New methods for finding values of the jumps of a function from its local tomographic data

DOI10.1088/0266-5611/11/5/005zbMath0840.65134OpenAlexW2074859864MaRDI QIDQ4855808

Alexander Katsevich, Alexander G. Ramm

Publication date: 2 January 1996

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/11/5/005

zbMATH Keywords

convolutionnumerical examplesCauchy kernelreconstruction algorithmslocal tomographydiscontinuity curvepseudolocal tomographypiecewise-smooth functionpartial reconstruction problemRadon transform inversion formula

Mathematics Subject Classification ID

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

Related Items (9)

A special problem of integral geometry ⋮ Finding singular support of a function from its tomographic data ⋮ Local tomography for the limited-angle problem ⋮ The unknown boundary problem for singular integral equations ⋮ A method for studying singular integral equations ⋮ Underdetermination in an integral geometry problem ⋮ Recovering jumps in X-ray tomography ⋮ Reconstruction of discontinuities in a problem of integral geometry ⋮ Asymptotics of pseudodifferential operators acting on functions with corner singularities

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