scholarly journals DETECTION OF AIR GAPS IN COPPER-MINE CEILING BY ELECTRICAL IMPEDANCE TOMOGRAPHY

2017 ◽  
Vol 7 (1) ◽  
pp. 84-87
Author(s):  
Tomasz Rymarczyk ◽  
Paweł Tchórzewski ◽  
Jan Sikora
Keyword(s):  
Inverse Problem ◽  
Boundary Element Method ◽  
Boundary Element ◽  
Electrical Impedance Tomography ◽  
Electrical Impedance ◽  
Order Approximation ◽  
Impedance Tomography ◽  
Air Gaps ◽  
Copper Mine ◽  
Element Method

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.

scholarly journals Boundary element method and simulated annealing algorithm applied to electrical impedance tomography image reconstruction

2013 ◽  
Vol 35 (2) ◽  
Author(s):  
Olavo H. Menin ◽  
Vanessa Rolnik ◽  
Alexandre S. Martinez
Keyword(s):  
Simulated Annealing ◽  
Boundary Element Method ◽  
Image Reconstruction ◽  
Boundary Element ◽  
Electrical Impedance Tomography ◽  
Electrical Impedance ◽  
Simulated Annealing Algorithm ◽  
Impedance Tomography ◽  
Annealing Algorithm ◽  
Element Method

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.

Sign in / Sign up

Export Citation Format

Share Document