Reconstruction and stability in acousto-optic imaging for absorption maps with bounded variation

TL;DR

This paper introduces a novel reconstruction scheme and stability analysis for recovering high-contrast absorption maps with bounded variation in acousto-optic imaging, extending previous work on smooth distributions.

Contribution

It presents the first reconstruction and stability results for absorption distributions with bounded variation, advancing mathematical and numerical methods for high-contrast biological tissue imaging.

Findings

Established a new reconstruction scheme for bounded variation absorption maps

Proved stability of the reconstruction process

Extended previous smooth distribution results to high-contrast scenarios

Abstract

The aim of this paper is to propose for the first time a reconstruction scheme and a stability result for recovering from acoustic-optic data absorption distributions with bounded variation. The paper extends earlier results on smooth absorption distributions. It opens a door for a mathematical and numerical framework for imaging, from internal data, parameter distributions with high contrast in biological tissues.