- 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 - Powiązania:
- https://bibliotekanauki.pl/articles/43852793.pdf
- Data publikacji:
- 2022
- Wydawca:
- Polska Akademia Nauk. Czasopisma i Monografie PAN
- 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 - 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.
- Źródło:
-
Advances in Geodesy and Geoinformation; 2022, 71, 2; art. no. e26, 2022
2720-7242 - Pojawia się w:
- Advances in Geodesy and Geoinformation
- Dostawca treści:
- Biblioteka Nauki
Artykuł