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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Vydáno v:Applied mathematics and computation Ročník 273; s. 525 - 534
Hlavní autor: Guo, Xue-Ping
Médium: Journal Article
Jazyk:angličtina
Vydáno: Elsevier Inc 15.01.2016
Témata:
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
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Shrnutí: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