Electrical Impedance Tomography is a technique capable to locate inclusions in a conducting body by means of static measurements collected on its surface. The shape of each defect is determined starting from the estimate of the conductivity changes with respect to a reference configuration. This inverse problem is non-linear and ill-posed and it requires a considerable computational cost, especially when solved by means of iterative algorithms requiring the solution of one direct problem per iteration. In this paper we present a comparison between two different non-iterative methods that are a viable alternative to expensive iterative reconstruction methods. Moreover, for one of these methods, we present also a novel processing algorithm. Numerical experiments confirm the reliability of the proposed methods.