@Article{JCM-43-540, author = {Chen , MiaoTang , YuchaoZhang , Jie and Zeng , Tieyong}, title = {Proximal ADMM Approach for Image Restoration with Mixed Poisson-Gaussian Noise}, journal = {Journal of Computational Mathematics}, year = {2024}, volume = {43}, number = {3}, pages = {540--568}, abstract = {

Image restoration based on total variation has been widely studied owing to its edge-preservation properties. In this study, we consider the total variation infimal convolution (TV-IC) image restoration model for eliminating mixed Poisson-Gaussian noise. Based on the alternating direction method of multipliers (ADMM), we propose a complete splitting proximal bilinear constraint ADMM algorithm to solve the TV-IC model. We prove the convergence of the proposed algorithm under mild conditions. In contrast with other algorithms used for solving the TV-IC model, the proposed algorithm does not involve any inner iterations, and each subproblem has a closed-form solution. Finally, numerical experimental results demonstrate the efficiency and effectiveness of the proposed algorithm.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.2212-m2022-0122}, url = {http://global-sci.org/intro/article_detail/jcm/23549.html} }