A three-stage method for reconstructing multiple coefficients in coupled photoacoustic and diffuse optical imaging

TL;DR

This paper introduces a three-stage method for reconstructing multiple coefficients in coupled photoacoustic and diffuse optical imaging, improving accuracy and enabling unique recovery of all coefficients through optical data integration.

Contribution

The paper presents a novel three-stage reconstruction approach that simultaneously recovers absorption, diffusion, and Gr"uneisen coefficients using combined photoacoustic and optical measurements.

Findings

Adding optical measurements improves coefficient reconstruction accuracy.

Known Gr"uneisen coefficient enhances scattering and absorption estimates.

Optical current data enables unique recovery of all coefficients.

Abstract

This paper studies inverse problems in quantitative photoacoustic tomography with additional optical current data supplemented from diffuse optical tomography. We propose a three-stage image reconstruction method for the simultaneous recovery of the absorption, diffusion, and Gr\"uneisen coefficients. We demonstrate, through numerical simulations, that: (i) when the Gr\"uneisen coefficient is known, the addition of the optical measurements allows a more accurate reconstruction of the scattering and absorption coefficients; and (ii) when the Gr\"uneisen coefficient is not known, the addition of optical current measurements allows us to reconstruct uniquely the Gr\"uneisen, the scattering and absorption coefficients. Numerical simulations based on synthetic data are presented to demonstrate the effectiveness of the proposed idea.