The rational cubic Bézier representation of conics
type: Item
instance of: scholarly article
title: The rational cubic Bézier representation of conics
zbMATH Open document ID: 0782.65015
DOI: 10.1016/0167-8396(92)90043-O
author: Guojin Wang
author: Guozhao Wang
published in: Computer Aided Geometric Design
publication date: 1993-01-18T00:00:00Z
review text: Rational cubic Bézier curves are a basic tool in computer aided geometric design. They have the advantage of incorporating both conic sections and parametric cubic curves. In this paper the authors discuss necessary and sufficient conditions for representing conic sections by a rational cubic Bézier curve in proper parametrization. These conditions are given in terms of the weights and of the Bézier vertices of the cubic curve. The paper concludes with a method to determine from the cubic curve whether the conic section is an ellipse, a parabola or a hyperbola.
Mathematics Subject Classification ID: 65D17
zbMATH DE Number: 85948
zbMATH Keywords: conics
zbMATH Keywords: rational quadratic Bézier curve
zbMATH Keywords: Rational cubic Bézier curves
zbMATH Keywords: computer aided geometric design
reviewed by: Jürgen Prestin
describes a project that uses: CONSURF
MaRDI profile type: Publication
cites work: On cubics: A survey
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cites work: Representation of quadric primitives by rational polynomials
cites work: Improperly parametrized rational curves
description: scientific article; zbMATH DE number 85948