P. D. Lebedev, D. S. Bukharov, “Approximation of polygons with the best set of circles”, Bulletin of Irkutsk State University. Series Mathematics, 6:3 (2013), 72

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Bulletin of Irkutsk State University. Series Mathematics, 2013, Volume 6, Issue 3, Pages 72–87 (Mi iigum26)

This article is cited in 2 scientific papers (total in 2 papers)

Approximation of polygons with the best set of circles

P. D. Lebedev^a, D. S. Bukharov^b

^a Institute of Mathematics and Mechanics of Ural Branch of the Russian Academy of Sciences, 16, S. Kovalevskaja st., Ekaterinburg, 620219
^b Institute for System Dynamics and Control Theory SB RAS, 134, Lermontov st., Irkutsk

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Abstract: The best approximations of flat polygons with circles are considered. The main component of their construction is the best net. It is the generalized case of the Chebyshev center. About the best segmentation based on the optics-geometrical approach.

Keywords: Chebyshev center; best net; Hausdorff distance; computational geometry.

Document Type: Article

UDC: 514.174.2:3

Language: Russian

Citation: P. D. Lebedev, D. S. Bukharov, “Approximation of polygons with the best set of circles”, Bulletin of Irkutsk State University. Series Mathematics, 6:3 (2013), 72–87

Citation in format AMSBIB

\Bibitem{LebBuk13}

\by P.~D.~Lebedev, D.~S.~Bukharov

\paper Approximation of polygons with the best set of circles

\jour Bulletin of Irkutsk State University. Series Mathematics

\yr 2013

\vol 6

\issue 3

\pages 72--87

\mathnet{http://mi.mathnet.ru/iigum26}

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https://www.mathnet.ru/eng/iigum/v6/i3/p72

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