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

2014/05/12 by Habib Ammari, Ammari, Habib, Loc Hoang Nguyen +3
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP

paper · pdf · doi:10.48550/arxiv.1405.2679

arxiv created 2014/05/12 · arxiv updated 2014/05/13

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.

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