Inversion of spherical means using geometric inversion and Radon transforms

DOI10.1088/0266-5611/8/6/010zbMath0769.44003OpenAlexW2062955465MaRDI QIDQ4036224

Andrew E. Yagle

Publication date: 16 May 1993

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

Full work available at URL: http://hdl.handle.net/2027.42/49099

zbMATH Keywords

spherical meansdiffraction tomographygeometric inversiondual filtered backprojection algorithminvariant imbedding algorithminverse Random transforminverse spherical mean problem

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Radon transform (44A12) Numerical methods for integral transforms (65R10) Numerical methods for ill-posed problems for integral equations (65R30)

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Recovering initial values from light cone traces of solutions of the wave equation ⋮ Compton scatter tomography in annular domains ⋮ Diffuse time tomography of strongly scattering random structures^† ⋮ Inversion of the spherical Radon transform on spheres through the origin using the regular Radon transform

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