Browsing by Subject "electrical tomography inverse problem"

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Access status: Open Access ,
Przegląd możliwości wykorzystania łańcuchów Markowa w rozwiązaniu tomograficznego problemu odwrotnego metodami Monte Carlo
(Wydawnictwa AGH, 2009) Romanowski, Andrzej; Grudzień, Krzysztof; Sankowski, Dominik
In order to solve capacitance tomography inverse problem, a number of mathematical difficulties needs to be overcame. These problems exist no matter the if the solutions is the reconstructed image, or an estimation of process parameters (i.e. material concentration value calculated on the basis of post processed tomograms). This paper presents properties of Markov chain Monte Carlo (MCMC) methods, which application can be a way to solve the inverse problem. Paper covers the specific properties of MCMC algorithms, discussion about using the measures of a posteriori probability density functions, construction of appropriate Markov chains, strategies for proposed values updates, initial values, determination of initial, transient period length and termination, and results validation. The last is a review of possible applications of discussed methods in order to prove its general character and moreover, eventual usefulness for ECT.
Access status: Open Access ,
Wyznaczanie gęstości upakowania materiału w silosie na podstawie danych pomiarowych elektrycznej tomografii pojemnościowej (ECT)
(Wydawnictwa AGH, 2009) Grudzień, Krzysztof; Niedostatkiewicz, Maciej; Chaniecki, Zbigniew; Romanowski, Andrzej; Sankowski, Dominik
This paper describes the application of Electrical Capacitance Tomography (ECT) to measurement of porosity changes in bulk solid during the process of silo unloading. Authors focus on identification of the strict relationship between the change of bulk solid concentration and measured sensor inter-electrode capacitance records. The concentration changes are showed in the form of bulk solid porosity indicator value changes. The derivation of the relationship between dynamic material concentration changes and resulting capacitance changes will allow to estimate the error of the material concentration determination. This will be helpful in quantitative analysis of measurement data. In addition, this will also help in better utilization of capacitance tomography systems in industrial control systems. This paper presents preliminary results of analysis for loading and storing of sand in smooth-wall silo. Presented results are part of the wider research programme targeted in development of the tomographical system for noninvasive diagnostic of material flow in silos.