A new linearized split Bregman iterative algorithm for image reconstruction in sparse-view X-ray computed tomography

doi:10.1016/j.camwa.2016.01.003

	A new linearized split Bregman iterative algorithm for image reconstruction in sparse-view X-ray computed tomography
	Chen, Chong; Xu, Guoliang
	2016-04-01
发表期刊	COMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN	0898-1221
卷号	71 期号:8 页码:1537-1559
摘要	In this paper, a new linearized split Bregman iterative algorithm is proposed for sparse view X-ray computed tomography, which can avoid solving a large-scale and unstructured linear system in each iteration. Remarkably, our method can be generalized to efficiently resolve some other image processing and analysis models, for instance, the robust compressed sensing, the total variation-l(1), and the l(1)-l(1). We also give rigorous proofs for the convergence of the proposed method under appropriate conditions for the aforementioned problems. Experimental results demonstrate that our algorithm has better performance in terms of reconstruction quality, effectiveness and robustness, compared with some other methods (e.g. gradient-flow-based semi-implicit finite element method, split Bregman, etc.) for the robust image reconstruction in sparse-view X-ray computed tomography. (C) 2016 Elsevier Ltd. All rights reserved.
关键词	Linearized split Bregman iteration Compressed sensing Robust image reconstruction Sparse views X-ray computed tomography
DOI	10.1016/j.camwa.2016.01.003
语种	英语
资助项目	National Natural Science Foundation of China (NSFC)[11301520] ; NSFC[11101401] ; NSFC[81173663] ; NSFC Fund for Creative Research Groups of China[11321061]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000374797600001
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/22592
专题	计算数学与科学工程计算研究所
通讯作者	Xu, Guoliang
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, POB 2719, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Chen, Chong,Xu, Guoliang. A new linearized split Bregman iterative algorithm for image reconstruction in sparse-view X-ray computed tomography[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,2016,71(8):1537-1559.
APA	Chen, Chong,&Xu, Guoliang.(2016).A new linearized split Bregman iterative algorithm for image reconstruction in sparse-view X-ray computed tomography.COMPUTERS & MATHEMATICS WITH APPLICATIONS,71(8),1537-1559.
MLA	Chen, Chong,et al."A new linearized split Bregman iterative algorithm for image reconstruction in sparse-view X-ray computed tomography".COMPUTERS & MATHEMATICS WITH APPLICATIONS 71.8(2016):1537-1559.