Algorithm for recovering discontinuities of a function from its Radon transform
type: Item
instance of: scholarly article
title: Algorithm for recovering discontinuities of a function from its Radon transform
zbMATH Open document ID: 0769.65096
DOI: 10.1016/0893-9659(92)90091-M
published in: Applied Mathematics Letters
publication date: 1993-01-06T00:00:00Z
review text: In many applications of computer tomography it is not necessary to do a complete inversion of tomographic data, but only to locate discontinuities of the unknown piecewise smooth function. The present paper proposes a simple method for locating the discontinuities of a function \(f\) given the singularity curve \(p(\alpha)\) of its Radon transform \(Rf\). It is based on the fact that the singularities of \(Rf\) can be found at lines tangent to the discontinuity curves of \(f\). Problems of numerical implementation of the method are not discussed here.
reviewed by: P.Polcar
Mathematics Subject Classification ID: 65R10
Mathematics Subject Classification ID: 44A12
zbMATH DE Number: 85851
zbMATH Keywords: locating discontinuities
zbMATH Keywords: computer tomography
zbMATH Keywords: Radon transform
author: A. Katsevich
MaRDI profile type: Publication
cites work: Reconstructing singularities of a function from its Radon transform
cites work: Tomographic reconstructions from incomplete data-numerical inversion of the exterior Radon transform
cites work: Q3973018
Wikidata QID: Q127342878
description: scientific article; zbMATH DE number 85851