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Constrained Kaczmarz extended algorithm for image reconstruction

✍ Scribed by Constantin Popa

Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 938 KB
Volume: 429
Category: Article
ISSN: 0024-3795
DOI: 10.1016/j.laa.2008.06.024

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✦ Synopsis

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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