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Centre for Mathematical Physics and Stochastics
Department of Mathematical Sciences, University of Aarhus

Funded by The Danish National Research Foundation

MPS-RR 2003-1
January 2003

A new direct method for reconstructing isotropic conductivities in the plane


Kim Knudsen


In this paper we describe a new, direct and mathematically exact method for the reconstruction of the isotropic conductivity in a plane body from static electric measurements on the boundary of the body. The method is inspired by a uniqueness proof for the inverse conductivity problem due to Brown-Uhlmann and covers conductivities having essentially one derivative. Moreover, we give a numerical implementation of the algorithm and test the performance on a simple, synthetic example.

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