A Radon-type transform arising in photoacoustic tomography with circular detectors: spherical geometry

DOI10.1080/17415977.2015.1088537zbMath1341.92038arXiv1501.02532OpenAlexW2279888835MaRDI QIDQ3177960

Dustin Steinhauer, Yulia Hristova, Sunghwan Moon

Publication date: 8 July 2016

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.02532

zbMATH Keywords

Radon transformtomographyphotoacousticthermoacousticintegrating detectors

Mathematics Subject Classification ID

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

Related Items (4)

Funk-Minkowski transform and spherical convolution of Hilbert type in reconstructing functions on the sphere ⋮ A discrete Funk transform on the cubed sphere ⋮ Reconstruction formula for photoacoustic tomography with cylindrical detectors ⋮ Reconstruction of functions on the sphere from their integrals over hyperplane sections

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