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

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...

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Bibliographic Details
Published inJournal of X-ray science and technology Vol. 18; no. 3; pp. 267 - 277
Main Authors Zeng, Li, Liu, Baodong, Liu, Linghui, Xiang, Caibing
Format Journal Article
LanguageEnglish
Published Netherlands 2010
Subjects
Algorithms
Computer Simulation
Image Processing, Computer-Assisted - methods
Phantoms, Imaging
Tomography, X-Ray Computed - methods
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Summary: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.
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ISSN:0895-3996
1095-9114
DOI:10.3233/XST-2010-0259