Abel transforms with low regularity with applications to x-ray tomography on spherically symmetric manifolds

DOI10.1088/1361-6420/aa9423zbMath1475.44004arXiv1702.07625OpenAlexW2611476081WikidataQ109745361 ScholiaQ109745361MaRDI QIDQ4601409

Joonas Ilmavirta, Maarten V. de Hoop

Publication date: 16 January 2018

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

Full work available at URL: https://arxiv.org/abs/1702.07625

zbMATH Keywords

spherical symmetryAbel transformsgeophysical imagingbroken ray tomographygeodesic x-ray tomography

Mathematics Subject Classification ID

Radon transform (44A12) Integral geometry (53C65)

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The first 100 years of the Radon transform ⋮ Spectral rigidity for spherically symmetric manifolds with boundary ⋮ Tensor tomography of the residual stress field in graded-index YAG's single crystals ⋮ The geodesic ray transform on spherically symmetric reversible Finsler manifolds ⋮ Functions of constant geodesic x-ray transform ⋮ The broken ray transform: additional properties and new inversion formula ⋮ Unique continuation of the normal operator of the x-ray transform and applications in geophysics ⋮ Recovery of discontinuous Lamé parameters from exterior Cauchy data

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