Electrode boundary conditions and experimental validation for BEM-based EIT forward and inverse solutions

In this paper, we present theoretical developments and experimental results for the problem of estimating the conductivity map inside a volume using electrical impedance tomography (EIT) when the boundary locations of any internal inhomogeneities are known. We describe boundary element method (BEM)...

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Bibliographic Details
Published in:IEEE transactions on medical imaging 2006-09, Vol.25 (9), p.1180-1188
Main Authors: Babaeizadeh, S., Brooks, D.H., Isaacson, D., Newell, J.C.
Format: Article
Language:English
Subjects:
Algorithms
Boundary conditions
Boundary element method
Boundary element methods
Computer Simulation
Conductivity
Electric Impedance
electrical impedance tomography
electrode models
Electrodes
experimental validation
Image Interpretation, Computer-Assisted - methods
Imaging phantoms
Impedance
inverse problem
Inverse problems
Jacobian matrices
Mathematical models
Models, Biological
Phantoms, Imaging
Plethysmography, Impedance - methods
Studies
Testing
Tomography
Tomography - methods
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Summary:In this paper, we present theoretical developments and experimental results for the problem of estimating the conductivity map inside a volume using electrical impedance tomography (EIT) when the boundary locations of any internal inhomogeneities are known. We describe boundary element method (BEM) implementations of advanced electrode models for the forward problem of EIT. We then use them in the inverse problem with known internal boundaries and derive the associated Jacobians. We report on the results of two EIT phantom studies, one using a homogeneous cubical tank, and one using a cylindrical tank with agar conductivity inhomogeneities. We test both the accuracy of our BEM forward model, including the electrode models, as well as our inverse solution, against the measured data. Results show good agreement between measured values and both forward-computed tank voltages and inverse-computed conductivities; for instance, in a phantom experiment, we reconstructed the conductivities of three agar objects inside a cylindrical tank with an error less than 2% of their true value
ISSN:0278-0062
1558-254X
DOI:10.1109/TMI.2006.879957