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
JF - Inverse Problems
SN - 0266-5611
IS - 3
M1 - 035006
ER -