We introduce a novel inversion algorithm for electrical impedance tomography in two dimensions, based on a model reduction approach. The reduced models are resistor networks that arise in five point stencil discretizations of the elliptic partial differential equation satisfied by the electric potential, on adaptive grids that are computed as part of the problem. We prove the unique solvability...

In this work we present a parallel method for the solution of the inverse problem associated to Electrical Impedance Tomography (EIT). This technique tries to recover the spatial distribution of electrical conductivity in the interior of a body from electric potential measurements taken on the external boundary of the body. The problem we address in this work consists in estimating the shape an...

We report on the development of a new software package for image reconstruction in threedimensional Electrical Impedance Tomography (EIT). Designed for large-scale computations, the software includes mesh generation utilities, a simulator of the quasi-static electrical potential fields based on finite elements and regularized inversion algorithms. We describe in brief some of its main functions...

We survey mathematical developments in the inverse method of Electrical Impedance Tomography which consists in determining the electrical properties of a medium by making voltage and current measurements at the boundary of the medium. In the mathematical literature this is also known as Calderón’s problem from Calderón’s pioneer contribution [23]. We concentrate this article around the topic of...

Magnetic resonance-electrical impedance tomography (MR-EIT) is a conductivity imaging method based on injecting currents into the object. In this study, a new MR-EIT method, whereby currents are induced inside the object by using external coils, is proposed. This new method is called induced current magnetic resonance-electrical impedance tomography. In induced current MR-EIT surface electrodes...

A level set based shape and topology optimization approach to electrical impedance tomography (EIT) problems with piecewise constant conductivities is introduced. The proposed solution algorithm is initialized by using topological sensitivity analysis. Then it relies on the notion of shape derivatives to update the shape of the domains where the conductivity takes its different values.

The first step of medical treatment is the diagnosis. This investigation is focused on some fundamental mathematical and physical characteristics of such diagnostic tool, namely the Electrical Impedance Tomography (EIT), a subject of great scientific and public interest (Holder, 2005; Brown, 2003; Lionheart, 2004). The basic EIT’s assumption is that different biological tissues can be distingui...

This paper reports the results of tests where electrical impedance tomography (EIT) was evaluated as a tool for detecting and locating buried unexploded ordnance (UXO). The method relies on the electrolytic polarization induced at the boundary between soil and buried metal. This induced polarization (IP) produces a measurable phase delay between the electric current imposed on the subsurface an...

Magnetic resonance electrical impedance tomography (MREIT) is a recently developed imaging technique that combines MRI and electrical impedance tomography (EIT). In MREIT, cross-sectional electrical conductivity images are reconstructed from the internal magnetic field density data produced inside an electrically conducting subject when an electrical current is injected into the subject. In thi...

We have proposed a new imaging modality, magnetoacoustic tomography with magnetic stimulation (MAT-MS) to image the electrical impedance distribution. In this paper we report out pilot experimental study. In MAT-MS, the tissue is put in a static magnetic field and a pulsed ( s μ ) magnetic field. The pulsed magnetic field induces eddy current in the tissue. Consequently, the tissue will emit ul...