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"
}