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Local inversions in ultrasound-modulated optical tomography
Journal article   Open access   Peer reviewed

Local inversions in ultrasound-modulated optical tomography

Guillaume Bal and Shari Moskow
Inverse problems, v 30(2), pp 25005-17
28 Jan 2014
url
https://arxiv.org/abs/1303.5178View

Abstract

coupled-physics inverse problem elliptic theory generic injectivity hybrid inverse problem systems of partial differential equations ultrasound modulated tomography
Ultrasound-modulated optical tomography is a hybrid imaging modality that aims to combine the high contrast of optical waves with the high resolution of ultrasound. We follow the model of the influence of ultrasound modulation on the light intensity measurements developed in Bal and Schotland (2010 Phys. Rev. Lett. 104 043902). We present sufficient conditions ensuring that the absorption and diffusion coefficients modeling light propagation can locally be uniquely and stably reconstructed from the corresponding available information. We present an iterative procedure to solve such a problem based on the analysis of linear elliptic systems of redundant partial differential equations.

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Collaboration types
Domestic collaboration
Web of Science research areas
Mathematics, Applied
Physics, Mathematical
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