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

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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 
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     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/}
}
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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/