Fig. 1. Structure diagram of MLS-SVR parameters adaptive optimization spectral reconstruction algorithm
Fig. 2. The relationship between the number of training samples and the average spectral error
Fig. 3. Comparative test sample RMSE
Fig. 4. Spectral reflectance curves of four reconstruction methods
Fig. 5. Color block markers for murals and painted cultural relics
Fig. 6. Schematic diagram of working mode of optical fiber spectrometer and multispectral imaging system
Fig. 7. Schematic diagram of corresponding acquisition area between optical fiber spectrometer and multispectral imaging system
Fig. 8. Flow chart of spectral reconstruction
Fig. 9. Relationship between the number of mixed training samples and the average spectral error
Fig. 10. Relationship between adaptive weight k1 and average spectral error
Fig. 11. Comparison of reconstructed spectral curve and real spectral curve of reference color block
Fig. 12. The chromaticity distribution space of CIELAB reconstructed from reference color block by each reconstruction method
Evaluation standard | Value | Reconstruction method |
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Pseudo-inverse | MSVR | MLS-SVR | SSA-MLS-SVR |
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| Mean | 0.0152 | 0.1139 | 0.0112 | 0.0084 | Min | 0.0047 | 0.0036 | 0.0039 | 0.0010 | Max | 0.0493 | 0.0380 | 0.0373 | 0.0370 | /% | Mean | 97.90 | 99.72 | 99.73 | 99.81 | Min | 86.01 | 98.83 | 98.88 | 98.99 | Max | 99.90 | 99.97 | 99.97 | 99.98 | | Mean | 5.003 | 3.175 | 3.031 | 2.509 | Min | 1.428 | 1.044 | 0.965 | 0.155 | Max | 8.388 | 7.510 | 6.564 | 5.959 |
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Table 1. Accuracy comparison of four spectral reconstruction methods
Evaluation | Area code | Reconstruction method |
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Pseudo-inverse | MSVR | MLS-SVR | SSA-MLS-SVR |
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| 1 | 0.0332 | 0.0276 | 0.0250 | 0.0121 | 2 | 0.0343 | 0.0194 | 0.0163 | 0.0140 | 3 | 0.0311 | 0.0190 | 0.0162 | 0.0085 | 4 | 0.0626 | 0.0367 | 0.0328 | 0.0155 | 5 | 0.0697 | 0.0220 | 0.0187 | 0.0087 | Mean | 0.0462 | 0.0249 | 0.0218 | 0.0018 | /% | 1 | 99.65 | 99.75 | 99.79 | 99.95 | 2 | 99.77 | 99.93 | 99.94 | 99.96 | 3 | 95.84 | 99.66 | 99.81 | 99.89 | 4 | 99.56 | 99.83 | 99.86 | 99.95 | 5 | 86.91 | 99.68 | 99.76 | 99.95 | Mean | 96.34 | 99.77 | 99.83 | 99.94 | ΔE | 1 | 4.813 | 6.040 | 5.352 | 3.375 | 2 | 5.674 | 3.101 | 2.709 | 2.038 | 3 | 9.099 | 3.669 | 2.856 | 1.786 | 4 | 9.330 | 5.348 | 4.809 | 2.693 | 5 | 16.138 | 3.489 | 2.993 | 1.664 | Mean | 9.011 | 4.329 | 3.744 | 2.311 |
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Table 2. Spectral reflectance reconstruction evaluation of 5 reference color blocks
Area code | Original | Reconstruction method |
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Pseudo-inverse | MSVR | MLS-SVR | SSA-MLS-SVR |
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1 | | | | | | 2 | | | | | | 3 | | | | | | 4 | | | | | | 5 | | | | | |
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Table 3. Comparison of color restoration of reference color blocks reconstructed by different reconstruction methods