Construction of invisible conductivity perturbations for the point electrode model in electrical impedance tomography

TL;DR

This paper presents a constructive method to create invisible conductivity perturbations in 2D electrical impedance tomography, enabling the design of perturbations that do not affect measurements, demonstrated through numerical examples.

Contribution

It introduces a fixed point based approach to construct invisible isotropic conductivity perturbations in the point electrode model for 2D EIT.

Findings

Algorithm successfully approximates invisible perturbations.

Numerical examples validate the method's effectiveness.

Constructive approach enables practical implementation.

Abstract

We explain how to build invisible isotropic conductivity perturbations of the unit conductivity in the framework of the point electrode model for two-dimensional electrical impedance tomography. The theoretical approach, based on solving a fixed point problem, is constructive and allows the implementation of an algorithm for approximating the invisible perturbations. The functionality of the method is demonstrated via numerical examples.