical color model as a reference, the polar coordinate values ​​and color values ​​of the nodes are obtained. Then, based on the color values ​​of each node, the multi-color primary fiber corresponding to each node is obtained by dyeing, and a cylindrical full-gamut color matching model constructed from multi-color primary fiber is obtained, as well as its equal brightness color matching surface, equal hue color matching surface, and equal chroma color matching surface. Then, the weight of the multi-color fiber is discretized with a preset gradient. On the same brightness surface, two adjacent colored and gray fibers are selected in sequence and mixed with discrete weights to construct a ternary nonlinear coupling-superposition color mixing model, namely the multi-color fiber mesh color mixing model. Finally, the node coordinates of the primary color fibers on each equal brightness surface are integrated with the grid point coordinates of each group of ternary nonlinear coupling-superposition color mixing models to obtain the full color gamut gridded color mixing model and its equal brightness, equal hue, and equal chroma color mixing color spectrum. The construction of the full color gamut mixing model includes the following steps A to F; Step A. Based on the color gamut of the cylindrical color model constructed using the HSL standard, divide it into several equal-lightness surfaces according to the corresponding preset gradient based on its 0-1 lightness value range. The hue value range is divided into 6 equal hue surfaces based on the corresponding preset gradient, and the chroma value range of 0-1 is divided into several equal chroma surfaces based on the corresponding preset gradient. Step B. Using the intersection points formed by the above equal value plane, equal hue plane, and equal chroma plane as nodes representing the cylindrical color model, give the polar coordinate values ​​and theoretical color values ​​of each node in the cylindrical color model; Step C. Based on the theoretical color values ​​of each node in the cylindrical color model, dye the multi-color fibers corresponding to each node, weigh each multi-color fiber in equal amounts as the fiber weight of each node, and obtain the color value of each multi-color fiber as the fiber color value of each node. Step D. Select multi-color fibers with equal height coordinate values ​​to form the equal brightness color matching surface of the cylindrical color model. Integrate the coordinate matrix, weight matrix and color matrix of each node on the equal brightness color matching surface to obtain the color matching system of each equal brightness surface of the cylindrical color model. Select the multi-color primary color fibers corresponding to nodes with equal polar angle coordinates to form the isohue color matching surface of the cylindrical color model. Integrate the coordinate matrix, weight matrix and color matrix of each node on the isohue color matching surface to obtain the color matching system of each isohue surface of the cylindrical color model. Multi-color primary color fibers with equal polar radius coordinates are selected to form the isochromatic color matching surface of the cylindrical color model. The coordinate matrix, weight matrix and color matrix of each node on the isochromatic color matching surface are given, and the color matching system of each isochromatic surface of the cylindrical color model is obtained. This results in a cylindrical full-gamut color matching model constructed from multi-primary color fibers; Step E. Based on the cylindrical full-gamut color matching model, the weight of the multi-primary color fibers is discretized with a preset gradient to obtain the discrete weight expressed by each discrete variable. Based on each equal brightness color matching surface, the discrete weights of two groups of colored fibers and one group of gray fibers with adjacent hues are selected sequentially on the equal brightness color matching surface for ternary nonlinear coupling-superposition color mixing. The two groups of colored fibers are coupled and mixed, and then nonlinearly superimposed and mixed with gray fibers. The ternary nonlinear coupling-superposition color mixing mode is constructed with the discrete weight as the independent variable. Each set of mixed samples corresponds to a set of ternary discrete variables. Each set of ternary discrete variables corresponds to a grid point and is the coordinate value of the grid point. Each grid point corresponds to a ternary nonlinear coupling-superposition color mixing sample. The ternary nonlinear coupling-superposition color mixing samples are combined to form a multi-primary color fiber gridded color mixing model. The weight matrix, mixing ratio matrix, and color matrix of the ternary nonlinear coupling-superposition color mixing model are obtained with the grid point coordinates as the independent variables. Step F. Based on each equal brightness color surface, integrate the grid point coordinates of each ternary nonlinear coupling-overlay color mixing model with the coordinates of each primary color node to obtain a full-gamut gridded color mixing model based on each equal brightness color surface for gridded color mixing. Further obtain the full-gamut gridded color mixing model based on the equal brightness color surface and its grid point weight matrix, grid point mixing ratio matrix, and grid point color matrix.

2. The construction of the full-gamut color mixing model based on the cylindrical color model according to claim 1, characterized in that: In step A, the brightness value gradient levels are based on the preset primary color division method. Hue value gradient levels Chroma value level According to chroma value level A series of hue value gradient levels and lightness value gradient levels are constructed to create corresponding... Individual colored fibers; and grades based on chroma values. Hue value gradient levels A series of brightness value gradient levels are constructed to create corresponding... Each gray fiber, and then composed of each colored fiber and each gray fiber together. The primary color fibers constitute a multi-color fiber color matching system.

3. The construction of the full-gamut color mixing model based on the cylindrical color model according to claim 2, characterized in that: In step D, based on the color fibers and hue values ​​in the multi-color primary color fibers... Correspondingly, its polar coordinates are... and chroma value Correspondingly, its polar radius coordinates are taken as and brightness value Correspondingly, its height coordinates are taken as And the gray fibers and hue values ​​in multi-color fibers. Correspondingly, its polar coordinates are... and chroma value Correspondingly, its polar radius coordinates are taken as and brightness value Correspondingly, its height coordinates are taken as Construct a full color gamut color matching model, including the cylindrical color matching model corresponding to multi-primary color fibers. For each node location, the color scheme system for each surface of equal brightness in the cylindrical color model is constructed as follows: Based on brightness value gradient levels The three-dimensional polar coordinates of the nodal positions of each colored fiber corresponding to the multi-primary color system on surfaces of equal brightness. 3D polar coordinates of the node positions of each gray fiber as follows: ； ； And based on For each isoluminance surface, the three-dimensional polar coordinate values ​​of all node positions in the cylindrical color matching model corresponding to the multi-primary color fibers are integrated to construct the three-dimensional polar coordinate matrix corresponding to the multi-primary color fibers. as follows: ； Further based on the brightness value gradient level The color values ​​of the node positions of each colored fiber corresponding to the multi-primary color system on surfaces of equal brightness. Color values ​​at the node positions of each gray fiber as follows: ； ； And based on For each isoluminance surface, the color values ​​at all node positions in the cylindrical color matching model corresponding to the multi-primary color fibers are integrated to construct a color matrix corresponding to the multi-primary color fibers. as follows: ； Construct a full color gamut color matching model, including the cylindrical color matching model corresponding to multi-primary color fibers. For each node position, the color scheme system for each hue plane of the cylindrical color model is constructed as follows: Based on hue value gradient levels The three-dimensional polar coordinates of the node positions of each colored fiber corresponding to the multi-color primary color system on each hue plane. 3D polar coordinates of the node positions of each gray fiber as follows: ， ； Based on six isochromatic surfaces, the three-dimensional polar coordinate values ​​of all node positions in the cylindrical color matching model corresponding to the multi-color primary color fibers are integrated to construct a three-dimensional polar coordinate matrix corresponding to the multi-color primary color fibers. as follows: ； Further based on hue value gradient levels The color values ​​of the node positions of each colored fiber corresponding to the multi-primary color system on each hue surface. Color values ​​at the node positions of each gray fiber as follows: ， ； Based on six isochromatic surfaces, the color values ​​at all node positions in the cylindrical color matching model corresponding to the multi-primary color fibers are integrated to construct a color matrix corresponding to the multi-primary color fibers. as follows: ； Construct a full color gamut color matching model, including the cylindrical color matching model corresponding to multi-primary color fibers. For each node location, the color scheme system on the isochromatic surface and grayscale axis of the cylindrical color model is constructed as follows: Based on chroma value level Construct three-dimensional polar coordinates of the node positions of each colored fiber corresponding to the multi-color primary color system on the isochromatic surface. and based on chroma value levels Construct the three-dimensional polar coordinates of the node positions of gray fibers corresponding to the multi-primary color system on the grayscale axis. as follows: ， ， ； Expanding the above equation, we get: Radius surface: ; Grayscale axis: ; Further based on chroma value levels The color values ​​at the node positions of each colored fiber corresponding to the multi-color primary color system on the isochromatic surface, and the color values ​​based on the chromaticity level. The color values ​​of the node positions of the gray fibers corresponding to the multi-primary color system on the grayscale axis are as follows; Isochromatic surfaces: ; Grayscale axis: ; Based on isochroma surfaces and grayscale axes, the color values ​​of all node positions in the cylindrical color matching model corresponding to the multi-primary-color fibers are integrated to construct a color matrix corresponding to the multi-primary-color fibers. as follows: 。 4. The construction of the full-gamut color mixing model based on the cylindrical color model according to claim 3, characterized in that: In step E, based on the multi-color fibers Colored fibers and Each gray fiber, with the gray primary color fiber corresponding to the central axis on the cylindrical color matching model corresponding to the multi-primary color fiber. And the corresponding cylindrical color scheme model with a brightness value of 1 and a chroma value of 1. The hue value range is related to the color primary color fibers at each position defined by the preset primary color division method. These fibers constitute seven primary colors, based on a gradient of lightness values ​​in a preset primary color division method. The weights of each primary color fiber are as follows: (17)； Based on the discrete variables of the preset weight corresponding to the colored primary color fibers Discrete variables representing the preset weights of the gray base color fibers. The weight of the seven primary color fibers The discretization process is as follows: (18)； Further based on the preset discrete variables , Based on the discrete weight of the primary color fibers, six sets of ternary nonlinear coupling groups are constructed using any combination of two colored primary color fibers and gray primary color fibers. , , , , , That is, to construct 6 sets of ternary nonlinear couplings, each corresponding to a different weight of the mixed color sample. , , , , , as follows; (19)； For six sets of ternary nonlinear coupling-superposition, a ternary nonlinear coupling-superposition color mixing mode is constructed by first coupling and mixing two adjacent hue primary color fibers, and then nonlinearly superimposing and mixing them with gray primary color fibers. The discrete variables are then set... The weights of the six sets of ternary nonlinear coupled-superimposed color mixing samples were obtained as follows: , , , , , as follows: (20)。 5. The construction of the full-gamut color mixing model based on the cylindrical color model according to claim 4, characterized in that: In step F, the brightness value gradient level is based on the preset primary color division method. The weights of the six sets of ternary nonlinear coupled-superimposed color mixing samples under each lightness plane are as follows: (21)； Among them, discrete variables: , ; The weights of each primary color fiber in the nonlinear ternary coupling-superposition color mixing sample are defined as follows: And their color values ​​are respectively , , and the discretized value based on the preset mixed sample weight Based on the number 6 of the ternary nonlinear coupling-superposition color mixing modes, discrete variables are defined. The sequence number of the nonlinear ternary coupling-superposition color mixing group is , ; when season ; ; when make ; ; when make ; ; when make ; ; when make ; ; when make ; ; Then, the weight of the mixed sample is discretized according to the preset value. Weight discretization was performed on six sets of ternary nonlinear coupled-superimposed color mixing samples in the multi-primary color fiber gridded color mixing model. Each color mixing sample after discretization at each brightness value gradient level was used as a grid point in the full color gamut gridded color mixing model. The weight of the color mixing sample at each grid point and the primary color fiber mixing ratio in each grid point color mixing sample are obtained as follows: (22)； (23)； The weights of the mixed color samples at each grid point relative to the primary color fiber mixing ratio are then obtained as follows: (24)； This constitutes a full-gamut gridded color mixing mode, in which, Numbering of the color sample for each grid point. The weight of the color sample at each grid point. The mixing ratio of primary color fibers in the color sample at each grid point; Further based on the three-dimensional polar coordinates of each grid point in the full color gamut gridded color mixing mode as follows: ， ； ， (25)； Then you will get: (26); That is, to obtain the full color gamut mesh mixing mode The three-dimensional polar coordinate matrix of each grid point is as follows: ， （27）； This allows us to obtain the colors of all the mixed color samples at each grid point. The following constitutes a full-gamut meshed color mixing model; (28)； or: (29); Based on brightness value gradient levels By integrating the coordinates of all grid points and node coordinates for the full-gamut meshed color mixing model, the grid point weight matrix of the full-gamut color mixing model can be obtained. as follows: (30)； Based on brightness value gradient levels By integrating the coordinates of all grid points and node coordinates for the full-gamut meshed color mixing model, the mixing ratio matrix of all grid points in the full-gamut color mixing model can be obtained. as follows: (31)； Based on brightness value gradient levels By integrating the coordinates of all grid points and nodes in the full-gamut meshed color mixing model, the color matrix of all grid points in the full-gamut color mixing model can be obtained. as follows: (32)。 6. The method for color control of formed yarn constructed using the full-gamut color mixing model based on the cylindrical color model as described in claim 5, characterized in that: Based on a CNC three-channel rotor spinning system, and according to a full-gamut gridded color mixing model, the following steps are followed. To the steps To achieve color control of formed yarns by ternary nonlinear coupling-superposition color mixing; step Based on the structure of the CNC three-channel rotor spinning system, and the CNC rotor spinning forming process of ternary nonlinear coupling-superimposed color mixing sample, as well as the synergistic control mechanism of the three elements of yarn color, color mixing ratio and feed roller speed ratio, the spinning mechanism of full-color gamut colored yarn based on the CNC three-channel rotor spinning system is constructed. step By obtaining the color values ​​of the mixed color samples at each grid point in the full-gamut gridded color mixing model, the color mixing ratio of each grid point is obtained. Based on the spinning mechanism of full-gamut colored yarn based on the CNC three-channel rotor spinning system, the spinning process of the CNC three-channel rotor spinning system for mixed yarn is constructed to achieve color control of the formed yarn.

7. The method for color control of formed yarn based on a full-gamut color mixing model constructed according to claim 6, characterized in that: The steps In this paper, based on the structure of a CNC three-channel rotor spinning system, the linear densities of the three primary color cotton slivers fed into the three channels are defined as follows: ,and Their color values ​​are respectively , , The linear densities after drawing by the middle roller are respectively , , After being drawn by the yarn drawing roller, the linear density becomes , , Combined into a linear density of Fine yarn, namely: (34)； definition For three cotton rollers linear velocity, The linear velocity of the middle roller. The rotational speed of the combing rollers, The rotation speed of the rotor, The linear speed of the yarn feed roller, The ratio of the three primary color fibers in the shaped yarn. To determine the color of the formed yarn, the CNC rotor spinning forming process for the ternary nonlinear coupling-superposition color mixing sample is constructed as follows; (1) Draft ratios for each stage of rotor spinning: set up For the yarn feeding roller, there are three cotton feeding rollers. The total draw ratio of each channel is set as follows: For the middle roller, three cotton rollers are given to each other. The first-order draw ratio, let For the secondary draft ratio of the drawing roller relative to the middle roller, then the middle roller relative to the three cotton feeding rollers... First-order draw ratio for: (35)； The second-stage draft ratio of the drawing roller relative to the middle roller. for: (36)； Then the yarn feeding roller is relative to the three cotton feeding rollers. Total draw ratio of each channel for: (37)； (2) Yarn linear density: (38)； (3) Yarn blending ratio: (39)； (4) Yarn color: set up The colors of the three cotton strips, The yarn blending ratio is formed after drafting, combing, and twisting by the rotor. For the color of the shaped yarn, and: (40)； (5) Yarn twist: (41)。 8. The method for color control of formed yarn based on a full-gamut color mixing model constructed according to claim 7, characterized in that: The steps In this paper, based on the structure of the CNC three-channel rotor spinning system, the three-element coordinated control mechanism of yarn color, color mixing ratio and feed roller speed is constructed as follows; (1) The mechanism of controlling the yarn blending ratio and color based on the speed of the cotton feeding roller; According to formula (37), by adjusting the linear speed of the cotton feeding roller... The yarn blending can be adjusted as follows: (42)； According to formula (38), by adjusting the linear speed of the cotton feeding roller... The yarn color can be adjusted. as follows: (43)； (2) The mechanism of controlling yarn color and feed roller speed based on blending ratio; According to formula (38), by adjusting the yarn blending ratio The yarn color can be adjusted. as follows: (44)； According to formula (44), by adjusting the yarn blending ratio The speed of the cotton feeding roller can be adjusted. as follows: (45)； (3) The mechanism of controlling the blending ratio and feeding roller speed based on yarn color; According to formula (45), the yarn color is adjusted... The yarn blending ratio can be adjusted. as follows: (46)； According to formula (45), by adjusting the yarn color The speed of the cotton feeding roller can be adjusted. , (47)； This reveals the synergistic control mechanism of the three elements of yarn color, color mixing ratio, and feed roller speed in a CNC three-channel rotor spinning system.

9. The method for color control of formed yarn based on a full-gamut color mixing model constructed according to claim 8, characterized in that: The steps First, as follows, the mixing ratio of each grid point's color sample is obtained by using the color value of the color sample at each grid point in the full color gamut gridded color mixing model; The color matrix of all mesh color samples based on the full color gamut meshed color mixing model is as follows: ， ； The color values ​​of each mesh color sample in the full color gamut mesh color mixing model The blending ratio of the base color fiber in the shaped yarn is Then, from equation (42), we obtain the result that is consistent with... The following are examples of the mixing of primary color fibers in the corresponding shaped yarns: ； Based on equation (29), the mixing ratio of all mesh color samples in the full-gamut meshed color mixing model is calculated. The mixing ratio matrix integrated into the full-gamut meshed color mixing model is as follows: ； Then, based on the spinning mechanism of full-gamut colored yarn based on the CNC three-channel rotor spinning system, the spinning process of mixed-color yarn in the CNC three-channel rotor spinning system is constructed as follows to realize the color control of the formed yarn; Define the linear density of the color mixing yarn in each mesh of the full-gamut meshed color mixing model as follows: The speed of the yarn drawing roller is The linear density of the processed cotton sliver fed into the three channels is Then, using equation (37), the feeding speed of the three back rollers corresponding to the spinning blend ratio can be calculated. , , By feeding speed , , The colors corresponding to the full-gamut meshed color mixing model of spinning are Mixed yarn; feeding speed , , The calculation is as follows: , ； ； ； definition Then, the velocity matrix of the three back rollers feeding corresponding to all the mixing yarns in the full-gamut meshed color mixing model is obtained: ； Color blending yarn linear density spun based on a full-gamut gridded color blending model The integrated full-gamut color mixing model line density matrix is ​​as follows: ， 。

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