Journal of Textile Research ›› 2020, Vol. 41 ›› Issue (01): 50-55.doi: 10.13475/j.fzxb.20190102106

• Textile Engineering • Previous Articles     Next Articles

Construction of Kubelka-Munk double-constant color matching model for ring digital yarn color prediction

ZHANG Tingting1, XUE Yuan1(), HE Yudong1, LIU Yuexing2, ZHANG Guoqing2   

  1. 1. Key Laboratory of Eco-Textiles (Jiangnan University), Ministry of Education, Wuxi, Jiangsu 214122, China
    2. Yuyue Home Textile Co., Ltd., Binzhou, Shandong 256623, China
  • Received:2019-01-11 Revised:2019-09-09 Online:2020-01-15 Published:2020-01-14
  • Contact: XUE Yuan E-mail:fzxueyuan@qq.com

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Abstract:

With the aim to construct a color-matching model for ring digital spun yarns, the ring spinning machine is used to produce yarns from rovings of five colors (red, yellow, cyan, black and white) as raw materials, with a 10% blending gradient for color spinning. Such obtained yarns were then made in fabrics with a circular knitting machine to examine the color of fabrics. Based on the Kubelka-Munk double-constant theory, the relative value method was employed to solve the parameter absorption coefficient and the scattering coefficient, leading to the construction of the model. The color-matching algorithm was formulated by combining the full chromatogram algorithm and the least squares method to predict the color mixing in the ring digital spinning. Red, yellow and cyan rovings were prepared using different mixing ratios. The results showed that the average color difference was 1.74, and the average proportional error was 7.38%. 72.22% of the samples demonstrated a color difference less than 2%, which proved that the model is applicable for the ring spinning system.

Key words: digital ring spinning, colored yarn, Kubelka-Munk double-constant theory, color-matching prediction

CLC Number: 

  • TS104.1

Tab.1

Dual channel roving color combination mode"

模式编号 颜色组合 模式编号 颜色组合
1 品红+黄 6 黄+黑
2 品红+青 7 黄+白
3 品红+黑 8 青+黑
4 品红+白 9 青+白
5 黄色+青 10 黑+白

Fig.1

Knitted fabric"

Tab.2

Monochrome yarn fabric colorimetric parameters"

单色纱线颜色 L* a* b* C* h*
品红 40.47 53.95 1.17 53.97 1.24
黄 70.24 24.09 74.90 78.68 72.17
青 50.65 -9.86 -28.77 30.41 251.09
黑 13.14 0.74 -1.21 1.42 301.48
白 87.64 0.73 13.08 13.10 86.82

Tab.3

Reflectance at different wavelengths"

波长/
nm		 反射率 波长/
nm		 反射率 波长/
nm		 反射率
380 0.069 92 490 0.096 10 600 0.050 01
390 0.076 06 500 0.093 45 610 0.048 42
400 0.082 71 510 0.089 17 620 0.048 09
410 0.088 15 520 0.084 90 630 0.048 48
420 0.093 68 530 0.079 88 640 0.049 74
430 0.098 55 540 0.074 97 650 0.051 30
440 0.101 68 550 0.069 75 660 0.053 04
450 0.102 87 560 0.064 95 670 0.053 57
460 0.102 61 570 0.060 20 680 0.068 03
470 0.101 63 580 0.056 40 690 0.089 86
480 0.099 23 590 0.052 70 700 0.131 09

Fig.2

K values (a) and S values (b) calculated under different wavelength"

Fig.3

Comparison of predicted reflectance curve and measured reflectance curve"

Tab.4

Color differences fitted by relative value method"

颜色组合
模式		 不同混纺比下拟合色差
10/90 20/80 30/70 40/60 50/50
青:品红 0.975 1.147 1.663 0.851 1.284
品红:黄 0.774 1.730 1.208 0.938 1.201
黄:青 0.042 1.517 2.385 1.902 1.141
青:白 1.490 3.346 0.489 3.210 1.717
品红:白 1.034 0.385 0.341 1.797 0.046
黄:白 0.079 0.649 0.644 1.582 2.839
青:黑 0.098 0.482 0.885 0.617 2.086
品红:黑 0.452 1.511 2.265 0.159 1.065
黄:黑 0.106 0.792 0.556 1.204 2.807
白:黑 0.105 1.070 0.211 1.356 2.543

Tab.5

Prediction results based on Kubelka-Munk double constant theory"

样本
编号		 M、Y、C的
混合比例		 样本色度值 预测色度值 M、Y、C的混合
预测比例		 色差
L* a* b* L* a* b*
1 10:10:80 45.92 1.67 -11.89 46.51 -0.65 -11.21 16.70:12.86:70.44 2.81
2 10:20:70 47.09 -0.17 -0.70 47.61 -0.55 -1.51 15.30:23.44:61.25 1.24
3 10:30:60 48.45 1.44 7.99 48.57 1.72 7.01 15.76:33.11:51.13 1.13
4 10:40:50 49.12 1.89 11.23 49.13 2.36 10.24 15.33:36.90:47.78 1.17
5 10:50:40 49.87 3.21 11.59 49.15 3.05 11.05 15.90:37.80:46.30 0.55
6 10:60:30 51.26 3.86 16.18 50.05 3.82 15.37 14.94:42.92:42.14 0.80
7 10:70:20 54.20 8.87 26.90 51.76 8.45 24.78 15.83:53.72:30.45 1.59
8 10:80:10 58.63 17.34 41.56 54.63 15.38 36.80 16.44:66.77:16.79 2.84

Tab.6

Kubelka-Munk double constant theory measurement color matching precision analysis"

ΔEˉ 不同色差在样本中比例/% Δˉr/%
ΔE≤1 ΔE≤1.5 ΔE≤2 ΔE≤2.5 ΔE≤3
1.74 5.56% 33.33% 72.22% 86.11% 97.22% 7.38%
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