Geodesic
Delaunay triangulation of multidimensional surfaces
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 4 (2010), pp. 51-55 Cet article a éte moissonné depuis la source Math-Net.Ru

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This paper introduced the definition of Delaunay triangulation of surfaces and proved an analogue of the B. Delaunay lemma of empty sphere.
Mots-clés : triangulation, simplex
Keywords: empty sphere condition. 
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V. A. Klyachin; A. A. Shiroky. Delaunay triangulation of multidimensional surfaces. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 4 (2010), pp. 51-55. http://geodesic.mathdoc.fr/item/VSGU_2010_4_a5/

[1] Delaunay B., “Sur la sphere vide. A la memoire de Georges Voronoï”, Izv. AN SSSR, 1934, no. 6, 793–800 | Zbl

[2] Shikin E. V., Boreskov A. V., Kompyuternaya grafika. Poligonalnye modeli, Dialog MIFI, M., 2000

[3] Klyachin V. A., “Ob odnom obobschenii usloviya Delone”, Vestnik Tomskogo gosudarstvennogo universiteta. Ser.: Matematika i mekhanika, 2008, no. 1(2), 48–50

[4] Skvortsov A. V., Mirza N. S., Algoritmy postroeniya i analiza triangulyatsii, Izd-vo Tomsk. un-ta, Tomsk, 2006, 168 pp.