China Mechanical Engineering ›› 2025, Vol. 36 ›› Issue (09): 2081-2086.DOI: 10.3969/j.issn.1004-132X.2025.09.020
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Hongwei XU(
), Wenbin YE, Shunyao MA, Hang ZHANG
Received:2024-08-05
Online:2025-09-25
Published:2025-10-15
Contact:
Hongwei XU
通讯作者:
徐宏伟
作者简介:徐宏伟*(通信作者),男,1968年生,博士、副教授。主要研究方向为印刷包装机械及其自动化,3D打印技术及控制系统研究。E-mail:xuhongwei@xaut.edu.cn。
基金资助:CLC Number:
Hongwei XU, Wenbin YE, Shunyao MA, Hang ZHANG. Research on Color Matching Calibration Algorithm for FDM Full Color 3D Presses[J]. China Mechanical Engineering, 2025, 36(09): 2081-2086.
徐宏伟, 叶文斌, 马顺尧, 张航. FDM全彩色3D打印机颜色匹配标定算法研究[J]. 中国机械工程, 2025, 36(09): 2081-2086.
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URL: https://www.cmemo.org.cn/EN/10.3969/j.issn.1004-132X.2025.09.020
| 序号 | R | G | B |
|---|---|---|---|
| 1 | 116 | 71 | 50 |
| 2 | 116 | 69 | 51 |
| 3 | 114 | 69 | 50 |
| 4 | 117 | 71 | 48 |
| 5 | 116 | 69 | 49 |
| 6 | 118 | 73 | 49 |
| 7 | 118 | 71 | 48 |
| 8 | 118 | 71 | 49 |
| 9 | 115 | 70 | 48 |
| 10 | 117 | 72 | 51 |
Tab.1 The RGB values of the 10 points
| 序号 | R | G | B |
|---|---|---|---|
| 1 | 116 | 71 | 50 |
| 2 | 116 | 69 | 51 |
| 3 | 114 | 69 | 50 |
| 4 | 117 | 71 | 48 |
| 5 | 116 | 69 | 49 |
| 6 | 118 | 73 | 49 |
| 7 | 118 | 71 | 48 |
| 8 | 118 | 71 | 49 |
| 9 | 115 | 70 | 48 |
| 10 | 117 | 72 | 51 |
| 灰色色阶 | 白色 | 灰度 8 | 灰度 6.5 | 灰度5 | 灰度3.5 | 黑色 | |
|---|---|---|---|---|---|---|---|
| 标准 | R1 | 243 | 200 | 160 | 122 | 85 | 52 |
| G1 | 243 | 200 | 160 | 122 | 85 | 52 | |
| B1 | 242 | 200 | 160 | 121 | 85 | 52 | |
| 校正前 | R2 | 214 | 188 | 156 | 109 | 71 | 36 |
| G2 | 212 | 188 | 156 | 109 | 72 | 36 | |
| B2 | 196 | 174 | 142 | 96 | 65 | 34 | |
| 色差 | ΔE | 20.7 | 10 | 5.9 | 10.4 | 9.4 | 10 |
Tab.2 Gray scale color difference before correction
| 灰色色阶 | 白色 | 灰度 8 | 灰度 6.5 | 灰度5 | 灰度3.5 | 黑色 | |
|---|---|---|---|---|---|---|---|
| 标准 | R1 | 243 | 200 | 160 | 122 | 85 | 52 |
| G1 | 243 | 200 | 160 | 122 | 85 | 52 | |
| B1 | 242 | 200 | 160 | 121 | 85 | 52 | |
| 校正前 | R2 | 214 | 188 | 156 | 109 | 71 | 36 |
| G2 | 212 | 188 | 156 | 109 | 72 | 36 | |
| B2 | 196 | 174 | 142 | 96 | 65 | 34 | |
| 色差 | ΔE | 20.7 | 10 | 5.9 | 10.4 | 9.4 | 10 |
| 灰色色阶 | 白色 | 灰度 8 | 灰度 6.5 | 灰度5 | 灰度3.5 | 黑色 | |
|---|---|---|---|---|---|---|---|
| 标准 | R1 | 243 | 200 | 160 | 122 | 85 | 52 |
| G1 | 243 | 200 | 160 | 122 | 85 | 52 | |
| B1 | 242 | 200 | 160 | 121 | 85 | 52 | |
| 校正后 | R2 | 243 | 199 | 160 | 121 | 85 | 53 |
| G2 | 242 | 199 | 161 | 121 | 85 | 54 | |
| B2 | 242 | 200 | 159 | 117 | 86 | 54 | |
| 色差 | ΔE | 0.4 | 0.5 | 0.5 | 1.4 | 0.5 | 1.1 |
Tab.3 Gray scale color difference after correction
| 灰色色阶 | 白色 | 灰度 8 | 灰度 6.5 | 灰度5 | 灰度3.5 | 黑色 | |
|---|---|---|---|---|---|---|---|
| 标准 | R1 | 243 | 200 | 160 | 122 | 85 | 52 |
| G1 | 243 | 200 | 160 | 122 | 85 | 52 | |
| B1 | 242 | 200 | 160 | 121 | 85 | 52 | |
| 校正后 | R2 | 243 | 199 | 160 | 121 | 85 | 53 |
| G2 | 242 | 199 | 161 | 121 | 85 | 54 | |
| B2 | 242 | 200 | 159 | 117 | 86 | 54 | |
| 色差 | ΔE | 0.4 | 0.5 | 0.5 | 1.4 | 0.5 | 1.1 |
隐含层 节点数 | 训练均方误差 | 验证均方误差 | 测试均方误差 | 平均 误差 |
|---|---|---|---|---|
| 4 | 0.002 67 | 0.002 57 | 0.002 33 | 0.002 52 |
| 5 | 0.002 06 | 0.001 84 | 0.003 29 | 0.002 40 |
| 6 | 0.001 37 | 0.001 27 | 0.003 71 | 0.002 12 |
| 7 | 0.001 55 | 0.001 22 | 0.001 53 | 0.001 43 |
| 8 | 0.001 32 | 0.001 62 | 0.002 57 | 0.001 84 |
| 9 | 0.001 99 | 0.001 96 | 0.002 53 | 0.002 16 |
| 10 | 0.001 82 | 0.001 53 | 0.001 53 | 0.001 63 |
| 11 | 0.001 70 | 0.001 89 | 0.001 42 | 0.001 67 |
| 12 | 0.001 13 | 0.002 08 | 0.001 31 | 0.001 51 |
| 13 | 0.001 25 | 0.001 74 | 0.001 70 | 0.001 56 |
Tab.4 Node errors for different hidden layers
隐含层 节点数 | 训练均方误差 | 验证均方误差 | 测试均方误差 | 平均 误差 |
|---|---|---|---|---|
| 4 | 0.002 67 | 0.002 57 | 0.002 33 | 0.002 52 |
| 5 | 0.002 06 | 0.001 84 | 0.003 29 | 0.002 40 |
| 6 | 0.001 37 | 0.001 27 | 0.003 71 | 0.002 12 |
| 7 | 0.001 55 | 0.001 22 | 0.001 53 | 0.001 43 |
| 8 | 0.001 32 | 0.001 62 | 0.002 57 | 0.001 84 |
| 9 | 0.001 99 | 0.001 96 | 0.002 53 | 0.002 16 |
| 10 | 0.001 82 | 0.001 53 | 0.001 53 | 0.001 63 |
| 11 | 0.001 70 | 0.001 89 | 0.001 42 | 0.001 67 |
| 12 | 0.001 13 | 0.002 08 | 0.001 31 | 0.001 51 |
| 13 | 0.001 25 | 0.001 74 | 0.001 70 | 0.001 56 |
| 色片编号 | 标准颜色RGB值 | 混合出颜色RGB值 | 色差 | ||||
|---|---|---|---|---|---|---|---|
| R | G | B | R | G | B | ΔE | |
| 1 | 115 | 82 | 68 | 101 | 79 | 68 | 4.52 |
| 2 | 194 | 150 | 130 | 196 | 149 | 136 | 1.95 |
| 3 | 98 | 122 | 157 | 100 | 123 | 151 | 2.07 |
| 4 | 87 | 108 | 67 | 86 | 105 | 70 | 1.58 |
| 5 | 133 | 128 | 177 | 130 | 128 | 174 | 1.34 |
| 6 | 103 | 189 | 170 | 116 | 173 | 161 | 8.11 |
| 7 | 214 | 126 | 44 | 203 | 121 | 48 | 4.36 |
| 8 | 80 | 91 | 166 | 83 | 93 | 158 | 2.89 |
| 9 | 193 | 90 | 99 | 183 | 95 | 102 | 3.97 |
| 10 | 94 | 60 | 108 | 88 | 63 | 103 | 2.73 |
| 11 | 157 | 188 | 64 | 166 | 179 | 67 | 4.73 |
| 12 | 224 | 163 | 46 | 214 | 161 | 53 | 4.03 |
| 13 | 56 | 61 | 150 | 58 | 70 | 141 | 4.72 |
| 14 | 70 | 148 | 73 | 60 | 123 | 58 | 11.56 |
| 15 | 175 | 54 | 60 | 156 | 58 | 58 | 6.41 |
| 16 | 231 | 199 | 31 | 233 | 182 | 46 | 8.09 |
| 17 | 187 | 86 | 149 | 174 | 89 | 158 | 5.21 |
| 18 | 8 | 133 | 161 | 20 | 121 | 140 | 9.31 |
| 19 | 243 | 243 | 242 | 228 | 227 | 224 | 9.70 |
| 20 | 200 | 200 | 200 | 195 | 196 | 176 | 7.52 |
| 21 | 160 | 160 | 160 | 164 | 165 | 150 | 3.89 |
| 22 | 122 | 122 | 121 | 124 | 125 | 112 | 3.16 |
| 23 | 85 | 85 | 85 | 74 | 74 | 80 | 5.76 |
| 24 | 52 | 52 | 52 | 40 | 34 | 35 | 9.85 |
Tab.5 Verification color block color difference
| 色片编号 | 标准颜色RGB值 | 混合出颜色RGB值 | 色差 | ||||
|---|---|---|---|---|---|---|---|
| R | G | B | R | G | B | ΔE | |
| 1 | 115 | 82 | 68 | 101 | 79 | 68 | 4.52 |
| 2 | 194 | 150 | 130 | 196 | 149 | 136 | 1.95 |
| 3 | 98 | 122 | 157 | 100 | 123 | 151 | 2.07 |
| 4 | 87 | 108 | 67 | 86 | 105 | 70 | 1.58 |
| 5 | 133 | 128 | 177 | 130 | 128 | 174 | 1.34 |
| 6 | 103 | 189 | 170 | 116 | 173 | 161 | 8.11 |
| 7 | 214 | 126 | 44 | 203 | 121 | 48 | 4.36 |
| 8 | 80 | 91 | 166 | 83 | 93 | 158 | 2.89 |
| 9 | 193 | 90 | 99 | 183 | 95 | 102 | 3.97 |
| 10 | 94 | 60 | 108 | 88 | 63 | 103 | 2.73 |
| 11 | 157 | 188 | 64 | 166 | 179 | 67 | 4.73 |
| 12 | 224 | 163 | 46 | 214 | 161 | 53 | 4.03 |
| 13 | 56 | 61 | 150 | 58 | 70 | 141 | 4.72 |
| 14 | 70 | 148 | 73 | 60 | 123 | 58 | 11.56 |
| 15 | 175 | 54 | 60 | 156 | 58 | 58 | 6.41 |
| 16 | 231 | 199 | 31 | 233 | 182 | 46 | 8.09 |
| 17 | 187 | 86 | 149 | 174 | 89 | 158 | 5.21 |
| 18 | 8 | 133 | 161 | 20 | 121 | 140 | 9.31 |
| 19 | 243 | 243 | 242 | 228 | 227 | 224 | 9.70 |
| 20 | 200 | 200 | 200 | 195 | 196 | 176 | 7.52 |
| 21 | 160 | 160 | 160 | 164 | 165 | 150 | 3.89 |
| 22 | 122 | 122 | 121 | 124 | 125 | 112 | 3.16 |
| 23 | 85 | 85 | 85 | 74 | 74 | 80 | 5.76 |
| 24 | 52 | 52 | 52 | 40 | 34 | 35 | 9.85 |
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