Convergence behavior of iterative sense reconstruction with non-cartesian trajectories
文献类型：期刊论文
| 作者 | Qu, P; Zhong, K; Zhang, BD; Wang, JM; Shen, GX |
| 刊名 | Magnetic resonance in medicine
 |
| 出版日期 | 2005-10-01 |
| 卷号 | 54期号:4页码:1040-1045 |
| 关键词 | Parallel imaging Sense Non-cartesian trajectories Conjugate-gradient Regularization Image reconstruction |
| ISSN号 | 0740-3194 |
| DOI | 10.1002/mrm.20648 |
| 通讯作者 | Shen, gx() |
| 英文摘要 | In non-cartesian sense reconstruction based on the conjugate gradient (cg) iteration method, the iteration very often exhibits a "semi-convergence" behavior, which can be characterized as initial convergence toward the exact solution and later divergence. this phenomenon causes difficulties in automatic 'implementation of this reconstruction strategy. in this study, the convergence behavior of the iterative sense reconstruction is analyzed based on the mathematical principle of the cg method. it is revealed that the semi-convergence behavior is caused by the ill-conditioning of the underlying generalized encoding matrix (gem) and the intrinsic regularization effect of cg iteration. from the perspective of regularization, each iteration vector is a regularized solution and the number of iterations plays the role of the regularization parameter. therefore, the iteration count controls the compromise between the snr and the residual aliasing artifact. based on this theory, suggestions with respect to the stopping rule for well-behaved reconstructions are provided. simulated radial imaging and in vivo spiral imaging are performed to demonstrate the theoretical analysis on the semi-convergence phenomenon and the stopping criterion. the dependence of convergence behavior on the undersampling rate and the noise level in samples is also qualitatively investigated. |
| WOS关键词 | FAST MRI ; ACQUISITION |
| WOS研究方向 | Radiology, Nuclear Medicine & Medical Imaging |
| WOS类目 | Radiology, Nuclear Medicine & Medical Imaging |
| 语种 | 英语 |
| WOS记录号 | WOS:000232348000035 |
| 出版者 | JOHN WILEY & SONS INC |
| URI标识 | http://www.irgrid.ac.cn/handle/1471x/2376992 |
| 专题 | 中国科学院大学 |
| 通讯作者 | Shen, GX |
| 作者单位 | 1.Univ Hong Kong, Dept Elect & Elect Engn, CYC 519, Hong Kong, Hong Kong, Peoples R China 2.Chinese Acad Sci, Grad Sch, Key Lab Cognit Sci, Beijing, Peoples R China 3.Chinese Acad Sci, Inst Biophys, Beijing 100080, Peoples R China 4.Siemens Mindit Magnet Resonance Ltd, Shenzhen, Peoples R China |
| 推荐引用方式 GB/T 7714 | Qu, P,Zhong, K,Zhang, BD,et al. Convergence behavior of iterative sense reconstruction with non-cartesian trajectories[J]. Magnetic resonance in medicine,2005,54(4):1040-1045. |
| APA | Qu, P,Zhong, K,Zhang, BD,Wang, JM,&Shen, GX.(2005).Convergence behavior of iterative sense reconstruction with non-cartesian trajectories.Magnetic resonance in medicine,54(4),1040-1045. |
| MLA | Qu, P,et al."Convergence behavior of iterative sense reconstruction with non-cartesian trajectories".Magnetic resonance in medicine 54.4(2005):1040-1045. |
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来源：中国科学院大学
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