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arXiv · 1711.03137

Imaging of isotropic and anisotropic conductivities from power densities in three dimensions

François Monard·Donsub Rim
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Abstract

We present numerical reconstructions of anisotropic conductivity tensors in three dimensions, from knowledge of a finite family of power density functionals. Such a problem arises in the coupled-physics imaging modality Ultrasound Modulated Electrical Impedance Tomography for instance. We improve on the algorithms previously derived in [Bal et al, Inverse Probl Imaging (2013), pp.353-375, Monard and Bal, Comm. PDE (2013), pp.1183-1207] for both isotropic and anisotropic cases, and we address the well-known issue of vanishing determinants in particular. The algorithm is implemented and we provide numerical results that illustrate the improvements.

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François Monard, Donsub Rim. 2018-03-19. Imaging of isotropic and anisotropic conductivities from power densities in three dimensions. https://doi.org/10.1088/1361-6420%2Faabe5a

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