Article
Full entry |
PDF
(0.7 MB)
Feedback
PDF
(0.7 MB)
Feedback
Keywords:
Perona–Malik equation; finite volume method; consistency; stability monotonicity property
Perona–Malik equation; finite volume method; consistency; stability monotonicity property
Summary:
References:
[1] Barles G., Souganidis P. E.: Convergence of approximation schemes for fully nonlinear second order equations. Asymptotic Analysis 4 (1991), 271–283 MR 1115933 | Zbl 0729.65077
[2] Catté F. , Lions P. L., Morel J. M., Coll T.: Image selective smoothing and edge detection by nonlinear diffusion. SIAM J. Numer. Anal. 29 (1992), 182–193 MR 1149092 | Zbl 0746.65091
[3] Eymard R., Gallouet, T., Herbin R.: The Finite Volume Method. In: Handbook of Numerical Analysis, Vol. VII, 2000 (Ph. Ciarlet and J. L. Lions, eds.), pp. 715–1022 MR 1804748 | Zbl 1173.76359
[4] Handlovičová A., Krivá Z.: Properties of explicit finite volume scheme for Perona–Malik Equation. In: Proc. Prastan 04, Kočovce 2004, pp. 133–140
[5] Handlovičová A., Krivá Z.: Error estimates for finite volume scheme for Perona–Malik Equation. Acta Math. Univ. Comenianae LXXIV 1 (2005), 79–94 MR 2154399 | Zbl 1108.35083
[6] Handlovičová A., Mikula K.: Convergence of the semi-implicit co-volume scheme for the curvature driven level set equation. To appear
[7] Krivá Z.: Explicit finite volume scheme for the Perona–Malik equation. Computational Methods in Applied Math. 5 (2005), 2, 170–200
[8] 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
[9] Mikula K., Ramarosy N.: Semi-implicit finite volume scheme for solving nonlinear diffusion equations in image processing. Numer. Math. 89 (2001), 3, 561–590 MR 1864431 | Zbl 1013.65094
Search
Partner of
