A modified Clough-Tocher interpolant
type: Item
instance of: scholarly article
title: A modified Clough-Tocher interpolant
zbMATH Open document ID: 0586.65007
DOI: 10.1016/0167-8396(85)90003-2
published in: Computer Aided Geometric Design
publication date: 1985-01-01T00:00:00Z
review text: The Clough-Tocher interpolant is a standard scheme for scattered data interpolation. For its mostly used form one has to estimate so-called cross-boundary derivatives. This is usually done by ''condensation of parameters''; the present paper suggests a different method. It is based on minimizing jump discontinuities in the second derivatives. As a verification method, so-called reflection lines are simulated.
Mathematics Subject Classification ID: 65D05
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 41A63
zbMATH DE Number: 3940592
zbMATH Keywords: surfaces
zbMATH Keywords: triangular interpolants
zbMATH Keywords: Bernstein-Bézier polynomials
zbMATH Keywords: Bézier methods
zbMATH Keywords: Clough-Tocher interpolant
zbMATH Keywords: scattered data interpolation
zbMATH Keywords: condensation of parameters
zbMATH Keywords: reflection lines
author: Gerald Farin
MaRDI profile type: Publication
full work available at URL: 0167-8396(85)90003-2
OpenAlex ID: W2063906151
cites work: A bivariate \(C^ 2\) Clough-Tocher scheme
cites work: C1 quintic interpolation over triangles: Two explicit representations
cites work: A survey of curve and surface methods in CAGD
cites work: Q4194442
cites work: Adaptive contouring of three-dimensional surfaces
cites work: Q4404383
description: scientific article; zbMATH DE number 3940592