Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4602354 | Linear Algebra and its Applications | 2008 | 21 Pages |
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.
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