Journal of Textile Research ›› 2021, Vol. 42 ›› Issue (07): 123-128.doi: 10.13475/j.fzxb.20200705106

• Dyeing and Finishing & Chemicals • Previous Articles     Next Articles

Improved genetic algorithm for fabric formulation prediction based on simulated annealing algorithm

XU Xuemei()   

  1. School of Information Science and Technology, Zhejiang Sci-Tech University, Hangzhou, Zhejiang 310018, China
  • Received:2020-07-21 Revised:2021-04-02 Online:2021-07-15 Published:2021-07-22

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Abstract:

In order to improve the color matching accuracy, efficiency and generalization ability of traditional color matching methods and existing color matching algorithms, a fabric intelligent color matching model based on the combination of genetic algorithm and simulated annealing algorithm based on BP neural network was constructed, and the color was predicted by the trained BP neural network. The good BP neural network and the CIEDE2000 color difference formula were combined to form the fitness function of the genetic algorithm. The genetic algorithm based on the BP neural network improved by the simulated annealing algorithm was used to predict the color formula, and the polyester fabric was dyed according to the predicted recipe. The research results show that the genetic algorithm color matching model optimized by the simulated annealing algorithm based on BP neural network only needs 80 iterations to converge. The theoretical average color difference of the predicted colors is 0.165, the average color difference from dyeing experiments is 0.289, and the average absolute error of the formula is 0.010 7. The average theoretical color difference of the verification sample is 0.240, and the average color difference of the dyeing experiment is 0.437. It is proved that the algorithm can realize the intelligent color matching of fabrics.

Key words: color-matching prediction, BP neural network, genetic algorithm, simulated annealing algorithm, color difference, intelligent color matching of fabric

CLC Number: 

  • TS193.13

Tab.1

Color formula and chromaticity parameters of standard samples"

样本编号 配方/% 色度值
红 黄 蓝 L* a* b*
1 0.10 0.30 2.80 30.694 -10.374 -17.745
2 1.00 0.20 1.20 34.313 0.790 -16.182
3 0.20 2.60 0.40 41.730 2.040 33.974
4 2.60 0.15 0.05 44.569 41.907 4.242
5 0.40 1.20 0.40 42.674 -1.439 24.663
6 0.15 0.05 2.20 34.886 -2.647 -31.032
7 2.20 0.12 0.08 44.438 37.492 0.153
8 0.30 0.10 2.40 32.020 -2.628 -27.608
9 0.60 1.80 0.40 40.459 4.100 27.722
10 0.70 0.30 1.80 32.187 -5.570 -14.896
11 1.20 1.40 0.20 42.384 17.285 27.896
12 1.80 0.70 0.30 38.402 17.483 11.890
13 0.20 2.40 0.60 38.839 -3.067 28.179
14 2.60 0.20 0.40 35.839 22.868 -7.744
15 2.80 0.25 0.15 40.245 33.219 2.460
16 3.00 0.08 0.12 41.164 38.604 -5.183
17 1.40 1.60 0.20 41.542 19.332 28.616
18 0.20 1.20 1.40 33.553 -14.272 9.528

Tab.2

Validation results by BP neural network"

样本编号 预测色度值 色差
L' a' b'
1 30.657 -10.526 -17.984 0.154
2 34.632 0.649 -16.327 0.244
3 41.450 2.076 33.699 0.170
4 44.845 41.885 4.349 0.139
5 42.839 -1.477 24.758 0.094
6 34.514 -2.711 -31.175 0.178
7 44.484 37.305 -0.011 0.119
8 32.302 -2.667 -27.609 0.116
9 40.620 3.844 27.590 0.230
10 32.511 -5.735 -14.793 0.224
11 42.223 17.504 27.956 0.157
12 38.535 17.832 12.030 0.151
13 38.682 -2.841 28.158 0.200
14 36.179 23.133 -7.882 0.207
15 40.236 33.025 2.387 0.088
16 41.355 38.726 -5.369 0.136
17 40.989 19.517 28.725 0.269
18 33.582 -14.390 9.516 0.091

Tab.3

Convergence analysis of algorithm training"

参数 数值
1 2 3
种群规模 500 100 100
迭代次数 1 000 1 000 2 000
迭代收敛次数 80 300 300
收敛色差 Δ E 00 0.152 0.306 0.297

Tab.4

Results predicted by GA-BP-SA algorithm"

样本编号 预测配方/% 绝对误差
红 黄 蓝 红 黄 蓝
1 0.101 5 0.277 7 2.801 4 0.001 5 0.022 3 0.001 4
2 1.010 7 0.209 4 1.172 4 0.010 7 0.009 4 0.027 6
3 0.198 8 2.594 8 0.428 6 0.001 2 0.005 2 0.028 6
4 2.618 4 0.156 1 0.038 4 0.018 4 0.006 1 0.011 6
5 0.425 0 1.184 4 0.383 6 0.025 0 0.015 6 0.016 4
6 0.160 9 0.057 5 2.196 1 0.010 9 0.007 5 0.003 9
7 2.201 1 0.128 2 0.077 5 0.001 1 0.008 2 0.002 5
8 0.302 6 0.135 0 2.401 8 0.002 6 0.035 0 0.001 8
9 0.587 2 1.805 4 0.430 6 0.012 8 0.005 4 0.030 6
10 0.711 3 0.301 6 1.789 9 0.011 3 0.001 6 0.010 1
11 1.191 0 1.395 5 0.215 3 0.009 0 0.004 5 0.015 3
12 1.789 4 0.717 4 0.306 9 0.010 6 0.017 4 0.006 9
13 0.198 0 2.381 8 0.603 8 0.002 0 0.018 2 0.003 8
14 2.606 1 0.228 2 0.432 0 0.006 1 0.028 2 0.032 0
15 2.790 7 0.256 6 0.154 2 0.009 3 0.006 6 0.004 2
16 2.995 4 0.086 3 0.118 1 0.004 6 0.006 3 0.001 9
17 1.386 1 1.601 5 0.182 9 0.013 9 0.001 5 0.017 1
18 0.207 4 1.198 9 1.401 8 0.007 4 0.001 1 0.001 8

Tab.5

CIELab chromaticity value and color difference value of each component of stained sample"

样本编号 染色样本色度值 Δ L * Δ a * Δ b * Δ C * Δ H *
L' a' b'
1 30.651 -10.642 -17.649 -0.043 -0.268 0.096 0.046 -0.014
2 34.261 0.527 -16.138 -0.052 -0.263 0.044 -0.057 -0.016
3 41.309 2.091 33.865 -0.421 0.051 -0.109 -0.418 -0.002
4 44.292 41.854 3.967 -0.278 -0.053 -0.275 -0.238 -0.006
5 42.345 -1.207 24.926 -0.329 0.232 0.263 -0.336 -0.010
6 34.997 -2.230 -31.066 0.111 0.417 -0.034 0.082 0.047
7 44.650 37.976 0.106 0.212 0.484 -0.047 0.475 -0.001
8 32.149 -2.989 -27.339 0.129 -0.361 0.269 0.160 -0.015
9 40.087 4.161 27.481 -0.372 0.061 -0.241 -0.364 -0.023
10 32.261 -5.488 -14.133 0.074 0.082 0.763 0.059 -0.018
11 42.728 17.246 27.388 0.344 -0.039 -0.508 0.304 -0.007
12 38.032 17.521 11.604 -0.370 0.038 -0.286 -0.321 -0.012
13 38.601 -3.503 28.009 -0.238 -0.436 -0.170 -0.200 0.025
14 35.508 23.156 -7.749 -0.331 0.288 -0.005 -0.122 0.004
15 40.665 33.676 2.054 0.420 0.457 -0.406 0.615 -0.019
16 41.065 38.157 -5.034 -0.099 -0.447 0.149 -0.377 0.008
17 41.989 19.657 28.417 0.447 0.325 -0.199 0.543 -0.011
18 33.485 -14.502 10.051 -0.068 -0.230 0.523 0.028 -0.017

Tab.6

Shift law of component color difference"

分量色差值 颜色
+(正值) -(负值)
Δ L * 偏亮 偏暗
Δ a * 偏红 偏绿
Δ b * 偏黄 偏蓝
Δ C * 偏鲜艳 偏暗

Tab.7

Experimental color difference between dyed sample and standard sample"

样本编号 实验色差值 样本编号 实验色差值
1 0.229 10 0.452
2 0.311 11 0.303
3 0.199 12 0.266
4 0.201 13 0.396
5 0.296 14 0.206
6 0.314 15 0.367
7 0.208 16 0.182
8 0.365 17 0.354
9 0.210 18 0.346

Tab.8

GA-BP-SA algorithm color matching accuracy analysis"

Δ E - 不同实验色差在染色样本中比例/%
Δ E ≤ 0.2 Δ E ≤ 0.3 Δ E ≤ 0.4 Δ E ≤ 0.5
0.289 11.11 50.00 94.44 100.00

Fig.1

Theoretical color differences and experimental color differences of verify samples"

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