Sparse Parallel MRI Based on Accelerated Operator Splitting Schemes.
文献类型：期刊论文
| 作者 | Cai, Nian; Xie, Weisi; Su, Zhenghang; Wang, Shanshan; Liang, Dong |
| 刊名 | COMPUTATIONAL AND MATHEMATICAL METHODS IN MEDICINE
 |
| 出版日期 | 2016 |
| 英文摘要 | 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. |
| 收录类别 | SCI |
| 原文出处 | https://www.hindawi.com/journals/cmmm/2016/1724630/abs/ |
| 语种 | 英语 |
| 源URL | [http://ir.siat.ac.cn:8080/handle/172644/10482]  |
| 专题 | 深圳先进技术研究院_医工所 |
| 作者单位 | COMPUTATIONAL AND MATHEMATICAL METHODS IN MEDICINE |
| 推荐引用方式 GB/T 7714 | Cai, Nian,Xie, Weisi,Su, Zhenghang,et al. Sparse Parallel MRI Based on Accelerated Operator Splitting Schemes.[J]. COMPUTATIONAL AND MATHEMATICAL METHODS IN MEDICINE,2016. |
| 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. |
| MLA | Cai, Nian,et al."Sparse Parallel MRI Based on Accelerated Operator Splitting Schemes.".COMPUTATIONAL AND MATHEMATICAL METHODS IN MEDICINE (2016). |
入库方式： OAI收割
来源：深圳先进技术研究院
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