A Compton scattering image reconstruction algorithm based on total variation minimization

doi:10.1088/1674-1056/21/10/108703

中国物理B ›› 2012, Vol. 21 ›› Issue (10): 108703-108703.doi: 10.1088/1674-1056/21/10/108703

• INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇下一篇

A Compton scattering image reconstruction algorithm based on total variation minimization

李守鹏, 王林元, 闫镔, 李磊, 刘拥军

National Digital Switching System Engineering & Technology Research Center, Zhengzhou 450002, China

收稿日期:2012-02-29 修回日期:2012-04-09 出版日期:2012-09-01 发布日期:2012-09-01
基金资助:
Project supported by the National Basic Research Program of China (Grant No. 2011CB707701) and the National High Technology Research and Development Program of China (Grant Nos. 2009AA012200 and 2012AA011603).

A Compton scattering image reconstruction algorithm based on total variation minimization

Li Shou-Peng (李守鹏), Wang Lin-Yuan (王林元), Yan Bin (闫镔), Li Lei (李磊), Liu Yong-Jun (刘拥军)

National Digital Switching System Engineering & Technology Research Center, Zhengzhou 450002, China

Received:2012-02-29 Revised:2012-04-09 Online:2012-09-01 Published:2012-09-01
Contact: Yan Bin E-mail:tom.yan@gmail.com
Supported by:
Project supported by the National Basic Research Program of China (Grant No. 2011CB707701) and the National High Technology Research and Development Program of China (Grant Nos. 2009AA012200 and 2012AA011603).

摘要/Abstract

摘要： Compton scattering imaging is a novel radiation imaging method using scattered photons. Its main characteristics are detectors that do not have to be on the opposite side of the source, so avoiding the rotation process. The reconstruction problem of Compton scattering imaging is the inverse problem to solve electron densities from nonlinear equations, which is ill-posed. This means the solution exhibits instability and sensitivity to noise or erroneous measurements. Using the theory for reconstruction of sparse images, a reconstruction algorithm based on total variation minimization is proposed. The reconstruction problem is described as an optimization problem with nonlinear data-consistency constraint. The simulated results show that the proposed algorithm could reduce reconstruction error and improve image quality, especially when there are not enough measurements.

关键词: Compton scattering tomography, inverse problem, image reconstruction, sparse, total variation

Abstract: Compton scattering imaging is a novel radiation imaging method using scattered photons. Its main characteristics are detectors that do not have to be on the opposite side of the source, so avoiding the rotation process. The reconstruction problem of Compton scattering imaging is the inverse problem to solve electron densities from nonlinear equations, which is ill-posed. This means the solution exhibits instability and sensitivity to noise or erroneous measurements. Using the theory for reconstruction of sparse images, a reconstruction algorithm based on total variation minimization is proposed. The reconstruction problem is described as an optimization problem with nonlinear data-consistency constraint. The simulated results show that the proposed algorithm could reduce reconstruction error and improve image quality, especially when there are not enough measurements.

Key words: Compton scattering tomography, inverse problem, image reconstruction, sparse, total variation

中图分类号: (Reconstruction)

87.57.nf

83.85.Hf (X-ray and neutron scattering) 06.30.Dr (Mass and density)

李守鹏, 王林元, 闫镔, 李磊, 刘拥军. A Compton scattering image reconstruction algorithm based on total variation minimization[J]. 中国物理B, 2012, 21(10): 108703-108703.

Li Shou-Peng (李守鹏), Wang Lin-Yuan (王林元), Yan Bin (闫镔), Li Lei (李磊), Liu Yong-Jun (刘拥军). A Compton scattering image reconstruction algorithm based on total variation minimization[J]. Chin. Phys. B, 2012, 21(10): 108703-108703.

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A Compton scattering image reconstruction algorithm based on total variation minimization

A Compton scattering image reconstruction algorithm based on total variation minimization

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