Rekonstrukcja obrazów w elektrycznej tomografii pojemnościowej

Smolik, W. T.

Artykuł - szczegóły

Tytuł artykułu

Rekonstrukcja obrazów w elektrycznej tomografii pojemnościowej

Autorzy

Smolik W. T.

Identyfikatory

Warianty tytułu

Image reconstruction in electrical capacitance tomography

Języki publikacji

Abstrakty

W rozprawie zaprezentowano technikę obrazowania metodą elektrycznej tomografii pojemnościowej. Opisano podstawy fizyczne, wybrane metody rozwiązywania problemu prostego i algorytmy rekonstrukcji obrazów oraz konstrukcję aparatury pomiarowej. Omówiono metody wyznaczania rozkładu pola elektrycznego i macierzy wrażliwości w kontekście modelowania tomograficznych sond pojemnościowych. Numeryczne algorytmy wyznaczania rozkładu potencjału, optymalizowane przez autora pod względem czasu obliczeń, mają duże znaczenie w nieliniowej, trójwymiarowej rekonstrukcji obrazów. Zaprezentowano występujące w tomografii elektrycznej nieliniowe zagadnienie odwrotne wiąz metodami regularyzacji problemu źle uwarunkowanego i technikami doboru parametru regularyzacji. Opisano algebraiczne, liniowe i nieliniowe metody rekonstrukcji obrazów, a w szczególności zaproponowane przez autora algorytmy przedziałami liniowe. W rozprawie przedstawiono, opracowane iv ramach p tac badawczych, oprogramowanie do numerycznego modelowania i rekonstrukcji obrazów w elektrycznej tomografii pojemnościowej. Opisano konstrukcję pojemnościowych sond tomograficznych oraz metody pomiaru bardzo małych pojemności. Zaprezentowano opracowany w ramach prac doświadczalnych tomograf pojemnościowy. Rozprawa jest podsumowaniem badań prowadzonych przez autora w dziedzinie tomografu elektrycznej.

This dissertation presents an imaging technique by means of electrical capacitance tomography. The physical basis, selected methods of forward problem solution and image reconstruction algorithms, as well the design of the measurement system were described. The methods of electric field distribution and sensitivity matrix calculation were discussed m the context of the design of capacitance tomographic sensors. Numerical algorithms for potential distribution computation, optimized by die author regarding calculation speed, are of great importance in nonlinear three-dimensional image reconstruction. Nonlinear inverse problems occurring in electrical tomography together with the regularization methods for ill-conditioned problems and selection techniques of a regularization parameter were presented. Algebraic linear and nonlinear image reconstruction methods, particularly range linear algorithms proposed by the author, were described. The dissertation also presents software for numerical modelling and image reconstruction in electrical capacitance tomography elaborated within the framework of the author's research and describes the design of tomographic capacitance sensor and the methods for very small capacitance measurement. The capacitance tomography scanner elaborated within the framework of experimental work was presented. This dissertation is a summary of the research carried out by the author in the field of electrical tomography.

Słowa kluczowe

tomografia komputerowa elektryczna tomografia pojemnościowa ECT problem prosty metoda elementów skończonych metoda różnic skończonych rozkład pola elektrycznego równanie Poissona zasada wzajemności macierz wrażliwości problem odwrotny problem źle postawiony regularyzacja problem liniowy problem nieliniowy algorytmy optymalizacji nieliniowej metody pomiaru małych pojemności modelowanie w tomografii elektrycznej

computed tomography electrical capacitance tomography ECT forward problem finite element method finite difference method electric field distribution Poisson equation reciprocity principle sensitivity matrix inverse problem ill-posed problem regularization linear problem nonlinear problem nonlinear optimization algorithms low value capacitance measurement methods modelling in electrical tomography

Wydawca

Oficyna Wydawnicza Politechniki Warszawskiej

Czasopismo

Prace Naukowe Politechniki Warszawskiej. Elektronika

Rocznik

2013

Tom

z. 188

Strony

3--226

Opis fizyczny

Bibliogr. 230 poz., rys., tab., wykr.

Twórcy

autor

Smolik W. T.

Instytut Radioelektroniki Politechniki Warszawskiej

Bibliografia

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