Statistical Estimation of Interface-boundary Shapes from Electrical Impedance Tomographic Measurements.

Using a recently-developed boundary element approach for electrical impedance tomography the identification of boundary shapes between materials of contrasting conductivity is considered. The examples considered are motivated by the desire to locate damages in filter and catalyst beds in industrial processes, but they are also applicable in many applications areas where the unknown location of a boundary is sought. The approach to reconstruction of the boundary location is statistical and is based upon Markov chain Monte Carlo techniques. The degree of accuracy and reliability of the reconstructed estimates is quantified through credible intervals. The results demonstrate that the proposed methods are well suited for shape estimation from electrical impedance tomography data.