Polynomial collocation for handling an inaccurately known measurement configuration in electrical impedance tomography
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Journal ISSN
Volume Title
A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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Date
2017
Major/Subject
Mcode
Degree programme
Language
en
Pages
22
202-223
202-223
Series
SIAM JOURNAL ON APPLIED MATHEMATICS, Volume 77, issue 1
Abstract
The objective of electrical impedance tomography is to reconstruct the internal conductivity of a physical body based on measurements of current and potential at a finite number of electrodes attached to its boundary. Although the conductivity is the quantity of main interest in impedance tomography, a real-world measurement configuration includes other unknown parameters as well: The information on the contact resistances, electrode positions, and body shape is almost always incomplete. In this work, the dependence of the electrode measurements on all aforementioned model properties is parametrized via polynomial collocation. The availability of such a parametrization enables efficient simultaneous reconstruction of the conductivity and other unknowns by a Newton-type output least squares algorithm, which is demonstrated by two-dimensional numerical experiments based on both noisy simulated data and experimental data from two water tanks.Description
Keywords
Bayesian inversion, Complete electrode model, Electrical impedance tomography, Inaccurate measurement model, Polynomial collocation, Uncertainty quantification
Other note
Citation
Hyvönen, N, Kaarnioja, V, Mustonen, L & Staboulis, S 2017, ' Polynomial collocation for handling an inaccurately known measurement configuration in electrical impedance tomography ', SIAM Journal on Applied Mathematics, vol. 77, no. 1, pp. 202-223 . https://doi.org/10.1137/16M1068888
