Generating the Bézier points of a \(\beta\)-spline curve
type: Item
instance of: scholarly article
title: Generating the Bézier points of a \(\beta\)-spline curve
zbMATH Open document ID: 0682.65004
DOI: 10.1016/0167-8396(89)90029-0
author: Bart Tytgat
author: Paul Dierckx
published in: Computer Aided Geometric Design
publication date: 1989-01-01T00:00:00Z
review text: The paper is based on work of \textit{T. N. T. Goodman} [J. Approximation Theory 44, 132-153 (1985; Zbl 0569.41010)]. The authors derive complete formulas for computing the Béziers points of cubic \(\beta\)-splines with possibly multiple knot assignments, and outline the solution of the same problem for tensor product \(\beta\)-spline surfaces. They show by examples how the polygons based on Béziers points are superior to spline polygons.
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 41A15
Mathematics Subject Classification ID: 41A63
Mathematics Subject Classification ID: 53A05
zbMATH DE Number: 4117730
zbMATH Keywords: cubic beta splines
zbMATH Keywords: tensor product surfaces
zbMATH Keywords: Béziers points
zbMATH Keywords: multiple knot assignments
reviewed by: Heinrich Guggenheimer
MaRDI profile type: Publication
full work available at URL: 0167-8396(89)90029-0
OpenAlex ID: W2506764773
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description: scientific article; zbMATH DE number 4117730