A Compton scattering image reconstruction algorithm based on total variation minimization

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

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.

Keywords: Compton scattering tomography inverse problem image reconstruction sparse total variation

Received: 29 February 2012
Revised: 09 April 2012
Accepted manuscript online:

PACS:	87.57.nf	(Reconstruction)
	83.85.Hf	(X-ray and neutron scattering)
	06.30.Dr	(Mass and density)

Fund: 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).

Corresponding Authors: Yan Bin
E-mail: tom.yan@gmail.com

Cite this article:

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 2012 Chin. Phys. B 21 108703

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A Compton scattering image reconstruction algorithm based on total variation minimization

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