The Delaunay triangulation for multidimensional surfaces and its approximative properties

Autor:	V. A. Klyachin, A. A. Shirokii
Rok vydání:	2011
Předmět:	Triangulation (topology) Pure mathematics Pitteway triangulation Constrained Delaunay triangulation Delaunay triangulation General Mathematics Computer Science::Computational Geometry Minimum-weight triangulation Bowyer–Watson algorithm Combinatorics Mathematics::Metric Geometry Surface triangulation Voronoi diagram Mathematics
Zdroj:	Russian Mathematics. 56:27-34
ISSN:	1934-810X 1066-369X
DOI:	10.3103/s1066369x12010045
Popis:	We define the Delaunay triangulation for surfaces and prove an analog of the G. Voronoi empty sphere theorem. We also prove a convergence theorem for gradients of piecewise linear approximations constructed on the Delaunay triangulation for functions differentiable on smooth surfaces.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::25d89157439101f2015dc39fc9b3aa29 https://doi.org/10.3103/s1066369x12010045 Zobrazit plný text záznamu Full text from SpringerLink