Approximate inverse and Sobolev estimates for the attenuated Radon transform

DOI10.1088/0266-5611/31/10/105010zbMath1336.65199OpenAlexW2238704704MaRDI QIDQ3454710

Aref Lakhal, Gaël Rigaud

Publication date: 26 November 2015

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

Full work available at URL: https://doi.org/10.1088/0266-5611/31/10/105010

zbMATH Keywords

algorithmSobolev spaceRadon transformHilbert transformpseudoinverseregularization schemeattenuated Radon transformcontour extractionmollifier methoddivergent beam x-ray transformreconstruction schemesmethod of approximate inverseGaussian mollifier

Mathematics Subject Classification ID

Radon transform (44A12) Numerical methods for integral transforms (65R10) Numerical methods for ill-posed problems for integral equations (65R30)

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