Shape Deformation in Two-Dimensional Electrical Impedance Tomography

Boyle, Alistair and Adler, Andy and Lionheart, William R.B. (2012) Shape Deformation in Two-Dimensional Electrical Impedance Tomography. IEEE Transactions of Medical Imaging. (Submitted)

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Abstract

Electrical Impedance Tomography (EIT) uses mea- surements from surface electrodes to reconstruct an image of the conductivity of the contained medium. However, changes in measurements result from both changes in internal conductivity and changes in the shape of the medium relative to the electrode positions. Failure to account for shape changes results in a conductivity image with significant artifacts. Previous work to address shape changes in EIT has shown that in some cases boundary shape and electrode location can be uniquely deter- mined for isotropic conductivities; however, for geometrically conformal changes, this is not possible. This prior work has shown that the shape change problem can be partially addressed. In this paper, we explore the limits of compensation for boundary movement in EIT using three approaches: first, a theoretical model was developed to separate a deformation vector field into conformal and non-conformal components, from which the reconstruction limits may be determined; next, finite element models were used to simulate EIT measurements from a domain whose boundary has been deformed; finally, an experimental phantom was constructed from which boundary deformation measurements were acquired. Results, both in simulation and with experimental data, suggest that some electrode movement and boundary distortions can be reconstructed based on conduc- tivity changes alone while reducing image artifacts in the process.

Item Type: Article
Uncontrolled Keywords: electrical impedance tomography, shape deformation, inverse problems
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 31 Potential theory
MSC 2010, the AMS's Mathematics Subject Classification > 35 Partial differential equations
PACS 2010, the AIP's Physics and Astronomy Classification Scheme > 40 ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID MECHANICS > 41 Electromagnetism; electron and ion optics
Depositing User: Prof WRB Lionheart
Date Deposited: 10 May 2012
Last Modified: 20 Oct 2017 14:13
URI: http://eprints.maths.manchester.ac.uk/id/eprint/1827

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