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XCT image reconstruction by a modified superiorized iteration and theoretical analysis

文献类型：期刊论文

作者Luo, Shousheng4,5; Zhang, Yanchun5; Zhou, Tie3; Song, Jinping5; Wang, Yanfei1,2
刊名OPTIMIZATION METHODS & SOFTWARE
出版日期2020-11-01
卷号35期号:6页码:1080-1097
关键词XCT image reconstruction algebraic method superiorization of iteration proximity perturbation
ISSN号1055-6788
DOI10.1080/10556788.2018.1560442
英文摘要In this paper, we propose an improved iteration superiorization method for X-ray computed tomography image reconstruction. We simplify the classic superiorized iteration by removing two constraints imposed on the perturbation. A novel method is proposed to determine the perturbation amount and direction for the superiorized iteration simultaneously. Some theoretical properties (convergence for instance) of the superiorized iteration sequence with the proposed perturbation are analysed. We present a general proof for the convergence of ART-like iterations with summable perturbations. In addition, we prove the convergence of simultaneous iterations without the summable perturbation assumption. Experiments on simulated and real data not only verify the theoretical result but also show that the proposed algorithm is superior to the classic superiorized iteration and can reconstruct desirable images.
WOS关键词TOTAL VARIATION MINIMIZATION ; LIMITED-ANGLE DATA ; PROJECTION METHODS ; CONVEX FEASIBILITY ; ALGORITHM ; CONVERGENCE
WOS研究方向Computer Science ; Operations Research & Management Science ; Mathematics
语种英语
WOS记录号WOS:000590561200003
出版者TAYLOR & FRANCIS LTD
源URL[http://ir.iggcas.ac.cn/handle/132A11/98737]  
专题地质与地球物理研究所_中国科学院油气资源研究重点实验室
通讯作者Wang, Yanfei
作者单位1.Univ Chinese Acad Sci, Coll Earth & Planetary Sci, Beijing, Peoples R China
2.Chinese Acad Sci, Inst Geol & Geophys, Key Lab Petr Resources Res, Beijing, Peoples R China
3.Peking Univ, Sch Math Sci, Beijing, Peoples R China
4.Beijing Computat Sci Res Ctr, Beijing, Peoples R China
5.Henan Univ, Sch Math & Stat, Data Anal Technol Lab, Kaifeng, Peoples R China
推荐引用方式
GB/T 7714		 Luo, Shousheng,Zhang, Yanchun,Zhou, Tie,et al. XCT image reconstruction by a modified superiorized iteration and theoretical analysis[J]. OPTIMIZATION METHODS & SOFTWARE,2020,35(6):1080-1097.
APA Luo, Shousheng,Zhang, Yanchun,Zhou, Tie,Song, Jinping,&Wang, Yanfei.(2020).XCT image reconstruction by a modified superiorized iteration and theoretical analysis.OPTIMIZATION METHODS & SOFTWARE,35(6),1080-1097.
MLA Luo, Shousheng,et al."XCT image reconstruction by a modified superiorized iteration and theoretical analysis".OPTIMIZATION METHODS & SOFTWARE 35.6(2020):1080-1097.

入库方式： OAI收割

来源：地质与地球物理研究所

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