The vertical slice transform on the unit sphere

DOI10.1515/fca-2019-0049zbMath1445.44003OpenAlexW2981447716WikidataQ126991965 ScholiaQ126991965MaRDI QIDQ2175762

Boris Rubin

Publication date: 30 April 2020

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/fca-2019-0049

zbMATH Keywords

Radon transforminversion formulaslice transform

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Wave equation (35L05) Radon transform (44A12) Inverse problems for integral equations (45Q05)

Related Items (4)

Support theorems for Funk-type isodistant Radon transforms on constant curvature spaces ⋮ On the spherical slice transform ⋮ Sliced optimal transport on the sphere ⋮ An inversion formula for the horizontal conical Radon transform

Cites Work

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• Reconstructing a function on the sphere from its means along vertical slices
• Method of analytic continuation for the inverse spherical mean transform in constant curvature spaces
• The Mathematics of Computerized Tomography
• Mathematics of Photoacoustic and Thermoacoustic Tomography
• Integral Geometry and Radon Transforms
• Explicit inversion formulae for the spherical mean Radon transform
• Inversion of Spherical Means and the Wave Equation in Even Dimensions
• Inversion formulae for the spherical mean in odd dimensions and the Euler–Poisson–Darboux equation
• The Radon Transform and Medical Imaging

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