Using general polar values as control points for polynomial curves
type: Item
instance of: scholarly article
title: Using general polar values as control points for polynomial curves
zbMATH Open document ID: 0805.65020
DOI: 10.1016/0167-8396(94)90206-2
author: Mark A. Duchaineau
published in: Computer Aided Geometric Design
publication date: 1994-09-26T00:00:00Z
review text: Computing the values of a homogeneous \(n\)-th degree polynomial \(f(x)\) from values of its polarized form \(f(x_ 1,\ldots,x_ n)\) is called blossoming in CAD language. The paper contains a study of the conditions to be imposed on sets of values \((x_ 1,\ldots,x_ n)\) to serve as substitutes for control points in Bézier splines.
Mathematics Subject Classification ID: 65D17
Mathematics Subject Classification ID: 65D07
zbMATH DE Number: 644301
zbMATH Keywords: computer-aided design
zbMATH Keywords: polynomial curves
zbMATH Keywords: blossoming
zbMATH Keywords: control points
zbMATH Keywords: Bézier splines
reviewed by: Heinrich Guggenheimer
MaRDI profile type: Publication
full work available at URL: 0167-8396(94)90206-2
OpenAlex ID: W2085497615
cites work: On calculating with B-splines
cites work: The Numerical Evaluation of B-Splines
cites work: Blossoms are polar forms
cites work: A new multiaffine approach to B-splines
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description: scientific article; zbMATH DE number 644301