Electrical impedance tomography
@article{Borcea2002ElectricalIT, title={Electrical impedance tomography}, author={Liliana Borcea}, journal={Inverse Problems}, year={2002}, volume={18} }
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.
342 Citations
Source Consistency Electrical Impedance Tomography
- MathematicsSIAM J. Appl. Math.
- 2020
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
- MathematicsAn 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
- Mathematics
- 2013
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
- Mathematics
- 2003
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
- Mathematics
- 2014
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
- MathematicsNumerische Mathematik
- 2018
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
- MathematicsSensors
- 2020
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
- Mathematics
- 2009
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
- Mathematics
- 2012
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…
On the hp-adaptive solution of complete electrode model forward problems of electrical impedance tomography
- MathematicsJ. Comput. Appl. Math.
- 2012
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