Perona-Malik equation: properties of explicit finite volume scheme
Kybernetika (2007)
- Volume: 43, Issue: 4, page 523-532
- ISSN: 0023-5954
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topHandlovičová, Angela. "Perona-Malik equation: properties of explicit finite volume scheme." Kybernetika 43.4 (2007): 523-532. <http://eudml.org/doc/33877>.
@article{Handlovičová2007,
abstract = {The Perona–Malik nonlinear parabolic problem, which is widely used in image processing, is investigated in this paper from the numerical point of view. An explicit finite volume numerical scheme for this problem is presented and consistency property is proved.},
author = {Handlovičová, Angela},
journal = {Kybernetika},
keywords = {Perona–Malik equation; finite volume method; consistency; stability monotonicity property; consistency; stability monotonicity property; image processing},
language = {eng},
number = {4},
pages = {523-532},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Perona-Malik equation: properties of explicit finite volume scheme},
url = {http://eudml.org/doc/33877},
volume = {43},
year = {2007},
}
TY - JOUR
AU - Handlovičová, Angela
TI - Perona-Malik equation: properties of explicit finite volume scheme
JO - Kybernetika
PY - 2007
PB - Institute of Information Theory and Automation AS CR
VL - 43
IS - 4
SP - 523
EP - 532
AB - The Perona–Malik nonlinear parabolic problem, which is widely used in image processing, is investigated in this paper from the numerical point of view. An explicit finite volume numerical scheme for this problem is presented and consistency property is proved.
LA - eng
KW - Perona–Malik equation; finite volume method; consistency; stability monotonicity property; consistency; stability monotonicity property; image processing
UR - http://eudml.org/doc/33877
ER -
References
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- Handlovičová A., Krivá Z., Properties of explicit finite volume scheme for Perona–Malik Equation, In: Proc. Prastan 04, Kočovce 2004, pp. 133–140
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- Handlovičová A., Mikula K., Convergence of the semi-implicit co-volume scheme for the curvature driven level set equation, To appear
- Krivá Z., Explicit finite volume scheme for the Perona–Malik equation, Computational Methods in Applied Math. 5 (2005), 2, 170–200
- Krivá Z., Mikula K., An adaptive finie volume scheme for solving nonlinear diffusion equations in image processing, J. Visual. Comm. and Image Representation 13 (2002), 22–35
- Mikula K., Ramarosy N., Semi-implicit finite volume scheme for solving nonlinear diffusion equations in image processing, Numer. Math. 89 (2001), 3, 561–590 Zbl1013.65094MR1864431
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