Volume 26, 2009Mathematical methods for imaging and inverse problems
|150 - 161
|25 April 2009
Recent progress on Frequency Difference Electrical Impedance Tomography
Department of Computational Science & Engineering, Yonsei University, Korea
2 Institute for Mathematics, Johannes Gutenberg-Universität, 55099 Mainz, Germany
3 College of Electronics and Information, Kyung Hee University, Korea
Although time-difference EIT(tdEIT) has shown promise as a medical EIT imaging technique such as monitoring lung function, static EIT has suffered from forward computational model errors including boundary geometry and electrode positions uncertainty combined with the ill-posed and highly nonlinear nature of the corresponding inverse problem. Since 1980s, there has been great endeavor to create forward computational models with the necessary accuracy required for EIT reconstruction, but these efforts were not successful in clinical environment. This is the main reason why we consider frequency-difference EIT (fdEIT) where we take advantage of frequency dependance of biological tissue by injecting currents with at least two different frequencies. In this article, we review recent progress in fdEIT.
Mathematics Subject Classification: 35R30 / 35J05 / 76Q05
Key words: electrical impedance tomography (EIT) / anomaly detection / factorization method / complex conductivity / weighted frequency-differences.
© EDP Sciences, ESAIM, 2009
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