A new direct method for reconstructing isotropic conductivities in the plane
- 30 April 2003
- journal article
- Published by IOP Publishing in Physiological Measurement
- Vol. 24 (2) , 391-401
- https://doi.org/10.1088/0967-3334/24/2/351
Abstract
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.Keywords
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