# Reconstruction formulas for Photoacoustic Imaging in Attenuating Media

## TL;DR

This paper develops explicit reconstruction formulas for photoacoustic imaging in weakly attenuating media, analyzes their stability, and demonstrates their effectiveness through numerical experiments.

## Contribution

It introduces new explicit formulas for photoacoustic inversion in attenuating media and provides a numerical algorithm validated by experiments.

## Key findings

- Reconstruction formulas are moderately ill-posed.
- Numerical algorithm successfully images in attenuating media.
- Feasibility demonstrated through numerical experiments.

## 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.

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Source: https://tomesphere.com/paper/1705.07466