Pipe surfaces with rational spine curve are rational
type: Item
instance of: scholarly article
title: Pipe surfaces with rational spine curve are rational
zbMATH Open document ID: 0900.68410
DOI: 10.1016/0167-8396(95)00051-8
author: Helmut Pottmann
author: Wei Lü
published in: Computer Aided Geometric Design
publication date: 1997-02-27T00:00:00Z
Mathematics Subject Classification ID: 68U05
Mathematics Subject Classification ID: 41A20
zbMATH DE Number: 983389
zbMATH Keywords: Rational surface
zbMATH Keywords: Rational parameterization
zbMATH Keywords: Pipe surface
zbMATH Keywords: Offset surface
zbMATH Keywords: Normal ringed surface
zbMATH Keywords: Blend surface
zbMATH Keywords: Pythagorean-hodograph curve
MaRDI profile type: Publication
full work available at URL: 0167-8396(95)00051-8
OpenAlex ID: W2089493441
cites work: Q4856393
cites work: Construction of \(C^ 2\) Pythagorean-hodograph interpolating splines by the homotopy method
cites work: Curvature continuous connections of cones and cylinders
cites work: Q4026160
cites work: The conformal map \(z\to z^ 2\) of the hodograph plane
cites work: Hermite Interpolation by Pythagorean Hodograph Quintics
cites work: Pythagorean-hodograph space curves
cites work: Q4324647
cites work: Q4278198
cites work: Rationality of the offsets to algebraic curves and surfaces
cites work: Offset-rational parametric plane curves
cites work: Computing rational parametrizations of canal surfaces
cites work: Q4324677
cites work: Rational curves and surfaces with rational offsets
cites work: Curve design with rational Pythagorean-hodograph curves
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description: scientific article; zbMATH DE number 983389