The Factorization Method for Electrical Impedance Tomography Data from a New Planar Device

Azzouz, Mustapha; Hanke, Martin; Oesterlein, Chantal; Schilcher, Karl

doi:https://doi.org/10.1155/2007/83016

International Journal of Biomedical Imaging

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Mathematics in Biomedical Imaging

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Research Article | Open Access

Volume 2007 | Article ID 083016 | https://doi.org/10.1155/2007/83016

The Factorization Method for Electrical Impedance Tomography Data from a New Planar Device

Mustapha Azzouz,¹Martin Hanke,²Chantal Oesterlein,²and Karl Schilcher¹

Academic Editor: Alfred Karl Louis

Received19 Sept 2006

Revised28 Jan 2007

Accepted11 Apr 2007

Published31 May 2007

Abstract

We present numerical results for two reconstruction methods for a new planar electrical impedance tomography device. This prototype allows noninvasive medical imaging techniques if only one side of a patient is accessible for electric measurements. The two reconstruction methods have different properties: one is a linearization-type method that allows quantitative reconstructions; the other one, that is, the factorization method, is a qualitative one, and is designed to detect anomalies within the body.

References

D. S. Holder, Ed., Electrical Impedance Tomography, Institute of Physics, Bristol, UK, 2005.
View at: Google Scholar
J. L. Mueller, D. Isaacson, and J. C. Newell, “A reconstruction algorithm for electrical impedance tomography data collected on rectangular electrode arrays,” IEEE Transactions on Biomedical Engineering, vol. 46, no. 11, pp. 1379–1386, 1999.
View at: Publisher Site | Google Scholar
V. A. Cherepenin, A. Y. Karpov, and A. V. Korjenevsky et al., “Three-dimensional EIT imaging of breast tissues: system design and clinical testing,” IEEE Transactions on Medical Imaging, vol. 21, no. 6, pp. 662–667, 2002.
View at: Publisher Site | Google Scholar
Y. Zou and Z. Guo, “A review of electrical impedance techniques for breast cancer detection,” Medical Engineering and Physics, vol. 25, no. 2, pp. 79–90, 2003.
View at: Publisher Site | Google Scholar
J. C. Newell, D. G. Gisser, and D. Isaacson, “An electric current tomography,” IEEE Transactions on Biomedical Engineering, vol. 35, no. 10, pp. 828–833, 1988.
View at: Publisher Site | Google Scholar
R. Kress, Linear Integral Equations, Springer, New York, NY, USA, 1999.
View at: Google Scholar
K. Paulson, W. Lionheart, and M. Pidcock, “POMPUS: an optimized EIT reconstruction algorithm,” Inverse Problems, vol. 11, no. 2, pp. 425–437, 1995.
View at: Publisher Site | Google Scholar
M. Hanke and M. Brühl, “Recent progress in electrical impedance tomography,” Inverse Problems, vol. 19, no. 6, pp. S65–S90, 2003.
View at: Publisher Site | Google Scholar | MathSciNet
C. Oesterlein, “Elektrische Impedanztomographie—Implementierung der Faktorisierungsmethode für ein konkretes Messgerät,” Diploma thesis, Universität Mainz, Mainz, Germany, 2006.
View at: Google Scholar
B. Gebauer, “The factorization method for real elliptic problems,” Zeitschrift für Analysis und ihre Anwendung, vol. 25, no. 1, pp. 81–102, 2006.
View at: Google Scholar
A. Kirsch, “The factorization method for a class of inverse elliptic problems,” Mathematische Nachrichten, vol. 278, no. 3, pp. 258–277, 2005.
View at: Publisher Site | Google Scholar | MathSciNet
M. Brühl and M. Hanke, “Numerical implementation of two noniterative methods for locating inclusions by impedance tomography,” Inverse Problems, vol. 16, no. 4, pp. 1029–1042, 2000.
View at: Publisher Site | Google Scholar | MathSciNet
M. Hanke and B. Schappel, “The factorization method for electrical impedance tomography in the half space,” submitted in SIAM Journal on Applied Mathematics.
View at: Google Scholar
B. Schappel, “Die Faktorisierungsmethode für die elektrische Impedanztomographie im Halbraum,” Dissertation, Universität Mainz, Mainz, Germany, 2005, http://nbn-resolving.de/urn/resolver.pl?urn=urn:nbn:de:hebis:77-7427.
View at: Google Scholar

Copyright

Copyright © 2007 Mustapha Azzouz et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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