liu.seSearch for publications in DiVA
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
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, p. 905-924Article 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, p. 905-924
Keywords [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, id: diva2:1089757
Note

Funding Agencies|European Research Council [291405]

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

Open Access in DiVA

No full text in DiVA

Other links

Publisher's full text

Search in DiVA

By author/editor
Elfving, Tommy
By organisation
Computational MathematicsFaculty of Science & Engineering
In the same journal
Numerical Algorithms
Control Engineering

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 137 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf