Temat: transfer matrices - Prolib Integro

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Tytuł:: Computation of positive realizations for descriptor linear discrete-time systems
Autorzy:: Kaczorek, T.
Tematy:: algorithm
computation
computation of positive realizations
descriptor lnear discrete-time systems
linear discrete-time systems
Discrete-time Systems
transfer matrices
method for determination of positive realizations; Pokaż więcej
Wydawca:: Uniwersytet Morski w Gdyni. Wydział Nawigacyjny
Powiązania:: https://bibliotekanauki.pl/articles/116668.pdf Link otwiera się w nowym oknie
Opis:: A new method for computation of positive realizations of given transfer matrices of descriptor linear discrete‐time linear systems is proposed. Necessary and sufficient conditions for the existence of positive realizations of transfer matrices are given. A procedure for computation of the positive realizations for descriptor discrete‐time linear systems is proposed and illustrated by examples.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: The mathematical characteristic of the Laplace contour filters used in digital image processing. The third order filters
Autorzy:: Winnicki, Ireneusz
Jasinski, Janusz
Pietrek, Sławomir
Kroszczynski, Krzysztof
Tematy:: metoda elementów skończonych
filtr Laplace'a
równanie różniczkowe
transfer function
finite element method
finite difference method
matrices of the third-order Laplace filters
modified differential equations; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Czasopisma i Monografie PAN
Powiązania:: https://bibliotekanauki.pl/articles/43852806.pdf Link otwiera się w nowym oknie
Opis:: The Laplace operator is a differential operator which is used to detect edges of objects in digital images. This paper presents the properties of the most commonly used third-order 3x3 pixels Laplace contour filters including the difference schemes used to derive them. The authors focused on the mathematical properties of the Laplace filters. The basic reasons of the differences of the properties were studied and indicated using their transfer functions and modified differential equations. The relations between the transfer function for the differential Laplace operator and its difference operators were described and presented graphically. The impact of the corner elements of the masks on the results was discussed. This is a theoretical work. The basic research conducted here refers to a few practical examples which are illustrations of the derived conclusions.We are aware that unambiguous and even categorical final statements as well as indication of areas of the results application always require numerous experiments and frequent dissemination of the results. Therefore, we present only a concise procedure of determination of the mathematical properties of the Laplace contour filters matrices. In the next paper we shall present the spectral characteristic of the fifth order filters of the Laplace type.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: The mathematical characteristic of the fifth order Laplace contour filters used in digital image processing
Autorzy:: Winnicki, Ireneusz
Pietrek, Sławomir
Jasinski, Janusz
Kroszczynski, Krzysztof
Tematy:: metoda elementów skończonych
równanie różniczkowe
filtr Laplace'a
finite element method
finite difference method
modified differential equations
matrices of the fifth-order Laplace filter
Taylor expansion of the transfer function; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Czasopisma i Monografie PAN
Powiązania:: https://bibliotekanauki.pl/articles/43852793.pdf Link otwiera się w nowym oknie
Opis:: The Laplace operator is a differential operator which is used to detect edges of objects in digital images. This paper presents the properties of the most commonly used fifth-order pixels Laplace filters including the difference schemes used to derive them (finite difference method – FDM and finite element method – FEM). The results of the research concerning third-order pixels matrices of the convolution Laplace filters used for digital processing of images were presented in our previous paper: The mathematical characteristic of the Laplace contour filters used in digital image processing. The third order filters is presented byWinnicki et al. (2022). As previously, the authors focused on the mathematical properties of the Laplace filters: their transfer functions and modified differential equations (MDE). The relations between the transfer function for the differential Laplace operator and its difference operators are described and presented here in graphical form. The impact of the corner elements of the masks on the results is also discussed. A transfer function, is a function characterizing properties of the difference schemes applied to approximate differential operators. Since they are relations derived in both types of spaces (continuous and discrete), comparing them facilitates the assessment of the applied approximation method.
Dostawca treści:: Biblioteka Nauki

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