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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 1, Pages 31–39 (Mi ivm8416)  
This article is cited in 19 scientific papers (total in 19 papers)

The Delaunay triangulation for multidimensional surfaces and its approximative properties

V. A. Klyachin, A. A. Shirokii

Chair of Computer Science and Experimental Mathematics, Volgograd State University, Volgograd, Russia
Full-text PDF (211 kB) Citations (19)
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Abstract: We define the Delaunay triangulation for surfaces and prove an analog of the G. Voronoi empty sphere theorem. We also prove the convergence theorem for gradients of piecewise linear approximations constructed on the Delaunay triangulation for functions differentiable on smooth surfaces.
Keywords: simplex, triangulation, approximation of gradient.
Received: 23.12.2010
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, Volume 56, Issue 1, Pages 27–34
DOI: https://doi.org/10.3103/S1066369X12010045
Bibliographic databases:
Document Type: Article
UDC: 517.518+517.27
Language: Russian
Citation: V. A. Klyachin, A. A. Shirokii, “The Delaunay triangulation for multidimensional surfaces and its approximative properties”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 1, 31–39; Russian Math. (Iz. VUZ), 56:1 (2012), 27–34
Citation in format AMSBIB
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\paper The Delaunay triangulation for multidimensional surfaces and its approximative properties
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2012
\issue 1
\pages 31--39
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\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2975915}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2012
\vol 56
\issue 1
\pages 27--34
\crossref{https://doi.org/10.3103/S1066369X12010045}
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    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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