Geodesic
Perona-Malik equation: properties of explicit finite volume scheme
Kybernetika, Tome 43 (2007) no. 4, pp. 523-532

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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.
Classification : 35K20, 35K55, 65M12, 65M60, 68M10
Keywords: Perona–Malik equation; finite volume method; consistency; stability monotonicity property 
@article{KYB_2007__43_4_a12,
     author = {Handlovi\v{c}ov\'a, Angela},
     title = {Perona-Malik equation: properties of explicit finite volume scheme},
     journal = {Kybernetika},
     pages = {523--532},
     publisher = {mathdoc},
     volume = {43},
     number = {4},
     year = {2007},
     mrnumber = {2377930},
     zbl = {1140.35321},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2007__43_4_a12/}
}
TY  - JOUR
AU  - Handlovičová, Angela
TI  - Perona-Malik equation: properties of explicit finite volume scheme
JO  - Kybernetika
PY  - 2007
SP  - 523
EP  - 532
VL  - 43
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/KYB_2007__43_4_a12/
LA  - en
ID  - KYB_2007__43_4_a12
ER  - 
%0 Journal Article
%A Handlovičová, Angela
%T Perona-Malik equation: properties of explicit finite volume scheme
%J Kybernetika
%D 2007
%P 523-532
%V 43
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/KYB_2007__43_4_a12/
%G en
%F KYB_2007__43_4_a12
Handlovičová, Angela. Perona-Malik equation: properties of explicit finite volume scheme. Kybernetika, Tome 43 (2007) no. 4, pp. 523-532. http://geodesic.mathdoc.fr/item/KYB_2007__43_4_a12/