Existence of Pythagorean-hodograph quintic interpolants to spatial \(G^1\) Hermite data with prescribed arc lengths
type: Item
instance of: scholarly article
title: Existence of Pythagorean-hodograph quintic interpolants to spatial \(G^1\) Hermite data with prescribed arc lengths
zbMATH Open document ID: 1432.65024
author: Rida T. Farouki
published in: Journal of Symbolic Computation
publication date: 2019-06-28T00:00:00Z
Mathematics Subject Classification ID: 65D17
Mathematics Subject Classification ID: 53A04
zbMATH DE Number: 7074709
zbMATH Keywords: geometric Hermite interpolation
zbMATH Keywords: Pythagorean-hodograph curves
zbMATH Keywords: arc length constraints
zbMATH Keywords: existence conditions
zbMATH Keywords: shape optimization
zbMATH Keywords: polynomial roots
Wikidata QID: Q114154469
describes a project that uses: BRENT
MaRDI profile type: Publication
full work available at URL: j.jsc.2019.02.008
OpenAlex ID: W2917363923
cites work: Q5509108
cites work: Q5657612
cites work: Euler-Rodrigues frames on spatial Pythagorean-hodograph curves.
cites work: Clifford algebra, spin representation, and rational parameterization of curves and surfaces
cites work: Pythagorean-hodograph curves. Algebra and geometry inseparable
cites work: Construction of \(G^1\) planar Hermite interpolants 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: Helical polynomial curves and double Pythagorean hodographs. I: Quaternion and Hopf map representations
cites work: Interpolation with spatial rational Pythagorean-hodograph curves of class 4
cites work: Q3260965
cites work: Q4779819
DOI: 10.1016/J.JSC.2019.02.008
Recommended article: Spatial quintic Pythagorean-hodograph interpolants to first-order Hermite data and Frenet frames
Recommended article: Singular cases of planar and spatial \(C^1\) Hermite interpolation problems based on quintic Pythagorean-hodograph curves
Recommended article: \(C^2\) Hermite interpolation by Pythagorean-hodograph quintic triarcs
Recommended article: \(C^{1}\) Hermite interpolation by Pythagorean hodograph quintics in Minkowski space
Recommended article: A new selection scheme for spatial Pythagorean hodograph quintic Hermite interpolants
Recommended article: Interpolation by $G^2$ Quintic Pythagorean-Hodograph Curves
Recommended article: Solvability of \(G^{1}\) Hermite interpolation by spatial Pythagorean-hodograph cubics and its selection scheme
Recommended article: \(C^1\) Hermite interpolation with spatial Pythagorean-hodograph cubic biarcs
Recommended article: Hermite Interpolation by Pythagorean Hodograph Quintics
Recommended article: Interpolation of \(G^1\) Hermite data by \(C^1\) cubic-like sparse Pythagorean hodograph splines
description: scientific article; zbMATH DE number 7074709