A new iterative reconstruction algorithm for 2D exterior fan-beam CT

Article type: Research Article

Authors: Zeng, Li^; | Liu, Baodong^; | Liu, Linghui^; | Xiang, Caibing^;

Affiliations: ICT Research Center, Key Laboratory of Optoelectronic Technology and System of the Education Ministry of China, Chongqing University, Chongqing, China | College of Mathematics and Physics, Chongqing University, Chongqing, China | College of Optoelectronic Engineering, Chongqing University, China

Note: [] Corresponding author. Tel.: +86 23 86394828; Fax: +86 23 65103562; E-mail: drlizeng@hotmail.com

Abstract: The exterior computed tomography (CT) problem is one kind of truncation problem. It is very ill-posed, so that accurate reconstruction of the attenuation function is hardly possible from real data. Based on projection onto convex sets (POCS) algorithm, total variation minimization (TVM) methods, and C-V model, we develop and investigate a new iterative reconstruction algorithm, which is referred to as subregion-averaged-TVM-POCS (SA-TVM-POCS). Numerical simulations are presented to illustrate the efficiency of the algorithm. The results of this paper can be easily applied to other x-ray CT reconstruction problems.

Keywords: CT, Image reconstruction, Exterior problem, POCS, TVM, C-V model

DOI: 10.3233/XST-2010-0259

Journal: Journal of X-Ray Science and Technology, vol. 18, no. 3, pp. 267-277, 2010