Solutions of nonlocal nonlinear diffusion equations in data filtering problems

D. A. Vrazhnov, A. V. Shapovalov, V. V. Nikolaev

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

We explore methods of signal filtering using solutions of diffusion-type nonlinear and nonlocal model equations as filter kernels. Basic feature of the considered filtering is replacement of commonly used Gaussian filter by a filter based on solutions of diffusion-type equations.

Original language	English
Title of host publication	New Operational Technologies, NEWOT 2015: Proceedings of the 5th International Scientific Conference "New Operational Technologies"
Publisher	American Institute of Physics Inc.
Volume	1688
ISBN (Electronic)	9780735413351
DOIs	https://doi.org/10.1063/1.4936011
Publication status	Published - 17 Nov 2015
Externally published	Yes
Event	5th International Scientific Conference on New Operational Technologies, NEWOT 2015 - Tomsk, Russian Federation Duration: 29 Sep 2015 → 30 Sep 2015

Conference

Conference	5th International Scientific Conference on New Operational Technologies, NEWOT 2015
Country	Russian Federation
City	Tomsk
Period	29.9.15 → 30.9.15

Fingerprint

filters

ASJC Scopus subject areas

Physics and Astronomy(all)

Cite this

Vrazhnov, D. A., Shapovalov, A. V., & Nikolaev, V. V. (2015). Solutions of nonlocal nonlinear diffusion equations in data filtering problems. In New Operational Technologies, NEWOT 2015: Proceedings of the 5th International Scientific Conference "New Operational Technologies" (Vol. 1688). [030016] American Institute of Physics Inc.. https://doi.org/10.1063/1.4936011

Solutions of nonlocal nonlinear diffusion equations in data filtering problems. / Vrazhnov, D. A.; Shapovalov, A. V.; Nikolaev, V. V.

New Operational Technologies, NEWOT 2015: Proceedings of the 5th International Scientific Conference "New Operational Technologies". Vol. 1688 American Institute of Physics Inc., 2015. 030016.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Vrazhnov, DA, Shapovalov, AV & Nikolaev, VV 2015, Solutions of nonlocal nonlinear diffusion equations in data filtering problems. in New Operational Technologies, NEWOT 2015: Proceedings of the 5th International Scientific Conference "New Operational Technologies". vol. 1688, 030016, American Institute of Physics Inc., 5th International Scientific Conference on New Operational Technologies, NEWOT 2015, Tomsk, Russian Federation, 29.9.15. https://doi.org/10.1063/1.4936011

Vrazhnov DA, Shapovalov AV, Nikolaev VV. Solutions of nonlocal nonlinear diffusion equations in data filtering problems. In New Operational Technologies, NEWOT 2015: Proceedings of the 5th International Scientific Conference "New Operational Technologies". Vol. 1688. American Institute of Physics Inc. 2015. 030016 https://doi.org/10.1063/1.4936011

Vrazhnov, D. A. ; Shapovalov, A. V. ; Nikolaev, V. V. / Solutions of nonlocal nonlinear diffusion equations in data filtering problems. New Operational Technologies, NEWOT 2015: Proceedings of the 5th International Scientific Conference "New Operational Technologies". Vol. 1688 American Institute of Physics Inc., 2015.

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Access to Document

10.1063/1.4936011