A Radon-type transform arising in Photoacoustic Tomography with circular detectors: spherical geometry
Analysis of PDEs
2015-01-19 v3
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.
Keywords
Cite
@article{arxiv.1501.02532,
title = {A Radon-type transform arising in Photoacoustic Tomography with circular detectors: spherical geometry},
author = {Yulia Hristova and Sunghwan Moon and Dustin Steinhauer},
journal= {arXiv preprint arXiv:1501.02532},
year = {2015}
}
Comments
19 pages, 3 figures. Some formatting changes from v2