Reconstruction of inclusion from boundary measurements

TL;DR

This paper presents an exact method for reconstructing the boundary and conductivity of an unknown inclusion using boundary measurements, with applications to elasticity inverse problems.

Contribution

It introduces a novel exact reconstruction procedure for boundary and conductivity of inclusions from localized Dirichlet-to-Neumann data.

Findings

Successful reconstruction of inclusion boundary and conductivity.

Application of method to elasticity inverse boundary value problems.

Provides a new approach for boundary reconstruction in inverse problems.

Abstract

We consider the problem of reconstructing of the boundary of an unknown inclusion together with its conductivity from the localized Dirichlet-to-Neumann map. We give an exact reconstruction procedure and apply the method to an inverse boundary value problem for the system of the equations in the theory of elasticity.