Convergence studies on block iterative algorithms for image reconstruction

The sequential block-iterative scheme based on Landweber’s method is a general iterative one for image reconstruction. In this paper, we give the finite termination convergence for this scheme, which provides an approach to choose relaxation coefficients. Furthermore, sufficient and necessary conver...

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Veröffentlicht in:Applied mathematics and computation Jg. 273; S. 525 - 534
1. Verfasser: Guo, Xue-Ping
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Elsevier Inc 15.01.2016
Schlagworte:
Block iterative algorithm
Convergence
Image reconstruction
Sequential block-iterative scheme
Singular value decomposition (SVD)
65F50
65F10
Block iterative algorithm
Singular value decomposition (SVD)
65N22
Image reconstruction
Sequential block-iterative scheme
Convergence
ISSN:0096-3003, 1873-5649
Online-Zugang:Volltext
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Beschreibung
Zusammenfassung:The sequential block-iterative scheme based on Landweber’s method is a general iterative one for image reconstruction. In this paper, we give the finite termination convergence for this scheme, which provides an approach to choose relaxation coefficients. Furthermore, sufficient and necessary convergence conditions are also established for the sequential block-iterative scheme case.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2015.10.028