Article citationsMore>>

P. B. Eggermont, G. T. Herman and A. Lent, “Iterative Algorithm for Larger Partitioned Linear Systems, with Applications to Image Reconstruction,” Linear Algebra and Its Applications, Vol. 40, 1981, pp. 37-67. doi:10.1016/0024-3795(81)90139-7

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.