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.
@article{arxiv.1405.2679,
title = {Reconstruction and stability in acousto-optic imaging for absorption maps with bounded variation},
author = {Habib Ammari and Loc Hoang Nguyen and Laurent Seppecher},
journal= {arXiv preprint arXiv:1405.2679},
year = {2014}
}