A bivariate \(C^ 2\) Clough-Tocher scheme
type: Item
instance of: scholarly article
title: A bivariate \(C^ 2\) Clough-Tocher scheme
zbMATH Open document ID: 0597.65005
DOI: 10.1016/0167-8396(84)90012-8
author: Peter Alfeld
published in: Computer Aided Geometric Design
publication date: 1984-01-01T00:00:00Z
review text: Let \({\mathcal D}\) be a two-dimensional domain that has been triangulated. Using the technique of his earlier paper [ibid. 1, 169-181 (1984; Zbl 0566.65003)] the author constructs a bivariate \({\mathcal C}^ 2\)-interpolant on \({\mathcal D}\) that requires \({\mathcal C}^ 2\) data at the scattered points. The scheme is local and has cubic precision.
Mathematics Subject Classification ID: 65D05
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 41A63
zbMATH DE Number: 3963061
zbMATH Keywords: Clough-Tocher
zbMATH Keywords: bivariate interpolation
zbMATH Keywords: triangulation
zbMATH Keywords: piecewise polynomials
describes a project that uses: REDUCE
MaRDI profile type: Publication
full work available at URL: 0167-8396(84)90012-8
OpenAlex ID: W2078799670
cites work: A trivariate Clough-Tocher scheme for tetrahedral data
cites work: C1 quintic interpolation over triangles: Two explicit representations
cites work: Interpolation polynomials on the triangle
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description: scientific article; zbMATH DE number 3963061