On rational parametric curve approximation
type: Item
instance of: scholarly article
title: On rational parametric curve approximation
zbMATH Open document ID: 0781.65012
DOI: 10.1016/0167-8396(93)90047-7
author: Juan-Miguel Gracia
published in: Computer Aided Geometric Design
publication date: 1993-10-25T00:00:00Z
review text: A new method is proposed for the rational approximation of functions. The autors describe extensions to the basic method which permit the generation of approximations satisfying point constraints and derivative constraints of arbitrary order at the endpoints of the interval of interest. In a CAGD context, this allows the segment by segment approximation of piecewise defined curves in such a way that continuity characteristics of the original curve are retained by the overall approximant. In the present method, an error function is chosen to avoid nonlinearity in the computation; the result is not a ``best'' approximation, but is usually good enough for many practical purposes. The same basic approach can be used for approximating either scalar or vector-valued functions.
Mathematics Subject Classification ID: 65D17
zbMATH DE Number: 431244
zbMATH Keywords: parametric curve
zbMATH Keywords: computer aided geometric design
zbMATH Keywords: rational approximation
zbMATH Keywords: error function
zbMATH Keywords: vector-valued functions
reviewed by: R. S. Dahiya
MaRDI profile type: Publication
full work available at URL: 0167-8396(93)90047-7
OpenAlex ID: W2077336859
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description: scientific article; zbMATH DE number 431244