Reconstruction formulas for Photoacoustic Imaging in Attenuating Media
arXiv:1705.07466 · doi:10.1088/1361-6420/aa9ade
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.