Compensation for geometric modeling errors by positioning of electrodes in electrical impedance tomography

Research output: Scientific - peer-reviewArticle

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Compensation for geometric modeling errors by positioning of electrodes in electrical impedance tomography. / Hyvönen, N.; Majander, H.; Staboulis, S.

In: Inverse Problems, Vol. 33, No. 3, 035006, 07.02.2017.

Research output: Scientific - peer-reviewArticle

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Hyvönen, N.; Majander, H.; Staboulis, S. / Compensation for geometric modeling errors by positioning of electrodes in electrical impedance tomography.

In: Inverse Problems, Vol. 33, No. 3, 035006, 07.02.2017.

Research output: Scientific - peer-reviewArticle

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@article{6e5dee4b82d64421aa8d6922789d2ece,
title = "Compensation for geometric modeling errors by positioning of electrodes in electrical impedance tomography",
keywords = "complete electrode model, conformal invariance, electrical impedance tomography, electrode movement, geometric modeling errors, inaccurate measurement model",
author = "N. Hyvönen and H. Majander and S. Staboulis",
year = "2017",
month = "2",
doi = "10.1088/1361-6420/aa59d0",
volume = "33",
journal = "INVERSE PROBLEMS",
issn = "0266-5611",
number = "3",

}

RIS - Download

TY - JOUR

T1 - Compensation for geometric modeling errors by positioning of electrodes in electrical impedance tomography

AU - Hyvönen,N.

AU - Majander,H.

AU - Staboulis,S.

PY - 2017/2/7

Y1 - 2017/2/7

N2 - Electrical impedance tomography aims at reconstructing the conductivity inside a physical body from boundary measurements of current and voltage at a finite number of contact electrodes. In many practical applications, the shape of the imaged object is subject to considerable uncertainties that render reconstructing the internal conductivity impossible if they are not taken into account. This work numerically demonstrates that one can compensate for inaccurate modeling of the object boundary in two spatial dimensions by finding compatible locations and sizes for the electrodes as a part of a reconstruction algorithm. The numerical studies, which are based on both simulated and experimental data, are complemented by proving that the employed complete electrode model is approximately conformally invariant, which suggests that the obtained reconstructions in mismodeled domains reflect conformal images of the true targets. The numerical experiments also confirm that a similar approach does not, in general, lead to a functional algorithm in three dimensions.

AB - Electrical impedance tomography aims at reconstructing the conductivity inside a physical body from boundary measurements of current and voltage at a finite number of contact electrodes. In many practical applications, the shape of the imaged object is subject to considerable uncertainties that render reconstructing the internal conductivity impossible if they are not taken into account. This work numerically demonstrates that one can compensate for inaccurate modeling of the object boundary in two spatial dimensions by finding compatible locations and sizes for the electrodes as a part of a reconstruction algorithm. The numerical studies, which are based on both simulated and experimental data, are complemented by proving that the employed complete electrode model is approximately conformally invariant, which suggests that the obtained reconstructions in mismodeled domains reflect conformal images of the true targets. The numerical experiments also confirm that a similar approach does not, in general, lead to a functional algorithm in three dimensions.

KW - complete electrode model

KW - conformal invariance

KW - electrical impedance tomography

KW - electrode movement

KW - geometric modeling errors

KW - inaccurate measurement model

UR - http://www.scopus.com/inward/record.url?scp=85014594655&partnerID=8YFLogxK

U2 - 10.1088/1361-6420/aa59d0

DO - 10.1088/1361-6420/aa59d0

M3 - Article

VL - 33

JO - INVERSE PROBLEMS

T2 - INVERSE PROBLEMS

JF - INVERSE PROBLEMS

SN - 0266-5611

IS - 3

M1 - 035006

ER -

ID: 13534868