On de Boor-like algorithms and blossoming
type: Item
instance of: scholarly article
title: On de Boor-like algorithms and blossoming
zbMATH Open document ID: 0657.65015
DOI: 10.1016/0167-8396(88)90022-2
author: Wolfgang Boehm
published in: Computer Aided Geometric Design
publication date: 1988-01-01T00:00:00Z
review text: Die Algorithmen von de Casteljau (für Bézier-Kurven), de Boor (B- Spline-Kurven), Aitken (Lagrange-Polynome) und Goldman (Polya-Kurven) haben eine gemeinsame Struktur; insbesondere werden bei jedem Schritt Konvexkombinationen von jeweils zwei Punkten berechnet. Für diese Struktur werden in der vorliegenden Arbeit geometrische Interpretationen diskutiert.
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 65D05
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 41A15
zbMATH DE Number: 4074306
zbMATH Keywords: Bézier curves
zbMATH Keywords: spline curves
zbMATH Keywords: linear interpolation
zbMATH Keywords: algorithms
zbMATH Keywords: tensor products
zbMATH Keywords: multiaffine mappings
zbMATH Keywords: Bézier manifolds
zbMATH Keywords: de Casteljou algorithm
zbMATH Keywords: de Boor algorithm
zbMATH Keywords: Aitken algorithm
zbMATH Keywords: Goldman algorithm
zbMATH Keywords: Polya curves
MaRDI profile type: Publication
full work available at URL: 0167-8396(88)90022-2
OpenAlex ID: W2128578858
cites work: Curvature continuous curves and surfaces
cites work: A survey of curve and surface methods in CAGD
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cites work: Knot insertion from a blossoming point of view
description: scientific article; zbMATH DE number 4074306