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

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 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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https://hal.archives-ouvertes.fr/hal-03628613
Contributor : Laurent Seppecher Connect in order to contact the contributor
Submitted on : Saturday, April 2, 2022 - 4:33:55 PM
Last modification on : Saturday, September 24, 2022 - 3:36:05 PM
Long-term archiving on: : Sunday, July 3, 2022 - 6:18:12 PM

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Habib Ammari, Loc Hoang Nguyen, L. Seppecher. Reconstruction and stability in acousto-optic imaging for absorption maps with bounded variation. Journal of Functional Analysis, 2014, ⟨10.1016/j.jfa.2014.09.029⟩. ⟨hal-03628613⟩

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