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Zh. Vychisl. Mat. Mat. Fiz., 2017, Volume 57, Number 3, Pages 396–403 (Mi zvmmf10532)  

This article is cited in 1 scientific paper (total in 1 paper)

Image filtering with the use of anisotropic diffusion

L. E. Rossovskii

RUDN University, Moscow, Russia

Abstract: A system of nonlinear parabolic equations describing the evolution of a color image is considered. The existence and uniqueness of a global solution to the mixed problem for this system is proved.

Key words: image processing, nonlinear diffusion equation, theory of existence and uniqueness of solutions.

Funding Agency Grant Number
Ministry of Education and Science of the Russian Federation 1.1974.2014/K


DOI: https://doi.org/10.7868/S0044466917030139

Full text: PDF file (139 kB)
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English version:
Computational Mathematics and Mathematical Physics, 2017, 57:3, 401–408

Bibliographic databases:

UDC: 519.63
Received: 26.07.2016

Citation: L. E. Rossovskii, “Image filtering with the use of anisotropic diffusion”, Zh. Vychisl. Mat. Mat. Fiz., 57:3 (2017), 396–403; Comput. Math. Math. Phys., 57:3 (2017), 401–408

Citation in format AMSBIB
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\pages 401--408
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Meng F., Wang X., Shao F., Wang D., Hua X., “Energy-Efficient Gabor Kernels in Neural Networks With Genetic Algorithm Training Method”, Electronics, 8:1 (2019), 105  crossref  isi
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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