Study of spectral reflectance reconstruction based on regularization matrix R method

Ke Wang

doi:10.1007/s10586-017-1217-5

Study of spectral reflectance reconstruction based on regularization matrix R method

2017-10-04

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DOI：10.1007/s10586-017-1217-5

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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.

Keywords:

Spectral reflectance reconstruction

Matrix R

Tikhonov regularization

Study of spectral reflectance reconstruction based on regularization matrix R method

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