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arXiv · 1403.2883

Probabilistic interpretation of electrical impedance tomography

Petteri Piiroinen·Martin Simon
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Abstract

In this paper, we give probabilistic interpretations of both, the forward and the inverse problem of electrical impedance tomography with possibly anisotropic, merely measurable conductivities: Using the theory of symmetric Dirichlet spaces, Feynman-Kac type formulae corresponding to different electrode models on bounded Lipschitz domains are derived. Moreover, we give a probabilistic interpretation of the Calder\'on inverse conductivity problem in terms of reflecting diffusion processes and their corresponding boundary trace processes.

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Petteri Piiroinen, Martin Simon. 2014-03-12. Probabilistic interpretation of electrical impedance tomography. https://arxiv.org/abs/1403.2883

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