Study of spectral reflectance reconstruction based on regularization matrix R method
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In order to solve the ill-posed problem in the process of reconstructing the spectral reflectance of the traditional matrix R method, a regularization matrix R method was proposed in this paper. Through analyzing the ill-posed equation of matrix R to reconstruct the spectral reflectance, the Tikhonov regularization method was researched to restrict the ill-posed problem to solve the Moore-Penrose pseudo inverse matrix. The L-curve method was used to obtain the optimal regularization parameter by training samples data in order to effectively restrict the ill-posed situation which was caused by the equation solving of spectral reconstruction. The experimental results verified that the proposed regularization matrix R method had higher spectral and chromatic accuracy of reconstructed spectrum than traditional matrix R method. At the same time, the proposed regularization matrix R method achieved good performance for color reproduction of real mural in practical application.
KeywordsSpectral reflectance reconstruction Matrix R Tikhonov regularization
The work has been supported by the Youth Fund of National Natural Science Foundation, China (Grant Nos. 51404182, 61701388), the International Science and Technology Cooperation Project of the Science and Technology Department of Shaanxi Province, China (Grant No. 2017KW-036), the Special fund of the Education Department of Shaanxi Province, China (Grant No. 17JK0431), the Soft Science Project of Science and Technology Bureau of Xi’an, China [Grant No. 2016043SF/RK06(3)], the Science and Technology Project of Science and Technology Bureau of Xi’an Beilin District, China (Grant Nos. GX1605, GX1606), and the Youth Science and Technology Fund Project of Xi’an University of Architecture And Technology, China (Grant No. QN1628).
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