Comparison of the Newton-Raphson and the spectral expansion impedance tomography reconstruction algorithms

Impedance tomography reconstruction algorithms estimate the impedance distribution of a body segment from impedance measurements between electrodes placed on the surface of the body. Two such algorithms, the modified Newton-Raphson algorithm and the reconstruction procedure offered by the spectral a...

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Bibliographic Details
Published in:IEEE transactions on magnetics 1996-05, Vol.32 (3), p.1286-1289
Main Authors: Vadasz, D., Sebestyen, H.
Format: Article
Language:English
Subjects:
Algorithm design and analysis
Computers in experimental physics
Data presentation and visualization: algorithms and implementation
Electrical and electronic components, instruments and techniques
Electrodes
Exact sciences and technology
Impedance measurement
Instruments, apparatus, components and techniques common to several branches of physics and astronomy
Physics
Reconstruction algorithms
Spectral analysis
Surface impedance
Surface reconstruction
Tomography
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Summary:Impedance tomography reconstruction algorithms estimate the impedance distribution of a body segment from impedance measurements between electrodes placed on the surface of the body. Two such algorithms, the modified Newton-Raphson algorithm and the reconstruction procedure offered by the spectral analysis method are compared both numerically and analytically. It is found that if the two methods are regularised equivalently, then the spectral reconstruction is identical to one step of the Newton-Raphson algorithm. The formulas of the equivalent regularisation are given. This finding allows the transfer of regularisation methods between the two reconstruction algorithms.
ISSN:0018-9464
1941-0069
DOI:10.1109/20.497480