Piecewise parametric approximations for algebraic curves
type: Item
instance of: scholarly article
title: Piecewise parametric approximations for algebraic curves
zbMATH Open document ID: 0661.65014
DOI: 10.1016/0167-8396(89)90005-8
author: Warren N. jun. Waggenspack
author: David C. Anderson
published in: Computer Aided Geometric Design
publication date: 1989-01-01T00:00:00Z
review text: The authors present algorithms to approximate higher order algebraic curves by piecewise rational curves which then can be parametrized (cf. \textit{Camille Jordan}, Cours d'Analyze, 2nd ed., Gauthier-Villars Paris 1893, Vol. 1, Section 607-612). For nonsingular curves the procedure admits a manageable form of error control. For singularities, they propose resolution by quadratic transformations. The practical implementation of a computer analysis of higher singularities is not attempted.
Mathematics Subject Classification ID: 65D15
Mathematics Subject Classification ID: 53A04
Mathematics Subject Classification ID: 14H05
zbMATH DE Number: 4080737
zbMATH Keywords: higher order algebraic curves
zbMATH Keywords: piecewise rational curves
zbMATH Keywords: nonsingular curves
zbMATH Keywords: error control
zbMATH Keywords: quadratic transformations
reviewed by: Heinrich Guggenheimer
MaRDI profile type: Publication
full work available at URL: 0167-8396(89)90005-8
OpenAlex ID: W1997318720
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description: scientific article; zbMATH DE number 4080737