Characterization and construction of helical polynomial space curves.
type: Item
instance of: scholarly article
title: Characterization and construction of helical polynomial space curves.
zbMATH Open document ID: 1059.65016
author: Rida T. Farouki
author: Chang Yong Han
author: Carla Manni
author: Alessandra Sestini
published in: Journal of Computational and Applied Mathematics
publication date: 2004-01-26T00:00:00Z
review text: This paper deals with helical polynomial space curves. Two types of Pythagorean-hodograph (PH) quintic helix are identified: the ``monotone-helical'' PH quintics and general helical PH quintics. Characterizations and construction algorithms for the monotone-helical PH quintics and a sufficient condition for PH quintics to belong to the general class of helical PH quintics are given. First-order Hermite interpolation algorithms are developed for both helical PH quintic types.
Mathematics Subject Classification ID: 65D17
zbMATH DE Number: 2032632
zbMATH Keywords: Pythagorean-hodograph curves
zbMATH Keywords: quaternions
zbMATH Keywords: tangent indicatrix
zbMATH Keywords: rational
zbMATH Keywords: quartic
zbMATH Keywords: curvature
zbMATH Keywords: torsion
zbMATH Keywords: helix
zbMATH Keywords: Hermite interpolation
zbMATH Keywords: energy integral
zbMATH Keywords: algorithms
reviewed by: Hongjiong Tian
MaRDI profile type: Publication
full work available at URL: j.cam.2003.08.030
OpenAlex ID: W2072181956
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DOI: 10.1016/J.CAM.2003.08.030
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description: scientific article; zbMATH DE number 2032632