The Delaunay triangulation for multidimensional surfaces and its approximative properties

DOI10.3103/S1066369X12010045zbMath1254.68338MaRDI QIDQ1759223

A. A. Shirokii, Vladimir Aleksandrovich Klyachin

Publication date: 20 November 2012

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

triangulationsimplexapproximation of gradient

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Approximation by polynomials (41A10)

Related Items (7)

Unnamed Item ⋮ Triangulation method for approximate solving of variational problems in nonlinear elasticity ⋮ Approximation of the gradient of a function on the basis of a special class of triangulations ⋮ Isoperimetry Coefficient for Simplex in the Problem of Approximation of Derivatives ⋮ Description of functionals that are minimized by \(\Phi\)-triangulations ⋮ Estimation of the error of calculating the functional containing higher-order derivatives on a triangular grid ⋮ Hermite Interpolation on a Simplex

Cites Work

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• An acyclicity theorem for cell complexes in d dimensions
• Optimality of the Delaunay triangulation in \(\mathbb{R}^ d\)
• Discrete extrinsic curvatures and approximation of surfaces by polar polyhedra
• The Error in Linear Interpolation at the Vertices of a Simplex

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