Construction of Rational Curves with Rational Rotation-Minimizing Frames via Möbius Transformations
type: Item
instance of: scholarly article
title: Construction of Rational Curves with Rational Rotation-Minimizing Frames via Möbius Transformations
zbMATH Open document ID: 1274.65026
DOI: 10.1007/978-3-642-11620-9_2
author: Michael Bartoň
author: Bert Jüttler
author: Wenping Wang
published in: Mathematical Methods for Curves and Surfaces
publication date: 2010-03-16T00:00:00Z
Mathematics Subject Classification ID: 65D17
zbMATH DE Number: 5682092
zbMATH Keywords: rational rotation-minimizing frame
zbMATH Keywords: Möbius transformations
zbMATH Keywords: Pythagorean-hodograph curve
MaRDI profile type: Publication
full work available at URL: 978-3-642-11620-9 2
OpenAlex ID: W2152335753
cites work: Möbius transformations in expressed through 2×2 matrices of clifford numbers
cites work: CONTINUED FRACTIONS, MÖBIUS TRANSFORMATIONS AND CLIFFORD ALGEBRAS
cites work: Poisson brackets associated to the conformal geometry of curves
cites work: There is More than One Way to Frame a Curve
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: Exact rotation-minimizing frames for spatial Pythagorean-hodograph curves
cites work: Pythagorean-hodograph curves. Algebra and geometry inseparable
cites work: Quintic space curves with rational rotation-minimizing frames
cites work: Pythagorean-hodograph space curves
cites work: Cubic Pythagorean hodograph spline curves and applications to sweep surface modeling.
cites work: Algorithms on cone spline surfaces and spatial osculating arc splines
cites work: Q4948049
cites work: Geometric Hermite interpolation with Tschirnhausen cubics
cites work: Q4525484
cites work: Q3839139
cites work: Curves with rational Frenet-Serret motion
description: scientific article; zbMATH DE number 5682092