An Algorithm for Cavity Reconstruction in Electrical Impedance Tomography

We consider the inverse problem of finding cavities within some object from electrostatic measurements on the boundary.By a cavity we understand any object with a different electrical conductivity from the background material of the body.We give an algorithm for solving this inverse problem based on the output nonlinear least-square formulation and the regularized Newton-type iteration.In particular,we present a number of numerical results to highlight the potential and the limitations of this method.