Detail publikace

# A New Algorithm for Electrical Impedance Tomography Inverse Problem

Originální název

A New Algorithm for Electrical Impedance Tomography Inverse Problem

Anglický název

A New Algorithm for Electrical Impedance Tomography Inverse Problem

Jazyk

en

Originální abstrakt

This paper proposes new technique for solution of electrical impedance tomography inverse problems. Usually, a set of voltage measurements is acquired from the boundaries of an investigated volume, whilst this is subjected to a sequence of low-frequency current patterns. In principle, measuring both the amplitude and the phase angle of the voltage can result in images of the electric conductivity and permittivity in the interior of a body. Alternating current patterns are preferred to DC to avoid polarization effects. In the usual frequency range (below 1 MHz) the field can be considered a steady current field, which is governed by the Laplace equation. It is well known that while the forward problem is well-posed, the inverse problem is nonlinear and highly ill-posed. The recently described methods are often based on deterministic or stochastic approach to solve mainly 2D problems. The aim of this paper is to present a new way for a successful image reconstruction to obtain high-quality reconstruction in electrical impedance tomography problems. Numerical results of an image reconstruction based on new technique are presented and compared.

Anglický abstrakt

This paper proposes new technique for solution of electrical impedance tomography inverse problems. Usually, a set of voltage measurements is acquired from the boundaries of an investigated volume, whilst this is subjected to a sequence of low-frequency current patterns. In principle, measuring both the amplitude and the phase angle of the voltage can result in images of the electric conductivity and permittivity in the interior of a body. Alternating current patterns are preferred to DC to avoid polarization effects. In the usual frequency range (below 1 MHz) the field can be considered a steady current field, which is governed by the Laplace equation. It is well known that while the forward problem is well-posed, the inverse problem is nonlinear and highly ill-posed. The recently described methods are often based on deterministic or stochastic approach to solve mainly 2D problems. The aim of this paper is to present a new way for a successful image reconstruction to obtain high-quality reconstruction in electrical impedance tomography problems. Numerical results of an image reconstruction based on new technique are presented and compared.

BibTex

``````
@inproceedings{BUT31438,
author="Tomáš {Kříž} and Jarmila {Dědková}",
title="A New Algorithm for Electrical Impedance Tomography Inverse Problem",
annote="This paper proposes new technique for solution of electrical impedance tomography inverse problems. Usually, a set of voltage measurements is acquired from the boundaries of an investigated volume, whilst this is subjected to a sequence of low-frequency current patterns. In principle, measuring both the amplitude and the phase angle of the voltage can result in images of the electric conductivity and permittivity in the interior of a body. Alternating current patterns are preferred to DC to avoid polarization effects. In the usual frequency range (below 1 MHz) the field can be considered a steady current field, which is governed by the Laplace equation. It is well known that while the forward problem is well-posed, the inverse problem is nonlinear and highly ill-posed. The recently described methods are often based on deterministic or stochastic approach to solve mainly 2D problems. The aim of this paper is to present a new way for a successful image reconstruction to obtain high-quality reconstruction in electrical impedance tomography problems. Numerical results of an image reconstruction based on new technique are presented and compared.",