Approximation of circular arcs by parametric polynomial curves |
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Authors: | Gašper Jaklič Jernej Kozak Marjeta Krajnc Emil Žagar |
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Affiliation: | (1) Institute of Mathematics, Physics and Mechanics, Jadranska 19, 1000 Ljubljana, Slovenia;(2) Faculty of Mathematics and Physics, University of Ljubljana, Ljubljana, Slovenia |
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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. |
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Keywords: | Circular arc Approximation Parametric distance |
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