Title
A Novel Mr Image Denoising Via Lrma And Nlss
Abstract
Nonlocal self-similarity has been proven to be a useful tool for image denoising. For MR image denois-ing, the method combining the nonlocal self-similarity with the low-rank approximation has been re-cently attracting considerable attentions, due to its favorable performance. Since the original low-rank approximation problem is difficult to be solved, the frequently used method is to use the nuclear norm minimization for the matrix low-rank approximation. However, the solution obtained by nuclear norm minimization generally deviates from the solution of the original problem. In this paper, an approach for MR image denoising is proposed by combining a novel nonlocal self-similarity scheme with a novel low-rank approximation scheme. In proposed approach, a similarity evaluation with respect to the noise is proposed in the patch matching stage. To approximate the original low-rank minimization problem, the propose approach minimizes trace-based operator at each step. Every minimization is solvable and used to approximate the original low-rank minimization. An algorithm is established for this approximation, as well. Experimental results show that the proposed approach has a superior performance, comparing with some of the low-rank approximation methods, in both the objective quality metrics and visual in-spections.(c) 2021 Elsevier B.V. All rights reserved.
Year
DOI
Venue
2021
10.1016/j.sigpro.2021.108109
SIGNAL PROCESSING
Keywords
DocType
Volume
Low-rank approximation, Image denoising, MRI, Trace of a matrix, Nonlocal self-similarity
Journal
185
ISSN
Citations 
PageRank 
0165-1684
0
0.34
References 
Authors
0
4
Name
Order
Citations
PageRank
Chen Zhen13115.05
Yuli Fu220029.90
Youjun Xiang392.49
Yinhao Zhu400.34