Construction of indistinguishable conductivity perturbations for the point electrode model in electrical impedance tomography

Lucas Chesnel; Nuutti Hyvönen; Stratos Staboulis

doi:10.1137/15M1006404

Construction of indistinguishable conductivity perturbations for the point electrode model in electrical impedance tomography

Lucas Chesnel
, Nuutti Hyvönen
, Stratos Staboulis

Department of Mathematics and Systems Analysis
Aalto University
Department of Mathematics and Statistics
University of Helsinki

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

We explain how to build indistinguishable isotropic 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.

Original language	English
Pages (from-to)	2093-2109
Number of pages	17
Journal	SIAM Journal on Applied Mathematics
Volume	75
Issue number	5
DOIs	https://doi.org/10.1137/15M1006404
Publication status	Published - 1 Jan 2015

Keywords

Complete electrode model
Electrical impedance tomography
Elliptic boundary value problems
Invisibility
Localized current sources
Point electrode model

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10.1137/15M1006404

Cite this

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title = "Construction of indistinguishable conductivity perturbations for the point electrode model in electrical impedance tomography",

abstract = "We explain how to build indistinguishable isotropic 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.",

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AB - We explain how to build indistinguishable isotropic 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.

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KW - Electrical impedance tomography

KW - Elliptic boundary value problems

KW - Invisibility

KW - Localized current sources

KW - Point electrode model

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Construction of indistinguishable conductivity perturbations for the point electrode model in electrical impedance tomography

Abstract

Keywords

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