TITLE:
The Convergence of Two Algorithms for Compressed Sensing Based Tomography
AUTHORS:
Xiezhang Li, Jiehua Zhu
KEYWORDS:
Compressed Sensing; Image Reconstruction; Total Variation Minimization; Block Iterative Methods
JOURNAL NAME:
Advances in Computed Tomography,
Vol.1 No.3,
December
28,
2012
ABSTRACT: The constrained total variation minimization has been developed successfully for image reconstruction in computed tomography. In this paper, the block component averaging and diagonally-relaxed orthogonal projection methods are proposed to incorporate with the total variation minimization in the compressed sensing framework. The convergence of the algorithms under a certain condition is derived. Examples are given to illustrate their convergence behavior and noise performance.