Acta Optica Sinica, Volume. 43, Issue 9, 0930002(2023)

Broadband Spectral Reflectance Reconstruction Based on Improved Principal Component Analysis

Hai Zhao, Hongning Li*, Hao Chen, Yaru Gao, and Xin Yang
Author Affiliations
  • School of Physics and Electronic Information, Yunnan Normal University, Kunming 650500, Yunnan, China
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    Figures & Tables(15)
    Camera imaging principle
    Device layout diagram
    SG140 color card
    Reconstructed reflectance of SG140 color card. (a) Path #16; (b) path #51; (c) path #61; (d) path #123
    RMSE histograms of reconstructed reflectance of SG140 color cards before and after the introduction of Re. (a) RMSE histogram before adding Re; (b) RMSE histogram after adding Re
    Paper dyed with different pigments. (a) Titanium dioxide; (b) ochre; (c) cyanine; (d) stone green
    Reconstructed reflectance results of dyed paper. (a) Titanium dioxide; (b) ochre; (c) cyanine; (d) stone green
    Oil painting used in the experiment
    Reconstructed reflectance of certain points on the surface of the oil painting. (a) Reflectance of point A on the surface of the oil painting; (b) reflectance of point B on the surface of the oil painting; (c) reflectance of point C on the surface of the oil painting; (d) reflectance of point D on the surface of oil painting
    RMSE histograms of samples to be tested. (a) Proposed method; (b) PCA method; (c) weighted pseudo inverse method
    Comparison of color reconstruction effect. (a) Color reconstructed by standard reflectance; (b) color reconstructed by proposed method; (c) color reconstructed by PCA method; (d) color reconstructed by weighted pseudo inverse method
    • Table 1. Accuracy comparison of reflectance reconstruction of SG140 color card

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      Table 1. Accuracy comparison of reflectance reconstruction of SG140 color card

      No.Proposed methodPCAWeighted pseudo inverse
      RMSEGFCISSDRMSEGFCISSDRMSEGFCISSD

      1

      2

      3

      4

      0.012990.999870.038620.110410.978040.287730.032680.998810.09058
      0.055050.993670.007100.077940.993280.108030.052210.997580.07285
      0.023840.999930.024860.038020.999240.020100.013540.999910.00751
      0.009610.999430.018290.032040.9925340.015100.025590.995500.02600
    • Table 2. Accuracy comparison of reflectance reconstruction of dyed paper

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      Table 2. Accuracy comparison of reflectance reconstruction of dyed paper

      No.Proposed methodPCAWeighted pseudo inverse
      RMSEGFCISSDRMSEGFCISSDRMSEGFCISSD
      0.057470.999110.054520.084320.996900.066240.054040.998270.02686
      0.021650.996770.056040.032530.994130.124490.035590.990140.08449
      0.032790.987410.028150.036360.990360.154160.030650.993240.13417
      0.043120.994660.134140.076740.997580.269270.063210.998290.22072
    • Table 3. Accuracy comparison of reflectance reconstruction of oil painting surface

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      Table 3. Accuracy comparison of reflectance reconstruction of oil painting surface

      PointProposed methodPCAWeighted pseudo inverse
      RMSEGFCISSDRMSEGFCISSDRMSEGFCISSD
      A0.009410.998190.011590.019550.996790.126350.010990.998430.03531
      B0.038010.990290.038880.120560.963330.202960.097120.959240.02711
      C0.033500.998630.022600.067420.996690.063200.072360.997010.08552
      D0.019670.996600.016550.036950.992060.129760.015190.998040.03345
    • Table 4. Color difference values of CIEDE2000 using three methods

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      Table 4. Color difference values of CIEDE2000 using three methods

      MethodPath #16Path #51Path #61Path #123
      Proposed0.99544.02801.26791.2605
      PCA5.38126.19786.66915.3960
      Weighted pseudo inverse2.09162.84032.35274.1635
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    Hai Zhao, Hongning Li, Hao Chen, Yaru Gao, Xin Yang. Broadband Spectral Reflectance Reconstruction Based on Improved Principal Component Analysis[J]. Acta Optica Sinica, 2023, 43(9): 0930002

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    Paper Information

    Category: Spectroscopy

    Received: Dec. 8, 2022

    Accepted: Jan. 11, 2023

    Published Online: May. 10, 2023

    The Author Email: Li Hongning (lihongning_ynnu@126.com)

    DOI:10.3788/AOS222119

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