Integral representations in electrical impedance tomography using boundary integral operators

Kiwoon Kwon

doi:10.4134/JKMS.2008.45.1.097

Integral representations in electrical impedance tomography using boundary integral operators

Kiwoon Kwon

Department of Mathematics

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

1 Scopus citations

Abstract

Electrical impedance tomography (EIT) problem with anisotropic anomalous region is formulated in a few different ways using boundary integrai operators. The Fréchet derivative of Neumann-to-Dirichlet map is computed also by using boundary integral operators and the boundary of the anomalous region is approximated by trigonometric expansion with Lagrangian basis. The numerical reconstruction is done in case that the conductivity of the anomalous region is isotropic.

Original language	English
Pages (from-to)	97-119
Number of pages	23
Journal	Journal of the Korean Mathematical Society
Volume	45
Issue number	1
DOIs	https://doi.org/10.4134/JKMS.2008.45.1.097
State	Published - Jan 2008

Keywords

Boundary integral operator
Electrical impedance tomography
Neumann-to-Dirichlet map

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10.4134/JKMS.2008.45.1.097

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abstract = "Electrical impedance tomography (EIT) problem with anisotropic anomalous region is formulated in a few different ways using boundary integrai operators. The Fr{\'e}chet derivative of Neumann-to-Dirichlet map is computed also by using boundary integral operators and the boundary of the anomalous region is approximated by trigonometric expansion with Lagrangian basis. The numerical reconstruction is done in case that the conductivity of the anomalous region is isotropic.",

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AB - Electrical impedance tomography (EIT) problem with anisotropic anomalous region is formulated in a few different ways using boundary integrai operators. The Fréchet derivative of Neumann-to-Dirichlet map is computed also by using boundary integral operators and the boundary of the anomalous region is approximated by trigonometric expansion with Lagrangian basis. The numerical reconstruction is done in case that the conductivity of the anomalous region is isotropic.

KW - Boundary integral operator

KW - Electrical impedance tomography

KW - Neumann-to-Dirichlet map

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Integral representations in electrical impedance tomography using boundary integral operators

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Keywords

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