Journal
IEEE-CAA JOURNAL OF AUTOMATICA SINICA
Volume 4, Issue 4, Pages 763-769Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/JAS.2016.7510226
Keywords
Alternating direction method; Barzilai-Borwein stepsize; parallel magnetic resonance imaging; total variation image reconstruction
Categories
Funding
- National Natural Science Foundation of China [11361018, 11461015]
- Guangxi Natural Science Foundation [2014GXNSFFA118001]
- Guangxi Key Laboratory of Automatic Detecting Technology and Instruments [YQ15112, YQ16112]
- Guilin Science and Technology Project [20140127-2]
- Innovation Project of Guangxi Graduate Education and Innovation Project of GUET Graduate Education [YJCXB201502]
- Guangxi Key Laboratory of Cryptography and Information Security [GCIS201624]
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In this study, we propose a linearized proximal alternating direction method with variable stepsize for solving total variation image reconstruction problems. Our method uses a linearized technique and the proximal function such that the closed form solutions of the subproblem can be easily derived. In the subproblem, we apply a variable stepsize, that is like Barzilai-Borwein stepsize, to accelerate the algorithm. Numerical results with parallel magnetic resonance imaging demonstrate the efficiency of the proposed algorithm.
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