NUMERICAL SOLUTION OF A REGULARIZED WEIGHTED MEAN CURVATURE FLOW PROBLEM FOR ELECTRICAL CONDUCTIVITY IMAGING

摘要

We propose a new approach to the numerical solution of a coupled physics inverse conductivity problem underlying current density impedance imaging (CDII), which is one of the coupled physics electrical conductivity imaging modalities which has emerged recently in medical diagnostics. The approach is based on a regularized weighted mean curvature flow problem, which is considered to be a novel mathematical model of CDII. It is an alternative to an existing model based on the weighted least gradient problem relative to the Dirichlet condition. A numerical study is performed to demonstrate the consistency and computational feasibility of the regularized weighted mean curvature model presented.