Reconstructing singularities of a function from its Radon transform

DOI10.1016/0895-7177(93)90083-BzbMath0784.44003OpenAlexW2085532260MaRDI QIDQ1309771

A. I. Zaslavskij, Alexander G. Ramm

Publication date: 4 January 1994

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0895-7177(93)90083-b

zbMATH Keywords

singularitiesRadon transformLegendre transform

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Radon transform (44A12) Numerical methods for integral transforms (65R10)

Related Items (15)

Singularities of the radon transform ⋮ Finding singular support of a function from its tomographic data ⋮ Compton camera imaging and the cone transform: a brief overview ⋮ A Local Approach to Resolution Analysis of Image Reconstruction in Tomography ⋮ Mathematics of thermoacoustic tomography ⋮ On the Bochner-Riesz means of critical order ⋮ Inversion formula and singularities of the solution for the backprojection operator in tomography ⋮ Resolution Analysis of Inverting the Generalized Radon Transform from Discrete Data in $\mathbb{R}^3$ ⋮ Analysis of resolution of tomographic-type reconstruction from discrete data for a class of distributions ⋮ Algorithm for recovering discontinuities of a function from its Radon transform ⋮ The boundary-due terms in the Green operator of inclusion patterns from distant to contact and to connected situations using Radon transforms: illustration for spheroid alignments in isotropic media ⋮ Finding Discontinuities from Tomographic Data ⋮ Singularities of the Radon transform ⋮ Analysis of Reconstruction from Discrete Radon Transform Data in R^3 When the Function Has Jump Discontinuities ⋮ Local tomography with nonsmooth attenuation

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