Uniqueness of reconstruction and an inversion procedure for thermoacoustic and photoacoustic tomography

TL;DR

This paper presents a simple, geometry-independent reconstruction method for thermoacoustic and photoacoustic tomography that works with variable sound speed and establishes the uniqueness of the reconstruction.

Contribution

It introduces a straightforward approach applicable to any detector geometry and variable sound speed, along with a proof of uniqueness for the reconstruction.

Findings

Reconstruction method works for arbitrary detector arrangements.

The approach is valid under non-trapping sound speed conditions.

Uniqueness of the reconstruction is theoretically proven.

Abstract

The paper contains a simple approach to reconstruction in Thermoacoustic and Photoacoustic Tomography. The technique works for any geometry of point detectors placement and for variable sound speed satisfying a non-trapping condition. A uniqueness of reconstruction result is also obtained.