Exploiting markov random field and an extended range linear approximation for 2D inverse scattering problems

As it is based on the solution of an ill-posed and nonlinear inverse scattering problem, in microwave tomography the reconstruction performances may be impaired from the complexity of the scenarios to be considered in the modern applications. On the other side, as shown in the following, the joint adoption of convenient regularization schemes and a suitable rewriting of the scattering equation can allow to achieve satisfactory solutions in many cases of interest, thus avoiding to solve the problem in its fully non-linearity. In this communication, an innovative inversion approach which takes definite advantage from the joint use of the (linearized) contrast sourceextended born model (CS-EB), and from a Markov random field (MRF) based regularization scheme is proposed.