On the computational methods employed in two-dimensional Electrical Impedance Tomography

We analyze the State of Art in computational methods, employed for analyzing the two-dimensional Electrical Impedance Tomography problem (EIT). We broach an assortment of techniques that may be considered among the most important innovations on this area, emphasizing that the Finite Element Method has played a central role for solving the forward problem of the Electrical Impedance Equation, backbone of EIT. We finally study a novel numerical method, based onto the modern theory of Pseudoanalytic Functions, that could well improve the quality of the reconstructed images, when applied in lieu of the Finite Element Method.