On the Convergence of Primal–Dual Hybrid Gradient Algorithms for Total Variation Image Restoration

2012 ◽  
Vol 44 (3) ◽  
pp. 236-253 ◽  
Author(s):  
Silvia Bonettini ◽  
Valeria Ruggiero
2019 ◽  
Vol 13 ◽  
pp. 174830181983305 ◽  
Author(s):  
Yafeng Yang ◽  
Donghong Zhao

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.


2019 ◽  
Vol 145 ◽  
pp. 145-158
Author(s):  
Benxin Zhang ◽  
Zhibin Zhu ◽  
Chuanpei Xu

1999 ◽  
Vol 20 (6) ◽  
pp. 1964-1977 ◽  
Author(s):  
Tony F. Chan ◽  
Gene H. Golub ◽  
Pep Mulet

2015 ◽  
Vol 59 (1) ◽  
pp. 141-160 ◽  
Author(s):  
YouWei Wen ◽  
Raymond Honfu Chan ◽  
TieYong Zeng

2015 ◽  
Vol 68 (1) ◽  
pp. 273-302 ◽  
Author(s):  
Chang-Ock Lee ◽  
Jong Ho Lee ◽  
Hyenkyun Woo ◽  
Sangwoon Yun

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