Reconstructing the dielectric properties of melanoma in 3D using real-life melanoma model

The paper presents performance of the adaptive domain decomposition finite element/finite difference method for reconstruction of the dielectric permittivity and conductivity functions for 3D real-life melanoma model using measurements of the backscattered electric field at the boundary of the investigated domain. We present several gradient-based reconstruction algorithms which use optimization approach to find stationary point of the Lagrangian. Our computational tests show qualitative and quantitative reconstruction of dielectric permittivity and conductivity functions using realistic model of malign melanoma at 6 GHz in 3D.