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 |
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15.01.2016
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| Abstract | 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. |
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| AbstractList | 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. |
| Author | Guo, Xue-Ping |
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| Keywords | 65F50 65F10 Block iterative algorithm Singular value decomposition (SVD) 65N22 Image reconstruction Sequential block-iterative scheme Convergence |
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| SubjectTerms | Block iterative algorithm Convergence Image reconstruction Sequential block-iterative scheme Singular value decomposition (SVD) |
| Title | Convergence studies on block iterative algorithms for image reconstruction |
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