Multilevel algorithm for a Poisson noise removal model with total-variation regularization

2007 ◽  
Vol 84 (8) ◽  
pp. 1183-1198 ◽  
Author(s):  
Raymond H. Chan ◽  
Ke Chen
Keyword(s):  
Total Variation ◽  
Noise Removal ◽  
Poisson Noise ◽  
Total Variation Regularization ◽  
Multilevel Algorithm ◽  
Removal Model

Iterative reweighted total generalized variation based Poisson noise removal model

2013 ◽  
Vol 223 ◽  
pp. 264-277 ◽  
Author(s):  
Xu-dong Wang ◽  
Xiang-chu Feng ◽  
Wei-wei Wang ◽  
Wen-juan Zhang
Keyword(s):  
Noise Removal ◽  
Poisson Noise ◽  
Total Generalized Variation ◽  
Generalized Variation ◽  
Removal Model

scholarly journals Multiplicative Noise Removal Based on the Linear Alternating Direction Method for a Hybrid Variational Model

2017 ◽  
Vol 2017 ◽  
pp. 1-10
Author(s):  
Yan Hao ◽  
Jianlou Xu ◽  
Fengyun Zhang ◽  
Xiaobo Zhang
Keyword(s):  
Total Variation ◽  
Multiplicative Noise ◽  
Splitting Method ◽  
Noise Removal ◽  
Variational Model ◽  
Total Variation Regularization ◽  
Alternating Direction ◽  
Staircase Effect ◽  
Multiplicative Noise Removal ◽  
Alternative Direction Method

To preserve the edge, multiplicative noise removal models based on the total variation regularization have been widely studied, but they suffer from the staircase effect. In this paper, to preserve the edge and reduce the staircase effect, we develop a hybrid variational model based on the variable splitting method for multiplicative noise removal; the new model is a strictly convex objective function which contains the total variation regularization and a modified regularization term. We use the linear alternative direction method to find the minimal solution and also give the convergence proof of the proposed algorithm. Experimental results verify that the proposed model can obtain the better results for removing the multiplicative noise compared with the recent method.

An adaptive spatial–spectral total variation approach for Poisson noise removal in hyperspectral images

2015 ◽  
Vol 10 (3) ◽  
pp. 447-454 ◽  
Author(s):  
Alamin Mansouri ◽  
Ferdinand Deger ◽  
Marius Pedersen ◽  
Jon Y. Hardeberg ◽  
Yvon Voisin
Keyword(s):  
Total Variation ◽  
Noise Removal ◽  
Poisson Noise ◽  
Hyperspectral Images ◽  
Variation Approach
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