Reconstruction formulas for Photoacoustic Imaging in Attenuating Media
Numerical Analysis
2018-01-17 v1 Analysis of PDEs
Functional Analysis
Abstract
In this paper we study the problem of photoacoustic inversion in a weakly attenuating medium. We present explicit reconstruction formulas in such media and show that the inversion based on such formulas is moderately ill--posed. Moreover, we present a numerical algorithm for imaging and demonstrate in numerical experiments the feasibility of this approach.
Keywords
Cite
@article{arxiv.1705.07466,
title = {Reconstruction formulas for Photoacoustic Imaging in Attenuating Media},
author = {Otmar Scherzer and Cong Shi},
journal= {arXiv preprint arXiv:1705.07466},
year = {2018}
}