Composite analysis‐based model for image restoration solved by alternating direction method of multipliers fast iterative shrinkage‐thresholding algorithm

2016 ◽  
Vol 52 (3) ◽  
pp. 195-196 ◽  
Author(s):  
Zhengwei Shen ◽  
Lishuang Cheng
Keyword(s):  
Image Restoration ◽  
Alternating Direction Method ◽  
Method Of Multipliers ◽  
Composite Analysis ◽  
Alternating Direction ◽  
Iterative Shrinkage ◽  
Thresholding Algorithm ◽  
Iterative Shrinkage Thresholding

scholarly journals Inertial s-iteration forward-backward algorithm for a family of nonexpansive operators with applications to image restoration problems

Filomat ◽  
2021 ◽  
Vol 35 (3) ◽  
pp. 771-782
Author(s):  
Limpapat Bussaban ◽  
Attapol Kaewkhao ◽  
Suthep Suantai
Keyword(s):  
Image Restoration ◽  
Fixed Point Theory ◽  
Point Theory ◽  
Gradient Algorithm ◽  
Special Technique ◽  
Operator Problem ◽  
Iterative Shrinkage ◽  
Thresholding Algorithm ◽  
Selection Operator ◽  
Iterative Shrinkage Thresholding

Image restoration is an important branch of image processing which has been studied extensively while there are several methods to solve this problem by many authors with the challenges of computational speed and accuracy of algorithms. In this paper, we present two methods, called ?Inertial S-iteration forward-backward algorithm (ISFBA)? and ?A fast iterative shrinkage-thresholding algorithm-Siteration (FISTA-S)?, for finding an approximate solution of least absolute shrinkage and selection operator problem by using a special technique in fixed point theory and prove weak convergence of the proposed methods under some suitable conditions. Moreover, we apply our main results to solve image restoration problems. It is shown by some numerical examples that our algorithms have a good behavior compared with forward-backward algorithm (FBA), a new accelerated proximal gradient algorithm (nAGA) and a fast iterative shrinkage-thresholding algorithm (FISTA).

Sign in / Sign up

Export Citation Format

Share Document