scholarly journals Analysis Sparse Representation Based on Subset Pursuit and Weighted Split Bregman Iteration Algorithm

10.5772/61543 ◽  
2015 ◽  
Vol 12 (10) ◽  
pp. 149 ◽  
Author(s):  
Ye Zhang ◽  
Tenglong Yu ◽  
Wenquan Zhang
Keyword(s):  
Sparse Representation ◽  
Iteration Algorithm ◽  
Bregman Iteration ◽  
Split Bregman ◽  
Split Bregman Iteration

scholarly journals Split Bregman Iteration Algorithm for Image Deblurring Using Fourth-Order Total Bounded Variation Regularization Model

2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
Yi Xu ◽  
Ting-Zhu Huang ◽  
Jun Liu ◽  
Xiao-Guang Lv
Keyword(s):  
Bounded Variation ◽  
Fourth Order ◽  
Convergence Property ◽  
Iteration Algorithm ◽  
Bregman Iteration ◽  
Split Bregman ◽  
Split Bregman Iteration ◽  
Proposed Model ◽  
Optimum Solution

We propose a fourth-order total bounded variation regularization model which could reduce undesirable effects effectively. Based on this model, we introduce an improved split Bregman iteration algorithm to obtain the optimum solution. The convergence property of our algorithm is provided. Numerical experiments show the more excellent visual quality of the proposed model compared with the second-order total bounded variation model which is proposed by Liu and Huang (2010).

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