Article ID Journal Published Year Pages File Type
4602354 Linear Algebra and its Applications 2008 21 Pages PDF
Abstract

In this paper, we present a constrained version of Kaczmarz extended algorithm for improving image reconstruction from projections in computerized tomography. We prove convergence of our algorithm in the general inconsistent case to a “constrained” least squares solution of the reconstruction problem, under weaker hypothesis than those proposed in a previous paper by Koltracht and Lancaster for classical Kaczmarz’s projection method. Numerical experiments and comparisons are also presented on some model problems from the field of electromagnetic geotomography.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory