A new direct method for reconstructing isotropic conductivities in the plane.
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.
Knudsen
Kim
K
Department of Mathematical Sciences and MaPhySto, Aalborg University, Fredrik Bajers Vej 7G, 9220 Aalborg O, Denmark. kim@math.auc.dk
D000465:Algorithms; D004553:Electric Conductivity; D017097:Electric Impedance; D006801:Humans; D008954:Models, Biological; D055672:Static Electricity