Publication detail
Evaluation of thin layer conductivity in a volume using Electrical Impedance Tomography
DĚDEK, L., DĚDKOVÁ, J.
Original Title
Evaluation of thin layer conductivity in a volume using Electrical Impedance Tomography
English Title
Evaluation of thin layer conductivity in a volume using Electrical Impedance Tomography
Type
conference paper
Language
en
Original Abstract
We propose anew formulation in electrical impedance tomography (EIT) for recovering the surface discontinuous coefficients in an elliptic problem by using the least squares and the Tikhonov regularization. Conductive thin layers of known geometry, but of unknown surface conductivity are immersed in a medium of known volume conductivity. The forward problem is solved by the Finite Element Method (FEM) applied to the discretized continuity equation. It is assumed that the surface conductivity is constant on individual edges of FEM grid. This new method can be applied to solve problems both in medical imaging and in industrial applications, where it can be used for the modelling of anisotropy in conductivity.
English abstract
We propose anew formulation in electrical impedance tomography (EIT) for recovering the surface discontinuous coefficients in an elliptic problem by using the least squares and the Tikhonov regularization. Conductive thin layers of known geometry, but of unknown surface conductivity are immersed in a medium of known volume conductivity. The forward problem is solved by the Finite Element Method (FEM) applied to the discretized continuity equation. It is assumed that the surface conductivity is constant on individual edges of FEM grid. This new method can be applied to solve problems both in medical imaging and in industrial applications, where it can be used for the modelling of anisotropy in conductivity.
Keywords
inverse problems, impedance tomograpy, electric field
RIV year
2004
Released
01.01.2004
Publisher
VUTIUM Press, Brno
Location
Brno
ISBN
80-214-2633-0
Book
Analysis of biomedical signals and images, 17th int. Eurasip conference
Pages from
173-175
Pages count
3
URL
J. Dědková, UTEE FEKT VUT Brno
Documents
BibTex
@inproceedings{BUT11489,
author="Libor {Dědek} and Jarmila {Dědková}",
title="Evaluation of thin layer conductivity in a volume using Electrical Impedance Tomography",
annote="We propose anew formulation in electrical impedance tomography (EIT) for recovering the surface discontinuous coefficients in an elliptic problem by using the least squares and the Tikhonov regularization. Conductive thin layers of known geometry, but of unknown surface conductivity are immersed in a medium of known volume conductivity. The forward problem is solved by the Finite Element Method (FEM) applied to the discretized continuity equation. It is assumed that the surface conductivity is constant on individual edges of FEM grid. This new method can be applied to solve problems both in medical imaging and in industrial applications, where it can be used for the modelling of anisotropy in conductivity.",
address="VUTIUM Press, Brno",
booktitle="Analysis of biomedical signals and images, 17th int. Eurasip conference",
chapter="11489",
institution="VUTIUM Press, Brno",
year="2004",
month="january",
pages="173-175",
publisher="VUTIUM Press, Brno",
type="conference paper"
}