Title
Split Bregman algorithms for multiple measurement vector problem
Abstract
The standard sparse representation aims to reconstruct sparse signal from single measurement vector which is known as SMV model. In some applications, the SMV model extend to the multiple measurement vector (MMV) model, in which the signal consists of a set of jointly sparse vectors. In this paper, efficient algorithms based on split Bregman iteration are proposed to solve the MMV problems with both constrained form and unconstrained form. The convergence of the proposed algorithms is also discussed. Moreover, the proposed algorithms are used in magnetic resonance imaging reconstruction. Numerical results show the effectiveness of the proposed algorithms.
Year
DOI
Venue
2015
10.1007/s11045-013-0251-6
Multidim. Syst. Sign. Process.
Keywords
Field
DocType
Multiple measurement vector problem,Split Bregman iteration,Convergence,MRI reconstruction
Convergence (routing),Bregman iteration,Mathematical optimization,Sparse approximation,Algorithm,Mathematics
Journal
Volume
Issue
ISSN
26
1
0923-6082
Citations 
PageRank 
References 
1
0.36
22
Authors
4
Name
Order
Citations
PageRank
Jian Zou1163.00
Yuli Fu220029.90
Qiheng Zhang3213.87
Haifeng Li4257.92