On the determination of a function from cylindrical Radon transforms
Functional Analysis
2014-12-09 v3 Analysis of PDEs
Abstract
This paper is devoted to a Radon-type transform arising in Photoacoustic Tomography that uses integrating line detectors. We consider two situations: when the line detectors are tangent to the boundary of a cylindrical domain and when the line detectors are located on a plane. We present the analogue of the Fourier slice theorems for each case of the Radon-type transforms. Also, we provide several new inversion formulas, a support theorem, and stability estimate and necessary range condition results.
Keywords
Cite
@article{arxiv.1309.4143,
title = {On the determination of a function from cylindrical Radon transforms},
author = {Sunghwan Moon},
journal= {arXiv preprint arXiv:1309.4143},
year = {2014}
}