• Acta Optica Sinica
  • Vol. 40, Issue 5, 0530001 (2020)
Lei Yang1, Huiqin Wang1、*, Ke Wang1, and Zhan Wang2
Author Affiliations
  • 1College of Information and Control Engineering, Xi′an University of Architecture and Technology, Xi′an, Shaanxi 710055, China
  • 2Shaanxi Provincial Institute of Cultural Relics Protection, Xi′an, Shaanxi 710075, China
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    DOI: 10.3788/AOS202040.0530001 Cite this Article Set citation alerts
    Lei Yang, Huiqin Wang, Ke Wang, Zhan Wang. Spectral Information Unmixing of Mixed Pigment Based on Clustering Optimization FastICA Algorithm[J]. Acta Optica Sinica, 2020, 40(5): 0530001 Copy Citation Text show less
    Flow chart of the FC-FastICA algorithm
    Fig. 1. Flow chart of the FC-FastICA algorithm
    Flow chart of experimental system
    Fig. 2. Flow chart of experimental system
    Experimental equipment of spectral reflectance acquisition system
    Fig. 3. Experimental equipment of spectral reflectance acquisition system
    Spectral reflectance of pigment. (a) Primary reflectance of Chorme and Orpiment; (b) mixed reflectance of Chorme and Orpiment; (c) primary reflectance of Vermillion and Minium; (d) mixed reflectance of Vermillion and Minium; (e) primary reflectance of Vermillion and Azurite; (f) mixed reflectance of Vermillion and Azurite
    Fig. 4. Spectral reflectance of pigment. (a) Primary reflectance of Chorme and Orpiment; (b) mixed reflectance of Chorme and Orpiment; (c) primary reflectance of Vermillion and Minium; (d) mixed reflectance of Vermillion and Minium; (e) primary reflectance of Vermillion and Azurite; (f) mixed reflectance of Vermillion and Azurite
    K/S value of the spectral reflectance of mixed pigment. (a) K/S value of the reflectance of mixed pigment with Chorme and Orpiment; (b) K/S value of the reflectance of mixed pigment with Vermillion and Minium; (c) K/S value of the reflectance of mixed pigment with Vermillion and Azurite
    Fig. 5. K/S value of the spectral reflectance of mixed pigment. (a) K/S value of the reflectance of mixed pigment with Chorme and Orpiment; (b) K/S value of the reflectance of mixed pigment with Vermillion and Minium; (c) K/S value of the reflectance of mixed pigment with Vermillion and Azurite
    Contrast chart of de-mixing results of Chorme and Orpiment mixed pigment. (a) Contrast chart of the K/S value of the de-mixing with Chorme; (b) contrast chart of the K/S value of the de-mixing with Orpiment
    Fig. 6. Contrast chart of de-mixing results of Chorme and Orpiment mixed pigment. (a) Contrast chart of the K/S value of the de-mixing with Chorme; (b) contrast chart of the K/S value of the de-mixing with Orpiment
    Contrast chart of the de-mixing results of Vermillion and Minium mixed pigment. (a) Contrast chart of the K/S value of the de-mixing with Vermillion; (b) contrast chart of the K/S value of the de-mixing with Minium
    Fig. 7. Contrast chart of the de-mixing results of Vermillion and Minium mixed pigment. (a) Contrast chart of the K/S value of the de-mixing with Vermillion; (b) contrast chart of the K/S value of the de-mixing with Minium
    Contrast chart of de-mixing results of Vermillion and Azurite mixed pigment. (a) Contrast chart of the K/S value of the de-mixing with Vermillion; (b) contrast chart of the K/S value of the de-mixing with Azurite
    Fig. 8. Contrast chart of de-mixing results of Vermillion and Azurite mixed pigment. (a) Contrast chart of the K/S value of the de-mixing with Vermillion; (b) contrast chart of the K/S value of the de-mixing with Azurite
    XRMSE of de-mixing results of two algorithms
    Fig. 9. XRMSE of de-mixing results of two algorithms
    Mixed pigment1∶51∶31∶13∶15∶1
    Table 1. Mixed pigment blocks
    MethodFastICAFC-FastICA
    XRMSEXGFC /%DSAMXRMSEXGFC /%DSAM
    Chorme0.105899.510.09910.067299.880.0485
    Orpiment0.123899.350.10750.073399.890.0478
    Vermilion10.178599.260.12160.069199.880.0484
    Minium0.179199.350.11440.037199.980.0397
    Vermilion20.178899.260.12160.112499.740.0722
    Azurite0.368296.850.25190.178898.670.1630
    Table 2. Comparison of demixing accuracy between two algorithms
    Lei Yang, Huiqin Wang, Ke Wang, Zhan Wang. Spectral Information Unmixing of Mixed Pigment Based on Clustering Optimization FastICA Algorithm[J]. Acta Optica Sinica, 2020, 40(5): 0530001
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