scholarly journals Numerical implementation of the factorization method within the complete electrode model of electrical impedance tomography

2007 ◽  
Vol 1 (2) ◽  
pp. 299-317 ◽  
Author(s):  
Nuutti Hyvönen ◽  
◽  
Harri Hakula ◽  
Sampsa Pursiainen
Keyword(s):  
Electrical Impedance Tomography ◽  
Electrical Impedance ◽  
Factorization Method ◽  
Numerical Implementation ◽  
Impedance Tomography ◽  
Complete Electrode Model

JUSTIFICATION OF POINT ELECTRODE MODELS IN ELECTRICAL IMPEDANCE TOMOGRAPHY

2011 ◽  
Vol 21 (06) ◽  
pp. 1395-1413 ◽  
Author(s):  
MARTIN HANKE ◽  
BASTIAN HARRACH ◽  
NUUTTI HYVÖNEN
Keyword(s):  
Electrical Impedance Tomography ◽  
Electrical Impedance ◽  
Analogous Result ◽  
Real Life ◽  
Point Sources ◽  
Reconstruction Problem ◽  
Contact Impedance ◽  
Impedance Tomography ◽  
Point Electrode ◽  
Complete Electrode Model

The most accurate model for real-life electrical impedance tomography is the complete electrode model, which takes into account electrode shapes and (usually unknown) contact impedances at electrode-object interfaces. When the electrodes are small, however, it is tempting to formally replace them by point sources. This simplifies the model considerably and completely eliminates the effect of contact impedance. In this work we rigorously justify such a point electrode model for the important case of having difference measurements ("relative data") as data for the reconstruction problem. We do this by deriving the asymptotic limit of the complete model for vanishing electrode size. This is supplemented by an analogous result for the case that the distance between two adjacent electrodes also tends to zero, thus providing a physical interpretation and justification of the so-called backscattering data introduced by two of the authors.

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