Kronecker product approximation for the total variation regularization in image restoration

Universitatea din Craiova. Analele. Seria: Matematica, Informatica

article

Abdeslem Hafid Bentbib¹  Abderrahman Bouhamidi²  Karim Kreit³ 

[1] Faculty of Sciences and Technics ,(LAMAI Laboratory), Cadi Ayyad university;University of Littoral;Cadi Ayyad University

关键词: Total variation;    inverse problem;    image restoration;    imageprocessing;    regularization;    global GMRES;    L-curve and Kronecker product approximation;   

DOI  :  10.52846/ami.v49i1.1511

学科分类：社会科学、人文和艺术（综合）

来源: Universitatea din Craiova / University of Craiova

【 摘 要 】

In this paper, we propose a new algorithm to restore blurred and noisy images based on the total variation regularization where the discrete associated Euler-Lagrange problem is solved by exploiting the structure of the matrices and transforming the initial problem to a generalized Sylvester linear matrix equation by using a special Kronecker product approximation. Afterwards, global Krylov subspace methods are used to solve the linear matrix equation. Numerical experiments are given to illustrate the effectiveness of the proposed method.

【 授权许可】

Unknown