Geodesic
Nonlinear source in diffusion filtering methods for image processing
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 10, pp. 1701-1705 
G. V. Borisenko; A. M. Denisov. Nonlinear source in diffusion filtering methods for image processing. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 10, pp. 1701-1705. http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_10_a4/
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Voir la notice de l'article provenant de la source Math-Net.Ru

A diffusion filtering algorithm is proposed based on the solution to an initial-boundary value problem for the two-dimensional diffusion equation with a special nonlinear source.

[1] Perona P., Malik J., “Scale space and edge detection using anisotropic diffusion”, IEEE Trans. Pattern Analys. and Machine Intelligence, 12 (1990), 629–639 | DOI

[2] Weickert J., “Foundations and applications of nonlinear anisotropic diffusion filtering”, Z. ansew. Math. und Mech., 76 (1996), 283–286 | Zbl

[3] Weickert J., “A review of nonlinear diffusion filtering”, Lect. Notes Comput. Sci., 1252, 1997, 3–28

[4] Acharya T., Ray A., Image processing. Principles and applications, Wiley, 2005 | Zbl

[5] Paragios N., Chen Y., Faugeras O., Mathematical models in computer vision: The Handbook, Springer, Berlin, 2006 | MR

[6] Weickert J., Anisotropic diffusion in image processing, Teubner, Stuttgart, 1998 | MR | Zbl

[7] Borisenko G. V., Denisov A. M., Krylov A. C., “Ob odnom metode diffuzionnoi filtratsii izobrazhenii”, Programmirovanie, 2004, no. 5, 43–47 | MR | Zbl

[8] Samarskii A. A., Gulin A. B., Chislennye metody matematicheskoi fiziki, Nauchn. mir, M., 2000

[9] Bakhvalov N. S., “O priblizhennom vychislenii kratnykh integralov”, Vestn. MGU. Ser. Matem., fiz., astron., 1959, no. 4, 3–18 | MR