Helix splines as an example of affine Tchebycheffian splines
type: Item
instance of: scholarly article
title: Helix splines as an example of affine Tchebycheffian splines
zbMATH Open document ID: 0832.65008
DOI: 10.1007/BF02519039
author: Helmut Pottmann
author: Michael G. Wagner
published in: Advances in Computational Mathematics
publication date: 1995-09-26T00:00:00Z
review text: A brief review of the results on affine Chebyshevian Bézier curves and \(B\)-splines is given. The main part is devoted to the derivation of a new special affine Chebyshevian free-form scheme, so called ``helix scheme'', which provides exact representation of the most important here geometric objects -- straight lines, circles and helix curves in an arc length parametrization. The corresponding tensor product surfaces are studied. Some applications in curve surface design and the construction of planar \(C^2\)-motions interpolating a given set of positions are presented.
reviewed by: Valery V. Kobkov
Mathematics Subject Classification ID: 65D17
Mathematics Subject Classification ID: 65D07
zbMATH DE Number: 784488
zbMATH Keywords: motion design
zbMATH Keywords: helix scheme
zbMATH Keywords: Chebyshevian Bézier curves
zbMATH Keywords: \(B\)-splines
zbMATH Keywords: straight lines
zbMATH Keywords: circles
zbMATH Keywords: helix curves
zbMATH Keywords: tensor product surfaces
zbMATH Keywords: curve surface design
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 784488