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

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	A new linearized split Bregman iterative algorithm for image reconstruction in sparse-view X-ray computed tomography
	Chen, Chong; Xu, Guoliang
刊名	COMPUTERS & MATHEMATICS WITH APPLICATIONS
	2016-04-01
卷号	71 期号:8 页码:1537-1559
关键词	Linearized split Bregman iteration Compressed sensing Robust image reconstruction Sparse views X-ray computed tomography
ISSN号	0898-1221
DOI	10.1016/j.camwa.2016.01.003
英文摘要	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.
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
语种	英语
出版者	PERGAMON-ELSEVIER SCIENCE LTD
WOS记录号	WOS:000374797600001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/22591]
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.