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Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2013, Issue 1, Pages 153–167 (Mi vuu371)  

This article is cited in 3 scientific papers (total in 3 papers)

COMPUTER SCIENCE

Mathematical modeling of formula images for their recognition

A. Yu. Saparov, A. P. Beltyukov

Department of Theoretical Foundations of Computer Science, Udmurt State University, Izhevsk, Russia
Full-text PDF (313 kB) Citations (3)
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Abstract: The work is devoted to the use of the basic elements of graph theory to solve the mathematical formula recognition problem. We introduce the concepts of two-level graphs and two-dimensional oriented graphs that make it possible to describe complex images consisting of the hierarchy of parts with a particular relative position. We consider a special function that builds a two-dimensional oriented graph from a mathematical formula; the graph is called a graph of mathematical expression image. The mapping rules for basic classes of mathematical formulae are presented. We describe a problem-solving procedure for a recognition problem, which is based on the reverse problem of constructing of a mathematical-expression image graph.
Keywords: two-level graph, two-dimensional oriented graph, graph of mathematical expression image, mathematical formula recognition.
Received: 19.12.2012
Document Type: Article
UDC: 510.5+519.17
MSC: 03D20, 05C20
Language: Russian
Citation: A. Yu. Saparov, A. P. Beltyukov, “Mathematical modeling of formula images for their recognition”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2013, no. 1, 153–167
Citation in format AMSBIB
\Bibitem{SapBel13}
\by A.~Yu.~Saparov, A.~P.~Beltyukov
\paper Mathematical modeling of formula images for their recognition
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2013
\issue 1
\pages 153--167
\mathnet{http://mi.mathnet.ru/vuu371}
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  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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