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.