Mathematical Sciences: Faculty Publications
The Convergence of Block Cyclic Projection with Underrelaxation Parameters for Compressed Sensing Based Tomography
Document Type
Article
Publication Date
2014
Publication Title
Journal of X-Ray Science and Technology
DOI
10.3233/XST-140419
ISSN
1095-9114
Abstract
The block cyclic projection method in the compressed sensing framework (BCPCS) was introduced for image reconstruction in computed tomography and its convergence had been proven in the case of unity relaxation (λ=1). In this paper, we prove its convergence with underrelaxation parameters λ∈(0,1). As a result, the convergence of compressed sensing based block component averaging algorithm (BCAVCS) and block diagonally-relaxed orthogonal projection algorithm (BDROPCS) with underrelaxation parameters under a certain condition are derived. Experiments are given to illustrate the convergence behavior of these algorithms with selected parameters.
Recommended Citation
Arroyo, Fangjun, Edward Arroyo, Xiezhang Li, Jiehua Zhu.
2014.
"The Convergence of Block Cyclic Projection with Underrelaxation Parameters for Compressed Sensing Based Tomography."
Journal of X-Ray Science and Technology, 22 (2): 197-211.
doi: 10.3233/XST-140419
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/85
Copyright
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