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JOURNALS // Bulletin of Irkutsk State University. Series Mathematics // Archive

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

This article is cited in 2 papers

Approximation of polygons with the best set of circles

P. D. Lebedeva, D. S. Bukharovb

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

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.

UDC: 514.174.2:3



© Steklov Math. Inst. of RAS, 2024