In electrical impedance tomography the boundary shape is often inaccur
ately known. If the boundary shape is wrong (in a three-dimensional pr
oblem) there will not generally be an isotropic conductivity which fit
s the current and voltage data. Both the conductivity and boundary sha
pe can be determined by electrical data together with three spatial me
asurements. In two dimensions errors in boundary shape could be accoun
ted for by a change in conductivity, but not if the length scale on th
e boundary is also known.