“…Multi-phase reconstruction is done where the conductivity values of the inhomogeneous background and that of anomalies are known, and the size, shape and location of the anomalies are unknown. Gauss-Newton method based on level set method in (Soleimani et al, 2006a) and multi-phase framework for image segmentation in (Vese and Chan, 2002;Yanovsky et al, 2007) are employed into multi-phase shape reconstruction. In using a multi-phase level set model, the conductivity distribution can be represented by two level set functions.…”