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Convergence analysis for column-action methods in image reconstruction
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, Faculty of Science & Engineering.
Technical University of Denmark, Denmark.
Iran University of Science and Technology, Iran.
2017 (English)In: Numerical Algorithms, ISSN 1017-1398, E-ISSN 1572-9265, Vol. 74, no 3, 905-924 p.Article in journal (Refereed) Published
Abstract [en]

Column-oriented versions of algebraic iterative methods are interesting alternatives to their row-version counterparts: they converge to a least squares solution, and they provide a basis for saving computational work by skipping small updates. In this paper we consider the case of noise-free data. We present a convergence analysis of the column algorithms, we discuss two techniques (loping and flagging) for reducing the work, and we establish some convergence results for methods that utilize these techniques. The performance of the algorithms is illustrated with numerical examples from computed tomography.

Place, publisher, year, edition, pages
SPRINGER , 2017. Vol. 74, no 3, 905-924 p.
Keyword [en]
Algebraic iterative reconstruction; Block-iteration; ART; Kaczmarz; Cimmino; Convergence
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-136661DOI: 10.1007/s11075-016-0176-xISI: 000395033800012OAI: oai:DiVA.org:liu-136661DiVA: diva2:1089757
Note

Funding Agencies|European Research Council [291405]

Available from: 2017-04-20 Created: 2017-04-20 Last updated: 2017-04-20

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Citation style
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