Reconstructing singularities of a function from its Radon transform
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Publication:1309771
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
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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