Paper Info
Title
Multiplicative Noise Removal: Nonlocal Low-Rank Model and Its Proximal Alternating Reweighted Minimization Algorithm
Abstract
The goal of this paper is to develop a novel numerical method for efficient multiplicative noise removal. The nonlocal self-similarity of natural images implies that the matrices formed by their nonlocal similar patches are low-rank. By exploiting this low-rank prior with application to multiplicative noise removal, we propose a nonlocal low-rank model for this task and develop a proximal alternating reweighted minimization (PARM) algorithm to solve the optimization problem resulting from the model. Specifically, we utilize a generalized nonconvex surrogate of the rank function to regularize the patch matrices and develop a new nonlocal low-rank model, which is a nonconvex non-smooth optimization problem having a patchwise data fidelity and a generalized nonlocal low-rank regularization term. To solve this optimization problem, we propose the PARM algorithm, which has a proximal alternating scheme with a reweighted approximation of its subproblem. A theoretical analysis of the proposed PARM algorithm is conducted to guarantee its global convergence to a critical point. Numerical experiments demonstrate that the proposed method for multiplicative noise removal significantly outperforms existing methods, such as the benchmark SAR-BM3D method, in terms of the visual quality of the denoised images, and of the peak-signal-to-noise ratio (PSNR) and the structural similarity index measure (SSIM) values.
Year
DOI
Venue
2020
10.1137/20M1313167
SIAM JOURNAL ON IMAGING SCIENCES
Keywords
DocType
Volume
multiplicative noise removal,nonlocal low-rank regularization,image restoration
Journal
13
Issue
ISSN
Citations 
3
1936-4954
0
PageRank 
References 
Authors
0.34
0
5
Name
Order
Citations
PageRank
Liu Xiaoxia100.34
Jian Lu2304.04
Lixin Shen343742.76
Chen Xu426929.36
Yuesheng Xu555975.46