Derivatives of rational Bézier curves
type: Item
instance of: scholarly article
title: Derivatives of rational Bézier curves
zbMATH Open document ID: 0760.65013
DOI: 10.1016/0167-8396(92)90014-G
published in: Computer Aided Geometric Design
publication date: 1992-10-13T00:00:00Z
review text: Given a rational Bézier curve \(P(t)=\Sigma w_ iB_{i,n}P_ i/\Sigma w_ iB_{i,n}\), the author uses the special properties of Bernstein polynomials to give explicit and reasonably simple formulas for tangent and curvature of the curve as well as a simple estimate for \(| P'(t)|\) and related results.
Mathematics Subject Classification ID: 65D17
zbMATH DE Number: 68936
zbMATH Keywords: rational Bézier curve
zbMATH Keywords: Bernstein polynomials
zbMATH Keywords: tangent
zbMATH Keywords: curvature
author: Michael S. Floater
reviewed by: Heinrich Guggenheimer
MaRDI profile type: Publication
cites work: Q4041056
cites work: Q4178157
cites work: Surface algorithms using bounds on derivatives
cites work: Curve and surface constructions using rational B-splines
cites work: Loop detection in surface patch intersections
cites work: Rational hodographs
description: scientific article; zbMATH DE number 68936