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arXiv · 1501.02532

A Radon-type transform arising in Photoacoustic Tomography with circular detectors: spherical geometry

Yulia Hristova·Sunghwan Moon·Dustin Steinhauer
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Abstract

This paper is devoted to a Radon-type transform arising in a version of Photoacoustic Tomography that uses integrating circular detectors. We show that the transform can be decomposed into the spherical Radon transform and the Funk-Minkowski transform. An inversion formula and a range description are obtained by combining existing inversion for- mulas and range descriptions for the spherical Radon transform and the Funk-Minkowski transform. Numerical simulations are performed to demonstrate our proposed algorithm.

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Yulia Hristova, Sunghwan Moon, Dustin Steinhauer. 2015-01-12. A Radon-type transform arising in Photoacoustic Tomography with circular detectors: spherical geometry. https://arxiv.org/abs/1501.02532

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