Characterization and extensive study of cubic and quintic algebraic trigonometric planar PH curves
type: Item
instance of: scholarly article
title: Characterization and extensive study of cubic and quintic algebraic trigonometric planar PH curves
author: Isabelle Cattiaux-Huillard
author: Laura Saini
published in: Advances in Computational Mathematics
publication date: 2020-04-08T00:00:00Z
Mathematics Subject Classification ID: 65D17
Mathematics Subject Classification ID: 51N05
zbMATH DE Number: 7188448
zbMATH Keywords: Pythagorean hodograph
zbMATH Keywords: trigonometric functions
zbMATH Keywords: B-basis
zbMATH Keywords: trigonometric polynomial
zbMATH Keywords: circle arc
describes a project that uses: Wolfram Demonstrations
MaRDI profile type: Publication
full work available at URL: s10444-020-09772-4
OpenAlex ID: W3012455504
cites work: Shape preserving representations and optimality of the Bernstein basis
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cites work: New developments in theory, algorithms, and applications for Pythagorean-hodograph curves
cites work: The conformal map \(z\to z^ 2\) of the hodograph plane
cites work: Real rational curves are not `unit speed'
cites work: The circle as a smoothly joined BR-curve on [0,1]
cites work: Optimal bases for a class of mixed spaces and their associated spline spaces
cites work: Shape preserving alternatives to the rational Bézier model
cites work: Generalized B-splines as a tool in isogeometric analysis
cites work: Algebraic-trigonometric Pythagorean-hodograph curves and their use for Hermite interpolation
cites work: Harmonic rational Bézier curves, \(p\)-Bézier curves and trigonometric polynomials
cites work: Unified and extended form of three types of splines
DOI: 10.1007/S10444-020-09772-4
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description: scientific article; zbMATH DE number 7188448