  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
estimating the locations and sizes of 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.
