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arXiv · 1706.03962

Detecting stochastic inclusions in electrical impedance tomography

Andrea Barth·Bastian Harrach·Nuutti Hyvönen·Lauri Mustonen
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Abstract

This work considers the inclusion detection problem of electrical impedance tomography with stochastic conductivities. It is shown that a conductivity anomaly with a random conductivity can be identified by applying the Factorization Method or the Monotonicity Method to the mean value of the corresponding Neumann-to-Dirichlet map provided that the anomaly has high enough contrast in the sense of expectation. The theoretical results are complemented by numerical examples in two spatial dimensions.

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Andrea Barth, Bastian Harrach, Nuutti Hyvönen, Lauri Mustonen. 2017-06-13. Detecting stochastic inclusions in electrical impedance tomography. https://doi.org/10.1088/1361-6420%2Faa8f5c

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