A simple primal–dual method for total variation image restoration

2016 ◽  
Vol 38 ◽  
pp. 814-823 ◽  
Author(s):  
Benxin Zhang ◽  
Zhibin Zhu ◽  
Shuo Wang
Keyword(s):  
Image Restoration ◽  
Total Variation ◽  
Dual Method ◽  
Primal Dual

A Nonlinear Primal-Dual Method for Total Variation-Based Image Restoration

1999 ◽  
Vol 20 (6) ◽  
pp. 1964-1977 ◽  
Author(s):  
Tony F. Chan ◽  
Gene H. Golub ◽  
Pep Mulet
Keyword(s):  
Image Restoration ◽  
Total Variation ◽  
Dual Method ◽  
Primal Dual

scholarly journals An adaptive model combining a total variation filter and a fractional-order filter for image restoration

2019 ◽  
Vol 13 ◽  
pp. 174830181983305 ◽  
Author(s):  
Yafeng Yang ◽  
Donghong Zhao
Keyword(s):  
Image Restoration ◽  
Total Variation ◽  
Fractional Order ◽  
Gradient Algorithm ◽  
Remarkable Effect ◽  
Order Filter ◽  
Model Combining ◽  
Proposed Model ◽  
Primal Dual ◽  
Image Edges

In this paper, we propose a model that combines a total variation filter with a fractional-order filter, which can unite the advantages of the two filters, and has a remarkable effect in the protection of image edges and texture details; simultaneously, the proposed model can eliminate the staircase effect. In addition, the model improves the PSNR compared with the total variation filter and the fractional-order filter when removing noise. Zhu and Chan presented the primal-dual hybrid gradient algorithm and proved that it is effective for the total variation filter. On the basis of their work, we employ the primal-dual hybrid gradient algorithm to solve the combined model in this article. The final experimental results show that the new model and algorithm are effective for image restoration.

A primal-dual multiplier method for total variation image restoration

2019 ◽  
Vol 145 ◽  
pp. 145-158
Author(s):  
Benxin Zhang ◽  
Zhibin Zhu ◽  
Chuanpei Xu
Keyword(s):  
Image Restoration ◽  
Total Variation ◽  
Multiplier Method ◽  
Primal Dual

A Primal–Dual Method for Total-Variation-Based Wavelet Domain Inpainting

2012 ◽  
Vol 21 (1) ◽  
pp. 106-114 ◽  
Author(s):  
You-Wei Wen ◽  
R. H. Chan ◽  
A. M. Yip
Keyword(s):  
Total Variation ◽  
Dual Method ◽  
Wavelet Domain ◽  
Primal Dual

scholarly journals Primal-dual algorithms for total variation based image restoration under Poisson noise

2015 ◽  
Vol 59 (1) ◽  
pp. 141-160 ◽  
Author(s):  
YouWei Wen ◽  
Raymond Honfu Chan ◽  
TieYong Zeng
Keyword(s):  
Image Restoration ◽  
Total Variation ◽  
Poisson Noise ◽  
Primal Dual
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