The General Variation Models of Additive and Multiplicative Noise Removal of Color Images and Their Split Bregman Algorithms

2011 ◽  
Author(s):  
Zhenkuan Pan ◽  
Cuiping Wang ◽  
Weibo Wei ◽  
Chao Lu
Keyword(s):  
Multiplicative Noise ◽  
Noise Removal ◽  
Color Images ◽  
Split Bregman ◽  
Additive And Multiplicative Noise ◽  
General Variation ◽  
Multiplicative Noise Removal

scholarly journals Performance of the Restarted Homotopy Perturbation Method and Split Bregman Method for Multiplicative Noise Removal

2018 ◽  
Vol 2018 ◽  
pp. 1-21 ◽  
Author(s):  
Yu Du Han ◽  
Jae Heon Yun
Keyword(s):  
Linear Systems ◽  
Multiplicative Noise ◽  
Noise Removal ◽  
Test Problems ◽  
Split Bregman Method ◽  
Split Bregman ◽  
Homotopy Perturbation ◽  
Multiplicative Noise Removal ◽  
Singular Matrices ◽  
Nonlinear Denoising

In this paper, we first propose restarted homotopy perturbation methods (RHPM) for multiplicative noise removal of the RLO and AA2 models. The main difficulty in applying the RHPM to the nonlinear denoising problem is settled by using binomial series techniques. We next propose the split Bregman methods for multiplicative noise removal of the RLO and AA2 models. The difficulty in applying the split Bregman method to the nonlinear denoising problem can be handled by transforming ill-conditioned linear systems into well-conditioned linear systems using splitting techniques of singular matrices. Lastly, numerical experiments for several test problems are provided to demonstrate the efficiency and reliability of the RHPM and split Bregman methods.

Iteratively Reweighted Anisotropic-TV Based Multiplicative Noise Removal Model

2012 ◽  
Vol 38 (3) ◽  
pp. 444-451 ◽  
Author(s):  
Xu-Dong WANG ◽  
Xiang-Chu FENG ◽  
Lei-Gang HUO
Keyword(s):  
Multiplicative Noise ◽  
Noise Removal ◽  
Multiplicative Noise Removal ◽  
Removal Model
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