D. Donoho, “Compressed Sensing,” IEEE Transactions on Information Theory, Vol. 52, No. 4, 2006, pp. 1289-1306. doi:10.1109/TIT.2006.871582
has been cited by the following article:
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.