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- Title
Oblique QR Decomposition Based Block Partition Strategy for Block Landweber Scheme.
- Authors
Caifang Wang; Cong Che; Xiaobin Xia
- Abstract
Block Landweber scheme plays an important role in linear image reconstruction field. In this paper, we propose a block partition strategy based on oblique QR decomposition so as to improve the computational efficiency of block Landweber scheme. And then we provide sensitivity analysis of subproblem from the linear imaging system. Furthermore, in order to prevent excessive memory usage in the process of oblique QR decomposition, we design pseudo code to update these two partition criteria. Finally, we test the performance of our strategy by the image reconstruction of block simultaneous algebra reconstruction technique which is a well known special case of Landweber scheme. Compared with sequential partition, our block partition strategy provides reconstructed images with smaller root mean square errors, but with fewer iteration cycles.
- Subjects
STANDARD deviations; IMAGE reconstruction; IMAGING systems; LINEAR systems
- Publication
IAENG International Journal of Applied Mathematics, 2023, Vol 53, Issue 3, p884
- ISSN
1992-9978
- Publication type
Article