Full-color-gamut color mixing model construction based on cylindrical color model, and color regulation and control method for formed yarn using same

Abstract

The present invention relates to full-color-gamut color mixing model construction based on a cylindrical color model, and a color regulation and control method for a formed yarn using same. Firstly, on the basis of multivariate primary color fibers obtained by means of a cylindrical color model, a cylindrical full-color-gamut color matching model corresponding to the multivariate primary color fibers is constructed; then, a multivariate primary color fiber grid color mixing model is obtained by constructing a ternary nonlinear coupling-superposition color mixing model; next, a full-color-gamut grid color mixing model is obtained by means of the integration of node coordinates and grid point coordinates; and finally, on the basis of the structure of a three-channel numerical control rotor spinning system, a numerical control rotor spinning formation process related to ternary nonlinear coupling-superposition color mixing samples and a three-element coordinated regulation and control mechanism for a formed yarn color, a color mixing ratio and a cotton feeding roller speed ratio are constructed, and according to the full-color-gamut grid color mixing model, a spinning process of the three-channel numerical control rotor spinning system with respect to a melange yarn is constructed, such that the color regulation and control of a formed yarn can be efficiently implemented, thereby improving the actual efficiency of color regulation and control.

Description

Construction of full color gamut color mixing model based on cylindrical color model and its forming yarn color control method Technical Field

[0001] The invention relates to the construction of a full-color-gamut color mixing model based on a cylindrical color model and a method for controlling the color of a formed yarn, and belongs to the technical field of color control in the textile industry. Background Art

[0002] In the existing spinning process, fibers of different colors are selected from dyed fibers, solution-dyed fibers or natural colored fibers as base color fibers, and colored yarns are spun through manual blending, patchwork blending, cotton bale blending, drawing blending, coarse yarn blending, fine yarn blending and other means.

[0003] During the color-spun yarn production process, it is necessary to grasp popular trends and innovate yarn color designs based on market demand. To launch a series of yarn colors, it is necessary to build a color model for color-spun yarn and a full-color gamut control system for color. The corresponding relationship between the finished yarn color and the base fiber color and their mixing ratio must be clarified. Color matching schemes must be quickly designed based on the color of the incoming sample, and proofing and color reproduction must be done quickly and accurately. Therefore, how to mix and innovate colors is one of the key technologies for color-spun yarn and colored yarn.

[0004] At present, the color spinning industry has not yet established the concept of full-color gamut color matching. The commonly used color matching methods are the adjacent color matching method, or the three-primary color pagoda color matching method based on the three-primary color matching theory; the color matching mode is mainly point-to-point sample matching, and there are few working modes that launch serial color matching schemes based on systematic color innovation.

[0005] The color matching problem of color spinning is actually how to obtain all visible colors by mixing the basic colors of several fibers. How to apply Newton's three primary colors principle or the four primary colors (seed colors) principle in the printing field to the field of color spinning still has a huge obstacle to be solved. At the same time, traditional spinning theory has not provided a spinning process method for how to control the hue, chroma, brightness and color of the formed yarn, nor has it provided a process method for spinning full-color mixed yarn to achieve color spinning. There are currently four bottleneck problems that need to be solved:

[0006] 1. How to select and optimize multi-primary color (seed color) fibers to construct a full-spectrum color matching model based on the characteristics of the color spinning field. By making different combinations of the above-mentioned multi-primary color (seed color) fibers and regulating the mixing ratio of the multi-primary color (seed color) fibers, the hue of the mixed fiber aggregate can be changed in the range of 0 to 360°, the brightness can be changed in the range of 0 to 1, and the chroma can be changed in the range of 0 to 1. This is the key to constructing a full-color gamut gridded color matching model.

[0007] 2. How to construct a full-color gamut grid color mixing model based on the full-color gamut color matching model through grid mixing of multi-primary color (seed color) fibers. It is necessary to build a grid color mixing algorithm to implement an algorithm that obtains the spatial coordinate value, color value, and multi-primary color (seed color) fiber mixing ratio corresponding to the grid point based on the grid point sequence number, and construct a matrix equation for grid points with equal brightness, equal chroma, and equal hue. This is the key to constructing a full-color gamut grid color mixing model.

[0008] 3. How to establish a coordinated control mechanism for the three elements of multi-channel feed ratio, base color (seed color) fiber mixing ratio, and finished yarn color through a multi-channel CNC spinning system and its CNC algorithm? This is a key technology for achieving full-color range control of the hue, chroma, and lightness of the finished yarn.

[0009] 4. How to combine the three-element coordinated control mechanism of the three-channel rotor spinning machine with the full-color gamut grid color matching model, obtain the base color (seed color) fiber mixing ratio of the corresponding full-color gamut color yarn based on the color value of the full-color gamut color yarn provided by the full-color gamut grid model, and then obtain the rotor spinning process of the full-color gamut color yarn from the base color (seed color) fiber mixing ratio of the full-color gamut color yarn. This is the key to realizing full-color gamut color spinning, and also the key to controlling the hue, brightness and chroma of the formed yarn within the full color gamut range.

[0010] Summary of the Invention

[0011] 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 is based on multi-primary colors and is gridded to efficiently obtain a full-color gamut spectrum under a color mixing mode.

[0012] In order to solve the above 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, the polar coordinate values ​​and color values ​​of the nodes are obtained based on the intersection of the gradient isoluminance surface, gradient isochroma surface, and gradient isohue surface of the cylindrical color model. Then, the multi-primary color fiber corresponding to each node is dyed based on the color value of each node, and a cylindrical full-color gamut color matching model constructed by the multi-primary color fiber is obtained, as well as its isoluminance color matching surface, isohue color matching surface, and isochroma color matching surface.

[0013] Then, the weight of the multi-primary color fibers is discretized with a preset gradient, and two color fibers with adjacent hues are sequentially selected on the equal-lightness surface and mixed with gray fibers with discrete weights to construct a ternary nonlinear coupling-superposition color mixing model, namely the multi-primary color fiber gridding color mixing model.

[0014] Finally, the node coordinates of the primary color fibers on each isoluminance 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 isoluminance, isohue, and isochroma color mixing spectrum.

[0015] Corresponding to the above, the technical problem that the present invention also needs to solve is to provide a method for controlling the color of a formed yarn by using a full-color gamut color mixing model based on a cylindrical color model. Based on a CNC three-channel rotor spinning system, a full-color gamut gridded color mixing model is applied to efficiently realize the control of yarn color.

[0016] To solve the above 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 and according to the full-color gamut gridded color mixing model, the color control of the formed yarn is achieved by ternary nonlinear coupling-superposition color mixing samples according to the following steps i to ii;

[0017] Step i. Based on the structure of a CNC three-channel rotor spinning system, the CNC rotor spinning forming process regarding ternary nonlinear coupling-superimposed mixed color patterns, and the coordinated control mechanism of the three elements of yarn color, mixed color ratio, and feed roller speed ratio, a spinning mechanism for full-color gamut colored yarn based on a CNC three-channel rotor spinning system is constructed;

[0018] Step ii. Obtain the color ratio of each grid point mixed color sample through the color value of each grid point mixed color sample in the full color gamut gridded color mixing model, and construct the spinning process of the mixed color yarn of the CNC three-channel rotor spinning system according to the spinning mechanism of the full color gamut colored yarn based on the CNC three-channel rotor spinning system to realize the color control of the formed yarn.

[0019] The full color gamut color mixing model construction based on the cylindrical color model and the formed yarn color control method thereof according to the present invention have the following technical effects compared with the prior art:

[0020] (1) 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 a formed yarn. First, based on the multi-color primary color fiber obtained from the cylindrical color model, a cylindrical full-color gamut color matching model corresponding to the multi-color primary color fiber is constructed; then, by constructing a ternary nonlinear coupling-superposition color mixing model, a multi-color primary color fiber grid color mixing model is obtained; then, by integrating the node coordinates with the grid point coordinates, a full-color gamut grid color mixing model is obtained; finally, based on the structure of a CNC three-channel rotor spinning system, a CNC rotor spinning forming process for a ternary nonlinear coupling-superposition color mixing sample and a coordinated control mechanism of the three elements of yarn color, color mixing ratio and cotton feed roller speed ratio are constructed; and according to the full-color gamut grid color mixing model, a CNC three-channel rotor spinning system for a spinning process for mixed color yarn is constructed, thereby enabling efficient color control of the formed yarn and improving the efficiency of actual color control. BRIEF DESCRIPTION OF THE DRAWINGS

[0021] FIG1 is a flow chart of a method for constructing a full-color gamut color mixing model based on a cylindrical color model and controlling the color of a formed yarn thereof;

[0022] FIG2 is a schematic diagram of the HSL color model and the corresponding cylindrical color stereogram in the design of the present invention;

[0023] FIG3 is a schematic diagram of a grid model for full-color gamut color mixing and a full-color gamut gridded color mixing model in the design of the present invention;

[0024] FIG4 is a schematic diagram of the architecture of a CNC three-channel rotor spinning system designed in the present invention;

[0025] FIG5 is a schematic structural diagram of a CNC three-channel rotor spinning system designed in the present invention;

[0026] FIG6 is a diagram showing the three-element control mechanism of the three-channel CNC rotor spinning in the design of the present invention;

[0027] FIG7 is a schematic diagram of a full-color gamut gridded color mixing model in an embodiment of the design and application of the present invention;

[0028] FIG8a is a schematic diagram of a medium-brightness surface base color fiber color matching system of a full-color gamut gridded color mixing model according to an embodiment of the design and application of the present invention;

[0029] FIG8 b is a schematic diagram of a medium hue surface primary color fiber color matching system in a full color gamut gridded color mixing model according to an embodiment of the design and application of the present invention;

[0030] FIG8c is a schematic diagram of a medium hue surface primary color fiber color matching system in a full color gamut gridded color mixing model according to an embodiment of the design and application of the present invention;

[0031] FIG9a is a gray fiber in an embodiment of the design and application of the present invention. Schematic diagram of the blending ratio change curve;

[0032] FIG9b is a diagram of a colored fiber in an embodiment of the design and application of the present invention. Schematic diagram of the blending ratio change curve;

[0033] FIG9c is a diagram of a colored fiber in an embodiment of the design and application of the present invention. Schematic diagram of the blending ratio change curve;

[0034] FIG10 is a schematic diagram of a full-color gamut color mixing model in an embodiment of the design and application of the present invention;

[0035] FIG11 is a schematic diagram showing the expansion of the full color gamut color mixing model according to the equal brightness surface in the design and application embodiment of the present invention. DETAILED DESCRIPTION

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

[0037] Newton discovered that sunlight, when split by a prism, forms a spectrum consisting of six colors: red, yellow, green, cyan, blue, and magenta. Research based on physical optics has shown that visible light is electromagnetic waves with wavelengths between 380 and 780 nanometers, and that 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, resulting in a color spectrum of light.

[0038] The color of light corresponding to its wavelength, obtained based on the theory of physical optics, is called the theoretical color or physical color of visible light. To clarify the presentation mechanism of physical color, based on the research methods of physical optics, the reflectivity of the measured object to visible light ranging from 380nm to 780nm under a standard light source is obtained and expressed as the tristimulus color values ​​of the measured object, and the color of the measured object is labeled using the tristimulus color values. On this basis, by clarifying the correspondence between wavelength, reflectivity, tristimulus color values, and color, a color model based on tristimulus color values ​​is constructed to express the color distribution law. For example, the RGB color model and the CMY color model. Therefore, the color model is a digital model constructed based on the physical properties of light and its tristimulus color values.

[0039] Based on physiological and anatomical research on the visual nervous system, it has been discovered that the human eye's rods and cones transmit sensed visible light signals to the brain, where biological computations transform the perceived visible light into a color with the three primary colors superimposed and a light-and-dark effect, resulting in human visual color. The human eye perceives color in terms of hue, chroma, and lightness, and the visual color of an object is typically characterized by hue, chroma, and lightness. The color of an opaque object depends on the wavelength of reflected light, the color of a transparent object depends on the wavelength of incident light, and the color of a translucent object is related to both the wavelength of reflected and incident light. Typically, the reflectance of the object under test for visible light with a wavelength of 380nm to 780nm is measured under a standard light source and expressed as tristimulus color values. These tristimulus color values ​​are then converted into visual color values ​​expressed in terms of color visual characteristics such as hue, chroma, and lightness. Based on this, by clarifying the correspondence between wavelength, reflectance, tristimulus color values, visual color values, and color, a color solid model based on visual color values ​​was constructed to express color distribution patterns. For example, HSI model, HSV model, Lab model, etc. Therefore, the color stereo model is a digital model constructed based on the visual characteristics of light and its visual color values.

[0040] Applying Newton's principle of the three primary colors of light and based on the anatomical structure theory of the rod cells and three cone cells of the human optic nerve, four primary color fibers such as magenta-cyan-yellow-gray or seven primary color fibers such as red-yellow-green-cyan-blue-magenta-gray are used as the color matching system. The grid mixing space of multiple primary color fibers is obtained by grid mixing of the gradient discretized weights of the seven primary color fibers. By changing the coordinates of the grid points, the mixing ratio of the multiple primary color fibers is changed in the range of 0-100%, and the hue H of the primary color fiber mixture is adjusted to change in the range of 0-360°, the chroma S to change in the range of 0-1, and the lightness L to change in the range of 0-1. The grid color mixing model constructed in this way is called a full color gamut grid color mixing model.

[0041] Within the gridded mixing space, the corresponding primary color fiber combination and mixing ratio can be obtained from the coordinates of each grid point. Mixed samples corresponding to each grid point are prepared based on the primary color fiber mixing ratio. Based on these mixed samples, the theoretical and measured color values ​​corresponding to each grid point can be obtained. Furthermore, by clarifying the correspondence between the grid point coordinates, primary color fiber mixing ratio, and theoretical color value of each mixed sub-sample in the gridded mixing model, a multi-primary color mixing model was constructed to express the color distribution patterns of the multi-primary color fiber mixing system. Therefore, the multi-primary color mixing model is a digital model constructed based on the mixing characteristics of the primary color fibers and their visual color values.

[0042] The full-color gamut color mixing model designed by the present invention is constructed based on the cylindrical color model. First, the nodes formed by the intersection of the gradient equal-lightness surface, gradient equal-color surface, and gradient equal-hue surface of the cylindrical color model are used as a reference to obtain the polar coordinate values ​​and color values ​​of the nodes, and then the multi-primary color fibers corresponding to each node are obtained by dyeing based on the color value of each node, and a cylindrical full-color gamut color matching model constructed by the multi-primary color fibers, as well as its equal-lightness color matching surface, equal-hue color matching surface, and equal-chroma color matching surface are obtained.

[0043] Then, the weight of the multi-primary color fibers is discretized with a preset gradient, and two color fibers of adjacent hues and gray fibers are selected in turn on the equal brightness surface to mix with discrete weights to construct a ternary nonlinear coupling-superposition color mixing model, that is, a multi-primary color fiber grid color mixing model.

[0044] Finally, the node coordinates of the primary color fibers on each isoluminance 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 isoluminance, isohue, and isochroma color mixing spectrum.

[0045] Regarding the above design, in actual application, this patent specifically designs the execution of the following steps A to F.

[0046] Step A. Based on the color gamut range of the cylindrical color model constructed using the HSL format, a number of equal-lightness surfaces are divided according to a corresponding preset gradient based on the lightness value range of 0-1, six equal-hue surfaces are divided according to a corresponding preset gradient based on the hue value range of 0° to 360°, and a number of equal-color surfaces are divided according to a corresponding preset gradient based on the chroma value range of 0-1.

[0047] Specific implementation, based on the brightness value gradient level in the preset base color division method The hue value gradient levels τ = 1, 2, 3, 4, 5, 6, the chroma value levels μ = 0, 1, with the chroma value level μ = 1, the hue value gradient levels and the lightness value gradient levels are serialized to construct the corresponding 6×(p+1) color fibers; and the chroma value level μ = 0, the hue value gradient level τ = 0, the lightness value gradient levels are serialized to construct the corresponding (p+1) gray fibers, and then the color fibers and the gray fibers totaling 7×(p+1) primary color fibers constitute a multi-primary color fiber color matching system.

[0048] Step B: using the intersection points formed by the intersection of the above-mentioned isoluminance surface, isohue surface, and isochroma surface as nodes representing the cylindrical color model, and giving the polar coordinate values ​​and theoretical color values ​​of each node in the cylindrical color model.

[0049] Step C. Based on the theoretical color value of each node in the cylindrical color model, dyeing is performed to obtain the multi-color fibers corresponding to each node, and the weight of each multi-color fiber is weighed equally as the fiber weight of each node, and the color value of each multi-color fiber is obtained as the fiber color value of each node.

[0050] In practical applications, based on the full color gamut color matching requirements, the above steps A to C are divided into (p+1) lightness values ​​by dividing the lightness with a gradient of 1 / p in the HSL color model, 6 hue values ​​by dividing the hue with a gradient of 60°, and two chroma values ​​by dividing the chroma with a gradient of 1. Gridding the HSL color model from these three dimensions yields (p+1) equal lightness surfaces, 6 hue values, 1 maximum chroma surface, and 1 grayscale axis. A total of 7×(p+1) nodes can be obtained, and 7 nodes of equal lightness are obtained on each lightness surface, 2×(p+1) nodes of equal hue are obtained on each equal hue surface, 6×(p+1) nodes with a chroma value of 1 are obtained on the maximum chroma surface, and (p+1) nodes with a chroma of 0 are obtained on the grayscale axis. Taking the color values ​​of the 7×(p+1) nodes in the HSL color model as a reference, 7×(p+1) dyeing samples with different hues, lightnesses, and chromas are obtained through dyeing. The color values ​​of the 7×(p+1) dyeing samples are obtained by using a colorimeter. The measured color values ​​are then used as the color values ​​of the multivariate primary 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 are used as the polar coordinate values ​​of the nodes corresponding to the 7×(p+1) multivariate primary color fibers.

[0051] set up In the lightness range of 0 to 1, from low lightness value L1 to high lightness value L p+1 Take the brightness gradient difference as Δ and 0<Δ≤1 / (p+1), then we can get the gradient brightness value as follows:

[0052] Assume τ = 1, 2, 3, 4, 5, 6, and obtain the gradient hue value H uniformly within the hue range of 0° to 360° τ And make:

[0053] Assume μ = 0,1, and take the low chroma value S0 of gray fiber ≈ 0 in the chroma range of 0 to 1, and take the high chroma value S2 of color fiber ≈ 1, then the gradient chroma value S μ As follows: μ ≈μ(μ=0,1) (3)

[0054] set up τ=1,2,...,5,6;μ=1,with serialized hue value Hτ , serialized lightness value Serialized chroma value S μ Prepare colored fibers as a benchmark, and obtain 6×(p+1) colored fiber base color samples set up τ=0;μ=0,with hue value H o =0, serialized brightness value Chroma value S o =0 is used as the benchmark to prepare gray fiber, and (p+1) gray fiber base color samples can be obtained. A total of (6+1)×(p+1) base color fiber samples can be obtained.

[0055] The 7×(p+1) primary color fiber samples obtained above can be used to form (p+1) isoluminance surfaces, one isochroma surface, one grayscale axis, and six isohue surfaces. Based on the color values ​​of the primary color fiber samples designed above, the dye solution formula and optimized dyeing process were continuously adjusted. The target fibers were dyed multiple times, and the color values ​​of each sample were measured using a Datacolor 800 desktop precision colorimeter.

[0056] Assume there are 6×(p+1) colored fiber dyeing samples The color value of (p+1) gray fiber dyeing samples for Repeatedly debug and optimize the dye solution formula and dyeing process to make the measured color values ​​of 6×(p+1) color fiber dyeing samples With the specified color value Consistent, so that the measured color values ​​of (p+1) gray fiber dyeing samples With the specified color value The color values ​​of 7×(p+1) primary color fibers are as follows:

[0057] The 7×(p+1) base color fiber samples obtained by dyeing include 6×(p+1) colored fiber base color samples and (p+1) gray fiber base color samples. By placing these 7×(p+1) base color fiber samples into the HSL color model based on their color values, 7×(p+1) nodes are obtained.

[0058] For the color fiber base color sample, set τ=1,2,...,5,6;μ=0,1,with the sample hue value H τ The corresponding polar coordinate is θ τ =360×(τ-1) / 6, and the sample chroma value S μ ≈μ corresponds to the polar radius coordinate r μ ≈μ, and the sample brightness value The corresponding height coordinate is Then the base color samples of each colored fiber The three-dimensional polar coordinate value of the corresponding node It can be expressed as:

[0059] For the gray fiber base color sample, set τ=1,2,...,5,6;μ=0,with sample hue value The corresponding polar angle coordinate is θ0=0, and the corresponding polar radius coordinate is r0≈0, which is the same as the sample brightness value. The corresponding height coordinate is Gray fiber base color sample The three-dimensional polar coordinate value of the corresponding node It can be expressed as:

[0060] It can be seen from equations (4), (5), and (6) 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, and the cylindrical color solid shown in Figure 2 can be defined by the above 7×(p+1) nodes.

[0061] Step D. Select multi-primary color fibers with equal height coordinate values ​​to form an isoluminance color matching surface of a cylindrical color model, integrate each node on the isoluminance color matching surface to give the coordinate matrix, weight matrix, and color matrix of each isoluminance fiber, and obtain the color matching system of each isoluminance surface of the cylindrical color model; select multi-primary color fibers corresponding to nodes with equal polar angle coordinate values ​​to form an isochromatic color matching surface of a cylindrical color model, integrate each node on the isochromatic color matching surface to give the coordinate matrix, weight matrix, and color matrix of its isochromatic fibers, and obtain the color matching system of each isochromatic surface of the cylindrical color model; select multi-primary color fibers with equal polar radius coordinate values ​​to form an isochromatic color matching surface of a cylindrical color model, integrate each node on the isochromatic color matching surface to give the coordinate matrix, weight matrix, and color matrix of its isochromatic fibers, and obtain the color matching system of each isochromatic surface of the cylindrical color model; thereby, a cylindrical full-color gamut color matching model constructed by multi-primary color fibers is obtained.

[0062] In specific practical applications, the above step D is based on the color fiber and hue value H in the multi-color primary fiber. τ The corresponding polar coordinate is θ τ =360°×(τ-1) / 6, and saturation value S μ The corresponding polar radius coordinate is r μ =μ, and lightness value The corresponding height coordinate is The gray fiber in the multi-color primary color fiber corresponds to the hue value H0 and takes its polar angle coordinate as θ0=0°, and takes its polar radius coordinate as r0=0 corresponding to the chroma value S0, and takes its polar radius coordinate as r0=0 corresponding to the lightness value The corresponding height coordinate is A full-color gamut color matching model is constructed, including the 7×(p+1) node positions in the cylindrical color matching model corresponding to the multi-primary color fibers, and the color matching system on each equal brightness surface of the cylindrical color matching model is constructed as follows:

[0063] Based on the lightness value gradient level The three-dimensional polar coordinates of the node positions of each color fiber corresponding to the multi-color primary color system on each equal brightness surface The three-dimensional polar coordinates of the node positions of each gray fiber as follows:

[0064] Expanding formula (7) yields:

[0065] Z1 height surface:

[0066] Z2 height surface:

[0067] …

[0068] Height surface:

[0069] …

[0070] Z p Height surface:

[0071] Z p+1 Height surface:

[0072] 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:

[0073] Further based on the brightness gradient level Color values ​​of the node positions of each color fiber corresponding to the multi-color primary color system on each equal brightness surface The color value of each gray fiber node position as follows:

[0074] Expanding formula (9) yields:

[0075] L1 color matching surface:

[0076] L2 color matching surface:

[0077] …

[0078] Color matching surface:

[0079] …

[0080] L p Color matching surface:

[0081] L p+1 Color matching surface:

[0082] Based on (p+1) equal brightness surfaces, the color values ​​of 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:

[0083] A full-color gamut color matching model is constructed, including the 7×(p+1) node positions in the cylindrical color matching model corresponding to the multi-color primary color fibers, and the color matching system on each hue surface of the cylindrical color matching model is constructed as follows:

[0084] Based on the hue value gradient level τ=1,2,3,4,5,6, the three-dimensional polar coordinate values ​​of the node positions of each color fiber corresponding to the multi-color system on each hue surface The three-dimensional polar coordinates of the node positions of each gray fiber as follows:

[0085] Expanding formula (11) yields:

[0086] θ1 polar angle surface:

[0087] θ2 polar angle surface:

[0088] θ3 polar angle surface:

[0089] θ4 polar angle surface:

[0090] θ5 polar angle surface:

[0091] θ6 polar angle surface:

[0092] Based on the six isochromatic 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:

[0093] Further based on the hue value gradient level τ=1,2,3,4,5,6, the color value of the node position of each color fiber corresponding to the multi-color system on each hue surface is The color value of each gray fiber node position as follows:

[0094] Expanding formula (13) yields:

[0095] H1 Hue Face:

[0096] H2 hue surface:

[0097] H3 hue surface:

[0098] H4 Hue plane:

[0099] H5 hue surface:

[0100] H6 hue surface:

[0101] Based on the six isochromatic surfaces, the color values ​​of 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:

[0102] A full-color gamut color matching model is constructed, including the 7×(p+1) node positions in the cylindrical color matching model corresponding to the multi-primary color fibers, and the color matching system on the chromaticity surface and grayscale axis of the cylindrical color matching model is constructed as follows:

[0103] Based on the chroma value level μ = 1, the three-dimensional polar coordinate values ​​of the node positions of each color fiber corresponding to the multi-color primary color system on the equal chroma surface are constructed As follows; and based on the chroma value level μ = 0, construct the three-dimensional polar coordinate value of the node position of the gray fiber corresponding to the multi-primary color system on the gray axis as follows:

[0104] Expanding formula (15) yields:

[0105] R1 radius surface:

[0106] r0 grayscale axis:

[0107] Furthermore, based on the chroma value level μ=1, the color values ​​of the node positions of the multi-primary color system corresponding to each color fiber on the isochroma plane are as follows; and based on the chroma value level μ=0, the color values ​​of the node positions of the multi-primary color system corresponding to the gray fiber on the gray axis are as follows:

[0108] Isochromatic surface:

[0109] Grayscale axis:

[0110] Based on the isochromaticity surface and grayscale axis, the color values ​​of 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:

[0111] Step E. Based on the cylindrical full-color gamut color matching model, the weight of the multivariate primary color fibers is discretized with a preset gradient to obtain discrete weights expressed by respective discrete variables. Based on each equal-lightness color matching surface, the discrete weights of two groups of color fibers with adjacent hues and one group of gray fibers are sequentially selected on the equal-lightness color matching surface for ternary nonlinear coupling-superposition color mixing, wherein the two groups of color fibers are coupled and mixed, and then nonlinear superposition color mixing is performed with the gray fibers. A ternary nonlinear coupling-superposition color mixing model is constructed with the discrete weight as the independent variable. Each group of mixed samples corresponds to a group of three-dimensional discrete variables, each group of three-dimensional discrete variables corresponds to a grid point and is the coordinate value of the grid point, and each grid point corresponds to a three-dimensional nonlinear coupling-superposition color mixing sample. The groups of three-dimensional nonlinear coupling-superposition color mixing samples are collected to form a multivariate 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.

[0112] In a specific practical operation, the above step E is based on 6×(p+1) colored fibers and (p+1) gray fibers in the multi-primary color fibers, and the gray primary color fiber ο corresponding to the central axis on the cylindrical color matching model corresponding to the multi-primary color fibers, and the color primary color fibers α, β, γ, δ, ε, ο at each position divided by the preset primary color division method on the corresponding cylindrical color matching model with a lightness value of 1, a chroma value of 1, and a hue value range of 0° to 360°, constitute seven primary color fibers, based on the lightness value gradient level in the preset primary color division method. The weights of the fibers of each base color were obtained as follows:

[0113] According to the discrete variables i'=1,2,…,n,n+1 of the preset weights corresponding to the colored primary color fibers and j=1,2,…,m,m+1 of the preset weights corresponding to the gray primary color fibers, the weights of the seven primary color fibers are calculated. The discretization process is as follows:

[0114] Further, according to the preset discrete variables i1, i2 = 1, 2, ..., n, n + 1, and the discrete weight of the primary color fibers, 6 groups of ternary nonlinear coupling groups are constructed by combining any two colored primary color fibers with the gray primary color fibers. That is to construct 6 groups of three-element nonlinear couplings corresponding to the mixed color weight as follows;

[0115] For the six groups of ternary nonlinear coupling-superposition, the two primary color fibers with adjacent hues are first coupled and mixed, and then nonlinear superposition and mixing are performed with the gray primary color fiber to construct a ternary nonlinear coupling-superposition color mixing pattern. The discrete variable i1=i2 is set, and the weights of the six groups of ternary nonlinear coupling-superposition color mixing samples are obtained. as follows:

[0116] Next, a full-color gamut gridded color mixing model based on multi-primary color fiber gridded color mixing can be constructed by the following steps:

[0117] (1) Constructing a primary color matching system for multi-primary color fibers: Based on big data thinking and with full color gamut color control as the goal, several colored fibers and gray fibers with different brightness are selected as multi-primary color fibers, and a primary color matching system is constructed based on the orderly combination of multi-primary color fibers;

[0118] (2) Constructing 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 the multi-primary color fibers, all combinations of the discrete weights of the multi-primary color fibers are exhausted to obtain all grid points in the color mixing space, clarify the color gamut range of the hue, lightness, and chroma of all grid points, and construct a full-gamut grid color mixing model;

[0119] (3) Constructing a full-gamut grid color mixing model: Based on the optimization of the primary color matching system and the full-gamut grid color mixing of multiple primary colors, by changing the grid point coordinates to change the multiple primary color fiber mixing ratio within the range of 0-100%, the hue H of the primary color fiber mixture is adjusted to change within the range of 0-360°, the chroma S changes within the range of 0-1, and the lightness L changes within the range of 0-1. The full-gamut grid color mixing model thus constructed is called a full-gamut grid color mixing model.

[0120] (4) Constructing the grid point matrix equation of the full color gamut grid color mixing model: corresponding to the grid point coordinates of the full color gamut grid color mixing model, construct the grid point color mixing fiber weight matrix, grid point mixing ratio matrix, grid point color spectrum matrix, equal lightness color spectrum matrix, equal chroma color spectrum matrix and equal hue color spectrum matrix.

[0121] Continue to step F according to the above design.

[0122] Step F. Based on each equal-lightness color matching surface, the grid point coordinates of each ternary nonlinear coupling-superposition color mixing model are integrated with the coordinates of each base color node to obtain a full-color gamut gridded color mixing model based on each equal-lightness color matching surface for gridded color mixing, and further obtain the full-color gamut gridded color mixing model based on the equal-lightness color matching surface and its grid point weight matrix, grid point mixing ratio matrix, and grid point color matrix.

[0123] In actual application, in the above step F, based on the brightness value gradient level in the preset base color division method The weights of the six groups of ternary nonlinear coupling-superposition mixed color samples under each equal brightness surface are as follows:

[0124] Among them, the discrete variables are:

[0125] The weights of the primary color fibers in the nonlinear ternary coupling-superposition color mixing sample are defined as And their color values ​​are And according to the preset discretization value n of the mixed sample weight and the number 6 of the ternary nonlinear coupling-superposition color mixing modes, the discrete variable i=1,2,3,…,6n-1,6n is defined, and the serial number of the nonlinear ternary coupling-superposition color mixing group is ξ(ξ=1,2,3,4,5,6).

[0126] When i=1,2,3,…,n-1,n, let

[0127] When i=n+1,n+2,n+3,…,2n-1,2n; let

[0128] When i=2n+1,2n+2,2n+3,…,3n-1,3n; let

[0129] When i=3n+1,3n+2,3n+3,…,4n-1,4n; let

[0130] When i=4n+1,4n+2,4n+3,…,5n-1,5n; let

[0131] When i=5n+1,5n+2,5n+3,…,6n-1,6n; let

[0132] Then, according to the preset mixed sample weight discretization value n, the weight discretization is performed on the six groups of ternary nonlinear coupling-superposition mixed color samples in the multivariate primary color fiber grid color mixing model. All the mixed color samples after discretization at each brightness value gradient level are used as each grid point in the full color range grid color mixing model. The weight of the mixed color sample at each grid point and the primary color fiber mixing ratio in the mixed color sample at each grid point are obtained as follows:

[0133] Then, the weight of each grid point mixed color sample with respect to the base color fiber mixing ratio is obtained as follows:

[0134] Constitute a full-color gamut gridded color mixing mode, where is the number of the mixed color sample at each grid point, is the weight of the mixed color sample at each grid point, It is the mixing ratio of base color fibers in the mixed color sample at each grid point.

[0135] Further based on the three-dimensional polar coordinates of each grid point in the full color gamut grid mixing mode as follows:

[0136] Then we get:

[0137] That is, the three-dimensional polar coordinate matrix of 6n×(m+1)×(p+1) grid points in the full color gamut grid color mixing mode is obtained as follows:

[0138] Then get the color of all the mixed color samples of each grid point As follows, a full-gamut gridded color mixing model is constructed;

[0139] or:

[0140] FIG3 shows a grid model of full-gamut color mixing and a full-gamut gridded color mixing model in actual application.

[0141] Based on the lightness value gradient level For the full color gamut grid color mixing model, the grid point weight matrix of the full color gamut color mixing model can be obtained by integrating all grid point coordinates with node coordinates. as follows:

[0142] Based on the lightness value gradient level For the full color gamut grid color mixing model, all grid point coordinates and node coordinates are integrated to obtain the mixing ratio matrix of all grid points in the full color gamut color mixing model. as follows:

[0143] Based on the lightness value gradient level For the full color gamut grid color mixing model, all grid point coordinates are integrated with the node coordinates to obtain the color matrix of all grid points in the full color gamut color mixing model. as follows:

[0144] Based on formulas (17)(22)(24), we can see that when is a constant, 1≤i≤n, and can be controlled by changing i accomplish and When (n+1)≤i≤2n, the hue can be adjusted by changing i. accomplish and The hue changes between them; when (2n+1)≤i≤3n, the hue can be adjusted by changing i accomplish and When (3n+1)≤i≤4n, the hue can be adjusted by changing i. accomplish and When (4n+1)≤i≤5n, the hue can be adjusted by changing i. accomplish and When (5n+1)≤i≤6n, the hue can be adjusted by changing i. accomplish and The hue changes between.

[0145] Based on formula (17)(22)(24), when is a constant, 1≤j≤(m+1), and can be controlled by changing j Implement separately The color changes between.

[0146] Based on equations (17)(22)(24), when i, j are constants and 1≤ζ≤(p+1), the change of ζ can be controlled Realize the brightness change between C(i,j,1), C(i,j,2),…, C(i,j,p), C(i,j,p+1).

[0147] From the above analysis, we can see that the full-color gamut gridded color mixing model constructed based on equations (22)(23)(24) contains a total of 6n×(m+1)×(p+1) mixed color samples. The color gamut space of the full-color gamut gridded color mixing model is:

[0148] Based on the above design, a color control method for formed yarns constructed by a full-color gamut color mixing model based on a cylindrical color model is further designed and applied. The CNC three-channel rotor spinning system involved here is a spinning method with the essential feature of asynchronous drafting of multiple cotton strips (multiple channels), which can perform online control of the blending ratio, linear density and twist changes of the spun yarn.

[0149] The three-channel CNC rotor spinning system shown in Figure 4 primarily consists of a spinning mechanism, a spinning control system, and a spinning servo system. The spinning mechanism is the most fundamental system of a rotor spinning machine; its carding mechanism, condensing and twisting mechanism, and winding mechanism transform sliver into yarn. The spinning control system and spinning servo system utilize digital and information-based technologies to control the spinning mechanism, making the yarn-forming process simpler, more precise, and more intelligent. They primarily consist of a touch screen, PLC, servo drive, inverter, encoder, variable frequency motor, and servo motor. As shown in Figure 5, the three-channel CNC rotor spinning system includes a multi-channel drafting mechanism, a twisting mechanism, and a winding mechanism. Among them, 1, 5, and 6 are transmission gears, 2, 3, and 4 are cotton feeding rollers, 7, 8, and 9 are cotton slivers, 10, 11, and 12 are leather rollers, 13 is a cotton collector, 14 and 15 are middle rollers, 16 is a combing roller, 17 is a rotor, 18 is a yarn delivery roller, 19 is a yarn delivery roller, 20 is a winding roller, and 21 is a bobbin.

[0150] 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 consists of a primary drafting mechanism and a secondary drafting mechanism. The primary drafting mechanism consists of three independently driven co-linear gripping jaws and a center roller, while the secondary drafting mechanism consists of a center roller, opening roller, rotor, and delivery rollers. Three coaxial nested rollers with the same outer diameter, driven independently by three servo motors, serve as the feed rollers. Together with three coaxial, coaxial top rollers, they form three colinear gripping jaws. These independently driven jaws grip three slivers and feed them into the primary drafting zone at independently variable speeds. The three slivers, having undergone primary drafting, are then fed into the secondary drafting zone by the middle rollers. Combing and separation by the opening rollers, not only horizontally blend the fibers from the different slivers, but also separate the three fed slivers into single fiber streams while improving their straightness, parallelism, and separation. These fibers enter the rotor through the airflow channel, where they are separated and then coalesced. The yarn is then drawn out by the delivery rollers for secondary drafting. Through asynchronous drafting, mixed combing, and rotor coalescence of the three slivers, the spinning process achieves the desired linear density and mixing ratio. The twisting process of three-channel rotor spinning is basically the same as that of single-channel rotor spinning. The rotor speed and the yarn delivery roller line speed cooperate to complete the twisting, so that the spinning formation reaches the predetermined twist. The winding forming process of three-channel rotor spinning is basically the same as that of single-channel rotor spinning. The bobbin winding speed and the yarn guide traverse speed cooperate to complete the winding forming, so that the spinning formation reaches the predetermined package form.

[0151] The drafting, twisting, and winding movements of the CNC three-channel ring spinning system are achieved by the upper computer PLC controlling the servo drives of the three feed rollers, center rollers, carding rollers, rotor, take-off rollers, and winding and traverse guide devices. The operator sends instructions to the PLC through the human-machine interface. The PLC converts the instructions into analog data that the servo drive can recognize and receive. The servo drive then sends an analog signal to the servo motor based on the analog data, thereby controlling the servo motor's operation. The encoder then feeds back the motor's operating status to the central processing unit, completing the nine-axis linkage three-channel rotor spinning cycle. The limit switch is designed as a machine operation button to start and stop the spinning machine.

[0152] The control system of the CNC three-channel rotor spinning consists of control system hardware and control system software. The control system hardware consists of a host computer, a slave computer and a communication interface. According to the requirements of the human-computer interaction mode, the host computer can be composed of a remote computer, a central control room or a local industrial computer, a touch screen, etc. The host computer mainly completes the human-computer interaction function, and inputs the initial parameters required for running the rotor spinning machine (equipment initial parameters, raw material initial parameters, operation initial parameters), yarn specifications (line density, blending ratio, twist, segment length), (three-channel drafting multiples, forming twist, traverse stroke and level upgrade) and equipment operation parameters (three cotton feeding roller speeds, middle roller speed, combing roller speed, rotor speed, yarn drawing speed, winding speed, traverse speed, air flow speed and pressure), etc. through the keyboard or touch screen. The lower computer can be a programmable controller (PLC) or a single-chip microcomputer. The lower computer receives instructions from the upper computer and converts them into signals with corresponding timing and sends them to the corresponding drivers. The drivers then convert them into pulse voltage (or current) signals, thereby precisely controlling the three-channel CNC rotor spinning system. Communication between the upper and lower computers, such as a touch screen, uses RS232 serial communication or RS485 serial communication. If a microcomputer is used as the upper computer, traditional serial communication or PROFIBUS-DP two-wire communication is used, and program development tools are used to achieve communication between the PLC and the upper computer. If a remote computer or operation and maintenance platform is used as the upper computer, an industrial 5G router is used, and the Modbus-RTU communication protocol is used to complete the relevant data transmission. The Internet treasure uses a SIM card dial-up connection to connect to the internal platform. The intelligent cloud management platform connects to the internal platform through a virtual serial port and the TCP / IP communication protocol. This realizes wireless, two-way, accurate, and secure data communication from the PLC programmable controller to the Internet treasure, and from the Internet treasure to the intelligent cloud management platform. In the construction of the lower computer 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 interconnected for communication to achieve control of the roller speed.

[0153] The control system software includes the upper computer touch screen program and the lower computer PLC program. The upper computer touch screen adjusts process parameters through software counter assignment. The analog value is transmitted to the A / D converter through the touch screen and SD card reading. The A / D converter converts the analog value into a digital value that can be recognized by the PLC controller, thereby completing the digital-to-analog conversion and transmitting the information. The software function design includes the assignment of roller speed, the design of interrupt routines, and the assignment of basic process parameters to ensure the smooth progress of the process flow.

[0154] Specifically based on a CNC three-channel rotor spinning system and according to the full-color gamut gridded color mixing model, the following steps i to ii are followed to realize the color control of the formed yarn using a ternary nonlinear coupling-superposition color mixing sample.

[0155] Step i. Based on the structure of the CNC three-channel rotor spinning system, the CNC rotor spinning forming process of ternary nonlinear coupling-superimposed mixed color samples, and the coordinated control mechanism of the three elements of yarn color-mixing ratio-feed roller speed ratio, a spinning mechanism for full-color gamut colored yarn based on the CNC three-channel rotor spinning system is constructed.

[0156] In the above step i, based on the structure of the CNC three-channel rotor spinning system, the linear densities of the three primary colors of cotton slivers fed into the three channels are defined as ρ x ,ρ y ,ρ0, and ρ x =ρ y =ρ0=ρ, and its 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 ), the linear densities after middle roller drawing are After the yarn is drawn by the yarn delivery roller, the linear density becomes The combined line density is of spun yarn, namely:

[0157] definition is the linear velocity of the three feeding rollers x, y, and o, V z is the linear speed of the middle roller, ω1 is the speed of the combing roller, ω2 is the speed of the rotor, V s is the yarn drawing roller linear speed, is the blending ratio of the three primary color fibers of the forming yarn, To shape the yarn color, the CNC rotor spinning forming process based on the three-dimensional nonlinear coupling-superposition color mixing sample is constructed as follows;

[0158] (1) Draft ratio at each level of rotor spinning:

[0159] set up is the total draft ratio of the delivery roller relative to the three feeding rollers o, x, y, and is the primary draft ratio of the middle roller relative to the three feeding rollers o, x, y, and E2 is the secondary draft ratio of the delivery roller relative to the middle roller. Then the primary draft ratio of the middle roller relative to the three feeding rollers x, y, o is for:

[0160] The secondary draft ratio of the lead roller relative to the middle roller is E2: E2 = V s / V z (36)

[0161] The total draft ratio of the delivery roller relative to the three feeding rollers x, y, and o is for:

[0162] (2) Yarn density:

[0163] (3) Yarn blending ratio:

[0164] (4) Yarn color:

[0165] 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 ) are the colors of the three cotton strips, The yarn mixing ratio is formed after drawing, combing and rotor coagulation and twisting. The color of the formed yarn, and:

[0166] (5) Yarn twist: N w =ω2 / V s (41).

[0167] The coordinated control mechanism of the three elements of yarn color, color mixing ratio and feeding roller speed is further constructed as follows;

[0168] (1) The mechanism of controlling the yarn blending ratio and color based on the speed of the feeding roller;

[0169] According to formula (37), by adjusting the linear speed of the feeding roller The yarn blending ratio can be adjusted as follows:

[0170] According to formula (38), by adjusting the linear speed of the feeding roller Adjustable yarn color as follows:

[0171] (2) The mechanism of regulating yarn color and feed roller speed based on blending ratio;

[0172] According to formula (38), by adjusting the yarn blending ratio The yarn color can be adjusted as follows:

[0173] According to formula (44), by adjusting the yarn blending ratio λ s (j,δ)=[λ x (j,δ),λ y (j,δ),λ o (j,δ)] can adjust the feeding roller speed as follows:

[0174] (3) The mechanism of controlling the blending ratio and feeding roller speed based on yarn color;

[0175] According to formula (45), by adjusting the yarn color The yarn blending ratio can be adjusted as follows:

[0176] According to formula (45), by adjusting the yarn color Adjustable feeding roller speed The coordinated control mechanism of the three elements of yarn color, color mixing ratio and feed roller speed in the CNC three-channel rotor spinning system is obtained, as shown in Figure 6.

[0177] Step ii. Obtain the color ratio of each grid point mixed color sample through the color value of each grid point mixed color sample in the full color gamut gridded color mixing model, and construct the spinning process of the mixed color yarn of the CNC three-channel rotor spinning system according to the spinning mechanism of the full color gamut colored yarn based on the CNC three-channel rotor spinning system to realize the color control of the formed yarn.

[0178] In practical applications, the above step ii is first performed as follows: the color value of the mixed color sample at each grid point in the full color gamut gridded color mixing model is used to obtain the color mixing ratio of each grid point mixed color sample;

[0179] The color matrix of all grid mixed color samples based on the full color gamut grid mixed color model is as follows:

[0180] Color values ​​of each grid mixed color sample in the full color gamut grid mixed color model The mixing ratio of base color fiber of forming yarn is Then, according to formula (42), we can obtain The corresponding base color fiber blend ratio in the formed yarn is as follows:

[0181] Based on formula (29), the mixing ratio of all grid mixed color samples in the full color gamut grid mixed color model is The mixing ratio matrix integrated into the full color gamut gridded color mixing model is as follows:

[0182] Then, according to the spinning mechanism of full-color gamut colored yarn based on the CNC three-channel rotor spinning system, the spinning process of mixed-color yarn of the CNC three-channel rotor spinning system is constructed as follows to realize the color control of the formed yarn;

[0183] The linear density of each grid color-blending yarn in the full color gamut grid color-blending model is defined as The yarn delivery roller speed is V s The linear density of the cooked cotton strips fed into the three channels is ρ, then according to formula (37), the feeding speed of the three back rollers corresponding to the spinning blend ratio is obtained. The corresponding full color gamut grid color mixing model can be spun through this parameter. The mixed color yarn is as follows:

[0184] definition Then the speed matrix of the three rear rollers feeding corresponding to all the mixed yarns in the full color gamut grid mixed color model is obtained:

[0185] Density of mixed color yarn spun based on full color gamut gridded mixed color model The integrated full color gamut color mixing model line density matrix is ​​as follows:

[0186] In the full color gamut grid color mixing model, there are 6n×(m+1)×(p+1) mixed color yarn samples. When i=1,2,3,...,6n-1,6n, mixed color yarn Hue Complete The change of hue is 0°~360°; when j=1,2,3,...,m,m+1, the mixed color yarn Color Finish The range of chroma change is S i =0~1; when When the mixed brightness is completed Changes, such as taking L1≈0, L p ≈1, then the brightness range is

[0187] By analyzing equations (46)-(51), we can know that the 6n×(m+1)×(p+1) mixed color yarn samples spun based on the full color range grid mixed color model are The color gamut range achieved by its hue H, saturation S, and lightness L is as follows:

[0188] The above design was applied to a practical example, constructing a full-gamut color matching system based on five lightness planes totaling 35 primary colors. The first step was to obtain the color values ​​of the 35 primary color fibers. Based on the need for full-gamut color control, the isolightness plane was used as the matching plane for hue and chroma control. Five gradient lightness values ​​were selected to design the isolightness plane. Within the isolightness plane, six gradient hue values ​​were selected for hue design, and high and low chroma values ​​were selected for chroma design. The resulting color values ​​of the 35 primary color fibers are shown in Table 1.

[0189] Table 1

[0190] Next is the construction of the full color gamut color matching model of 35 primary colors, by combining the seven primary color fibers of the five brightness planes (R i ), Yellow (Y i ), Green (G i ), Green(C i ), Blue (B i ), Magenta (M i ), Yellow (Y i ), ash (O i ) are combined and mixed according to the ternary nonlinear coupling-superposition color mixing mode to obtain a low-lightness plane, a medium-low-lightness plane, a reference lightness plane, a medium-high-lightness plane, and a high-lightness plane. The five lightness planes obtained are arranged in the order of lightness values ​​to form a full-color gamut gridded color mixing model as shown in FIG7 . Specifically, as shown in FIG8a , FIG8b , and FIG8c , the process of obtaining the five lightness planes is as follows:

[0191] Low brightness surface: Select R 1 -Y 1 -O 1 、Y 1 -G 1 -O 1 , G 1 -B 1 -O 1 、B 1 -C 1 -O1 、C 1 -M 1 -O 1 、M 1 -R 1 -O 1 Perform ternary coupling-superposition color mixing to obtain a low-lightness surface.

[0192] 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-superposition color mixing, you can obtain medium and low brightness surfaces.

[0193] Reference brightness surface: Select R 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-superposition color mixing, a reference lightness surface can be obtained.

[0194] Medium and high brightness surface: select R 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-superposition color mixing, you can obtain a medium-to-high brightness surface.

[0195] High brightness surface: Select R 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 By performing ternary coupling-superposition color mixing, a high-brightness surface can be obtained.

[0196] Next, a three-variable coupling-superposition color mixing mode based on equal brightness is constructed, specifically based on the full color gamut color matching model of 35 primary colors, and a three-variable coupling-superposition color mixing mode is constructed, assuming n=5, m=5, p=4, i=1,2,…,29,30, j=1,2,…,5,6, The three primary color fibers are gridded and mixed according to the three-variable coupling-superposition mixing mode to obtain the grid point ψ(i,j,k). The mixed sample weight corresponding to the grid point is It can be expressed as follows:

[0197] The mixing ratio of base color fibers in the mixed sample corresponding to the grid point It can be expressed as follows:

[0198] From formula (49), we can get the mixing ratio of the three primary color fibers relative to the variable The changes of are shown in Figures 9a, 9b, and 9c.

[0199] The mixed color value corresponding to the grid point It can be expressed as follows:

[0200] By combining the seven primary color fibers of the five brightness planes (R i ), Yellow (Y i ), Green (G i ), Green(C i), Blue (B i ), Magenta (M i ), Yellow (Y i ), ash (O i ) and mixed according to the ternary nonlinear coupling-superposition color mixing mode to obtain a low-lightness plane, a medium-low-lightness plane, a reference lightness plane, a medium-high-lightness plane, and a high-lightness plane. The five lightness planes obtained are arranged in order of lightness value to form the full-color gamut color mixing model shown in Figure 10. Furthermore, as shown in Figure 11, the process of obtaining the five lightness planes is as follows:

[0201] Low brightness surface: Select R 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 Perform ternary coupling-superposition color mixing to obtain a low-lightness surface.

[0202] 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-superposition color mixing, you can obtain medium and low brightness surfaces.

[0203] Reference brightness surface: Select R 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-superposition color mixing, a reference lightness surface can be obtained.

[0204] Medium and high brightness surface: select R 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-superposition color mixing, you can obtain a medium-to-high brightness surface.

[0205] High brightness surface: Select R 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 By performing ternary coupling-superposition color mixing, a high-brightness surface can be obtained.

[0206] Regarding the grid point color values ​​and mixing ratios of the full color gamut color mixing model, the full color gamut color mixing model is constructed based on the coupled superposition of 35 primary color fibers. The color values ​​and mixing ratios of all grid points in the full color gamut color mixing model can be obtained from the colors of the 35 primary color fibers. Assuming that the mixing ratios of each grid point in the full color gamut color mixing model are The mixing ratio matrix composed of the mixing ratios of all grid points in the full color gamut color mixing model is As shown in formula (58), the specific grid point mixing ratio is shown in Table 2.

[0207] Table 2

[0208] In Table 2, ζ = 1, 2, 3, 4, 5, representing 5 lightness planes respectively; in the lightness plane, when i = 1 to 5, the three primary color fibers for mixing are RYO; when i = 6 to 10, the three primary color fibers for mixing are YGO; when i = 11 to 15, the three primary color fibers for mixing are GCO; when i = 16 to 20, the three primary color fibers for mixing are CBO; when i = 21 to 25, the three primary color fibers for mixing are BMO; when i = 26 to 30, the three primary color fibers for mixing are MGO.

[0209] Assume that the color value of each grid point in the full color gamut color mixing model is The color value matrix composed of the color values ​​of all grid points in the full color gamut color mixing model is As shown in formula (59), the specific grid point color values ​​are shown in Tables 3 to 7.

[0210] Among them, Table 3 represents the grid point color values ​​of the full color gamut gridded color mixing model, Table 4 represents the grid point color values ​​of the full color gamut gridded color mixing model, Table 5 represents the grid point color values ​​of the full color gamut gridded color mixing model, Table 6 represents the grid point color values ​​of the full color gamut gridded color mixing model, and Table 7 represents the grid point color values ​​of the full color gamut gridded color mixing model.

[0211] Table 3

[0212] Table 4

[0213] Table 5

[0214] Table 6

[0215] Table 7

[0216] The spinning process design for full-color gamut control of the color of the formed yarn is based on the full-color gamut color mixing model and the three-element coordinated control mechanism of the CNC rotor spinning machine. The yarn mixing ratio is calculated from the color of the formed yarn through formula (60), and the three-roller feeding speed of the yarn is calculated from the mixing ratio of the formed yarn through formula (61), thereby determining the spinning process of the yarn.

[0217] Assume that the three-channel feeding speed of full-color blended yarn is The mixing ratio matrix is ​​obtained from the full color gamut color mixing model through formula (60): The obtained three-channel feeding speed matrix of the full-color gamut blended yarn is shown in formula (61), and the specific values ​​are shown in the three-roller feeding speed parameter table of the full-color gamut rotor blended yarn in Table 8, where ζ = 1, 2, 3, 4, 5, representing 5 brightness planes respectively; in the brightness plane, when i = 1-5, the three-primary color fiber fed is RYO; when i = 6-10, the three-primary color fiber fed is YGO; when i = 11-15, the three-primary color fiber fed is GCO; when i = 16-20, the three-primary color fiber fed is CBO; when i = 21-25, the three-primary color fiber fed is BMO; when i = 26-30, the three-primary color fiber fed is MGO.

[0218] Table 8

[0219] During the calculation process, the designed yarn specifications are: 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 delivery roller speed 18m / min.

[0220] The embodiments of the present invention are described in detail above with reference to the accompanying drawings. However, the present invention is not limited to the above embodiments. Various changes can be made within the scope of knowledge possessed by ordinary technicians in this field without departing from the spirit of the present invention.

Claims

1. Construction of a full color gamut color mixing model based on a cylindrical color model, characterized by: Firstly, taking the nodes formed by the intersection of the gradient isoluminance surface, the gradient isochromaticity surface and the gradient isohue surface of the cylindrical color model as the reference, the polar coordinate value and the color value of the node are obtained, and then the multi-primary color fiber corresponding to each node is obtained by dyeing based on the color value of each node, and the cylindrical full color gamut color matching model constructed by the multi-primary color fiber, as well as its isoluminance color matching surface, isohue color matching surface and isochromatic color matching surface are obtained; Then, the weight of the multi-primary color fiber is discretized with a preset gradient, and two color and gray fibers of adjacent hues are selected in turn on the equal brightness surface to mix with discrete weights to construct a ternary nonlinear coupling-superposition color mixing model, that is, a multi-primary color fiber gridding color mixing model; Finally, the node coordinates of the primary color fibers on each equal-brightness plane are integrated with the grid point coordinates of each group of ternary nonlinear coupling-superposition color mixing models to obtain a full-color gamut gridded color mixing model and its equal-brightness, equal-hue, and equal-chroma color mixing spectrum.

2. The full color gamut color mixing model based on the cylindrical color model according to claim 1, characterized in that: The method comprises the following steps A to F: Step A. Based on the color gamut range of the cylindrical color model constructed with HSL as the standard, a number of equal lightness surfaces are divided according to the corresponding preset gradient based on the lightness value range of 0-1, 6 equal hue surfaces are divided according to the corresponding preset gradient based on the hue value range of 0° to 360°, and a number of equal chroma surfaces are divided according to the corresponding preset gradient based on the chroma value range of 0-1; Step B. using the intersection points formed by the intersection of the above-mentioned equal lightness surface, equal hue surface, and equal chroma surface as nodes representing the cylindrical color model, and giving the polar coordinate values ​​and theoretical color values ​​of each node in the cylindrical color model; Step C. based on the theoretical color value of each node in the cylindrical color model, dyeing to obtain the multi-primary color fiber corresponding to each node, and weighing the weight of each multi-primary color fiber in equal amounts as the fiber weight of each node, and obtaining the color value of each multi-primary color fiber as the fiber color value of each node; Step D. Select multi-color primary color fibers with equal height coordinate values ​​to form an equal-brightness color matching surface of a cylindrical color model, integrate each node on the equal-brightness color matching surface to give a coordinate matrix, a weight matrix, and a color matrix of each equal-brightness fiber, and obtain a color matching system of each equal-brightness surface of the cylindrical color model; Select multi-color primary color fibers corresponding to nodes with equal polar angle coordinate values ​​to form an isochromatic color matching surface of a cylindrical color model, integrate each node on the isochromatic color matching surface to give the coordinate matrix, weight matrix, and color matrix of its isochromatic fiber, and obtain the color matching system of each isochromatic surface of the cylindrical color model; Select multi-color primary color fibers with equal polar radius coordinate values ​​to form an isochromatic color matching surface of a cylindrical color model, integrate each node on the isochromatic color matching surface to give the coordinate matrix, weight matrix, and color matrix of its isochromatic fiber, and obtain the color matching system of each isochromatic surface of the cylindrical color model; Thus, a cylindrical full-color gamut color matching model constructed by multi-primary color fibers is obtained; Step E. Based on the cylindrical full-color gamut color matching model, the weight of the multivariate primary color fibers is discretized with a preset gradient to obtain discrete weights expressed by respective discrete variables. Based on each equal-brightness color matching surface as a reference, the discrete weights of two groups of color fibers with adjacent hues and one group of gray fibers are sequentially selected on the equal-brightness color matching surface to perform ternary nonlinear coupling-superposition color mixing, wherein the two groups of color fibers are coupled and mixed, and then nonlinear superposition color mixing is performed with the gray fibers. A ternary nonlinear coupling-superposition color mixing pattern is constructed with discrete weight as an independent variable, each group of mixed samples corresponds to a group of three-dimensional discrete variables, each group of three-dimensional discrete variables corresponds to a grid point and is the coordinate value of the grid point, each grid point corresponds to a three-dimensional nonlinear coupling-superposition color mixing sample, each group of three-dimensional nonlinear coupling-superposition color mixing samples is assembled to form a multivariate primary color fiber gridded color mixing model, and the weight matrix, mixing ratio matrix, and color matrix of the ternary nonlinear coupling-superposition color mixing model are respectively obtained with the grid point coordinates as independent variables; Step F. Based on each equal-brightness color matching surface, the grid point coordinates of each ternary nonlinear coupling-superposition color mixing model are integrated with the coordinates of each base color node to obtain a full-color gamut gridded color mixing model based on each equal-brightness color matching surface for gridded color mixing, and further obtain the full-color 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.

3. The full color gamut color mixing model based on the cylindrical color model according to claim 1, characterized in that: In step A, based on the brightness value gradient level in the preset primary color division method The hue value gradient level τ=1,2,3,4,5,6, the chroma value level μ=0,1, with the chroma value level μ=1, the hue value gradient level and the lightness value gradient level are serialized to construct the corresponding 6×(p+1) color fibers; and with the chroma value level μ=0, the hue value gradient level τ=0, the lightness value gradient level is serialized to construct the corresponding (p+1) gray fibers, and then the color fibers and the gray fibers totaling 7×(p+1) primary color fibers constitute a multi-primary color fiber color matching system.

4. The full color gamut color mixing model based on the cylindrical color model according to claim 1, characterized in that: In the step D, the color fiber in the multi-color primary color fiber and the hue value H τ The corresponding polar coordinate is θ τ =360°×(τ-1) / 6, and chroma value S μ The corresponding polar radius coordinate is r μ =μ, and brightness value The corresponding height coordinate is The gray fiber in the multi-color primary color fiber corresponds to the hue value H0 and takes its polar angle coordinate as θ0 = 0°, the chroma value S0 and takes its polar radius coordinate as r0 = 0, and the lightness value The corresponding height coordinate is The full color gamut color matching model is constructed, including the 7×(p+1) node positions in the cylindrical color matching model corresponding to the multi-primary color fibers, and the color matching system on each equal brightness surface of the cylindrical color matching model is constructed as follows: Based on the lightness value gradient level The three-dimensional polar coordinates of the node positions of each color fiber corresponding to the multi-color primary color system on each equal brightness surface The three-dimensional polar coordinates of the node positions of each gray fiber as follows: 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: Further based on the brightness value gradient level Color values ​​of the node positions of each color fiber corresponding to the multi-color primary color system on each equal brightness surface The color value of each gray fiber node position as follows: Based on (p+1) equal brightness surfaces, the color values ​​of 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: The full color gamut color matching model is constructed, including the 7×(p+1) node positions in the cylindrical color matching model corresponding to the multi-primary color fibers, and the color matching system on each hue surface of the cylindrical color matching model is constructed as follows: Based on the hue value gradient level τ=1,2,3,4,5,6, the three-dimensional polar coordinates of the node positions of each color fiber corresponding to the multi-primary color system on each hue plane The three-dimensional polar coordinates of the node positions of each gray fiber as follows: Based on the six isochromatic 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: Further based on the hue value gradient level τ=1,2,3,4,5,6, the color value of the node position of each color fiber corresponding to the multi-primary color system on each hue plane is The color value of each gray fiber node position as follows: Based on the six isochromatic surfaces, the color values ​​of 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: The full color gamut color matching model is constructed, including the 7×(p+1) node positions in the cylindrical color matching model corresponding to the multi-primary color fibers, and the color matching system on the chromaticity surface and gray axis of the cylindrical color matching model is constructed as follows: Based on the chroma value level μ=1, the three-dimensional polar coordinate values ​​of the node positions of each color fiber corresponding to the multi-primary color system on the equal chroma surface are constructed as follows; and Based on the chroma value level μ = 0, construct the three-dimensional polar coordinate value of the node position corresponding to the gray fiber of the multi-primary color system on the gray axis as follows: Expanding formula (15) yields: R1 radius surface: r0 grayscale axis: Further based on the chroma value level μ=1, the color values ​​of the node positions of the multi-primary color system corresponding to each color fiber on the equal chroma plane are as follows; and based on the chroma value level μ=0, the color values ​​of the node positions of the multi-primary color system corresponding to the gray fiber on the gray axis are as follows; Isochromatic surface: Grayscale axis: Based on the isochromaticity surface and gray axis, 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 multi-primary color fiber pair. The corresponding color matrix as follows:

5. The full color gamut color mixing model construction based on the cylindrical color model according to claim 4, characterized in that: In the step E, based on the 6×(p+1) color fibers and (p+1) gray fibers in the multi-primary color fibers, the gray primary color fiber ο corresponding to the central axis on the cylindrical color matching model corresponding to the multi-primary color fibers, and the color primary color fibers α, β, γ, δ, ε, ο corresponding to the positions divided by the preset primary color division method on the cylindrical color matching model with a lightness value of 1, a chroma value of 1, and a hue value range of 0° to 360°, constitute seven primary color fibers, based on the lightness value gradient level in the preset primary color division method. p+1, the weight of each primary color fiber is obtained as follows: According to the discrete variables i'=1,2,…,n,n+1 of the preset weights corresponding to the colored primary color fibers and j=1,2,…,m,m+1 of the preset weights corresponding to the gray primary color fibers, the weights of the seven primary color fibers are calculated. The discretization process is as follows: Further, according to the preset discrete variables i1, i2 = 1, 2, ..., n, n + 1, according to the discrete weight of the primary color fiber, 6 groups of ternary nonlinear coupling groups are constructed by combining any two colored primary color fibers with the gray primary color fiber. That is, construct 6 groups of three-element nonlinear couplings corresponding to the color mixing weights as follows; For the six groups of three-way nonlinear coupling-superposition, the two primary color fibers with adjacent hues are first coupled and mixed, and then nonlinearly superimposed and mixed with the gray primary color fibers to construct a three-way nonlinear coupling-superimposition color mixing mode, and the discrete variable i1=i2 is set, and the weights of the six groups of three-way nonlinear coupling-superimposition color mixing samples are obtained respectively. as follows:

6. The full color gamut color mixing model construction based on the cylindrical color model according to claim 5, characterized in that: In step F, based on the brightness value gradient level in the preset primary color division method The weights of the 6 groups of ternary nonlinear coupling-superposition mixed color samples under each equal brightness surface are as follows: The discrete variables are: The weights of the primary color fibers in the nonlinear three-element coupling-superposition color mixing sample are defined as And their color values ​​are And according to the preset mixed sample weight discretization value n, combined with the number of ternary nonlinear coupling-superposition color mixing modes 6, the discrete variable i=1,2,3,…,6n-1,6n is defined, and the sequence number of the nonlinear ternary coupling-superposition color mixing group is ξ (ξ=1,2,3,4,5,6); When i=1,2,3,…,n-1,n, let ξ=1, When i=n+1,n+2,n+3,…,2n-1,2n; let ξ=2, When i=2n+1,2n+2,2n+3,…,3n-1,3n; let ξ=3, When i=3n+1,3n+2,3n+3,…,4n-1,4n; let ξ=4, When i=4n+1,4n+2,4n+3,…,5n-1,5n; let ξ=5, When i=5n+1,5n+2,5n+3,…,6n-1,6n; let ξ=6, Then, according to the preset mixed sample weight discretization value n, the weight discretization is performed for the 6 groups of ternary nonlinear coupling-superposition mixed color samples in the multivariate primary color fiber grid mixed color model, and all the mixed color samples discretized at each brightness value gradient level are used as each grid point in the full color range grid mixed color model to obtain the weight of the mixed color sample at each grid point and the primary color fiber mixing ratio in the mixed color sample at each grid point as follows: Then, the weight of the mixed color samples at each grid point with respect to the mixing ratio of the base color fiber is obtained as follows: A full-color gamut grid color mixing mode is formed, in which: is the number of the mixed color sample at each grid point, is the weight of the mixed color sample at each grid point, is the base color fiber mixing ratio in the color mixing sample of each grid point; further based on the three-dimensional polar coordinates of each grid point in the full color gamut grid color mixing mode as follows: Then we get: That is, the three-dimensional polar coordinate matrix of 6n×(m+1)×(p+1) grid points in the full color gamut grid color mixing mode is obtained as follows: Then get the color of all the mixed color samples of each grid point As follows, a full color gamut gridded color mixing model is constructed; or: Based on the lightness value gradient level For the full color gamut grid color mixing model, the grid point weight matrix of the full color gamut color mixing model can be obtained by integrating all grid point coordinates with node coordinates. as follows: Based on the lightness value gradient level For the full color gamut grid color mixing model, all grid point coordinates and node coordinates are integrated to obtain the mixing ratio matrix of all grid points in the full color gamut color mixing model. as follows: Based on the lightness value gradient level For the full color gamut grid color mixing model, all grid point coordinates and node coordinates are integrated to obtain the color matrix of all grid points in the full color gamut color mixing model. as follows:

7. A method for controlling the color of a formed yarn constructed by using the full color gamut color mixing model based on a cylindrical color model as described in any one of claims 1 to 6, characterized in that: Based on the 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 according to the following steps i to ii; Step i. Based on the structure of the CNC three-channel rotor spinning system, the CNC rotor spinning forming process of the ternary nonlinear coupling-superimposed mixed color sample, and the coordinated control mechanism of the three elements of yarn color-mixed color ratio-feed roller speed ratio, a spinning mechanism of full-color gamut colored yarn based on the CNC three-channel rotor spinning system is constructed; Step ii. Obtain the color mixing ratio of each grid point mixed color sample through the color value of each grid point mixed color sample in the full color gamut gridded color mixing model, and construct the spinning process of mixed color yarn of the CNC three-channel rotor spinning system according to the spinning mechanism of full color gamut colored yarn based on the CNC three-channel rotor spinning system to realize the color control of the formed yarn.

8. The method for color control of formed yarns constructed by using a full color gamut color mixing model based on a cylindrical color model according to claim 7, characterized in that: In the step i, based on the structure of the CNC three-channel rotor spinning system, the linear densities of the three primary colors of cotton slivers fed into the three channels are defined as ρ x ,ρ y ,ρ0, and ρ x =ρ y =ρ0=ρ, and 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 ), the linear density after drawing by the middle roller is After the yarn is drawn by the yarn drawing roller, the linear density becomes The combined line density is of fine yarn, namely: definition is the linear speed of the three feeding rollers x, y, and o, V z is the linear speed of the middle roller, ω1 is the speed of the combing roller, ω2 is the speed of the rotor, V s is the yarn drawing roller line speed, is the blending ratio of the three primary color fibers of the formed yarn, To shape the yarn color, the CNC rotor spinning shaping process about the three-dimensional nonlinear coupling-superposition color mixing sample is constructed as follows; (1) Draft ratio at each level of rotor spinning: set up is the total draft ratio of the delivery roller to the three feeding rollers o, x, y in each channel, is the primary drafting ratio of the middle roller to the three feeding rollers o, x, y, and E2 is the secondary drafting ratio of the yarn delivery roller to the middle roller. Then the primary drafting ratio of the middle roller to the three feeding rollers x, y, o is for: Then the secondary draft ratio of the lead roller to the middle roller is E2: E2=V s / V z (36) The total draft ratio of the delivery roller relative to the three feeding rollers x, y, and o is for: (2) Yarn density: (3) Yarn blending ratio: (4) Yarn color: 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 ) are the colors of the three cotton strips, To form the yarn blend ratio after drawing, combing and rotor coagulation and twisting. The color of the formed yarn, and: (5) Yarn twist: N w =ω2 / V s (41) 9. The method for color control of formed yarns constructed by using a full color gamut color mixing model based on a cylindrical color model according to claim 8, characterized in that: In the step i, based on the structure of the CNC three-channel rotor spinning system, a coordinated control mechanism of the three elements of yarn color, color mixing ratio and cotton feeding roller speed is constructed as follows; (1) The mechanism of controlling the yarn blending ratio and its color based on the speed of the feeding roller; According to formula (37), by adjusting the feeding roller line speed The yarn blending ratio can be adjusted as follows: According to formula (38), by adjusting the feeding roller line speed Adjustable yarn color as follows: (2) The mechanism of regulating 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: According to formula (44), by adjusting the yarn blending ratio λ s (j,δ)=[λ x (j,δ),λ y (j,δ),λ o (j,δ)] can adjust the feeding roller line speed as follows: (3) The mechanism of regulating the blending ratio and feeding roller speed based on the yarn color; According to formula (45), by adjusting the yarn color The yarn blending ratio can be adjusted as follows: According to formula (45), by adjusting the yarn color Adjustable feeding roller speed Thus, the coordinated control mechanism of the three factors of yarn color, color mixing ratio and feeding roller speed of the CNC three-channel rotor spinning system is obtained.

10. The method for color control of formed yarns constructed by using a full color gamut color mixing model based on a cylindrical color model according to claim 9, characterized in that: In the step ii, firstly, the color mixing ratio of each grid point mixed color sample is obtained by using the color value of each grid point mixed color sample in the full color gamut gridded color mixing model; The color matrix of all grid mixed color samples based on the full color gamut grid mixed color model is as follows: Color values ​​of each grid color sample in the full color gamut grid color mixing model The mixing ratio of base color fibers of the formed yarn is Then, according to formula (42), we can obtain The corresponding base color fiber mixing ratio in the formed yarn is as follows: Based on formula (29), the mixing ratio of all grid mixed color samples in the full color gamut grid mixed color model is The mixing ratio matrix integrated into the full color gamut grid color mixing model is as follows: Then, according to the spinning mechanism of full-color 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-color yarn is constructed as follows to realize the color control of the formed yarn; The linear density of each grid mixed color yarn in the full color gamut grid mixed color model is defined as The yarn delivery roller speed is V s , the linear density of cooked cotton sliver fed into the three channels is ρ, then according to formula (37), the feeding speed of the three back rollers corresponding to the spinning blending ratio is calculated The corresponding full color gamut grid color mixing model color can be spun through this parameter: The mixed color yarn is as follows: definition Then the speed matrix of the three rear rollers feeding corresponding to all the mixed color yarns in the full color gamut grid mixed color model is obtained: Density of mixed color yarn spun based on full color gamut grid mixed color model The integrated full color gamut color mixing model line density matrix is ​​as follows:

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