Reconstructions in Ultrasound Modulated Optical Tomography

TL;DR

This paper develops a mathematical model and reconstruction method for ultrasound modulated optical tomography, demonstrating the ability to recover sharp features of the optical absorption coefficient with stable numerical results.

Contribution

It introduces a new mathematical model and a simple reconstruction scheme for ultrasound modulated optical tomography, highlighting stability and sharp feature recovery.

Findings

Reconstruction of sharp features is feasible.

The model exhibits stability explained by a Fredholm operator.

Numerical results confirm the effectiveness of the method.

Abstract

We introduce a mathematical model for ultrasound modulated optical tomography and present a simple reconstruction scheme for recovering the spatially varying optical absorption coefficient from scanning measurements with narrowly focused ultrasound signals. Computational results for this model show that the reconstruction of sharp features of the absorption coefficient is possible. A formal linearization of the model leads to an equation with a Fredholm operator, which explains the stability observed in our numerical experiments.