Boundary Shape and Electrical Impedance Tomography

Lionheart, William R.B. (1998) Boundary Shape and Electrical Impedance Tomography. Inverse Problems, 14 (1). pp. 139-147. ISSN 0266-5611

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Abstract

In electrical impedance tomography the boundary shape is often inaccurately known. If the boundary shape is wrong (in a three-dimensional problem) there will not generally be an isotropic conductivity which fits the current and voltage data. Both the conductivity and boundary shape can be determined by electrical data together with three spatial measurements. In two dimensions errors in boundary shape could be accounted for by a change in conductivity, but not if the length scale on the boundary is also known.

Item Type:	Article
Additional Information:	This PDF is from the original submission which was a MS Word document. The published version may differ slightly
Uncontrolled Keywords:	Boundary shape, electrical impedance tomography, conformal diffeomorphism
Subjects:	MSC 2010, the AMS's Mathematics Subject Classification > 35 Partial differential equations MSC 2010, the AMS's Mathematics Subject Classification > 53 Differential geometry
Depositing User:	Prof WRB Lionheart
Date Deposited:	09 Mar 2008
Last Modified:	20 Oct 2017 14:12
URI:	https://eprints.maths.manchester.ac.uk/id/eprint/1051

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