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Computer Research and Modeling, 2010, Volume 2, Issue 4, Pages 363–376
DOI: https://doi.org/10.20537/2076-7633-2010-2-4-369-376 (Mi crm610) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICAL MODELING AND NUMERICAL SIMULATION

Symmetries of differential equations in computer vision applications

D. A. Vrazhnova, A. V. Shapovalovbc, V. V. Nikolaevb

a Tomsklabs LLC, Akademicheskiy av,. 8/8, 634055, Tomsk, Russia
b Tomsk State University, Lenin av., 36, 634050, Tomsk, Russia
c Tomsk Polytechnic University, Lenin av., 30, 634050, Tomsk, Russia
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DOI: https://doi.org/10.20537/2076-7633-2010-2-4-369-376
Abstract: In our work we present generalization of well-known approach for construction of invariant feature vectors of images in computer vision applications. Basic feature of the suggested algorithm is replacement of commonly used Gaussian filter by convolution of image function with Green’s function of evolution operator, which inherits symmetries of this operator. The use of general filtration allows to obtain additional characteristics of invariant feature vectors.
Keywords: computer vision, pattern recognition, filtering, symmetries of differential equations, Green Function.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 2.1.1/3436
Received: 25.03.2010
Document Type: Article
UDC: 004.931; 004.932
Language: Russian
Citation: D. A. Vrazhnov, A. V. Shapovalov, V. V. Nikolaev, “Symmetries of differential equations in computer vision applications”, Computer Research and Modeling, 2:4 (2010), 363–376
Citation in format AMSBIB
\Bibitem{VraShaNik10}
\by D.~A.~Vrazhnov, A.~V.~Shapovalov, V.~V.~Nikolaev
\paper Symmetries of differential equations in computer vision applications
\jour Computer Research and Modeling
\yr 2010
\vol 2
\issue 4
\pages 363--376
\mathnet{http://mi.mathnet.ru/crm610}
\crossref{https://doi.org/10.20537/2076-7633-2010-2-4-369-376}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Computer Research and Modeling
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