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

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 Grüneisen coefficients. We demonstrate, through numerical simulations, that: (i) when the Grüneisen coefficient is known, the addition of the optical measurements allows a more accurate reconstruction of the scattering and absorption coefficients; and (ii) when the Grüneisen coefficient is not known, the addition of optical current measurements allows us to reconstruct uniquely the Grüneisen, the scattering and absorption coefficients. Numerical simulations based on synthetic data are presented to demonstrate the effectiveness of the proposed idea.