CONSTRUCTION OF INDISTINGUISHABLE CONDUCTIVITY PERTURBATIONS FOR THE POINT ELECTRODE MODEL IN ELECTRICAL IMPEDANCE TOMOGRAPHY

CONSTRUCTION OF INDISTINGUISHABLE CONDUCTIVITY PERTURBATIONS FOR THE POINT ELECTRODE MODEL IN ELECTRICAL IMPEDANCE TOMOGRAPHY

We explain how to build indistinguishable isotropie conductivity perturbations of the unit conductivity in the framework of the point electrode model for two-dimensional electrical impedance tomography. The theoretical approach, based on solving a fixed point problem, is constructive and allows the...

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Veröffentlicht in:SIAM journal on applied mathematics 2015-01, Vol.75 (5), p.2093-2109
Hauptverfasser: CHESNEL, LUCAS, HYVÖNEN, NUUTTI, STABOULIS, STRATOS
Format: Artikel
Sprache:eng
Schlagworte:
Analysis of PDEs
Mathematics
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Zusammenfassung:We explain how to build indistinguishable isotropie conductivity perturbations of the unit conductivity in the framework of the point electrode model for two-dimensional electrical impedance tomography. The theoretical approach, based on solving a fixed point problem, is constructive and allows the implementation of an algorithm for approximating the invisible perturbations. The functionality of the method is demonstrated via numerical examples.
ISSN:0036-1399
1095-712X
DOI:10.1137/15M1006404