Title

Local tomography for the generalized radon transform

Keywords

Detection of discontinuities; Generalized Radon transform; Local tomography

Abstract

Let f be piecewise smooth with only jump discontinuities across 5 := singsupp f. The asymptotic behavior of Bf near S is obtained. Here B is an elliptic pseudodifferential operator which satisfies certain not very restrictive assumptions. An efficient numerical scheme for computing local tomography (LT) functions for the generalized Radon transform (GRT) is proposed. The effect of mollification of the two LT functions is investigated. An algorithm for finding values of jumps of f knowing local tomographic data corresponding to the GRT is developed and tested on the simulated data.

Publication Date

1-1-1997

Publication Title

SIAM Journal on Applied Mathematics

Volume

57

Issue

4

Number of Pages

1128-1162

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1137/S0036139995291842

Socpus ID

0031210806 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0031210806

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