Electrical impedance tomography

@article{Borcea2002ElectricalIT,
  title={Electrical impedance tomography},
  author={Liliana Borcea},
  journal={Inverse Problems},
  year={2002},
  volume={18}
}
  • L. Borcea
  • Published 25 October 2002
  • Mathematics
  • Inverse Problems
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. 

Figures and Tables from this paper

Source Consistency Electrical Impedance Tomography
In electrical impedance tomography (EIT), multiple electrodes are attached around an imaging domain such as the human thorax to inject currents and measure induced boundary voltages. Using the meas...
An Inverse Problem in Electrical Impedance Tomography
  • A. Kirsch
  • Mathematics
    An Introduction to the Mathematical Theory of Inverse Problems
  • 2021
Electrical impedance tomography (EIT) is a medical imaging technique in which an image of the conductivity (or permittivity) of part of the body is determined from electrical surface measurements.
Numerical solution of the electrical impedance tomography problem with piecewise-constant conductivity and one measurement on the boundary
We consider the electrical impedance tomography problem in a bounded plane region with piecewiseconstant conductivity. The boundary of the nonhomogeneity is assumed unknown. The inverse problem
Recent progress in electrical impedance tomography
We consider the inverse problem of finding cavities within some body from electrostatic measurements on the boundary. By a cavity we understand any object with a different electrical conductivity
Numerical method for solving a two-dimensional electrical impedance tomography problem in the case of measurements on part of the outer boundary
The two-dimensional electrical impedance tomography problem is considered in the case of a piecewise constant electrical conductivity. The task is to determine the unknown boundary separating the
Identifying conductivity in electrical impedance tomography with total variation regularization
TLDR
A variational method with total variation regularization is proposed to tackle the problem of identifying the conductivity in electrical impedance tomography from one boundary measurement and proves the stability and convergence of this technique.
A Review on Electrical Impedance Tomography Spectroscopy
TLDR
A novel imaging method is proposed which could fill some of the gaps found in the literature of EITS, and as an example of an application, EITS of ice and water mixtures is used.
The asymptotic behaviour of weak solutions to the forward problem of electrical impedance tomography on unbounded three‐dimensional domains
The forward problem of electrical impedance tomography on unbounded domains can be studied by introducing appropriate function spaces for this setting. In this paper we derive the point‐wise
Iterative method for solving a three-dimensional electrical impedance tomography problem in the case of piecewise constant conductivity and one measurement on the boundary
The problem of electrical impedance tomography in a bounded three-dimensional domain with a piecewise constant electrical conductivity is considered. The boundary of the inhomogeneity is assumed to
...
...

References

SHOWING 1-10 OF 214 REFERENCES
Determining anisotropic real-analytic conductivities by boundary measurements
If an electrical potential is applied to the surface of a solid body, the current flux across the surface depends on the conductivity in the interior of the body. We want to consider the inverse
Clinical and physiological applications of electrical impedance tomography
TLDR
Brian Brown review of EIT systems available for medical use, Brian Brown an overview of image reconstruction, D.C. Brown in-vivo impedance images using sinusoidal current patterns.
Variational constraints for electrical-impedance tomography.
TLDR
The task of electrical-impedance tomography is to invert boundary measurements for the conductivity distribution of a body so the primary data are the measured powers dissipated across injection electrodes, since these powers are minima of the pertinent (dual) variational principles.
Network Approximation for Transport Properties of High Contrast Materials
We show that the effective complex impedance of materials with conductivity and dielectric permittivity that have high contrast can be calculated approximately by solving a suitable
High-contrast impedance tomography
We introduce an output least-squares method for impedance tomography problems that have regions of high conductivity surrounded by regions of lower conductivity. The high conductivity is modelled on
Integral Geometry in Hyperbolic Spaces and Electrical Impedance Tomography
TLDR
The relation between convolution operators and the totally geodesic Radon transform on hyperbolic spaces is studied and it is shown that the linearized inverse conductivity problem in theRadon transform is linearized.
A uniqueness theorem for an inverse boundary value problem in electrical prospection
We show that a near constant conductivity of a two-dimensional body can be uniquely determined by steady state direct current measurements at the boundary. Mathematically, we show that the
Analysis of electrical conductivity imaging
TLDR
The mathematical feasibility of imaging the electrical conductivity in a cross‐section of an object by numerical inversion of low‐frequency, electromagnetic (EM) boundary data is investigated and demonstrated by computer simulation studies using data generated from the network model.
Impedance computed tomography algorithm and system.
TLDR
This impedance-computed tomography reconstruction process employs the solution of the Poisson equation and makes no assumptions of raylike behavior of the current flow paths.
Layer stripping: a direct numerical method for impedance imaging
An impedance imaging problem is to find the electrical conductivity and permittivity distributions inside a body from measurements made on the boundary. The following experiment is considered: a set
...
...