Increasing stability for optical tomography

TL;DR

This paper investigates how increasing frequency in diffuse optical tomography reduces the problem's ill-posedness, potentially improving stability and reconstruction quality.

Contribution

It demonstrates that increasing frequency decreases the ill-posedness of the DOT inverse problem, offering a new approach to enhance stability.

Findings

Ill-posedness decreases with higher frequency.

Increased frequency improves stability in optical tomography.

Potential for better image reconstruction at higher frequencies.

Abstract

We study the phenomenon of increasing stability in the diffuse optical tomography (DOT). It is well-known that the DOT inverse problem is exponentially ill-posed. In this paper, we show that the ill-posedness decreases when we increase the frequency.