Author Affiliations
1 School of Information and Control Engineering, Xi'an University of Architecture and Technology, Xi'an, Shaanxi 710055, China1 School of Management, Xi'an University of Architecture and Technology, Xi'an, Shaanxi 710055, China2 School of Information and Control Engineering, Xi'an University of Architecture and Technology, Xi'an, Shaanxi 710055, Chinashow less
Fig. 1. Multispectral camera
Fig. 2. Transmissivity curve of filter
Fig. 3. Relationship between training sample number and mean RMSE of reconstructed spectral reflectance
Fig. 4. Regularization parameters obtained by L-curve method. (a) Training result 1; (b) training result 2
Fig. 5. RMSE of 20 testing samples with three reconstruction methods
Fig. 6. Spectral reflectance curves with three reconstruction methods. (a) xISSD=0.022; (b) xISSD=0.121; (c) xISSD=0.351
Fig. 7. Mural referential color patches and multispectral images. (a) Markings of mural referential color patches; (b) multispectral images with 11 channels
Fig. 8. CIELAB chromaticity distribution space of mural referential color patches obtained by different reconstruction methods
Fig. 9. Reconstructed and measured spectral reflectance curves of six referential color patches of mural. (a) Color patch 1; (b) color patch 2; (c) color patch 3; (d) color patch 4; (e) color patch 5; (f) color patch 6
k | CVC /% | Mean ΔE | Mean RMSE |
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5 | 98.87 | 0.717 | 0.082 | 6 | 99.95 | 0.430 | 0.058 | 7 | 99.89 | 0.424 | 0.042 | 8 | 99.99 | 0.263 | 0.033 |
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Table 1. CVC, color difference, and RMSE with different principal component numbers
n | Mean ΔE | Mean RMSE |
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6 | 0.482 | 0.032 | 9 | 0.383 | 0.023 | 12 | 0.361 | 0.020 | 14 | 0.345 | 0.020 | 18 | 0.341 | 0.019 |
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Table 2. Color difference and RMSE with different polynomial term numbers
Method | RMSE | GFC /% | ISSD | ΔE |
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Mean | Minimum | Maximum | Mean | Minimum | Maximum | Mean | Minimum | Maximum | Mean | Minimum | Maximum |
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PCA | 0.058 | 0.012 | 0.106 | 98.20 | 93.53 | 99.63 | 0.146 | 0.064 | 0.637 | 0.430 | 0.172 | 0.931 | PRE | 0.020 | 0.011 | 0.042 | 98.17 | 92.53 | 99.74 | 0.160 | 0.021 | 0.556 | 0.361 | 0.064 | 0.766 | DRRP | 0.018 | 0.007 | 0.032 | 99.51 | 98.81 | 99.96 | 0.106 | 0.011 | 0.359 | 0.283 | 0.060 | 0.412 |
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Table 3. Spectral reflectance reconstruction accuracies of PCA, PRE and DRRP methods
Number of referentialcolor patches | DRRP method | PRE method | PCA method |
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RMSE | GFC /% | ISSD | RMSE | GFC /% | ISSD | RMSE | GFC /% | ISSD |
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1 | 0.0123 | 99.63 | 0.0931 | 0.0145 | 98.43 | 0.1429 | 0.0562 | 97.78 | 0.1325 | 2 | 0.0112 | 99.21 | 0.1568 | 0.0178 | 98.15 | 0.2047 | 0.0593 | 97.01 | 0.1930 | 3 | 0.0317 | 99.18 | 0.1613 | 0.0347 | 98.07 | 0.2163 | 0.0712 | 96.81 | 0.2013 | 4 | 0.0194 | 99.42 | 0.1236 | 0.0239 | 98.21 | 0.1745 | 0.0674 | 97.23 | 0.1701 | 5 | 0.0376 | 99.09 | 0.1702 | 0.0462 | 98.82 | 0.2213 | 0.0820 | 97.86 | 0.2113 | 6 | 0.0115 | 99.78 | 0.1072 | 0.0177 | 98.65 | 0.1586 | 0.0489 | 98.01 | 0.1489 | Mean | 0.0206 | 99.39 | 0.1353 | 0.0258 | 98.39 | 0.1864 | 0.0675 | 97.45 | 0.1761 |
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Table 4. Spectral reflectance reconstruction accuracies of six referential color patches of mural