Reconstruction and stability in acousto-optic imaging for absorption maps with bounded variation |
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| Authors: | Habib Ammari Loc Hoang Nguyen Laurent Seppecher |
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| Affiliation: | 1. Department of Mathematics and Applications, Ecole Normale Supérieure, 45 Rue d''Ulm, 75005 Paris, France;2. Mathematics Section, École Polytechnique Fédérale de Lausanne, Station 8, CH-1015 Lausanne, Switzerland |
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| Abstract: | The aim of this paper is to propose for the first time a reconstruction scheme and a stability result for recovering from acousto-optic data absorption distributions with bounded variation. The paper extends earlier results in [3] and [5] 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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| Keywords: | 35R30 35B30 |
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