Gauss-Lobatto polygon of Pythagorean hodograph curves
type: Item
instance of: scholarly article
title: Gauss-Lobatto polygon of Pythagorean hodograph curves
zbMATH Open document ID: 1505.65068
author: Soo-Hyun Kim
author: Hwan Pyo Moon
published in: Computer Aided Geometric Design
publication date: 2019-11-27T00:00:00Z
Mathematics Subject Classification ID: 65D17
zbMATH DE Number: 7137423
zbMATH Keywords: Pythagorean hodograph curve
zbMATH Keywords: Gauss-Lobatto polygon
zbMATH Keywords: Gauss-Legendre polygon
zbMATH Keywords: rectifying control polygon
zbMATH Keywords: deformation of PH curve
zbMATH Keywords: quaternion representation of spatial PH curve
Wikidata QID: Q114202327
MaRDI profile type: Publication
full work available at URL: j.cagd.2019.101768
OpenAlex ID: W2969934055
cites work: Q5558293
cites work: Q3995065
cites work: Topological criterion for selection of quintic pythagorean-hodograph Hermite interpolants
cites work: Absolute hodograph winding number and planar PH quintic splines
cites work: Clifford algebra, spin representation, and rational parameterization of curves and surfaces
cites work: The conformal map \(z\to z^ 2\) of the hodograph plane
cites work: Pythagorean-hodograph curves. Algebra and geometry inseparable
cites work: Construction of \(G^1\) planar Hermite interpolants with prescribed arc lengths
cites work: Existence of Pythagorean-hodograph quintic interpolants to spatial \(G^1\) Hermite data with prescribed arc lengths
cites work: Hermite interpolation by rotation-invariant spatial Pythagorean-hodograph curves
cites work: Identification of spatial PH quintic Hermite interpolants with near-optimal shape measures
cites work: Identification and ``reverse engineering'' of Pythagorean-hodograph curves
cites work: Local modification of Pythagorean-hodograph quintic spline curves using the B-spline form
cites work: Hermite Interpolation by Pythagorean Hodograph Quintics
cites work: Pythagorean-hodograph space curves
cites work: Hermite interpolation by Pythagorean hodograph curves of degree seven
cites work: Rectifying control polygon for planar Pythagorean hodograph curves
cites work: Deformation of spatial septic Pythagorean hodograph curves using Gauss-Legendre polygon
cites work: A fast and accurate algorithm for solving Bernstein-Vandermonde linear systems
cites work: Construction and shape analysis of PH quintic Hermite interpolants
cites work: Q4107635
cites work: $C^2$ Hermite interpolation by Pythagorean Hodograph space curves
DOI: 10.1016/J.CAGD.2019.101768
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description: scientific article; zbMATH DE number 7137423