WO2022110587A1 - 一种彩色纤维六维混色空间网格模型及其网格点阵列颜色矩阵构建方法及应用 - Google Patents
一种彩色纤维六维混色空间网格模型及其网格点阵列颜色矩阵构建方法及应用 Download PDFInfo
- Publication number
- WO2022110587A1 WO2022110587A1 PCT/CN2021/082628 CN2021082628W WO2022110587A1 WO 2022110587 A1 WO2022110587 A1 WO 2022110587A1 CN 2021082628 W CN2021082628 W CN 2021082628W WO 2022110587 A1 WO2022110587 A1 WO 2022110587A1
- Authority
- WO
- WIPO (PCT)
- Prior art keywords
- color
- dimensional
- construct
- equal
- constant
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Ceased
Links
Images
Classifications
-
- G—PHYSICS
- G06—COMPUTING OR CALCULATING; COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/20—Design optimisation, verification or simulation
- G06F30/23—Design optimisation, verification or simulation using finite element methods [FEM] or finite difference methods [FDM]
-
- G—PHYSICS
- G06—COMPUTING OR CALCULATING; COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/10—Geometric CAD
-
- G—PHYSICS
- G06—COMPUTING OR CALCULATING; COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F2113/00—Details relating to the application field
- G06F2113/12—Cloth
-
- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02P—CLIMATE CHANGE MITIGATION TECHNOLOGIES IN THE PRODUCTION OR PROCESSING OF GOODS
- Y02P90/00—Enabling technologies with a potential contribution to greenhouse gas [GHG] emissions mitigation
- Y02P90/30—Computing systems specially adapted for manufacturing
Definitions
- the invention relates to a color fiber six-dimensional color mixing space grid model, a grid point array color matrix construction method and application, and belongs to the technical field of color mixing space grid construction.
- Color fibers with different color effects can be obtained by technical means such as dyeing of textile fiber materials, dope dyeing, biological transgenic, and structural color generation.
- Colored colored yarns in theory, the basic color, blending ratio, blending method, and the structure of the forming yarns of the blended fibers have a great influence on the hue, lightness and saturation of the colored yarns, but in the actual production process, usually Based on a certain color mixing method and yarn structure, the selection of the basic color of the colored fiber and the selection of the color mixing ratio are mainly considered.
- the production of colored spun yarn requires the completion of color design, specification design and spinning process design of colored spun yarn.
- color design of color spinning there are usually the following six workflows: (1) Innovate the color of the yarn based on the existing color system, and develop the colored yarn. At this time, it is necessary to make different combinations of several colored fibers in the library and select different proportions for mixed color spinning, and select several color schemes from the trial-spun serialized colored yarns as new products for market promotion; (2) Based on popular colors or Designers personally like to select color systems to innovate yarn colors and develop colored yarns.
- the designer selects several groups of basic color systems for fiber dyeing according to his own understanding and imagination of colors, and combines several groups of color fibers selected by the designer in different combinations and selects different proportions for mixed color spinning.
- determine which kinds of colored fibers are used for mixed color spinning in what proportion? Send the trial-spun colored yarn samples to the customer for confirmation, and determine the color-spun yarn color scheme after several rounds.
- the core technology of producing colored yarns or colored yarns is to optimize the color scheme of colored yarns, whether it is based on the existing color system for yarn color innovation, or based on the designer's personal preference to select the color system for yarn color innovation, or based on the existing color system.
- For color reproduction it is necessary to be familiar with the changing laws of color hue, lightness and saturation, to be sensitive to the subtle differences between colors, and to master the color matching skills of colored yarns.
- the design of the color scheme mainly relies on the designer's personal experience and intuition.
- the completion of the color matching process mainly relies on manual sample making, manual dyeing, and manual color matching.
- the evaluation of the color matching results mainly relies on the observation of the physical samples on the spot and the subjective feeling. Evaluate.
- the color mixing process of colored fibers is the color mixing process, which belongs to the space juxtaposition of colors.
- the color mixing process of color fibers is the color mixing process of color materials.
- the traditional color matching method does not establish a digital physical model to express the color mixing process of color fibers. It is necessary to build a physical model and digitally express the color mixing process of color fibers;
- the color mixing process of colored fibers is to select several colored fibers as the basic colors, and obtain a serialized color spectrum by changing the blending ratio.
- the traditional color matching method produces mixed color samples by hand proofing, and there is no digital method to obtain the color value of the mixed color body based on the color value of the base color and the change of the mixed color ratio.
- Digital virtual color matching
- Serialized chromatograms can be obtained through the color matching process of colored fibers.
- the traditional color matching method is obtained by manual proofing, which is inefficient, time-consuming, and inconvenient for remote transmission. It is necessary to construct a standard color mixing chromatogram for the combination of eight primary color fibers such as red, green, blue, cyan, blue, magenta, black, and white to provide a reference for the color matching of colored yarns;
- the technical problem to be solved by the present invention is to provide a color fiber six-dimensional color mixing space grid model and its grid point array color matrix construction method.
- a coordinate digital quantization process is introduced to realize the six-primary color RGB color mixing space color. visualization.
- the present invention designs a color fiber six-dimensional color mixing space grid model and its grid point array color matrix construction method. , ⁇ , ⁇ , and the quality of each primary color fiber corresponds to each coordinate axis in the six-dimensional coordinate system to realize the construction of a six-dimensional color mixing grid color mixing space grid point array model, including the following steps:
- Step A Determine the maximum mass of each primary color fiber according to the preset maximum mass ⁇ ⁇ , ⁇ ⁇ , ⁇ ⁇ , ⁇ ⁇ , ⁇ ⁇ , ⁇ ⁇ , ⁇ ⁇ corresponding to the six primary color fibers ⁇ , ⁇ , ⁇ , ⁇ , ⁇ respectively Respectively corresponding to the position of its set coordinate axis, and then enter step B;
- step C For the line segment between the origin and the coordinate axis position corresponding to the maximum mass of the primary color fiber ⁇ in the six-dimensional coordinate system, perform t equal division, that is, obtain t+1 points including the vertices at both ends of the line segment, and the the mass of each point on the line segment Represents the position direction of the coordinate axis and the serial number of each point corresponding to the origin in the six-dimensional coordinate system to the maximum mass of the primary color fiber ⁇ on the line segment; then enter step C;
- Step C Construct the mixing ratios ⁇ ⁇ (i, j, k, ⁇ , ⁇ ) and ⁇ ⁇ (i, j, k, ⁇ , ⁇ ) corresponding to the six primary color fibers ⁇ , ⁇ , ⁇ , ⁇ , and ⁇ respectively , ⁇ ⁇ (i, j, k, ⁇ , ⁇ ), ⁇ ⁇ (i, j, k, ⁇ , ⁇ ), ⁇ ⁇ (i, j, k, ⁇ , ⁇ ), ⁇ ⁇ (i, j, k, ⁇ , ⁇ ), ⁇ ⁇ (i, j, k, ⁇ , ⁇ ) are as follows, and then enter step D;
- Step D Construct the quality model of any point in the cube space corresponding to the six-dimensional color mixing grid color mixing space based on the preset maximum quality of the six primary color fibers ⁇ , ⁇ , ⁇ , ⁇ , ⁇ as follows, and then proceed to step E;
- Step E Constructing the six-dimensional color mixing grid color mixing space corresponding to the preset maximum quality of the six primary color fibers ⁇ , ⁇ , ⁇ , ⁇ , ⁇ , ⁇
- the quality matrix of any point in the cube space is as follows, and then enter step F;
- Step F Constructing the color value model of any point in the cube space based on the preset maximum quality of the six primary color fibers ⁇ , ⁇ , ⁇ , ⁇ , ⁇ , ⁇ corresponding to the color mixing space of the six-dimensional color mixing grid is as follows:
- step G wherein R ⁇ , G ⁇ , B ⁇ represent the RGB color corresponding to the primary color fiber ⁇ , R ⁇ , G ⁇ , B ⁇ represent the RGB color corresponding to the primary color fiber ⁇ , R ⁇ , G ⁇ , B ⁇ represents the RGB color corresponding to the primary color fiber ⁇ , R ⁇ , G ⁇ , B ⁇ represent the RGB color corresponding to the primary color fiber ⁇ , R ⁇ , G ⁇ , B ⁇ represent the RGB color corresponding to the primary color fiber ⁇ ; R ⁇ , G ⁇ , B ⁇ represent the RGB color corresponding to the primary color fiber ⁇ ; Corresponding to the color value of the mixed yarn of six primary color fibers ⁇ , ⁇ , ⁇ , ⁇ , ⁇ , ⁇ , R ⁇ (i,j,k, ⁇ , ⁇ , ⁇ ), G ⁇ (i,j,k, ⁇ , ⁇ , ⁇ ), B ⁇ (i, j, k, ⁇ , ⁇ ,
- Step G Constructing the color value matrix of any point in the cube space based on the preset maximum quality of the six primary color fibers ⁇ , ⁇ , ⁇ , ⁇ , ⁇ , ⁇ corresponding to the color mixing space of the six-dimensional color mixing grid is as follows:
- the color value model for any point in the cube space with the preset maximum quality is as follows:
- M 1,1 [ ⁇ i,j,k, ⁇ , ⁇ , ⁇ ].
- the primary color fiber ⁇ corresponds to the X axis in the six-dimensional coordinate system
- the primary color fiber ⁇ corresponds to the Y axis in the six-dimensional coordinate system
- the primary color fiber ⁇ corresponds to the six-dimensional coordinate system.
- the Z axis of the primary color fiber ⁇ corresponds to the U axis in the six-dimensional coordinate system
- the primary color fiber ⁇ corresponds to the V axis in the six-dimensional coordinate system
- the primary color fiber ⁇ corresponds to the W axis in the six-dimensional coordinate system
- k, ⁇ , ⁇ are respectively equal to 1, ..., n+1, construct (n+1) 3 -dimensional color arrays for ⁇ i, j, k, ⁇ , ⁇ , ⁇ ;
- i, k is a constant, and j, ⁇ , ⁇ are respectively equal to 1, ..., n+1, construct (n+1) 3 -dimensional color arrays for ⁇ i,j,k, ⁇ , ⁇ , ⁇ ;
- ⁇ is a constant, and j, k, ⁇ are equal to 1, ..., n+1 respectively, construct (n+1) 3 -dimensional color arrays for ⁇ i, j, k, ⁇ , ⁇ , ⁇ ;
- ⁇ is a constant, and j, k, ⁇ are equal to 1, ..., n+1, respectively, construct (n+1) 3 -dimensional color arrays for ⁇ i, j, k, ⁇ , ⁇ , ⁇ ;
- ⁇ is a constant, and i, k, ⁇ are respectively equal to 1,...,n+1, construct (n+1) 3 three-dimensional color arrays for ⁇ i,j,k, ⁇ , ⁇ , ⁇ ;
- ⁇ is a constant, and i, k, ⁇ are equal to 1, ..., n+1, respectively, construct (n+1) 3 three-dimensional color arrays for ⁇ i, j, k, ⁇ , ⁇ , ⁇ ;
- ⁇ is a constant, and i, j, ⁇ are respectively equal to 1,..., n+1, construct (n+1) 3 -dimensional color arrays for ⁇ i, j, k, ⁇ , ⁇ , ⁇ ;
- ⁇ is a constant, and i, j, ⁇ are equal to 1, ..., n+1, respectively, construct (n+1) 3 three-dimensional color arrays for ⁇ i, j, k, ⁇ , ⁇ , ⁇ ;
- ⁇ are constants, and i, j , k are equal to 1 , .
- ⁇ are constants, and i, k, ⁇ , Equal to 1, ..., n+1 respectively, construct (n+1) 2 four-dimensional color arrays for ⁇ i, j, k, ⁇ , ⁇ , ⁇ ;
- j is a constant, and i, k, ⁇ , ⁇ are respectively equal to 1, ..., n+1, construct (n+1) 2 four-dimensional color arrays for ⁇ i, j, k, ⁇ , ⁇ , ⁇ ;
- ⁇ are constants, and i, j, ⁇ , Equal to 1, ..., n+1 respectively, construct (n+1) 2 four-dimensional color arrays for ⁇ i, j, k, ⁇ , ⁇ , ⁇ ;
- i, j, ⁇ , ⁇ are respectively equal to 1, ..., n+1, construct (n+1) 2 four-dimensional color arrays for ⁇ i, j, k, ⁇ , ⁇ , ⁇ ;
- ⁇ is a constant, and i, j, k, ⁇ are equal to 1, ..., n+1, respectively, construct (n+1) 2 four-dimensional color arrays for ⁇ i, j, k, ⁇ , ⁇ , ⁇ ;
- i is a constant based on i, and j, k, ⁇ , ⁇ , Equal to 1, ..., n+1, respectively, construct (n+1) five-dimensional color arrays for ⁇ i, j, k, ⁇ , ⁇ , ⁇ ;
- i, j, k, ⁇ , ⁇ are constants, and i, j, k, ⁇ , ⁇ are equal to 1, .
- the present invention designs an application of a six-dimensional color mixing space grid model for color fibers and a method for constructing a color matrix of a grid point array.
- ⁇ , ⁇ , ⁇ , ⁇ , ⁇ , ⁇ preset the color value of any point in the cube space with the maximum quality, stored in the database, and used to analyze the target color in the following way;
- a color detector to detect the RGB color detection data corresponding to the target color, and find the grid point corresponding to the RGB color detection data in the database; then take the grid point as the origin and the surrounding preset radius, The grid point corresponding to the target color is obtained by means of comparison; finally, the RGB color data corresponding to the target color is formed from the RGB color data corresponding to the grid point.
- a color fiber six-dimensional color mixing space grid model and its grid point array color matrix construction method and application according to the present invention compared with the prior art by using the above technical solution, have the following technical effects:
- the quality of the primary color fibers involved in the mixing is used as the coordinate axis data, and the mixed yarn object of the six primary color fibers is obtained from each grid point in the six-dimensional coordinate system space, and the mixing ratio of each primary color fiber is combined.
- the RGB color of the fiber realizes the RGB color modeling of the mixed yarn object, that is, a six-dimensional color mixing grid color mixing space grid point array model, and thus further realizes the construction of line array model, area array model, and volume array model.
- digital quantization is realized for the RGB color mixing space under the mixing of six primary color fibers, and each group of models can be called arbitrarily in practical applications to realize color visualization, which effectively improves the efficiency of color analysis and selection.
- FIG. 1 is a schematic flowchart of a six-dimensional color mixing space grid model of color fibers designed by the present invention and a method for constructing a grid point array color matrix.
- the invention designs a color fiber six-dimensional color mixing space grid model and a grid point array color matrix construction method.
- the quality of each primary color fiber corresponds to
- Each coordinate axis in the six-dimensional coordinate system realizes the construction of a six-dimensional color mixing grid color mixing space grid point array model, including the following steps A to G.
- Step A Determine the maximum mass of each primary color fiber according to the preset maximum mass ⁇ ⁇ , ⁇ ⁇ , ⁇ ⁇ , ⁇ ⁇ , ⁇ ⁇ , ⁇ ⁇ , ⁇ ⁇ corresponding to the six primary color fibers ⁇ , ⁇ , ⁇ , ⁇ , ⁇ respectively Respectively corresponding to the position of its set coordinate axis, and then go to step B.
- step C For the line segment between the origin and the coordinate axis position corresponding to the maximum mass of the primary color fiber ⁇ in the six-dimensional coordinate system, perform t equal division, that is, obtain t+1 points including the vertices at both ends of the line segment, and the the mass of each point on the line segment Indicates the line segment from the origin in the six-dimensional coordinate system to the position direction of the coordinate axis corresponding to the maximum mass of the primary color fiber ⁇ , and the serial number of each point; then go to step C.
- Step C Construct the mixing ratios ⁇ ⁇ (i, j, k, ⁇ , ⁇ ) and ⁇ ⁇ (i, j, k, ⁇ , ⁇ ) corresponding to the six primary color fibers ⁇ , ⁇ , ⁇ , ⁇ , and ⁇ respectively , ⁇ ⁇ (i, j, k, ⁇ , ⁇ ), ⁇ ⁇ (i, j, k, ⁇ , ⁇ ), ⁇ ⁇ (i, j, k, ⁇ , ⁇ ), ⁇ ⁇ (i, j, k, ⁇ , ⁇ ), ⁇ ⁇ (i, j, k, ⁇ , ⁇ ) are as follows, and then enter step D;
- Step D Construct the quality model of any point in the cube space corresponding to the six-dimensional color mixing grid color mixing space based on the preset maximum quality of the six primary color fibers ⁇ , ⁇ , ⁇ , ⁇ , ⁇ as follows, and then proceed to step E;
- Step E Constructing the six-dimensional color mixing grid color mixing space corresponding to the preset maximum quality of the six primary color fibers ⁇ , ⁇ , ⁇ , ⁇ , ⁇ , ⁇
- the quality matrix of any point in the cube space is as follows, and then enter step F;
- Step F Constructing the color value model of any point in the cube space based on the preset maximum quality of the six primary color fibers ⁇ , ⁇ , ⁇ , ⁇ , ⁇ , ⁇ corresponding to the color mixing space of the six-dimensional color mixing grid is as follows:
- R ⁇ , G ⁇ , B ⁇ represent the RGB colors corresponding to the primary color fiber ⁇
- R ⁇ , G ⁇ , B ⁇ represent the RGB colors corresponding to the primary color fiber ⁇
- R ⁇ , G ⁇ , B ⁇ represents the RGB color corresponding to the primary color fiber ⁇
- R ⁇ , G ⁇ , B ⁇ represent the RGB color corresponding to the primary color fiber ⁇
- R ⁇ , G ⁇ , B ⁇ represent the RGB color corresponding to the primary color fiber ⁇
- R ⁇ , G ⁇ , B ⁇ represent the RGB color corresponding to the primary color fiber ⁇
- Step G Constructing the color value matrix of any point in the cube space based on the preset maximum quality of the six primary color fibers ⁇ , ⁇ , ⁇ , ⁇ , ⁇ , ⁇ corresponding to the color mixing space of the six-dimensional color mixing grid is as follows:
- the color value model for a point is as follows:
- M 1,1 [ ⁇ i,j,k, ⁇ , ⁇ , ⁇ ].
- the base color fiber ⁇ corresponds to the X axis in the six-dimensional coordinate system
- the base color fiber ⁇ corresponds to the Y axis in the six-dimensional coordinate system
- the base color fiber ⁇ corresponds to the Z axis in the six-dimensional coordinate system
- the base color fiber ⁇ corresponds to the six-dimensional coordinate system.
- the U axis of the primary color fiber ⁇ corresponds to the V axis in the six-dimensional coordinate system
- the primary color fiber ⁇ corresponds to the W axis in the six-dimensional coordinate system.
- i, j is a constant, and k, ⁇ , ⁇ are respectively equal to 1, ..., n+1, construct (n+1) 3 -dimensional color arrays for ⁇ i,j,k, ⁇ , ⁇ , ⁇ ;
- i, k is a constant, and j, ⁇ , ⁇ are respectively equal to 1, ..., n+1, construct (n+1) 3 -dimensional color arrays for ⁇ i,j,k, ⁇ , ⁇ , ⁇ ;
- ⁇ is a constant, and j, k, ⁇ are equal to 1, ..., n+1 respectively, construct (n+1) 3 -dimensional color arrays for ⁇ i, j, k, ⁇ , ⁇ , ⁇ ;
- ⁇ is a constant, and j, k, ⁇ are equal to 1, ..., n+1, respectively, construct (n+1) 3 -dimensional color arrays for ⁇ i, j, k, ⁇ , ⁇ , ⁇ ;
- ⁇ is a constant, and i, k, ⁇ are respectively equal to 1,...,n+1, construct (n+1) 3 three-dimensional color arrays for ⁇ i,j,k, ⁇ , ⁇ , ⁇ ;
- ⁇ is a constant, and i, k, ⁇ are equal to 1, ..., n+1, respectively, construct (n+1) 3 three-dimensional color arrays for ⁇ i, j, k, ⁇ , ⁇ , ⁇ ;
- ⁇ is a constant, and i, j, ⁇ are respectively equal to 1,..., n+1, construct (n+1) 3 -dimensional color arrays for ⁇ i, j, k, ⁇ , ⁇ , ⁇ ;
- ⁇ is a constant, and i, j, ⁇ are equal to 1, ..., n+1, respectively, construct (n+1) 3 three-dimensional color arrays for ⁇ i, j, k, ⁇ , ⁇ , ⁇ ;
- ⁇ is a constant, and i, j , k are equal to 1 , .
- i is a constant
- j, k, ⁇ , ⁇ are respectively equal to 1, ..., n+1, construct (n+1) 2 four-dimensional color arrays for ⁇ i, j, k, ⁇ , ⁇ , ⁇ ;
- ⁇ are constants, and i, k, ⁇ , Equal to 1, ..., n+1 respectively, construct (n+1) 2 four-dimensional color arrays for ⁇ i, j, k, ⁇ , ⁇ , ⁇ ;
- j is a constant, and i, k, ⁇ , ⁇ are respectively equal to 1, ..., n+1, construct (n+1) 2 four-dimensional color arrays for ⁇ i, j, k, ⁇ , ⁇ , ⁇ ;
- ⁇ are constants, and i, j, ⁇ , Equal to 1, ..., n+1 respectively, construct (n+1) 2 four-dimensional color arrays for ⁇ i, j, k, ⁇ , ⁇ , ⁇ ;
- i, j, ⁇ , ⁇ are respectively equal to 1, ..., n+1, construct (n+1) 2 four-dimensional color arrays for ⁇ i, j, k, ⁇ , ⁇ , ⁇ ;
- ⁇ is a constant, and i, j, k, ⁇ are respectively equal to 1, ..., n+1, construct (n+1) 2 four-dimensional color arrays for ⁇ i, j, k, ⁇ , ⁇ , ⁇ ;
- i, j, k, ⁇ , ⁇ are constants, and i, j, k, ⁇ , ⁇ are equal to 1, .
- the present invention designs an application of a six-dimensional color mixing space grid model for color fibers and a method for constructing a color matrix of a grid point array.
- ⁇ , ⁇ , ⁇ , ⁇ , ⁇ , ⁇ preset the color value of any point in the cube space with the maximum quality, stored in the database, and used to analyze the target color in the following way;
- a color detector to detect the RGB color detection data corresponding to the target color, and find the grid point corresponding to the RGB color detection data in the database; then take the grid point as the origin and the surrounding preset radius, The grid point corresponding to the target color is obtained by means of comparison; finally, the RGB color data corresponding to the target color is formed from the RGB color data corresponding to the grid point.
- the color comparison table of the color fiber six-dimensional grid color mixing matrix is shown in Table 1 below.
- the color comparison table of the color fiber six-dimensional grid color mixing matrix is shown in Table 2 below.
- the color comparison table of the color fiber six-dimensional grid color mixing matrix is shown in Table 3 below.
- the color comparison table of the color fiber six-dimensional grid color mixing matrix is shown in Table 4 below.
- the color comparison table of the color fiber six-dimensional grid color mixing matrix is shown in Table 5 below.
- the color comparison table of the color fiber six-dimensional grid color mixing matrix is shown in Table 6 below.
Landscapes
- Engineering & Computer Science (AREA)
- Physics & Mathematics (AREA)
- Theoretical Computer Science (AREA)
- General Physics & Mathematics (AREA)
- Geometry (AREA)
- Evolutionary Computation (AREA)
- Computer Hardware Design (AREA)
- General Engineering & Computer Science (AREA)
- Pure & Applied Mathematics (AREA)
- Mathematical Optimization (AREA)
- Mathematical Analysis (AREA)
- Computational Mathematics (AREA)
- Facsimile Image Signal Circuits (AREA)
- Coloring (AREA)
- Spectrometry And Color Measurement (AREA)
Abstract
一种彩色纤维六维混色空间网格模型及其网格点阵列颜色矩阵构建方法及应用,针对指定六基色纤维,引入坐标数字量化过程,将六基色纤维分别对应于六维坐标系的各坐标轴,以基色纤维参与混合的质量作为坐标轴数据,由六维坐标系空间的各个网格点获得六基色纤维的混合纱线对象,由此结合各基色纤维的混合比,以及各基色纤维的RGB颜色,实现对混合纱线对象的RGB颜色建模,即构成六维混色网格混色空间网格点阵列模型,并由此进一步实现线阵列模型、面阵列模型、体阵列模型的构建,针对六基色纤维混合下的RGB混色空间实现了数字量化,能够在实际应用中任意调用各组模型实现颜色的可视化,有效提高了颜色分析、选择的效率。
Description
本发明涉及一种彩色纤维六维混色空间网格模型及其网格点阵列颜色矩阵构建方法及应用,属于混色空间网格构建技术领域。
通过对纺织纤维材料的染色、原液着色、生物转基因、结构生色等技术手段可获取具有不同色彩效应的彩色纤维,将六种不同色彩的纤维按照某种比例进行混色纺纱可得到具有某种色彩的色纺纱,理论上混纺纤维的基色、混和比例、混和方式、成型纱线的结构等因素对色纺纱色相、明度及饱和度都有较大影响,但在实际生产过程中,通常以某种混色方式和成纱结构为基础,重点考虑彩色纤维基色的选择及其混色比例的选择。利用多元基色的染色纤维或者原液着色纤维混色纺制色纺纱,并通过变动基色纤维的比例调控色纺纱的色相、明度及饱和度,是设计并实现色纺纱的必要手段。
生产色纺纱需要完成色纺纱的色彩设计、规格设计、纺纱工艺设计。在进行色纺纱色彩设计时,通常有以下六种工作流程:(1)基于现有色系进行纱线色彩创新,开发彩色纱线。此时需要将在库的若干彩色纤维进行不同组合并选用不同比例进行混色纺纱,从试纺的系列化彩色纱线中选择几个配色方案作为新品进行市场推广;(2)基于流行色或设计师个人喜好选定色系进行纱线色彩创新,开发彩色纱线。此时由设计师根据自己对色彩的理解和想象选择几组基础色系进行纤维染色,将设计师选定的几组彩纤维进行不同组合并选用不同比例进行混色纺纱,从试纺的系列化彩色纱线中选择几个配色方案作为新品进行市场推广;(3)基于来样进行色彩复制,开发彩色纱线。在分析来样的基础上,确定采用哪几种彩色纤维按照何种比例进行混色纺纱?将试纺色纺纱样交客户确认,经若干回合后确定色纺纱配色方案。
生产色纺纱或彩色纱的核心技术是优选彩色纱的配色方案,无论是基于现有色系进行纱线色彩创新,还是基于设计师个人喜好选定色系进行纱线色彩创新,或是基于来样进行色彩复制,都需要熟悉色彩色相、明度及饱和度的变化规律,敏感察觉色彩之间的微妙差异,掌握彩色纱线的配色技巧。
当前,配色方案的设计主要依靠设计师个人的经验和直觉进行,配色过程的完成主要依靠手工制样、手工染色、手工配色,配色结果的评价主要依靠在现场对实物样的观察,依托主观感受进行评价。彩色纤维的混色过程是色料混色过程,属于色彩的空间并置混色。
现有色彩体系中的颜色可通过混色空间中的R、G、B值进行标定,因此任一颜色都可用混色空间的某个向量表示。如果将颜色a(R
a、G
a、B
a)、b(R
b、G
b、B
b)、b(R
b、G
b、B
b)、d(R
d、G
d、B
d)混色可得到混色样的颜色值m(R
m、G
m、B
m),则混色样的颜色值R
m=R
a+R
b+R
c+R
d、G
m=G
a+G
b+G
c+G
d、 B
m=B
a+B
b+B
c+B
d,相当于混色空间中求向量之和的运算。既然色彩及色彩的混色均可数字化表达,所以也可对彩色纤维的混色过程进行数字化表达。基于上述分析,我们认为传统配色方法主要存在以下问题:
1、彩色纤维的混色过程是色料混色过程,传统配色方法未建立数字化的物理模型对彩色纤维的混色过程进行表达,需要构建物理模型并对彩色纤维的混色过程进行数字化表达;
2、彩色纤维的混配色过程,就是选择几种彩色纤维作为基础颜色,通过变化混纺比得到系列化的色谱。传统配色方法通过手工打样制作混色样品,未建立基于基色颜色值以及混色比例变化求取混色体颜色值的数字化方法,需要构建彩色纤维离散混色模型及其混色色谱的可视化算法,实现彩色纱线的数字化虚拟配色;
3、通过彩色纤维的配色过程可以得到系列化色谱。传统配色方法采用手工打样获取,获取配色色谱效率低、耗时长、不便于远程传输。需要构建红、绿、蓝、青、蓝、品红、黑、白等八基色纤维组合混配的标准混色色谱,为彩色纱线的配色提供参考依据;
发明内容
本发明所要解决的技术问题是提供一种彩色纤维六维混色空间网格模型及其网格点阵列颜色矩阵构建方法,针对指定六基色纤维,引入坐标数字量化过程,实现六基色RGB混色空间颜色的可视化。
本发明为了解决上述技术问题采用以下技术方案:本发明设计了一种彩色纤维六维混色空间网格模型及其网格点阵列颜色矩阵构建方法,针对指定六基色纤维α、β、γ、δ、ε、θ,以各基色纤维质量分别对应六维坐标系中的各根坐标轴,实现六维混色网格混色空间网格点阵列模型的构建,包括如下步骤:
步骤A.根据六基色纤维α、β、γ、δ、ε、θ分别所对应的预设最大质量ω
α、ω
β、ω
γ、ω
δ、ω
ε、ω
θ,确定各基色纤维最大质量分别所对应其所设坐标轴的位置,然后进入步骤B;
步骤B.针对六维坐标系中原点与基色纤维α最大质量所对应其所设坐标轴位置之间的线段,执行m等分,即获得包含该线段两端顶点在内的m+1个点,且该线段上各点的质量
i=1、…、m+1,i表示该线段上由六维坐标系中原点至基色纤维α最大质量所对应其所设坐标轴位置方向、各点的序号;
针对六维坐标系中原点与基色纤维β最大质量所对应其所设坐标轴位置之间的线段,执行n等分,即获得包含该线段两端顶点在内的n+1个点,且该线段上各点的质量
j=1、…、n+1,j表 示该线段上由六维坐标系中原点至基色纤维β最大质量所对应其所设坐标轴位置方向、各点的序号;
针对六维坐标系中原点与基色纤维γ最大质量所对应其所设坐标轴位置之间的线段,执行p等分,即获得包含该线段两端顶点在内的p+1个点,且该线段上各点的质量
k=1、…、p+1,k表示该线段上由六维坐标系中原点至基色纤维γ最大质量所对应其所设坐标轴位置方向、各点的序号;
针对六维坐标系中原点与基色纤维δ最大质量所对应其所设坐标轴位置之间的线段,执行q等分,即获得包含该线段两端顶点在内的q+1个点,且该线段上各点的质量
τ=1、…、q+1,τ表示该线段上由六维坐标系中原点至基色纤维δ最大质量所对应其所设坐标轴位置方向、各点的序号;
针对六维坐标系中原点与基色纤维ε最大质量所对应其所设坐标轴位置之间的线段,执行s等分,即获得包含该线段两端顶点在内的s+1个点,且该线段上各点的质量
μ=1、…、s+1,μ表示该线段上由六维坐标系中原点至基色纤维ε最大质量所对应其所设坐标轴位置方向、各点的序号;
针对六维坐标系中原点与基色纤维θ最大质量所对应其所设坐标轴位置之间的线段,执行t等分,即获得包含该线段两端顶点在内的t+1个点,且该线段上各点的质量
表示该线段上由六维坐标系中原点至基色纤维θ最大质量所对应其所设坐标轴位置方向、各点的序号;然后进入步骤C;
步骤C.构建六基色纤维α、β、γ、δ、ε、θ分别所对应混合比λ
α(i,j,k,τ,μ)、λ
β(i,j,k,τ,μ)、λ
γ(i,j,k,τ,μ)、λ
δ(i,j,k,τ,μ)、λ
ε(i,j,k,τ,μ)、λ
θ(i,j,k,τ,μ)如下,然后进入步骤D;
步骤D.构建六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的质量模型如下,然后进入步骤E;
步骤E.构建六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的质量矩阵如下,然后进入步骤F;
步骤F.构建六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的颜色值模型如下:
然后进入步骤G,其中,R
α、G
α、B
α表示基色纤维α所对应的RGB色,R
β、G
β、B
β表示基色纤维β所对应的RGB色,R
γ、G
γ、B
γ表示基色纤维γ所对应的RGB色,R
δ、G
δ、B
δ表示基色纤维δ所对应的RGB色,R
ε、G
ε、B
ε表示基色纤维ε所对应的RGB色;R
θ、G
θ、B
θ表示基色纤维θ所对应的RGB色,;ξ
i,j,k,τ,μ,θ表示六维坐标系中坐标(i,j,k,τ,μ,θ)位置所对应六基色纤维α、β、γ、δ、ε、θ混合纱线的颜色值,R
ξ(i,j,k,τ,μ,θ)、G
ξ(i,j,k,τ,μ,θ)、B
ξ(i,j,k,τ,μ,θ)表示六维坐标系中坐标(i,j,k,τ,μ,θ)位置所对应六基色纤维α、β、γ、δ、ε、θ混合纱线的RGB色;
步骤G.构建六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的颜色值矩阵如下:
作为本发明的一种优选技术方案:基于所述六基色纤维α、β、γ、δ、ε、θ的最大质量与等分数就彼此相等,即ω
α=ω
β=ω
γ=ω
δ=ω
ε=ω
θ,m=n=p=q=s=t,则步骤A至步骤G所获六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的颜色值模型如下:
作为本发明的一种优选技术方案:基于步骤A至步骤G所获六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的颜色值模型,以及所述六基色纤维α、β、γ、δ、ε、θ的最大质量与等分数就彼此相等,即ω
α=ω
β=ω
γ=ω
δ=ω
ε=ω
θ,m=n=p=q=s=t,按i=1、2、3、...、n+1,j=1、2、3、...、n+1,k=1、2、3、...、n+1,τ=1、2、3、...、n+1,μ=1、2、3、...、n+1,
构建零维矩阵如下:
M
1,1=[ξ
i,j,k,τ,μ,θ]。
作为本发明的一种优选技术方案:基于步骤A至步骤G所获六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的颜色值模型,以及所述六基色纤维α、β、γ、δ、ε、θ的最大质量与等分数就彼此相等,即ω
α=ω
β=ω
γ=ω
δ=ω
ε=ω
θ,m=n=p=q=s=t,基色纤维α对应六维坐标系中的X轴、基色纤维β对应六维坐标系中的Y轴、基色纤维γ对应六维坐标系 中的Z轴,基色纤维δ对应六维坐标系中的U轴,基色纤维ε对应六维坐标系中的V轴,基色纤维θ对应六维坐标系中的W轴;
其中,基于i、j、k、τ、μ为常数,构建与W轴平行的(n+1)
5个1行(n+1)列一维颜色线阵列如下:
作为本发明的一种优选技术方案:基于步骤A至步骤G所获六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的颜色值模型,以及所述六基色纤维α、β、γ、δ、ε、θ的最大质量与等分数就彼此相等,即ω
α=ω
β=ω
γ=ω
δ=ω
ε=ω
θ,m=n=p=q=s=t;
其中,基于i、j、k、τ为常数,构建(n+1)
4个(n+1)行(n+1)列二维颜色阵列如下:
基于i、j、k、μ为常数,构建(n+1)
4个(n+1)行(n+1)列二维颜色阵列如下:
基于i、j、τ、μ为常数,构建(n+1)
4个(n+1)行(n+1)列二维颜色阵列如下:
基于i、k、τ、μ为常数,构建(n+1)
4个(n+1)行(n+1)列二维颜色阵列如下:
基于j、k、τ、μ为常数,构建(n+1)
4个(n+1)行(n+1)列二维颜色阵列如下:
作为本发明的一种优选技术方案:基于步骤A至步骤G所获六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的颜色值模型,以及所述六基色纤维α、β、γ、δ、ε、θ的最大质量与等分数就彼此相等,即ω
α=ω
β=ω
γ=ω
δ=ω
ε=ω
θ,m=n=p=q=s=t;
作为本发明的一种优选技术方案:基于步骤A至步骤G所获六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的颜色值模型,以及所述六基色纤维α、β、γ、δ、ε、θ的最大质量与等分数就彼此相等,即ω
α=ω
β=ω
γ=ω
δ=ω
ε=ω
θ,m=n=p=q=s=t;
作为本发明的一种优选技术方案:基于步骤A至步骤G所获六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的颜色值模型,以及所述六基色纤维α、β、γ、δ、ε、θ的最大质量与等分数就彼此相等,即ω
α=ω
β=ω
γ=ω
δ=ω
ε=ω
θ,m=n=p=q=s=t;
作为本发明的一种优选技术方案:基于步骤A至步骤G所获六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的颜色值模型,以及所述六基色纤维α、β、γ、δ、ε、θ的最大质量与等分数就彼此相等,即ω
α=ω
β=ω
γ=ω
δ=ω
ε=ω
θ,m=n=p=q=s=t;基于i、j、k、τ、μ、
分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建1个六维颜色阵列。
与上述相对应,本发明设计了一种针对彩色纤维六维混色空间网格模型及其网格点阵列颜色矩阵构建方法的应用,将所述六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的颜色值,存储于数据库中,按如下方式,用于实现对目标颜色的分析;
首选采用检色仪检测获得目标颜色所对应的RGB颜色检测数据,并在数据库中查找该RGB颜色检测数据所对应的网格点;然后在以该网格点为原点、周围预设半径范围,通过比对的方式,获得目标颜色所对应的网格点;最后由该网格点所对应的RGB颜色数据,构成目标颜色所对应的RGB颜色数据。
本发明所述一种彩色纤维六维混色空间网格模型及其网格点阵列颜色矩阵构建方法及应用,采用以上技术方案与现有技术相比,具有以下技术效果:
本发明所设计彩色纤维六维混色空间网格模型及其网格点阵列颜色矩阵构建方法及应用,针对指定六基色纤维,引入坐标数字量化过程,将六基色纤维分别对应于六维坐标系的各坐标轴,以基色纤维参与混合的质量作为坐标轴数据,由六维坐标系空间的各个网格点获得六基色纤维的混合纱线对象,由此结合各基色纤维的混合比,以及各基色纤维的RGB颜色,实现对混合纱线对象的RGB颜色建模,即构成六维混色网格混色空间网格点阵列模型,并由此进一步实现线阵列模型、面阵列模型、体阵列模型的构建,针对六基色纤维混合下的RGB混色空间实现了数字量化,能够在实际应用中任意调用各组模型实现颜色的可视化,有效提高了颜色分析、选择的效率。
图1是本发明所设计彩色纤维六维混色空间网格模型及其网格点阵列颜色矩阵构建方法流程示意图。
下面结合说明书附图对本发明的具体实施方式作进一步详细的说明。
本发明设计了一种彩色纤维六维混色空间网格模型及其网格点阵列颜色矩阵构建方法,针对指定六基色纤维α、β、γ、δ、ε、θ,以各基色纤维质量分别对应六维坐标系中的各根坐标轴,实现六维混色网格混色空间网格点阵列模型的构建,包括如下步骤A至步骤G。
步骤A.根据六基色纤维α、β、γ、δ、ε、θ分别所对应的预设最大质量ω
α、ω
β、ω
γ、ω
δ、ω
ε、ω
θ,确定各基色纤维最大质量分别所对应其所设坐标轴的位置,然后进入步骤B。
步骤B.针对六维坐标系中原点与基色纤维α最大质量所对应其所设坐标轴位置之间的线段,执行m等分,即获得包含该线段两端顶点在内的m+1个点,且该线段上各点的质量
i=1、…、m+1,i表示该线段上由六维坐标系中原点至基色纤维α最大质量所对应其所设坐标轴位置方向、各点的序号。
针对六维坐标系中原点与基色纤维β最大质量所对应其所设坐标轴位置之间的线段,执行n等分,即获得包含该线段两端顶点在内的n+1个点,且该线段上各点的质量
j=1、…、n+1,j表示该线段上由六维坐标系中原点至基色纤维β最大质量所对应其所设坐标轴位置方向、各点的序号。
针对六维坐标系中原点与基色纤维γ最大质量所对应其所设坐标轴位置之间的线段,执行p等分,即获得包含该线段两端顶点在内的p+1个点,且该线段上各点的质量
k=1、…、p+1,k表示该线段上由六维坐标系中原点至基色纤维γ最大质量所对应其所设坐标轴位置方向、各点的序号。
针对六维坐标系中原点与基色纤维δ最大质量所对应其所设坐标轴位置之间的线段,执行q等分,即获得包含该线段两端顶点在内的q+1个点,且该线段上各点的质量
τ=1、…、q+1,τ表示该线段上由六维坐标系中原点至基色纤维δ最大质量所对应其所设坐标轴位置方向、各点的序号。
针对六维坐标系中原点与基色纤维ε最大质量所对应其所设坐标轴位置之间的线段,执行s等分,即获得包含该线段两端顶点在内的s+1个点,且该线段上各点的质量
μ=1、…、s+1,μ表示该线段上由六维坐标系中原点至基色纤维ε最大质量所对应其所设坐标轴位置方向、各点的序号。
针对六维坐标系中原点与基色纤维θ最大质量所对应其所设坐标轴位置之间的线段,执行t等分,即获得包含该线段两端顶点在内的t+1个点,且该线段上各点的质量
表示该线段上由六维坐标系中原点至基色纤维θ最大质量所对应其所设坐标轴位置方向、各点的序号;然后进入步骤C。
步骤C.构建六基色纤维α、β、γ、δ、ε、θ分别所对应混合比λ
α(i,j,k,τ,μ)、λ
β(i,j,k,τ,μ)、λ
γ(i,j,k,τ,μ)、λ
δ(i,j,k,τ,μ)、λ
ε(i,j,k,τ,μ)、λ
θ(i,j,k,τ,μ)如下,然后进入步骤D;
步骤D.构建六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的质量模型如下,然后进入步骤E;
步骤E.构建六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的质量矩阵如下,然后进入步骤F;
步骤F.构建六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的颜色值模型如下:
然后进入步骤G,其中,R
α、G
α、B
α表示基色纤维α所对应的RGB色,R
β、G
β、B
β表示基色纤维β所对应的RGB色,R
γ、G
γ、B
γ表示基色纤维γ所对应的RGB色,R
δ、G
δ、B
δ表示基色纤维δ所对应的RGB色,R
ε、G
ε、B
ε表示基色纤维ε所对应的RGB色;R
θ、G
θ、B
θ表示基色纤维θ所对应的RGB色,;ξ
i,j,k,τ,μ,θ表示六维坐标系中坐标(i,j,k,τ,μ,θ)位置所对应六基色纤维α、β、γ、δ、ε、θ混合纱线的颜色值,R
ξ(i,j,k,τ,μ,θ)、G
ξ(i,j,k,τ,μ,θ)、B
ξ(i,j,k,τ,μ,θ)表示六维坐标系中坐标(i,j,k,τ,μ,θ)位置所对应六基色纤维α、β、γ、δ、ε、θ混合纱线的RGB色。
步骤G.构建六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的颜色值矩阵如下:
由此得到以α(R
α,G
α,B
α)、β(R
β,G
β,B
β)、γ(R
γ,G
γ,B
γ)、δ(R
δ,G
δ,B
δ)、ε(R
ε,G
ε,B
ε)、θ(R
θ,G
θ,B
θ)为基色的六维网格混色空间,该空间的色域范围可通过(m+1)*(n+1)*(p+1)*(q+1)*(s+1)*(t+1)个网格点的颜色值ξ
i,j,k,τ,μ,θ进行表达,由此得到彩色纤维六维混色的网格化色域空间。在笛卡尔坐标系下可按照以下7种模式进行展开:
1、当i=1;j=1,2,3,...,n+1;k=1,2,3,...,p+1;τ=1,2,3,...,q+1;μ=1,2,3,...,s+1;
时,则[ξ
1,j,k,τ,μ,θ]代表与X轴垂直的无数个面上(n+1)*(p+1)*(q+1)*(s+1)*(t+1)个网格点的颜色值;
2、当i=1,2,3,...,m+1;j=1;k=1,2,3,...,p+1;τ=1,2,3,...,q+1;μ=1,2,3,...,s+1;
时,则[ξ
i,1,k,τ,μ,θ]代表Y轴垂直的面上(m+1)*(p+1)*(q+1)*(s+1)*(t+1)个网格点的颜色值;
3、当i=1,2,3,...,m+1;j=1,2,3,...,n+1;k=1;τ=1,2,3,...,q+1;μ=1,2,3,...,s+1;
时,则[ξ
i,j,1,τ,μ,θ]代表Z轴垂直的面上(m+1)*(n+1)*(q+1)*(s+1)*(t+1)个网格点的颜色值;
4、当i=1,2,3,...,m+1;j=1,2,3,...,n+1;k=1,2,3,...,p+1;τ=1;μ=1,2,3,...,s+1;
时,则[ξ
i,j,k,1,μ,θ]代表U轴垂直的面上(m+1)*(n+1)*(p+1)*(s+1)*(t+1)个网格点的颜色值;
5、当i=1,2,3,...,m+1;j=1,2,3,...,n+1;k=1,2,3,...,p+1;τ=1,2,3,...,q+1;μ=1;
时,则[ξ
i,j,k,τ,1,θ]代表V轴垂直的面上(m+1)*(n+1)*(p+1)*(q+1)*(t+1)个网格点的颜色值;
6、当i=1,2,3,...,m+1;j=1,2,3,...,n+1;k=1,2,3,...,p+1;τ=1,2,3,...,q+1;μ=1,2,3,...,s+1;
时,则[ξ
i,j,k,τ,μ,1]代表V轴垂直的面上(m+1)*(n+1)*(p+1)*(q+1)个网格点的颜色值;
7、当i=1,2,3,...,m+1;j=1,2,3,...,n+1;k=1,2,3,...,p+1;τ=1,2,3,...,q+1;μ=1,2,3,...,s+1;
时,可得到[ξ
i,j,k,τ,μ,θ]的(m+1)*(n+1)*(p+1)*(q+1)*(s+1)*(t+1)个网格点的颜色值。
实际应用当中,基于步骤A至步骤G所获六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的颜色值模型,以及所述六基色纤维α、β、γ、δ、ε、θ的最大质量与等分数就彼此相等,即ω
α=ω
β=ω
γ=ω
δ=ω
ε=ω
θ,m=n=p=q=s=t,则步骤A至步骤G所获六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的颜色值模型如下:
M
1,1=[ξ
i,j,k,τ,μ,θ]。
并且基于基色纤维α对应六维坐标系中的X轴、基色纤维β对应六维坐标系中的Y轴、基色纤维γ对应六维坐标系中的Z轴,基色纤维δ对应六维坐标系中的U轴,基色纤维ε对应六维坐标系中的V轴,基色纤维θ对应六维坐标系中的W轴。
其中,基于i、j、k、τ、μ为常数,构建与W轴平行的(n+1)
5个1行(n+1)列一维颜色线阵列如下:
其中:
实际应用当中,对于一维阵列进行展开,主要如下:
①当i=1、j=1、k=1、τ=1、μ=1时,所组成的1行(n+1)列一维公式进行展开,展开后的矩阵如下:
…
②当i=i、j=j、k=k、τ=τ、μ=μ时,所组成的1行(n+1)列一维公式进行展开,展开后的矩阵如下:
其中:
…
其中:
其余十四种情况可根据上述方法和思路,进行推导得出。
相应基于i、j、k、τ为常数,构建(n+1)
4个(n+1)行(n+1)列二维颜色阵列如下:
其中:
基于i、j、k、μ为常数,构建(n+1)
4个(n+1)行(n+1)列二维颜色阵列如下:
基于i、j、τ、μ为常数,构建(n+1)
4个(n+1)行(n+1)列二维颜色阵列如下:
基于i、k、τ、μ为常数,构建(n+1)
4个(n+1)行(n+1)列二维颜色阵列如下:
基于j、k、τ、μ为常数,构建(n+1)
4个(n+1)行(n+1)列二维颜色阵列如下:
实际应用当中,对于二维阵列进行展开,主要如下:
①当i=1、j=1、k=1、τ=1时,所组成的(n+1)行(n+1)列二维阵列进行展开,展开后的矩阵如下:
其中:
…
②当i=i、j=j、k=k、τ=τ时,所组成的(n+1)行(n+1)列二维阵列公式进行展开,展开后的矩阵如下:
其中:
…
③当i=n+1、j=n+1、k=n+1、τ=n+1时,所组成的(n+1)行(n+1)列二维阵列公式进行展开,展开后的矩阵如下:
其中:
其余十四种情况可根据上述方法和思路,进行推导得出。
实际应用当中,对于三维阵列进行展开,主要如下:
①当i=1、j=1、k=1时,所组成的三维阵列进行展开,展开后的矩阵如下:
其中:
…
②当i=i、j=j、k=k时,所组成的三维阵列进行展开,展开后的矩阵如下:
其中:
③当i=n+1、j=n+1、k=n+1时,所组成的三维阵列进行展开,展开后的矩阵如下:
其中:
其余十九种情况可根据上述方法和思路,进行推导得出。
实际应用当中,对于四维阵列进行展开,主要如下:
①当i=1、j=1时,所组成的四维阵列,如下:
其中:
…
②当i=i、j=j时,所组成的四维阵列,如下:
其中:
…
③当i=n+1、j=n+1时,所组成的四维阵列进行展开,如下:
其中:
其余九种情况可根据上述方法和思路,进行推导得出。
其中:
实际应用当中,对于五维阵列进行展开,主要如下:
①当i=1时,所组成的四维阵列,如下:
其中:
…
②当i=i时,所组成的四维阵列,如下:
其中:
…
③当i=n+1时,所组成的四维阵列进行展开,如下:
其中:
其余五种情况可根据上述方法和思路,进行推导得出。
与上述相对应,本发明设计了一种针对彩色纤维六维混色空间网格模型及其网格点阵列颜色矩阵构建方法的应用,将所述六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的颜色值,存储于数据库中,按如下方式,用于实现对目标颜色的分析;
首选采用检色仪检测获得目标颜色所对应的RGB颜色检测数据,并在数据库中查找该RGB颜色检测数据所对应的网格点;然后在以该网格点为原点、周围预设半径范围,通过比对的方式,获得目标颜色所对应的网格点;最后由该网格点所对应的RGB颜色数据,构成目标颜色所对应的RGB颜色数据。
基于上述所设计彩色纤维六维混色空间网格模型及其网格点阵列颜色矩阵构建方法,在具体的实际应用当中,假设六元彩纤α、β、γ、δ、ε、θ的重量分别为ω
α=10、ω
β=10、ω
γ=10、ω
δ=10、ω
ε=10、ω
θ=10,颜色值为α(255,0,0)、β(0,255,0)、γ(0,0,255)、δ(0,255,255)、ε(255,0,255)、θ(255,255,0),分别将彩纤α的重量分成10等分,彩纤β的重量分成10等分,彩纤γ的重量分成4等分,彩纤δ的重量分成4等分,彩纤ε的重量分成4等分,彩纤θ的重量分成4等分,并按等差数列进行配重,得到混合体ω
ξ。将混合体ω
ξ沿 着点α、点β所在的面展开,可得625个11*11的面矩阵,在这里只例举前三个和最后三个,其他619个面矩阵可按照上述讨论出的面阵列矩阵计算得出,其对应的RGB值见颜色对照表。
如下表1所示彩色纤维六维网格混色矩阵的颜色对照表。
表1
| [ξ i,j,1,1,1,1] | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 |
| 1 | 255,0,0 | 232,23,0 | 213,43,0 | 196,59,0 | 182,73,0 | 170,85,0 | 159,96,0 | 150,105,0 | 142,113,0 | 134,121,0 | 128,128,0 |
| 2 | 255,0,0 | 230,26,0 | 209,46,0 | 191,64,0 | 177,78,0 | 164,91,0 | 153,102,0 | 143,112,0 | 135,120,0 | 128,128,0 | 121,134,0 |
| 3 | 255,0,0 | 227,28,0 | 204,51,0 | 185,70,0 | 170,85,0 | 157,98,0 | 146,109,0 | 136,119,0 | 128,128,0 | 120,135,0 | 113,142,0 |
| 4 | 255,0,0 | 223,32,0 | 198,57,0 | 179,77,0 | 162,93,0 | 149,106,0 | 137,118,0 | 128,128,0 | 119,136,0 | 112,143,0 | 105,150,0 |
| 5 | 255,0,0 | 219,36,0 | 191,64,0 | 170,85,0 | 153,102,0 | 139,116,0 | 128,128,0 | 118,137,0 | 109,146,0 | 102,153,0 | 96,159,0 |
| 6 | 255,0,0 | 213,43,0 | 182,73,0 | 159,96,0 | 142,113,0 | 128,128,0 | 116,139,0 | 106,149,0 | 98,157,0 | 91,164,0 | 85,170,0 |
| 7 | 255,0,0 | 204,51,0 | 170,85,0 | 146,109,0 | 128,128,0 | 113,142,0 | 102,153,0 | 93,162,0 | 85,170,0 | 78,177,0 | 73,182,0 |
| 8 | 255,0,0 | 191,64,0 | 153,102,0 | 128,128,0 | 109,146,0 | 96,159,0 | 85,170,0 | 77,179,0 | 70,185,0 | 64,191,0 | 59,196,0 |
| 9 | 255,0,0 | 170,85,0 | 128,128,0 | 102,153,0 | 85,170,0 | 73,182,0 | 64,191,0 | 57,198,0 | 51,204,0 | 46,209,0 | 43,213,0 |
| 10 | 255,0,0 | 128,128,0 | 85,170,0 | 64,191,0 | 51,204,0 | 43,213,0 | 36,219,0 | 32,223,0 | 28,227,0 | 26,230,0 | 23,232,0 |
| 11 | 255,255,255 | 0,255,0 | 0,255,0 | 0,255,0 | 0,255,0 | 0,255,0 | 0,255,0 | 0,255,0 | 0,255,0 | 0,255,0 | 0,255,0 |
如下表2所示彩色纤维六维网格混色矩阵的颜色对照表。
表2
| [ξ i,j,1,1,1,2] | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 |
| 1 | 255,0,51 | 236,19,47 | 220,35,44 | 206,49,41 | 193,62,39 | 182,73,36 | 172,83,34 | 163,92,33 | 155,100,31 | 148,107,30 | 142,113,28 |
| 2 | 255,0,55 | 235,20,51 | 217,38,47 | 202,53,44 | 189,66,41 | 178,77,39 | 168,87,36 | 159,96,34 | 150,105,33 | 143,112,31 | 136,119,30 |
| 3 | 255,0,61 | 233,22,55 | 214,41,51 | 198,57,47 | 185,70,44 | 173,82,41 | 162,93,39 | 153,102,36 | 145,110,34 | 137,118,33 | 131,124,31 |
| 4 | 255,0,67 | 231,24,61 | 211,44,55 | 194,61,51 | 179,76,47 | 167,88,44 | 156,99,41 | 147,108,39 | 138,117,36 | 131,124,34 | 124,131,33 |
| 5 | 255,0,75 | 228,27,67 | 206,49,61 | 188,67,55 | 173,82,51 | 161,94,47 | 149,106,44 | 140,115,41 | 131,124,39 | 124,131,36 | 117,138,34 |
| 6 | 255,0,85 | 225,30,75 | 201,54,67 | 182,73,61 | 166,89,55 | 153,102,51 | 142,113,47 | 132,123,44 | 123,132,41 | 116,139,39 | 109,146,36 |
| 7 | 255,0,98 | 221,34,85 | 195,60,75 | 174,81,67 | 158,97,61 | 144,111,55 | 133,122,51 | 123,132,47 | 114,141,44 | 107,148,41 | 100,155,39 |
| 8 | 255,0,116 | 216,39,98 | 187,68,85 | 165,90,75 | 148,107,67 | 134,121,61 | 122,133,55 | 112,143,51 | 104,151,47 | 97,158,44 | 90,165,41 |
| 9 | 255,0,142 | 209,46,116 | 177,78,98 | 153,102,85 | 135,120,75 | 121,134,67 | 109,146,61 | 100,155,55 | 92,163,51 | 85,170,47 | 79,176,44 |
| 10 | 255,0,182 | 198,57,142 | 162,93,116 | 137,118,98 | 119,136,85 | 105,150,75 | 94,161,67 | 85,170,61 | 78,177,55 | 71,184,51 | 66,189,47 |
| 11 | 255,0,255 | 182,73,182 | 142,113,142 | 116,139,116 | 98,157,98 | 85,170,85 | 75,180,75 | 67,188,67 | 61,194,61 | 55,200,55 | 51,204,51 |
如下表3所示彩色纤维六维网格混色矩阵的颜色对照表。
表3
| [ξ i,j,1,1,1,3] | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 |
| 1 | 255,0,85 | 239,16,80 | 225,30,75 | 213,43,71 | 201,54,67 | 191,64,64 | 182,73,61 | 174,81,58 | 166,89,55 | 159,96,53 | 153,102,51 |
| 2 | 255,0,91 | 238,17,85 | 223,32,80 | 210,45,75 | 198,57,71 | 188,67,67 | 179,77,64 | 170,85,61 | 162,93,58 | 155,100,55 | 149,106,53 |
| 3 | 255,0,98 | 237,18,91 | 221,34,85 | 207,48,80 | 195,60,75 | 184,71,71 | 174,81,67 | 166,89,64 | 158,97,61 | 151,104,58 | 144,111,55 |
| 4 | 255,0,106 | 235,20,98 | 219,36,91 | 204,51,85 | 191,64,80 | 180,75,75 | 170,85,71 | 161,94,67 | 153,102,64 | 146,109,61 | 139,116,58 |
| 5 | 255,0,116 | 234,21,106 | 216,39,98 | 200,55,91 | 187,68,85 | 175,80,80 | 165,90,75 | 156,99,71 | 148,107,67 | 140,115,64 | 134,121,61 |
| 6 | 255,0,128 | 232,23,116 | 213,43,106 | 196,59,98 | 182,73,91 | 170,85,85 | 159,96,80 | 150,105,75 | 142,113,71 | 134,121,67 | 128,128,64 |
| 7 | 255,0,142 | 230,26,128 | 209,46,116 | 191,64,106 | 177,78,98 | 164,91,91 | 153,102,85 | 143,112,80 | 135,120,75 | 128,128,71 | 121,134,67 |
| 8 | 255,0,159 | 227,28,142 | 204,51,128 | 185,70,116 | 170,85,106 | 157,98,98 | 146,109,91 | 136,119,85 | 128,128,80 | 120,135,75 | 113,142,71 |
| 9 | 255,0,182 | 223,32,159 | 198,57,142 | 179,77,128 | 162,93,116 | 149,106,106 | 137,118,98 | 128,128,91 | 119,136,85 | 112,143,80 | 105,150,75 |
| 10 | 255,0,213 | 219,36,182 | 191,64,159 | 170,85,142 | 153,102,128 | 139,116,116 | 128,128,106 | 118,137,98 | 109,146,91 | 102,153,85 | 96,159,80 |
| 11 | 255,0,255 | 213,43,213 | 182,73,182 | 159,96,159 | 142,113,142 | 128,128,128 | 116,139,116 | 106,149,106 | 98,157,98 | 91,164,91 | 85,170,85 |
如下表4所示彩色纤维六维网格混色矩阵的颜色对照表。
表4
| [ξ i,j,5,5,5,3] | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 |
| 1 | 109,73,182 | 106,78,177 | 103,83,172 | 101,87,168 | 98,92,163 | 96,96,159 | 93,100,155 | 91,103,152 | 89,107,148 | 87,110,145 | 85,113,142 |
| 2 | 105,75,188 | 102,80,182 | 99,85,177 | 96,90,172 | 94,94,168 | 92,98,163 | 89,102,159 | 87,106,155 | 85,109,152 | 83,113,148 | 81,116,145 |
| 3 | 100,77,193 | 98,83,188 | 95,87,182 | 92,92,177 | 90,96,172 | 87,101,168 | 85,105,163 | 83,108,159 | 81,112,155 | 79,115,152 | 77,119,148 |
| 4 | 96,80,199 | 93,85,193 | 90,90,188 | 87,95,182 | 85,99,177 | 83,103,172 | 81,107,168 | 78,111,163 | 77,115,159 | 75,118,155 | 73,121,152 |
| 5 | 90,82,206 | 88,88,199 | 85,93,193 | 83,98,188 | 80,102,182 | 78,106,177 | 76,110,172 | 74,114,168 | 72,118,163 | 70,121,159 | 68,124,155 |
| 6 | 85,85,213 | 82,90,206 | 80,96,199 | 77,100,193 | 75,105,188 | 73,109,182 | 71,113,177 | 69,117,172 | 67,121,168 | 65,124,163 | 64,128,159 |
| 7 | 79,88,220 | 77,94,213 | 74,99,206 | 72,104,199 | 70,108,193 | 68,113,188 | 66,117,182 | 64,120,177 | 62,124,172 | 60,128,168 | 59,131,163 |
| 8 | 73,91,228 | 70,97,220 | 68,102,213 | 66,107,206 | 64,112,199 | 62,116,193 | 60,120,188 | 58,124,182 | 57,128,177 | 55,131,172 | 54,134,168 |
| 9 | 66,94,236 | 64,100,228 | 62,106,220 | 60,111,213 | 58,115,206 | 56,120,199 | 54,124,193 | 53,128,188 | 51,131,182 | 50,135,177 | 48,138,172 |
| 10 | 59,98,245 | 57,104,236 | 55,109,228 | 53,114,220 | 51,119,213 | 49,123,206 | 48,128,199 | 46,131,193 | 45,135,188 | 44,138,182 | 43,142,177 |
| 11 | 51,102,255 | 49,108,245 | 47,113,236 | 46,118,228 | 44,123,220 | 43,128,213 | 41,132,206 | 40,135,199 | 39,139,193 | 38,143,188 | 36,146,182 |
如下表5所示彩色纤维六维网格混色矩阵的颜色对照表。
表5
| [ξ i,j,5,5,5,4] | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 |
| 1 | 119,68,187 | 116,73,182 | 113,77,178 | 110,82,173 | 108,86,169 | 105,90,165 | 103,94,161 | 100,97,158 | 98,101,154 | 96,104,151 | 94,107,148 |
| 2 | 115,70,192 | 112,75,187 | 109,79,182 | 107,84,178 | 104,88,173 | 101,92,169 | 99,96,165 | 97,100,161 | 95,103,158 | 92,106,154 | 90,110,151 |
| 3 | 111,72,198 | 108,77,192 | 105,82,187 | 103,86,182 | 100,90,178 | 98,94,173 | 95,98,169 | 93,102,165 | 91,106,161 | 89,109,158 | 87,112,154 |
| 4 | 107,74,203 | 104,79,198 | 101,84,192 | 99,88,187 | 96,93,182 | 94,97,178 | 91,101,173 | 89,104,169 | 87,108,165 | 85,111,161 | 83,115,158 |
| 5 | 103,76,209 | 100,81,203 | 97,86,198 | 94,91,192 | 92,95,187 | 89,99,182 | 87,103,178 | 85,107,173 | 83,111,169 | 81,114,165 | 79,117,161 |
| 6 | 98,78,216 | 95,84,209 | 92,89,203 | 90,93,198 | 87,98,192 | 85,102,187 | 83,106,182 | 81,110,178 | 79,113,173 | 77,117,169 | 75,120,165 |
| 7 | 93,81,223 | 90,86,216 | 88,91,209 | 85,96,203 | 83,101,198 | 80,105,192 | 78,109,187 | 76,113,182 | 74,116,178 | 72,120,173 | 71,123,169 |
| 8 | 88,84,230 | 85,89,223 | 82,94,216 | 80,99,209 | 78,103,203 | 75,108,198 | 73,112,192 | 71,116,187 | 70,119,182 | 68,123,178 | 66,126,173 |
| 9 | 82,86,238 | 79,92,230 | 77,97,223 | 75,102,216 | 72,107,209 | 70,111,203 | 68,115,198 | 66,119,192 | 65,122,187 | 63,126,182 | 61,129,178 |
| 10 | 76,89,246 | 73,95,238 | 71,100,230 | 69,105,223 | 67,110,216 | 65,114,209 | 63,118,203 | 61,122,198 | 59,126,192 | 58,129,187 | 56,132,182 |
| 11 | 70,93,255 | 67,98,246 | 65,104,238 | 63,109,230 | 61,113,223 | 59,118,216 | 57,122,209 | 55,126,203 | 54,129,198 | 52,133,192 | 51,136,187 |
如下表6所示彩色纤维六维网格混色矩阵的颜色对照表。
表6
| [ξ i,j,5,5,5,5] | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 |
| 1 | 128,64,191 | 124,68,187 | 121,73,182 | 119,77,178 | 116,81,174 | 113,85,170 | 111,89,166 | 109,92,163 | 106,96,159 | 104,99,156 | 102,102,153 |
| 2 | 124,65,196 | 121,70,191 | 118,75,187 | 115,79,182 | 113,83,178 | 110,87,174 | 108,91,170 | 105,94,166 | 103,98,163 | 101,101,159 | 99,104,156 |
| 3 | 121,67,201 | 118,72,196 | 115,77,191 | 112,81,187 | 109,85,182 | 107,89,178 | 104,93,174 | 102,96,170 | 100,100,166 | 98,103,163 | 96,106,159 |
| 4 | 117,69,207 | 114,74,201 | 111,78,196 | 108,83,191 | 106,87,187 | 103,91,182 | 101,95,178 | 99,99,174 | 96,102,170 | 94,105,166 | 92,109,163 |
| 5 | 113,71,213 | 110,76,207 | 107,81,201 | 105,85,196 | 102,89,191 | 100,93,187 | 97,97,182 | 95,101,178 | 93,104,174 | 91,108,170 | 89,111,166 |
| 6 | 109,73,219 | 106,78,213 | 103,83,207 | 101,87,201 | 98,92,196 | 96,96,191 | 93,100,187 | 91,103,182 | 89,107,178 | 87,110,174 | 85,113,170 |
| 7 | 105,75,225 | 102,80,219 | 99,85,213 | 96,90,207 | 94,94,201 | 92,98,196 | 89,102,191 | 87,106,187 | 85,109,182 | 83,113,178 | 81,116,174 |
| 8 | 100,77,232 | 98,83,225 | 95,87,219 | 92,92,213 | 90,96,207 | 87,101,201 | 85,105,196 | 83,108,191 | 81,112,187 | 79,115,182 | 77,119,178 |
| 9 | 96,80,239 | 93,85,232 | 90,90,225 | 87,95,219 | 85,99,213 | 83,103,207 | 81,107,201 | 78,111,196 | 77,115,191 | 75,118,187 | 73,121,182 |
| 10 | 90,82,247 | 88,88,239 | 85,93,232 | 83,98,225 | 80,102,219 | 78,106,213 | 76,110,207 | 74,114,201 | 72,118,196 | 70,121,191 | 68,124,187 |
| 11 | 85,85,255 | 82,90,247 | 80,96,239 | 77,100,232 | 75,105,225 | 73,109,219 | 71,113,213 | 69,117,207 | 67,121,201 | 65,124,196 | 64,128,191 |
上面结合附图对本发明的实施方式作了详细说明,但是本发明并不限于上述实施方式,在本领域普通技术人员所具备的知识范围内,还可以在不脱离本发明宗旨的前提下做出各种变化。
Claims (10)
- 一种彩色纤维六维混色空间网格模型及其网格点阵列颜色矩阵构建方法,其特征在于:针对指定六基色纤维α、β、γ、δ、ε、θ,以各基色纤维质量分别对应六维坐标系中的各根坐标轴,实现六维混色网格混色空间网格点阵列模型的构建,包括如下步骤:步骤A.根据六基色纤维α、β、γ、δ、ε、θ分别所对应的预设最大质量ω α、ω β、ω γ、ω δ、ω ε、ω θ,确定各基色纤维最大质量分别所对应其所设坐标轴的位置,然后进入步骤B;步骤B.针对六维坐标系中原点与基色纤维α最大质量所对应其所设坐标轴位置之间的线段,执行m等分,即获得包含该线段两端顶点在内的m+1个点,且该线段上各点的质量 i表示该线段上由六维坐标系中原点至基色纤维α最大质量所对应其所设坐标轴位置方向、各点的序号;针对六维坐标系中原点与基色纤维β最大质量所对应其所设坐标轴位置之间的线段,执行n等分,即获得包含该线段两端顶点在内的n+1个点,且该线段上各点的质量 j表示该线段上由六维坐标系中原点至基色纤维β最大质量所对应其所设坐标轴位置方向、各点的序号;针对六维坐标系中原点与基色纤维γ最大质量所对应其所设坐标轴位置之间的线段,执行p等分,即获得包含该线段两端顶点在内的p+1个点,且该线段上各点的质量 k表示该线段上由六维坐标系中原点至基色纤维γ最大质量所对应其所设坐标轴位置方向、各点的序号;针对六维坐标系中原点与基色纤维δ最大质量所对应其所设坐标轴位置之间的线段,执行q等分,即获得包含该线段两端顶点在内的q+1个点,且该线段上各点的质量 τ表示该线段上由六维坐标系中原点至基色纤维δ最大质量所对应其所设坐标轴位置方向、各点的序号;针对六维坐标系中原点与基色纤维ε最大质量所对应其所设坐标轴位置之间的线段,执行s等分,即获得包含该线段两端顶点在内的s+1个点,且该线段上各点的质量 μ表示该线段上由六维坐标系中原点至基色纤维ε最大质量所对应其所设坐标轴位置方向、各点的序号;针对六维坐标系中原点与基色纤维θ最大质量所对应其所设坐标轴位置之间的线段,执行t等分,即获得包含该线段两端顶点在内的t+1个点,且该线段上各点的质量 表示该线段上由六维坐标系中原点至基色纤维θ最大质量所对应其所设坐标轴位置方向、各点的序号;然后进入步骤C;步骤C.构建六基色纤维α、β、γ、δ、ε、θ分别所对应混合比λ α(i,j,k,τ,μ)、λ β(i,j,k,τ,μ)、λ γ(i,j,k,τ,μ)、λ δ(i,j,k,τ,μ)、λ ε(i,j,k,τ,μ)、λ θ(i,j,k,τ,μ)如下,然后进入步骤D;步骤D.构建六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的质量模型如下,然后进入步骤E;步骤E.构建六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的质量矩阵如下,然后进入步骤F;步骤F.构建六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的颜色值模型如下:然后进入步骤G,其中,R α、G α、B α表示基色纤维α所对应的RGB色,R β、G β、B β表示基色纤维β所对应的RGB色,R γ、G γ、B γ表示基色纤维γ所对应的RGB色,R δ、G δ、B δ表示基色纤维δ所对应的RGB色,R ε、G ε、B ε表示基色纤维ε所对应的RGB色;R θ、G θ、B θ表示基色纤维θ所对应的RGB色,;ξ i,j,k,τ,μ,θ表示六维坐标系中坐标(i,j,k,τ,μ,θ)位置所对应六基色纤维α、β、γ、δ、ε、θ混合纱线的颜色值,R ξ(i,j,k,τ,μ,θ)、G ξ(i,j,k,τ,μ,θ)、B ξ(i,j,k,τ,μ,θ)表示六维坐标系中坐标(i,j,k,τ,μ,θ)位置所对应六基色纤维α、β、γ、δ、ε、θ混合纱线的RGB色;步骤G.构建六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的颜色值矩阵如下:
- 根据权利要求1所述一种彩色纤维六维混色空间网格模型及其网格点阵列颜色矩阵构建方法,其特征在于:基于步骤A至步骤G所获六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的颜色值模型,以及所述六基色纤维α、β、γ、δ、ε、θ的最大质量与等分数就彼此相等,即ω α=ω β=ω γ=ω δ=ω ε=ω θ,m=n=p=q=s=t,基色纤维α对应六维坐标系中的X轴、基色纤维β对应六维坐标系中的Y轴、基色纤维γ对应六维坐标系中的Z轴,基色纤维δ对应六维坐标系中的U轴,基色纤维ε对应六维坐标系中的V轴,基色纤维θ对应六维坐标系中的W轴;其中,基于i、j、k、τ、μ为常数,构建与W轴平行的(n+1) 5个1行(n+1)列一维颜色线阵列如下:
- 根据权利要求1所述一种彩色纤维六维混色空间网格模型及其网格点阵列颜色矩阵构建方法,其特征在于:基于步骤A至步骤G所获六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的颜色值模型,以及所述六基色纤维α、β、γ、δ、ε、θ的最大质量与等分数就彼此相等,即ω α=ω β=ω γ=ω δ=ω ε=ω θ,m=n=p=q=s=t;其中,基于i、j、k、τ为常数,构建(n+1) 4个(n+1)行(n+1)列二维颜色阵列如下:基于i、j、k、μ为常数,构建(n+1) 4个(n+1)行(n+1)列二维颜色阵列如下:基于i、j、τ、μ为常数,构建(n+1) 4个(n+1)行(n+1)列二维颜色阵列如下:基于i、k、τ、μ为常数,构建(n+1) 4个(n+1)行(n+1)列二维颜色阵列如下:基于j、k、τ、μ为常数,构建(n+1) 4个(n+1)行(n+1)列二维颜色阵列如下:
- 根据权利要求1所述一种彩色纤维六维混色空间网格模型及其网格点阵列颜色矩阵构建方法,其特征在于:基于步骤A至步骤G所获六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的颜色值模型,以及所述六基色纤维α、β、γ、δ、ε、θ的最大质量与等分数就彼此相等,即ω α=ω β=ω γ=ω δ=ω ε=ω θ,m=n=p=q=s=t;
- 根据权利要求1所述一种彩色纤维六维混色空间网格模型及其网格点阵列颜色矩阵构建方法,其特征在于:基于步骤A至步骤G所获六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的颜色值模型,以及所述六基色纤维α、β、γ、δ、ε、θ的最大质量与等分数就彼此相等,即ω α=ω β=ω γ=ω δ=ω ε=ω θ,m=n=p=q=s=t;
- 根据权利要求1所述一种彩色纤维六维混色空间网格模型及其网格点阵列颜色矩阵构建方法,其特征在于:基于步骤A至步骤G所获六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的颜色值模型,以及所述六基色纤维α、β、γ、δ、ε、θ的最大质量与等分数就彼此相等,即ω α=ω β=ω γ=ω δ=ω ε=ω θ,m=n=p=q=s=t;
- 一种针对权利要求1至9中任意一项所述一种彩色纤维六维混色空间网格模型及其网格点阵列颜色矩阵构建方法的应用,其特征在于:将所述六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的颜色值,存储于数据库中,按如下方式,用于实现对目标颜色的分析;首选采用检色仪检测获得目标颜色所对应的RGB颜色检测数据,并在数据库中查找该RGB颜色检测数据所对应的网格点;然后在以该网格点为原点、周围预设半径范围,通过比对的方式,获得目标颜色所对应的网格点;最后由该网格点所对应的RGB颜色数据,构成目标颜色所对应的RGB颜色数据。
Applications Claiming Priority (2)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202011372178.0 | 2020-11-30 | ||
| CN202011372178.0A CN112347683B (zh) | 2020-11-30 | 2020-11-30 | 彩纤六维混色空间网格模型与网格点阵列色谱构建及应用 |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| WO2022110587A1 true WO2022110587A1 (zh) | 2022-06-02 |
Family
ID=74365106
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| PCT/CN2021/082628 Ceased WO2022110587A1 (zh) | 2020-11-30 | 2021-03-24 | 一种彩色纤维六维混色空间网格模型及其网格点阵列颜色矩阵构建方法及应用 |
Country Status (2)
| Country | Link |
|---|---|
| CN (1) | CN112347683B (zh) |
| WO (1) | WO2022110587A1 (zh) |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| WO2025251384A1 (zh) * | 2024-06-05 | 2025-12-11 | 浙江金彩新材料有限公司 | 基于奥斯特瓦尔德全色域混色模型的色彩调配方法及系统 |
Families Citing this family (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN112347683B (zh) * | 2020-11-30 | 2021-08-10 | 江南大学 | 彩纤六维混色空间网格模型与网格点阵列色谱构建及应用 |
| CN113538690B (zh) * | 2021-06-16 | 2024-01-12 | 江南大学 | Hsv网格化模型构建及色谱可视化方法 |
| CN115491909B (zh) * | 2022-09-05 | 2024-02-02 | 愉悦家纺有限公司 | 基于九基色染液网格化混配的色立体及其等明度色谱构建 |
Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN103729472A (zh) * | 2014-01-21 | 2014-04-16 | 成都齐力丝绸有限公司 | 一种织锦颜色组织库的创建方法及其应用 |
| CN110490981A (zh) * | 2019-08-14 | 2019-11-22 | 愉悦家纺有限公司 | 一种八元基色hsb全色域颜色空间网格化模型及其离散色谱构建方法 |
| CN110485018A (zh) * | 2019-08-14 | 2019-11-22 | 愉悦家纺有限公司 | 一种四基色纤维耦合混配构建的离散渐变色谱及渐变色纱的纺制 |
| US20200118295A1 (en) * | 2018-10-12 | 2020-04-16 | Xiangtan University | Dyeing color matching method and system based on preference genetic algorithm |
| CN112347683A (zh) * | 2020-11-30 | 2021-02-09 | 江南大学 | 一种彩色纤维六维混色空间网格模型及其网格点阵列颜色矩阵构建方法及应用 |
Family Cites Families (7)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN101794290B (zh) * | 2009-12-30 | 2011-12-28 | 清华大学 | 一种基于视觉认知特征的彩色三维模型检索方法 |
| CN101853484A (zh) * | 2010-05-21 | 2010-10-06 | 天津大学 | 一种三维网格非嵌入式健壮水印的构造方法和检测方法 |
| CN102041592A (zh) * | 2010-12-31 | 2011-05-04 | 山东岱银纺织集团股份有限公司 | 一种色纺中空纱线的生产方法 |
| KR101325881B1 (ko) * | 2012-09-06 | 2013-11-05 | 민승기 | 닥나무를 이용한 천연혼방사 제조방법 |
| US9463150B2 (en) * | 2014-12-19 | 2016-10-11 | Henkel Ag & Co. Kgaa | Agent for coloring and/or lightening keratinic fibers without ammonia odor |
| CN109811442B (zh) * | 2019-03-13 | 2023-10-27 | 经纬智能纺织机械有限公司 | 六通道交变牵伸缠捻包覆环锭花式纱线成型装置及方法 |
| CN110424082B (zh) * | 2019-08-14 | 2021-11-02 | 愉悦家纺有限公司 | 基于离散渐变色谱的三基色纤维耦合混配纺制渐变纱的方法 |
-
2020
- 2020-11-30 CN CN202011372178.0A patent/CN112347683B/zh active Active
-
2021
- 2021-03-24 WO PCT/CN2021/082628 patent/WO2022110587A1/zh not_active Ceased
Patent Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN103729472A (zh) * | 2014-01-21 | 2014-04-16 | 成都齐力丝绸有限公司 | 一种织锦颜色组织库的创建方法及其应用 |
| US20200118295A1 (en) * | 2018-10-12 | 2020-04-16 | Xiangtan University | Dyeing color matching method and system based on preference genetic algorithm |
| CN110490981A (zh) * | 2019-08-14 | 2019-11-22 | 愉悦家纺有限公司 | 一种八元基色hsb全色域颜色空间网格化模型及其离散色谱构建方法 |
| CN110485018A (zh) * | 2019-08-14 | 2019-11-22 | 愉悦家纺有限公司 | 一种四基色纤维耦合混配构建的离散渐变色谱及渐变色纱的纺制 |
| CN112347683A (zh) * | 2020-11-30 | 2021-02-09 | 江南大学 | 一种彩色纤维六维混色空间网格模型及其网格点阵列颜色矩阵构建方法及应用 |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| WO2025251384A1 (zh) * | 2024-06-05 | 2025-12-11 | 浙江金彩新材料有限公司 | 基于奥斯特瓦尔德全色域混色模型的色彩调配方法及系统 |
Also Published As
| Publication number | Publication date |
|---|---|
| CN112347683B (zh) | 2021-08-10 |
| CN112347683A (zh) | 2021-02-09 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN112562016B (zh) | 彩纤多维混色空间网格模型与网格点阵列色谱构建及应用 | |
| WO2022110585A1 (zh) | 一种彩色纤维三维混色空间网格模型及网格点阵列颜色矩阵的构建方法及应用 | |
| WO2022110584A1 (zh) | 一种彩色纤维五维混色空间网格模型及其网格点阵列颜色矩阵构建方法及应用 | |
| CN112347683B (zh) | 彩纤六维混色空间网格模型与网格点阵列色谱构建及应用 | |
| WO2022110588A1 (zh) | 一种彩色纤维四维混色空间网格模型及网格点阵列颜色矩阵的构建方法及应用 | |
| CN112347685B (zh) | 彩纤二维混色空间网格模型与网格点阵列色谱构建及应用 | |
| CN115115717B (zh) | 基于梯度化灰度值构建的七基色聚酯三维网格化混配三维色立体及全色域调配色方法 | |
| US7136074B2 (en) | Method and system of improved color selection | |
| CN115146489B (zh) | 七基色染液网格化混配构建hsi色立体及其色谱获取方法 | |
| US5907495A (en) | Method of formulating paint through color space modeling | |
| CN110490981A (zh) | 一种八元基色hsb全色域颜色空间网格化模型及其离散色谱构建方法 | |
| CN112733079B (zh) | 一种构建多维度叠加混色模型与渐变色谱矩阵的方法 | |
| CN113538691B (zh) | Hsi网格化模型构建及其等明度等彩度等色相色谱的可视化方法 | |
| CN115146490B (zh) | 一种多维度网格化染液混配的全色域颜色模型及其色谱构建方法 | |
| WO2023202108A1 (zh) | 基于三原色纤维混色纺纱的全色域网格化混色模型构建方法及彩色纺纱方法 | |
| CN113536540A (zh) | 多元混色纤维体系构建高维离散色谱及可视化方法 | |
| CN115115716B (zh) | 四基色聚酯网格化混配构建的色立体及其全色域数字化方法 | |
| US20020015051A1 (en) | Method of visualization and graphical analysis for multidimensional functions | |
| CN112785664A (zh) | 多维度耦合混色模型与渐变色谱矩阵算法构建应用 | |
| CN115491909B (zh) | 基于九基色染液网格化混配的色立体及其等明度色谱构建 | |
| CN113538690B (zh) | Hsv网格化模型构建及色谱可视化方法 | |
| CN112632790B (zh) | 多维度耦合-叠加复合混色模型与渐变色谱矩阵算法构建应用 | |
| CN118781249B (zh) | 基于奥斯特瓦尔德全色域混色模型的色彩调配方法及系统 | |
| CN113112555B (zh) | 一种网格化cmy颜色空间的网格点阵列模型构建方法及应用 | |
| Chen et al. | Research and Algorithm Optimization on the Intelligent Color Selection of Mosaic Tiles through RGB Color model |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| 121 | Ep: the epo has been informed by wipo that ep was designated in this application |
Ref document number: 21896105 Country of ref document: EP Kind code of ref document: A1 |
|
| NENP | Non-entry into the national phase |
Ref country code: DE |
|
| 122 | Ep: pct application non-entry in european phase |
Ref document number: 21896105 Country of ref document: EP Kind code of ref document: A1 |


























































































