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Electrical Impedance Tomography

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Handbook of Mathematical Methods in Imaging

Introduction

Electrical Impedance Tomography (EIT) is the recovery of the conductivity (or conductivity and permittivity) of the interior of a body from a knowledge of currents and voltages applied to its surface. In geophysics, where the method is used in prospecting and archaeology, it is known as electrical resistivity tomography. In industrial process tomography it is known as electrical resistance tomography or electrical capacitance tomography. In medical imaging, when at the time of writing it is still an experimental technique rather than routine clinical practice, it is called EIT. A very similar technique is used by weakly electric fish to navigate and locate prey and in this context it is called electrosensing.

The simplest mathematical formulation of inverse problem of EIT can be stated as follows. Let Ω be a conducting body described by a bounded domain in \({\mathbb{R}}^{n}\), n ≥ 2, with electrical conductivity a bounded and positive function γ(x) (later we will...

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Authors and Affiliations

  1. National University of Singapore, Singapore, Singapore

    Andy Adler

  2. University of Limerick, Limerick, Ireland

    Romina Gaburro

  3. The University of Manchester, Manchester, UK

    William Lionheart

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  1. Andy Adler
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  1. Computational Science Center, University of Vienna, Nordbergstrasse 15, Vienna, Austria

    Otmar Scherzer

  2. RICAM, Austrian Academy of Sciences, Linz, Austria

    Otmar Scherzer

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Adler, A., Gaburro, R., Lionheart, W. (2011). Electrical Impedance Tomography. In: Scherzer, O. (eds) Handbook of Mathematical Methods in Imaging. Springer, New York, NY. https://doi.org/10.1007/978-0-387-92920-0_14

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