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Approximation of circular arcs by parametric polynomial curves
Authors:Gašper Jaklič  Jernej Kozak  Marjeta Krajnc  Emil Žagar
Affiliation:(1) Institute of Mathematics, Physics and Mechanics, Jadranska 19, 1000 Ljubljana, Slovenia;(2) Faculty of Mathematics and Physics, University of Ljubljana, Ljubljana, Slovenia
Abstract:
In this paper the approximation of circular arcs by parametric polynomial curves is studied. If the angular length of the circular arc is h, a parametric polynomial curve of arbitrary degree (n in {mathbb{N}}) , which interpolates given arc at a particular point, can be constructed with radial distance bounded by h 2n . This is a generalization of the result obtained by Lyche and Mørken for odd n.
Keywords:Circular arc  Approximation  Parametric distance
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