Blind image deconvolution through Bezoutians

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• 作者：Gema M. Diaz-Toca^a ; ^{gemadiaz@um.es} ; Skander Belhaj^b ; ^c ; ^{skander.belhaj@lamsin.rnu.tn}
• 关键词：15A23 ; 15B05 ; 65Fxx
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2017
• 出版时间：1 May 2017
• 年：2017
• 卷：315
• 期：Complete
• 页码：98-106
• 全文大小：886 K
• 卷排序：315

文摘

In this paper, we introduce a fast algorithm for computing the univariate GCD of several polynomials (not pairwise) based on the generalized Bezout matrix by using Barnett’s method. This novel approach is devoted to presenting an algorithm that permits to solve the problem of blind image deconvolution by computing greatest common divisors (GCD) of several polynomials. Specifically, we design a specialized algorithm for computing the GCD of bivariate polynomials of blurred images which correspond to zz-transforms to recover the original image. All algorithms have been implemented in Matlab and experimental results with synthetically blurred images are included to illustrate the effectiveness of our approach.