Application of a Hybrid Genetic/Powell Algorithm and a Boundary Element Method to Electrical Impedance Tomography

2001 ◽  
Vol 173 (2) ◽  
pp. 433-454 ◽  
Author(s):  
Chao-Tsung Hsiao ◽  
Georges Chahine ◽  
Nail Gumerov
Author(s):  
Olavo H. Menin ◽  
Vanessa Rolnik ◽  
Alexandre S. Martinez

Physics has played a fundamental role in medicine sciences, specially in imaging diagnostic. Currently, image reconstruction techniques are already taught in Physics courses and there is a growing interest in new potential applications. The aim of this paper is to introduce to students the electrical impedance tomography, a promising technique in medical imaging. We consider a numerical example which consists in finding the position and size of a non-conductive region inside a conductive wire. We review the electrical impedance tomography inverse problem modeled by the minimization of an error functional. To solve the boundary value problem that arises in the direct problem, we use the boundary element method. The simulated annealing algorithm is chosen as the optimization method. Numerical tests show the technique is accurate to retrieve the non-conductive inclusion.


Author(s):  
Tomasz Rymarczyk ◽  
Paweł Tchórzewski ◽  
Jan Sikora

In this paper, we investigate the inverse problem for the electric field so-called copper mine problem. In general, this task assumes detection of all air gaps. Gaps are localised above ceiling in a copper mine. Such task can be considered as application of the electrical impedance tomography. In order to solve forward problem there was used the boundary element method or the finite element method. The inverse problem is based on the level set method. There was considered extension of boundary element method (BEM). For simplicity zero order approximation has been chosen. The BEM has been connected with the infinite boundary elements. Hence, open domain problems with infinite boundary curves can be analysed. For such domain, we have solved the Dirichlet problem for two-dimensional Laplace’s equation. The proposed numerical model has been verified.


2005 ◽  
Vol 14 ◽  
pp. 63-71 ◽  
Author(s):  
M. Clerc ◽  
J.-M. Badier ◽  
G. Adde ◽  
J. Kybic ◽  
T. Papadopoulo

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