Interior tomography with curvelet-based regularization

doi:10.3233/XST-160602

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	Interior tomography with curvelet-based regularization
	Liu, BD; Yu, HY; Katsevich, A; Liu BD(刘宝东)
刊名	JOURNAL OF X-RAY SCIENCE AND TECHNOLOGY
	2017
卷号	25 期号:1 页码:1-13
关键词	Computed tomography (CT) local reconstruction interior tomography radon transform curvelet transform regularization method
ISSN号	0895-3996
DOI	10.3233/XST-160602
文献子类	Article
英文摘要	The interior problem, i.e. reconstruction from local truncated projections in computed tomography (CT), is common in practical applications. However, its solution is non-unique in a general unconstrained setting. To solve the interior problem uniquely and stably, in recent years both the prior knowledge-and compressive sensing (CS)-based methods have been developed. Those theoretically exact solutions for the interior problem are called interior tomography. Along this direction, we propose here a new CS-based method for the interior problem based on the curvelet transform. A curvelet is localized in both radial and angular directions in the frequency domain. A two-dimensional (2D) image can be represented in a curvelet frame. We employ the curvelet transform coefficients to regularize the interior problem and obtain a curvelet frame based regularization method (CFRM) for interior tomography. The curvelet coefficients of the reconstructed image are split into two sets according to their visibility from the interior data, and different regularization parameters are used for these two sets. We also presents the results of numerical experiments, which demonstrate the feasibility of the proposed approach.
电子版国际标准刊号	1095-9114
WOS关键词	SINGULAR-VALUE DECOMPOSITION ; LINEAR INVERSE PROBLEMS ; THRESHOLDING ALGORITHM ; RECONSTRUCTION ; TRANSFORM
WOS研究方向	Instruments & Instrumentation ; Optics ; Physics
语种	英语
WOS记录号	WOS:000395324000001
内容类型	期刊论文
源URL	[http://ir.ihep.ac.cn/handle/311005/285174]
专题	高能物理研究所_核技术应用研究中心
作者单位	中国科学院高能物理研究所
推荐引用方式 GB/T 7714	Liu, BD,Yu, HY,Katsevich, A,et al. Interior tomography with curvelet-based regularization[J]. JOURNAL OF X-RAY SCIENCE AND TECHNOLOGY,2017,25(1):1-13.
APA	Liu, BD,Yu, HY,Katsevich, A,&刘宝东.(2017).Interior tomography with curvelet-based regularization.JOURNAL OF X-RAY SCIENCE AND TECHNOLOGY,25(1),1-13.
MLA	Liu, BD,et al."Interior tomography with curvelet-based regularization".JOURNAL OF X-RAY SCIENCE AND TECHNOLOGY 25.1(2017):1-13.