Title
Denoising 3-D magnitude magnetic resonance images based on weighted nuclear norm minimization.
Abstract
•A novel denoising algorithm is developed for 3-D magnetic resonance images.•This algorithm is based on low-rank matrix approximation (LRMA).•The closed-form solution of LRMA is got from weighted nuclear norm minimization.•The solution shrinks different singular value with a different threshold.•A non local means filter is used as a postprocessing step for better visual effect.
Year
DOI
Venue
2017
10.1016/j.bspc.2017.01.016
Biomedical Signal Processing and Control
Keywords
Field
DocType
Non-local similarity,Low-rank matrix approximation,Weighted nuclear norm minimization,MRI denoising
Noise reduction,Magnitude (mathematics),Singular value decomposition,Singular value,Pattern recognition,Matrix (mathematics),Non-local means,Regularization (mathematics),Artificial intelligence,Lexicographical order,Mathematics
Journal
Volume
ISSN
Citations 
34
1746-8094
2
PageRank 
References 
Authors
0.35
30
6
Name
Order
Citations
PageRank
Yi Xia1315.65
Qingwei Gao2265.68
Nan Cheng350.77
Yixiang Lu4445.93
Dexiang Zhang5466.94
Qiang Ye613818.73