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

TL;DR

This paper demonstrates a method for 3D reconstruction of melanoma dielectric properties using adaptive finite element/finite difference techniques and gradient-based optimization, achieving accurate results with real-life models at 6 GHz.

Contribution

It introduces a novel combination of adaptive domain decomposition and gradient-based algorithms for 3D dielectric property reconstruction in melanoma models.

Findings

Successful qualitative and quantitative reconstruction of dielectric properties.

Effective application of the method to realistic melanoma models at 6 GHz.

Validation of the approach with real-life 3D melanoma data.

Abstract

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.