Electrical Impedance Tomography for Piecewise Constant Domains Using Boundary Element Shape-Based Inverse Solutions

2007 ◽  
Vol 26 (5) ◽  
pp. 637-647 ◽  
Author(s):  
S. Babaeizadeh ◽  
D.H. Brooks
Keyword(s):  
Boundary Element ◽  
Electrical Impedance Tomography ◽  
Electrical Impedance ◽  
Impedance Tomography ◽  
Piecewise Constant ◽  
Inverse Solutions ◽  
Constant Domains ◽  
Element Shape

scholarly journals Boundary Element formulation for Electrical Impedance Tomography

2005 ◽  
Vol 14 ◽  
pp. 63-71 ◽  
Author(s):  
M. Clerc ◽  
J.-M. Badier ◽  
G. Adde ◽  
J. Kybic ◽  
T. Papadopoulo
Keyword(s):  
Boundary Element ◽  
Electrical Impedance Tomography ◽  
Electrical Impedance ◽  
Element Formulation ◽  
Impedance Tomography

scholarly journals Numerical determination of anomalies in multifrequency electrical impedance tomography

2018 ◽  
Vol 30 (3) ◽  
pp. 481-504 ◽  
Author(s):  
HABIB AMMARI ◽  
FAOUZI TRIKI ◽  
CHUN-HSIANG TSOU
Keyword(s):  
Electrical Impedance Tomography ◽  
Electrical Impedance ◽  
Extreme Case ◽  
Cauchy Data ◽  
Perfect Conductor ◽  
Impedance Tomography ◽  
Piecewise Constant ◽  
Conductivity Distribution ◽  
Conductivity Profile

The multifrequency electrical impedance tomography consists in retrieving the conductivity distribution of a sample by injecting a finite number of currents with multiple frequencies. In this paper, we consider the case where the conductivity distribution is piecewise constant, takes a constant value outside a single smooth anomaly, and a frequency dependent function inside the anomaly itself. Using an original spectral decomposition of the solution of the forward conductivity problem in terms of Poincaré variational eigenelements, we retrieve the Cauchy data corresponding to the extreme case of a perfect conductor, and the conductivity profile. We then reconstruct the anomaly from the Cauchy data. The numerical experiments are conducted using gradient descent optimization algorithms.

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