Uniqueness, Shape, and Dimension in EIT

Lionheart, William R (1999) Uniqueness, Shape, and Dimension in EIT. Annals of the New York Academy of Sciences, 873. pp. 466-471.

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We briefly review the known mathematical results on uniqueness of solution in electrical impedance tomography (EIT). Generally, a real or complex conductivity is determined uniquely by complete boundary data. Uniqueness results are also known for planar resistor networks. However, it is common to make gross errors in the forward modeling of the electrical fields and this may result in no consistent solution. In particular, a two-dimensional model is often used when data are collected from a three-dimensional domain. The boundary shape is often inaccurately known, and commonly modeled by a circle. No model conductivity consistent with measured data exists when the dimension or the boundary shape is wrong.

Item Type: Article
Uncontrolled Keywords: Electrical impedance tomography, EIT, Shape, dimension, reconstruction
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 35 Partial differential equations
MSC 2010, the AMS's Mathematics Subject Classification > 47 Operator theory
PACS 2010, the AIP's Physics and Astronomy Classification Scheme > 80 INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY > 87 Biological and medical physics
Depositing User: Prof WRB Lionheart
Date Deposited: 26 Jun 2015
Last Modified: 20 Oct 2017 14:13
URI: https://eprints.maths.manchester.ac.uk/id/eprint/2324

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