Detection of multiple inclusions from sweep data of electrical impedance tomography

This paper considers detection of conductivity inhomogeneities inside an otherwise homogeneous object by electrical impedance tomography using only two electrodes: one of the electrodes is held fixed, while the other moves around the examined object. Unit current is maintained between the electrodes...

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Bibliographic Details
Published in:Inverse problems 2012-09, Vol.28 (9), p.95014-22
Main Authors: Hyvönen, Nuutti, Seiskari, Otto
Format: Article
Language:English
Subjects:
complete electrode model
Electrical impedance
electrical impedance tomography
Electrodes
Exact sciences and technology
Inclusions
Inhomogeneities
Laurent-Padé approximants
Mathematical analysis
Mathematical models
multiple inclusions
net conductivity effect
Physics
point electrode model
Reconstruction
sweep data
Three dimensional
Tomography
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Summary:This paper considers detection of conductivity inhomogeneities inside an otherwise homogeneous object by electrical impedance tomography using only two electrodes: one of the electrodes is held fixed, while the other moves around the examined object. Unit current is maintained between the electrodes, and the corresponding (relative) potential difference is measured as a function of the position of the dynamic electrode, thus producing so-called sweep data. In two dimensions and with point-like electrodes, the sweep data have previously been shown to extend as a holomorphic function to the exterior of the inhomogeneities. We derive a holomorphic asymptotic expansion for the (extended) sweep data with respect to the size of Lipschitz inclusions with constant conductivity levels. Based on this result, we subsequently introduce a numerical algorithm that locates the inclusions and estimates their strengths by considering the poles and corresponding residues of suitable Laurent-Padé approximants of the sweep data. The functionality of the reconstruction technique is demonstrated via numerical experiments, some of which are three dimensional and or based on simulated complete electrode model measurements.
ISSN:0266-5611
1361-6420
DOI:10.1088/0266-5611/28/9/095014