Reconstructing singularities of a function from its Radon transform
type: Item
instance of: scholarly article
title: Reconstructing singularities of a function from its Radon transform
zbMATH Open document ID: 0784.44003
DOI: 10.1016/0895-7177(93)90083-B
published in: Mathematical and Computer Modelling
publication date: 1994-01-04T00:00:00Z
review text: The authors investigate the relation between the singularities of an arbitrary function \(f(x)\) and its Radon transform \(R(f)\). A method for finding the singularities of \(f(x)\) given the singularities of \(R(f)\) is demonstrated. Moreover some numerical aspects of this problem are given. The obtained results are related to a special Legendre transform. Finally, the geometric properties of the singular locus of the Radon transform are studied.
Mathematics Subject Classification ID: 44A12
Mathematics Subject Classification ID: 92C55
Mathematics Subject Classification ID: 65R10
zbMATH DE Number: 474549
zbMATH Keywords: singularities
zbMATH Keywords: Radon transform
zbMATH Keywords: Legendre transform
author: A. G. Ramm
author: A. I. Zaslavskij
reviewed by: S. Yakubovich
MaRDI profile type: Publication
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full work available at URL: 0895-7177(93)90083-b
OpenAlex ID: W2085532260
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description: scientific article; zbMATH DE number 474549