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Type: Artigo de periódico
Title: On the iterative inversion of generalized attenuated Radon transforms
Author: Miqueles, EX
De Pierro, AR
Abstract: We are concerned with an iterative inversion of the Generalized Attenuated Radon Transform (GART) first introduced by Kunyansky (1992). It is essentially based on approximating the inverse of GART by a scaled inverse Radon transform followed by an appropriate iterative refinement. This paper presents a convergence proof for this iterative method introducing tighter and computable estimates (compared to Kunyansky) for the iteration contraction constants. As expected, such constants depend on the attenuation parameter mu, i.e., the higher mu is, the closer the constant is to one yielding slow convergence to the solution. Such values are compared with those obtained using the infinite-dimensional version of the power method by Krein and Rutman (1950).
Subject: Generalized attenuated Radon transform
iterative methods
Country: Alemanha
Editor: Walter De Gruyter Gmbh
Citation: Journal Of Inverse And Ill-posed Problems. Walter De Gruyter Gmbh, v. 21, n. 5, n. 695, n. 712, 2013.
Rights: embargo
Identifier DOI: 10.1515/jip-2011-0025
Date Issue: 2013
Appears in Collections:Unicamp - Artigos e Outros Documentos

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