scholarly journals A new nonlocal variational bi-regularized image restoration model via split Bregman method

2015 ◽  
Vol 2015 (1) ◽  
Author(s):  
Dong-Huan Jiang ◽  
Xue Tan ◽  
Yong-Quan Liang ◽  
Sheng Fang
Keyword(s):  
Image Restoration ◽  
Split Bregman Method ◽  
Split Bregman ◽  
Restoration Model

Split Bregman method based level set formulations for segmentation and correction with application to MR images and color images

2019 ◽  
Vol 57 ◽  
pp. 50-67 ◽  
Author(s):  
Yunyun Yang ◽  
Dongcai Tian ◽  
Wenjing Jia ◽  
Xiu Shu ◽  
Boying Wu
Keyword(s):  
Level Set ◽  
Color Images ◽  
Mr Images ◽  
Split Bregman Method ◽  
Split Bregman

scholarly journals Fast Algorithms for the Anisotropic LLT Model in Image Denoising

2011 ◽  
Vol 1 (3) ◽  
pp. 264-283 ◽  
Author(s):  
Zhi-Feng Pang ◽  
Li-Lian Wang ◽  
Yu-Fei Yang
Keyword(s):  
Convergence Rate ◽  
Image Denoising ◽  
Projection Method ◽  
Split Bregman Method ◽  
Split Bregman ◽  
Minimization Problems ◽  
Iterative Shrinkage ◽  
Speed Up ◽  
Thresholding Algorithm ◽  
Iterative Shrinkage Thresholding

AbstractIn this paper, we propose a new projection method for solving a general minimization problems with twoL1-regularization terms for image denoising. It is related to the split Bregman method, but it avoids solving PDEs in the iteration. We employ the fast iterative shrinkage-thresholding algorithm (FISTA) to speed up the proposed method to a convergence rateO(k−2). We also show the convergence of the algorithms. Finally, we apply the methods to the anisotropic Lysaker, Lundervold and Tai (LLT) model and demonstrate their efficiency.

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