• Optics and Precision Engineering
  • Vol. 29, Issue 10, 2444 (2021)
Chi-peng CAO1, Hui-qin WANG1,*, Ke WANG1, Zhan WANG2..., Gang ZHANG2 and Tao MA2|Show fewer author(s)
Author Affiliations
  • 1School of Information and Control Engineering, Xi'an University of Architecture and Technology, Xi'an70055, China
  • 2Shanxi Provincial Institute of Cultural Relics Protection, Xi’an710075, China
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    DOI: 10.37188/OPE.20212910.2444 Cite this Article
    Chi-peng CAO, Hui-qin WANG, Ke WANG, Zhan WANG, Gang ZHANG, Tao MA. Intelligent evaluation of grotto surface weathering based on spectral chromatic aberration and principal component feature fusion[J]. Optics and Precision Engineering, 2021, 29(10): 2444 Copy Citation Text show less

    Abstract

    To overcome the problem of a single spectral feature not finely characterizing the type and degree of weathering in the complex weathering area on a grotto surface, this paper proposes an intelligent quantitative evaluation method for grotto surface weathering based on spectral analysis and colorimetric theory. First, we reconstruct the reflection spectrum of the multispectral image of the grotto surface, calculate the color difference between each pixel and reference point, and use the principal component analysis method to extract the principal component features from the multispectral image data. Then, we fuse the spectral color difference and principal component features of the weathering on the grotto surface to characterize different types and degrees of weathering. Finally, a random forest classifier is used to intelligently evaluate the weathering degree of each pixel in the grotto surface multispectral image. Experiments show that the method of fusing spectral chromatic aberration and principal component features performs better compared with a single spectral feature in characterizing different types and degrees of weathering in complex weathering areas. The evaluation accuracy of the overall grotto surface weathering degree is 99.86%, with a Kappa coefficient of 0.99. The proposed method can effectively realize a refined characterization of complex weathered areas.
    R(xi)=xi(ai-ai*)·Kcp(xi,y)+b(1)

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    Kcp(xi,y)=1x-xi2/σ+1·xTxi+1d(2)

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    CIE1931XYZ=X=k380780φ(λ)·x¯(λ)ΔλY=k380780φ(λ)·y¯(λ)ΔλZ=k380780φ(λ)·z¯(λ)Δλ(3)

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    CIE1976L*a*b*=L*=116fYYN-16a*=500fXXN-fYYNb*=200fYYN-fZZN(4)

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    fXXN=XXN13                      XXN>0.008 8567.787XXN+16116      XXN0.008 856(5)

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    fYYN=YYN13                      YYN>0.0088567.787YYN+16116      YYN0.008856(6)

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    f(ZZN)=(ZZN)13                      ZZN>0.008 8567.787(ZZN)+16116      ZZN0.008 856(7)

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    ΔEi=(L0*-Li*)2+(a0*-ai*)2+(b0*-bi*)2   (i=1,2,,n)(8)

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    Cov=1i-1i=116(xij-xn¯)(xij-xn¯)T(9)

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    det(λnI-Cov)=0(10)

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    (λnI-Cov)An=0(11)

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    Y=TX(12)

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    Chi-peng CAO, Hui-qin WANG, Ke WANG, Zhan WANG, Gang ZHANG, Tao MA. Intelligent evaluation of grotto surface weathering based on spectral chromatic aberration and principal component feature fusion[J]. Optics and Precision Engineering, 2021, 29(10): 2444
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