Interior tomography with curvelet-based regularization | |
Liu, Baodong1,2; Katsevich, Alexander3; Yu, Hengyong4 | |
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 |
通讯作者 | Liu, baodong(liubd@ihep.ac.cn) |
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. |
WOS关键词 | SINGULAR-VALUE DECOMPOSITION ; LINEAR INVERSE PROBLEMS ; THRESHOLDING ALGORITHM ; RECONSTRUCTION ; TRANSFORM |
WOS研究方向 | Instruments & Instrumentation ; Optics ; Physics |
WOS类目 | Instruments & Instrumentation ; Optics ; Physics, Applied |
语种 | 英语 |
出版者 | IOS PRESS |
WOS记录号 | WOS:000395324000001 |
内容类型 | 期刊论文 |
URI标识 | http://www.corc.org.cn/handle/1471x/2176768 |
专题 | 高能物理研究所 |
通讯作者 | Liu, Baodong |
作者单位 | 1.Chinese Acad Sci, Inst High Energy Phys, Div Nucl Technol & Applicat, Beijing, Peoples R China 2.Beijing Engn Res Ctr Radiog Techn & Equipment, Beijing, Peoples R China 3.Univ Cent Florida, Dept Math, Orlando, FL 32816 USA 4.Univ Massachusetts, Dept Elect & Comp Engn, Lowell, MA USA |
推荐引用方式 GB/T 7714 | Liu, Baodong,Katsevich, Alexander,Yu, Hengyong. Interior tomography with curvelet-based regularization[J]. Journal of x-ray science and technology,2017,25(1):1-13. |
APA | Liu, Baodong,Katsevich, Alexander,&Yu, Hengyong.(2017).Interior tomography with curvelet-based regularization.Journal of x-ray science and technology,25(1),1-13. |
MLA | Liu, Baodong,et al."Interior tomography with curvelet-based regularization".Journal of x-ray science and technology 25.1(2017):1-13. |
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