Virtual Restoration of Ancient Mold-Damaged Painting Based on 3D Convolutional Neural Network for Hyperspectral Image
Abstract
:1. Introduction
2. Materials and Methods
2.1. Materials
2.2. Spectral Characteristics of Silk-Based Mold
2.3. Data Processing before Virtual Restoration
2.4. Reconstruction of Mold Region Using 3D CNN
2.5. Quantitative Analysis
3. Results
4. Discussion
4.1. Quantitative Analysis
4.2. Classification of Pigments
5. Conclusions
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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Parameters | VNIR | SWIR |
---|---|---|
Spectral range/nm | 400–1000 | 950–2500 |
Spectral sampling/nm | 1.6 | 9.6 |
Sensor type | sCMOS | Stirling cooled MCT |
Digitalizing bit | 16 bit | 16 bit |
Slit width/µm | 20 | 25 |
Light source | halogen lamp | halogen lamp |
RMSE | MAPE | MAE | ||||||||
---|---|---|---|---|---|---|---|---|---|---|
R | G | B | R | G | B | R | G | B | ||
White material on the face | Original | 0.0648 | 0.0667 | 0.1238 | 8.4878 | 13.5048 | 29.5463 | 0.0476 | 0.0541 | 0.1183 |
Inverse MNF transformation | 0.0600 | 0.0616 | 0.1182 | 7.6019 | 12.2222 | 28.1356 | 0.0427 | 0.0489 | 0.1126 | |
Inpainting | 0.0949 | 0.0811 | 0.1348 | 11.4468 | 14.4198 | 31.4747 | 0.0642 | 0.0577 | 0.1260 | |
Criminisi | 0.0882 | 0.0731 | 0.1305 | 10.1655 | 11.9957 | 29.2393 | 0.0570 | 0.0480 | 0.1170 | |
3D CNN | 0.0503 | 0.0510 | 0.0989 | 6.3177 | 9.8145 | 22.4118 | 0.0355 | 0.0393 | 0.0897 | |
White material on hand | Original | 0.0799 | 0.0868 | 0.0668 | 9.8863 | 14.7794 | 14.0087 | 0.0592 | 0.0664 | 0.0503 |
Inverse MNF transformation | 0.0722 | 0.0790 | 0.0594 | 8.8873 | 13.4263 | 12.3301 | 0.0532 | 0.0604 | 0.0442 | |
Inpainting | 0.0756 | 0.0631 | 0.0559 | 7.6091 | 9.2662 | 10.4840 | 0.0456 | 0.0417 | 0.0376 | |
Criminisi | 0.1130 | 0.0908 | 0.0792 | 9.9254 | 11.8401 | 13.8018 | 0.0594 | 0.0532 | 0.0495 | |
3D CNN | 0.0576 | 0.0477 | 0.0425 | 6.9609 | 7.9137 | 8.9051 | 0.0417 | 0.0356 | 0.0319 |
RMSE | MAPE | MAE | ||||||||
---|---|---|---|---|---|---|---|---|---|---|
R | G | B | R | G | B | R | G | B | ||
Light red material | Original | 0.0626 | 0.0517 | 0.0316 | 8.6691 | 13.3147 | 11.8176 | 0.0493 | 0.0423 | 0.0260 |
Inverse MNF transformation | 0.0433 | 0.0328 | 0.0254 | 6.0930 | 8.5844 | 9.3905 | 0.0347 | 0.0272 | 0.0207 | |
Inpainting | 0.0361 | 0.0286 | 0.0235 | 4.8210 | 6.9725 | 8.3940 | 0.0274 | 0.0221 | 0.0185 | |
Criminisi | 0.0343 | 0.0288 | 0.0232 | 4.6273 | 7.3410 | 8.5941 | 0.0263 | 0.0233 | 0.0189 | |
3D CNN | 0.0383 | 0.0337 | 0.0276 | 5.1616 | 8.2030 | 10.0719 | 0.0294 | 0.0260 | 0.0222 | |
Crimson material | Original | 0.0845 | 0.0565 | 0.0302 | 12.6938 | 17.7171 | 13.3757 | 0.0650 | 0.0459 | 0.0239 |
Inverse MNF transformation | 0.0548 | 0.0415 | 0.0342 | 8.3783 | 12.9686 | 15.1888 | 0.0429 | 0.0336 | 0.0271 | |
Inpainting | 0.0590 | 0.0385 | 0.0239 | 8.2551 | 11.6485 | 10.7408 | 0.0423 | 0.0301 | 0.0192 | |
Criminisi | 0.0585 | 0.0511 | 0.0359 | 9.0721 | 16.4108 | 16.3552 | 0.0465 | 0.0425 | 0.0292 | |
3D CNN | 0.0547 | 0.0374 | 0.0242 | 8.1121 | 11.1807 | 10.0496 | 0.0416 | 0.0289 | 0.0179 |
RMSE | MAPE | MAE | ||||||||
---|---|---|---|---|---|---|---|---|---|---|
R | G | B | R | G | B | R | G | B | ||
Brown background | Original | 0.0983 | 0.1111 | 0.0949 | 17.5595 | 26.6170 | 27.2211 | 0.0766 | 0.0884 | 0.0738 |
Inverse MNF transformation | 0.0839 | 0.0766 | 0.0766 | 14.9242 | 18.2449 | 22.2645 | 0.0651 | 0.0606 | 0.0603 | |
Inpainting | 0.1195 | 0.1052 | 0.0927 | 19.3230 | 22.8916 | 25.3922 | 0.0843 | 0.0760 | 0.0688 | |
Criminisi | 0.1178 | 0.1032 | 0.0957 | 19.9626 | 23.4313 | 27.1039 | 0.0871 | 0.0778 | 0.0735 | |
3D CNN | 0.0776 | 0.0739 | 0.0832 | 13.1059 | 16.2916 | 23.2589 | 0.0572 | 0.0541 | 0.0630 |
Class | Original | Inverse MNF Transformation | Inpainting | Criminisi | 3D CNN | |||||
---|---|---|---|---|---|---|---|---|---|---|
Prod. Accuracy (%) | User. Accuracy (%) | Prod. Accuracy (%) | User. Accuracy (%) | Prod. Accuracy (%) | User. Accuracy (%) | Prod. Accuracy (%) | User. Accuracy (%) | Prod. Accuracy (%) | User. Accuracy (%) | |
Region1 Lady’s picture | ||||||||||
Red | 98.33 | 100 | 98.33 | 100 | 98.33 | 100 | 98.33 | 100 | 96.67 | 100 |
Black | 93.33 | 93.33 | 95 | 93.44 | 91.67 | 91.67 | 91.67 | 91.67 | 98.33 | 96.72 |
Light Red | 59.26 | 96.97 | 51.67 | 96.88 | 55 | 100 | 55 | 100 | 63.33 | 100 |
Blue | 98 | 92.45 | 98 | 98 | 98 | 94.23 | 98 | 94.23 | 100 | 90.91 |
White | 84.13 | 70.67 | 85.29 | 67.44 | 86.76 | 70.24 | 82.35 | 69.14 | 88.24 | 75 |
Cyan | 90 | 88.24 | 96 | 90.57 | 92 | 86.79 | 92 | 86.79 | 88 | 86.27 |
Yellow | 92 | 85.19 | 92 | 83.64 | 92 | 85.19 | 92 | 85.19 | 92 | 88.46 |
Brown | 94 | 90.38 | 92 | 88.46 | 94 | 88.68 | 94 | 83.93 | 92 | 86.79 |
Overall Accuracy | 88.56% | 87.95% | 87.95% | 87.28% | 89.51% | |||||
Kappa Coefficient | 0.87 | 0.86 | 0.86 | 0.85 | 0.88 | |||||
Region2 Clothes’ picture | ||||||||||
Red | 100 | 90.48 | 100 | 82.19 | 100 | 77.92 | 100 | 77.92 | 100 | 85.71 |
Deep Red | 100 | 100 | 96.67 | 100 | 96.67 | 100 | 96.67 | 100 | 96.67 | 100 |
White | 92.5 | 97.37 | 97.5 | 92.86 | 92.5 | 100 | 92.5 | 100 | 92.5 | 100 |
Black | 87.5 | 94.59 | 92.5 | 97.37 | 80 | 96.97 | 80 | 96.97 | 90 | 97.3 |
Yellow | 90 | 100 | 90 | 100 | 87.5 | 100 | 87.5 | 100 | 90 | 100 |
Offwhite | 95 | 95 | 88.33 | 98.15 | 95 | 96.61 | 95 | 96.61 | 93.33 | 94.92 |
Cyan | 90 | 94.74 | 90 | 100 | 90 | 85.71 | 90 | 85.71 | 90 | 97.3 |
Brown | 90 | 79.41 | 93.33 | 83.58 | 91.67 | 83.33 | 91.67 | 83.33 | 91.67 | 79.71 |
Black red | 98.08 | 91.07 | 90 | 88.52 | 90 | 88.52 | 91.67 | 88.71 | 98.33 | 90.77 |
Dark teal | 93.33 | 93.33 | 93.33 | 93.33 | 93.33 | 93.33 | 93.33 | 93.33 | 93.33 | 93.33 |
Gray | 76.67 | 86.79 | 78.33 | 85.45 | 76.67 | 88.46 | 76.67 | 90.2 | 76.67 | 88.46 |
Overall Accuracy | 92.25% | 91.72% | 90.69% | 90.86% | 92.24% | |||||
Kappa Coefficient | 0.91 | 0.91 | 0.90 | 0.90 | 0.91 | |||||
Region3 Branch’s picture | ||||||||||
Red | 90.16 | 98.21 | 95.08 | 89.23 | 96.72 | 83.1 | 98.36 | 81.08 | 91.8 | 98.25 |
Gray | 98.33 | 93.65 | 98.33 | 96.72 | 98.33 | 89.39 | 98.33 | 95.16 | 98.33 | 93.65 |
White | 95 | 100 | 93.33 | 100 | 95 | 100 | 95 | 100 | 93.33 | 100 |
Black | 91.67 | 94.83 | 93.33 | 90.32 | 88.33 | 100 | 93.33 | 96.55 | 91.67 | 100 |
Brown | 88.33 | 77.94 | 96.67 | 87.88 | 95 | 79.17 | 88.33 | 81.54 | 95 | 89.06 |
Background | 94.12 | 87.27 | 100 | 92.31 | 93.33 | 91.8 | 95 | 91.94 | 96.67 | 86.57 |
Light gray | 60 | 62.07 | 76.67 | 82.14 | 43.33 | 72.22 | 46.67 | 60.87 | 80 | 72.73 |
Cyan | 96 | 100 | 88 | 100 | 96 | 100 | 96 | 100 | 96 | 100 |
Yellow | 93.33 | 100 | 80 | 100 | 83.33 | 100 | 73.33 | 100 | 93.33 | 100 |
Overall Accuracy | 91.13% | 93.00% | 90.66% | 90.45% | 93.63% | |||||
Kappa Coefficient | 0.90 | 0.92 | 0.89 | 0.89 | 0.93 |
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Wang, S.; Cen, Y.; Qu, L.; Li, G.; Chen, Y.; Zhang, L. Virtual Restoration of Ancient Mold-Damaged Painting Based on 3D Convolutional Neural Network for Hyperspectral Image. Remote Sens. 2024, 16, 2882. https://doi.org/10.3390/rs16162882
Wang S, Cen Y, Qu L, Li G, Chen Y, Zhang L. Virtual Restoration of Ancient Mold-Damaged Painting Based on 3D Convolutional Neural Network for Hyperspectral Image. Remote Sensing. 2024; 16(16):2882. https://doi.org/10.3390/rs16162882
Chicago/Turabian StyleWang, Sa, Yi Cen, Liang Qu, Guanghua Li, Yao Chen, and Lifu Zhang. 2024. "Virtual Restoration of Ancient Mold-Damaged Painting Based on 3D Convolutional Neural Network for Hyperspectral Image" Remote Sensing 16, no. 16: 2882. https://doi.org/10.3390/rs16162882
APA StyleWang, S., Cen, Y., Qu, L., Li, G., Chen, Y., & Zhang, L. (2024). Virtual Restoration of Ancient Mold-Damaged Painting Based on 3D Convolutional Neural Network for Hyperspectral Image. Remote Sensing, 16(16), 2882. https://doi.org/10.3390/rs16162882