On the resolving power of electrical impedance tomography

Abstract

The resolving power of data is an essential question in most inverse problems and in many cases it can be estimated by very simple, often well-known, methods. In this paper the resolving power of measurements on the boundary of a domain is estimated for electrical impedance tomography. The data used are the values of a single pair of injected electric current and the corresponding induced boundary potential, together with the boundary values of the electrical conductivity. We apply a linear analysis to an integral equation method recently introduced in the study of this inverse conductivity problem.