De Boor-Fix functionals and polar forms
type: Item
instance of: scholarly article
title: De Boor-Fix functionals and polar forms
zbMATH Open document ID: 0702.65014
DOI: 10.1016/0167-8396(90)90005-C
author: Phillip J. Barry
published in: Computer Aided Geometric Design
publication date: 1990-01-01T00:00:00Z
review text: The author investigates the relationship between the polar form perspective of spline curves and the dual functionals. An explicit connection between these two formulations is derived. This link is elaborated further through some examples of spline properties provable by both techniques. The relationship of these techniques to knot insertion is also briefly discussed.
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 41A15
zbMATH DE Number: 4151702
zbMATH Keywords: De Boor-Fix functionals
zbMATH Keywords: blossoming
zbMATH Keywords: polar form perspective
zbMATH Keywords: spline curves
zbMATH Keywords: dual functionals
zbMATH Keywords: knot insertion
reviewed by: Prem Narain
MaRDI profile type: Publication
cites work: On calculating with B-splines
cites work: A practical guide to splines
cites work: Spline approximation by quasiinterpolants
cites work: Some remarks concerning B-splines
cites work: Note on the Oslo algorithm
cites work: Blossoms are polar forms
cites work: Knot insertion from a blossoming point of view
full work available at URL: 0167-8396(90)90005-c
OpenAlex ID: W2071970195
description: scientific article; zbMATH DE number 4151702