Title
Accelerated Split Bregman Method for Image Compressive Sensing Recovery under Sparse Representation.
Abstract
Compared with traditional patch-based sparse representation, recent studies have concluded that group-based sparse representation (GSR) can simultaneously enforce the intrinsic local sparsity and nonlocal self-similarity of images within a unified framework. This article investigates an accelerated split Bregman method (SBM) that is based on GSR which exploits image compressive sensing (CS). The computational efficiency of accelerated SBM for the measurement matrix of a partial Fourier matrix can be further improved by the introduction of a fast Fourier transform (FFT) to derive the enhanced algorithm. In addition, we provide convergence analysis for the proposed method. Experimental results demonstrate that accelerated SBM is potentially faster than some existing image CS reconstruction methods.
Year
DOI
Venue
2016
10.3837/tiis.2016.06.016
KSII TRANSACTIONS ON INTERNET AND INFORMATION SYSTEMS
Keywords
Field
DocType
Compressive sensing,sparse representation,split Bregman method,accelerated split Bregman method,image restoration
Convergence (routing),Pattern recognition,Matrix (mathematics),Computer science,Sparse approximation,Fourier transform,Bregman method,Fast Fourier transform,Artificial intelligence,Image restoration,Compressed sensing
Journal
Volume
Issue
ISSN
10
6
1976-7277
Citations 
PageRank 
References 
0
0.34
0
Authors
5
Name
Order
Citations
PageRank
Bin Gao1122.94
Peng Lan2418.25
Xiaoming Chen330128.67
Li Zhang400.34
Fenggang Sun500.68