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Sparse Parallel MRI Based on Accelerated Operator Splitting Schemes
Joint Authors
Liang, Dong
Wang, Shanshan
Xie, Weisi
Su, Zhenghang
Cai, Nian
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-09-25
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
Recently, the sparsity which is implicit in MR images has been successfully exploited for fast MR imaging with incomplete acquisitions.
In this paper, two novel algorithms are proposed to solve the sparse parallel MR imaging problem, which consists of l 1 regularization and fidelity terms.
The two algorithms combine forward-backward operator splitting and Barzilai-Borwein schemes.
Theoretically, the presented algorithms overcome the nondifferentiable property in l 1 regularization term.
Meanwhile, they are able to treat a general matrix operator that may not be diagonalized by fast Fourier transform and to ensure that a well-conditioned optimization system of equations is simply solved.
In addition, we build connections between the proposed algorithms and the state-of-the-art existing methods and prove their convergence with a constant stepsize in Appendix.
Numerical results and comparisons with the advanced methods demonstrate the efficiency of proposed algorithms.
American Psychological Association (APA)
Cai, Nian& Xie, Weisi& Su, Zhenghang& Wang, Shanshan& Liang, Dong. 2016. Sparse Parallel MRI Based on Accelerated Operator Splitting Schemes. Computational and Mathematical Methods in Medicine،Vol. 2016, no. 2016, pp.1-14.
https://search.emarefa.net/detail/BIM-1100066
Modern Language Association (MLA)
Cai, Nian…[et al.]. Sparse Parallel MRI Based on Accelerated Operator Splitting Schemes. Computational and Mathematical Methods in Medicine No. 2016 (2016), pp.1-14.
https://search.emarefa.net/detail/BIM-1100066
American Medical Association (AMA)
Cai, Nian& Xie, Weisi& Su, Zhenghang& Wang, Shanshan& Liang, Dong. Sparse Parallel MRI Based on Accelerated Operator Splitting Schemes. Computational and Mathematical Methods in Medicine. 2016. Vol. 2016, no. 2016, pp.1-14.
https://search.emarefa.net/detail/BIM-1100066
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1100066