V. A. Klyachin, A. A. Shiroky, “Delaunay triangulation of multidimensional surfaces”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2010, no. 4(78), 51

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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2010, Issue 4(78), Pages 51–55 (Mi vsgu167)

This article is cited in 7 scientific papers (total in 7 papers)

Mathematics

Delaunay triangulation of multidimensional surfaces

V. A. Klyachin, A. A. Shiroky

Dept. of Computer Science and Experimental Mathematics, Volgograd State University, Volgograd, 400062, Russia

Full-text PDF (501 kB) Citations (7)

(published under the terms of the Creative Commons Attribution 4.0 International License)

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Abstract: This paper introduced the definition of Delaunay triangulation of surfaces and proved an analogue of the B. Delaunay lemma of empty sphere.

Keywords: triangulation, simplex, empty sphere condition.

Received: 20.04.2010
Revised: 20.04.2010

Document Type: Article

UDC: 514.174

Language: Russian

Citation: V. A. Klyachin, A. A. Shiroky, “Delaunay triangulation of multidimensional surfaces”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2010, no. 4(78), 51–55

Citation in format AMSBIB

\Bibitem{KlyShi10}

\by V.~A.~Klyachin, A.~A.~Shiroky

\paper Delaunay triangulation of multidimensional surfaces

\jour Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya

\yr 2010

\issue 4(78)

\pages 51--55

\mathnet{http://mi.mathnet.ru/vsgu167}

Linking options:

https://www.mathnet.ru/eng/vsgu167

https://www.mathnet.ru/eng/vsgu/y2010/i4/p51

This publication is cited in the following 7 articles:

V. A. Klyachin, “Otsenki kusochno-lineinoi approksimatsii proizvodnykh funktsii klassov Soboleva”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 49 (2024), 78–89
A. A. Klyachin, “Otsenka pogreshnosti vychisleniya funktsionala, soderzhaschego proizvodnye vtorogo poryadka, na treugolnoi setke”, Sib. elektron. matem. izv., 16 (2019), 1856–1867
V. A. Klyachin, “Approximation of the gradient of a function on the basis of a special class of triangulations”, Izv. Math., 82:6 (2018), 1136–1147
A. A. Klyachin, “Postroenie treugolnoi setki dlya oblastei, ogranichennykh zamknutymi prostymi krivymi”, Matematicheskaya fizika i kompyuternoe modelirovanie, 21:3 (2018), 31–38
A. A. Klyachin, “Postroenie triangulyatsii ploskikh oblastei metodom izmelcheniya”, Vestn. Volgogr. gos. un-ta. Ser. 1, Mat. Fiz., 2017, no. 2(39), 18–28
V. A. Klyachin, “Modified Delaunay empty sphere condition in the problem of approximation of the gradient”, Izv. Math., 80:3 (2016), 549–556
V. A. Klyachin, “On a multidimensional analogue of the Schwarz example”, Izv. Math., 76:4 (2012), 681–687

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Вестник Самарского государственного университета. Естественнонаучная серия

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Abstract page:	440
Full-text PDF :	138
References:	62
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