Approximate conversion of spline curves
type: Item
instance of: scholarly article
title: Approximate conversion of spline curves
zbMATH Open document ID: 0645.65008
DOI: 10.1016/0167-8396(87)90024-0
author: J. Hoschek
published in: Computer Aided Geometric Design
publication date: 1987-01-01T00:00:00Z
review text: An algorithm is presented that approximates: a) a high degree spline curve by one of lower degree and with more segments, or b) a low degree spline curve by one of higher degree but with more pieces. The curvature of the approximations is studied. The method involved concepts of geometric continuity.
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 41A15
zbMATH DE Number: 4052877
zbMATH Keywords: Bézier curves
zbMATH Keywords: parameter optimization
zbMATH Keywords: order of contact
zbMATH Keywords: degree elevation
zbMATH Keywords: degree reduction
zbMATH Keywords: spline conversion
zbMATH Keywords: algorithm
zbMATH Keywords: high degree spline curve
zbMATH Keywords: low degree spline curve
zbMATH Keywords: curvature
zbMATH Keywords: geometric continuity
reviewed by: Gerald Farin
MaRDI profile type: Publication
full work available at URL: 0167-8396(87)90024-0
OpenAlex ID: W2066812414
cites work: Approximate conversion of surface representations with polynomial bases
cites work: Q4091004
cites work: Über berührende Kegelschnitte einer ebenen Kurve
cites work: Q5598125
cites work: Convergence Conditions for Nonlinear Programming Algorithms
description: scientific article; zbMATH DE number 4052877