Electrical impedance tomography

Abstract

We review theoretical and numerical studies of the inverse problem of electrical impedance tomography which seeks the electrical conductivity and permittivity inside a body, given simultaneous measurements of electrical currents and potentials at the boundary. (Some figures in this article are in colour only in the electronic version)

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Justification of Point Electrode Models in Electrical Impedance Tomography

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Electrical impedance tomography

Abstract

6 Figures and Tables

Topics

Statistics

333 Citations

Cited By

Inverse problems : A Bayesian perspective

On the Parametrization of Ill-posed Inverse Problems Arising from Elliptic Partial Differential Equations by

Simple hydraulic conductivity estimation by the Kalman filtered double constraint method.

Electromagnetic Imaging Methods for Nondestructive Evaluation Applications

Seiskari Title : Locating multiple inclusions from sweep data of electrical impedance tomography

Diffusive Tomography Methods : Special Boundary Conditions and Characterization of Inclusions

Electrical impedance spectroscopy (EIS)-based evaluation of biological tissue phantoms to study multifrequency electrical impedance tomography (Mf-EIT) systems

Filter Based Methods For Statistical Linear Inverse Problems

Justification of Point Electrode Models in Electrical Impedance Tomography

Adaptive Ablation Treatment Based on Impedance Imaging

References

Inverse boundary value problems at the boundary—continuous dependence Commun

On an inverse boundary value problem Seminar on Numerical Analysis and its applications to Continuum Physics (Soc

A Uniqueness Theorem for an Inverse Problem

Grid refinement and scaling for distributed parameter estimation problems Inverse Problems

An implementation of the reconstruction algorithm of A Nachman for the 2d inverse conductivity problem Inverse Problems

Numerical method for finding the convex hull of an inclusion in conductivity from boundary measurements

Developments in inverse problems since Calderón’s foundational paper Harmonic Analysis and Pa r tial D ifferential E quations (Chicag o L ectures in Math

Uniqueness in the Inverse Conductivity Problem for Nonsmooth Conductivities in Two Dimensions

Global uniqueness for a two-dimensional inverse boundary problem

Stable determination of a crack from boundary measurements

Presentations referencing similar topics

Electrical impedance tomography

Abstract

6 Figures and Tables

Topics

Statistics

333 Citations

Cited By

Inverse problems : A Bayesian perspective

On the Parametrization of Ill-posed Inverse Problems Arising from Elliptic Partial Differential Equations by

Simple hydraulic conductivity estimation by the Kalman filtered double constraint method.

Electromagnetic Imaging Methods for Nondestructive Evaluation Applications

Seiskari Title : Locating multiple inclusions from sweep data of electrical impedance tomography

Diffusive Tomography Methods : Special Boundary Conditions and Characterization of Inclusions

Electrical impedance spectroscopy (EIS)-based evaluation of biological tissue phantoms to study multifrequency electrical impedance tomography (Mf-EIT) systems

Filter Based Methods For Statistical Linear Inverse Problems

Justification of Point Electrode Models in Electrical Impedance Tomography

Adaptive Ablation Treatment Based on Impedance Imaging

References

Inverse boundary value problems at the boundary—continuous dependence Commun

On an inverse boundary value problem Seminar on Numerical Analysis and its applications to Continuum Physics (Soc

A Uniqueness Theorem for an Inverse Problem

Grid refinement and scaling for distributed parameter estimation problems Inverse Problems

An implementation of the reconstruction algorithm of A Nachman for the 2d inverse conductivity problem Inverse Problems

Numerical method for finding the convex hull of an inclusion in conductivity from boundary measurements

Developments in inverse problems since Calderón’s foundational paper Harmonic Analysis and Pa r tial D ifferential E quations (Chicag o L ectures in Math

Uniqueness in the Inverse Conductivity Problem for Nonsmooth Conductivities in Two Dimensions

Global uniqueness for a two-dimensional inverse boundary problem

Stable determination of a crack from boundary measurements

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