arXiv:math/0408237 [math.AP]AbstractReferencesReviewsResources
Inverse conductivity problem with an imperfectly known boundary
Ville Kolehmainen, Matti Lassas, Petri Ola
Published 2004-08-18Version 1
We show how to eliminate the error caused by an incorrectly modeled boundary in electrical impedance tomography (EIT). In practical measurements, one usually lacks the exact knowledge of the boundary. Because of this the numerical reconstruction from the measured EIT data is done using a model domain that represents the best guess for the true domain. However, it has been noticed that the inaccurate model of the boundary causes severe errors for the reconstructions. We introduce a new algorithm to find a deformed image of the original isotropic conductivity based on the theory of Teichmuller spaces and implement it numerically.
Related articles: Most relevant | Search more
arXiv:1905.10367 [math.AP] (Published 2019-05-24)
The inverse conductivity problem via the calculus of functions of bounded variation
arXiv:math/0606640 [math.AP] (Published 2006-06-26)
The inverse conductivity problem with an imperfectly known boundary in three dimensions
arXiv:1205.3071 [math.AP] (Published 2012-05-14)
Simultaneous reconstruction of outer boundary shape and admittivity distribution in electrical impedance tomography