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In this paper was presented coupling BEM and Set Level methods for identification of unknown shape of interface in electrical impedance tomography (EIT). It's shown how determinate velocity, how extend it, how use it to move interface and finally how to reset level function.
This paper was presented a practical method of solving inverse problems in tomography using neural networks. The methods to detect changes in the size and position of an object inside another object tomography. Computed tomography allows direct, non-invasive diagnosis of brain and other intracranial structures. With this method it is possible to detect intracerebral hemorrhages, tumors, etc.
The traditional Boundary Element Method (BEM) is a collection of numerical techniques for solving some partial differential equations. The classical BEM produces fully populated coefficients matrix. With Galerkin Boundary Element Method (GBEM) is possible to produce the symmetric coefficients matrix. The Fourier BEM is a more general numerical approach and allows to avoid problems with singular integrals...
W artykule zaprezentowano połączenie metody elementów brzegowych i metody zbiorów poziomicowych w poszukiwaniu nieznanego kształtu w elektrycznej tomografii impedancyjnej. Pokazane zostało jak wyznaczyć prędkość na symulowanym brzegu, jak ją rozszerzyć i wykorzystać do przesunięcia brzegu jak również w jaki sposób reinicjować funkcję poziomicową, ostatecznie przedstawiono przykład identyfikujący trzy...
Przedstawiam rozwiązanie problemu prostego dla pola elektrycznego otrzymane z wykorzystaniem metody elementów brzegowych. Funkcja opisująca rozkład przewodnictwa właściwego na rozważanym obszarze przyjmuje dwie różne niezerowe wartości. Proponowane podejście może zostać wykorzystane przy wyznaczaniu rozwiązania zagadnienia odwrotnego w systemie przeznaczonym do monitorowania stanu wałów przeciwpowodziowych...
The boundary element method and the level set method can be used in order to solve the inverse problem for electric field. In this approach the adjoint equation arises in each iteration step. Results of the numerical calculations show that the boundary element method can be applied successfully to obtain approximate solution of the adjoint equation. The proposed solution algorithm is initialized by...
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...
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