ESTIMATING A CONDUCTIVITY DISTRIBUTION VIA A FEM-BASED NONLINEAR BAYESIAN METHOD

Electrical Impedance Tomography (EIT) of closed conductive media is an ill-posed inverse problem. In order to solve the corresponding direct problem, the Finite Elements Method (FEM) provides good accuracy and preserves the non linear dependence of the observation set upon the co nductivity distribution. In this paper, we show that the Bayesian appr oach presented in [1] for linear inverse imaging problems is also vali d for a non linear problem such as EIT. Our contribution is based on a n edge-preserving Markov model as prior for conductivity distribution. Maximum a posteriori reconstruction results from 40 dB noisy measurem ents (simulated with a finer mesh) yield significant resolution improv ement compared to classical methods.