Accurate reconstruction algorithm of the complex conductivity distribution in three dimensions

In electrical impedance tomography, an inverse problem has to be solved to reconstruct the complex conductivity distribution κ=σ+jωε. The problem is ill posed, and therefore, a regularization has to be used. The aim is to reconstruct, as accurately as possible, both the electric conductivity σ and the electric permittivity ε in three dimensions using finite elements of the second order for solving the forward problem. To this end, a new reconstruction algorithm based on a priori information has been developed.