On the shape of curves that are rational in polar coordinates

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URI: http://hdl.handle.net/10902/5303
ISSN: 0167-8396
ISSN: 1879-2332
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Autoría
Alcázar Arribas, Juan Gerardo; Díaz Toca, Gema MaríaAutoridad Unican
Fecha
2012-12
Derechos
Copyright © 2012 Elsevier B.V. All rights reserved. This is the author’s version of a work that was accepted for publication in Computer Aided Geometric Design. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Computer Aided Geometric Design, Vol. 29, Iss. 9, Pp. 665–675, (2012), DOI:10.1016/j.cagd.2012.09.001
Publicado en
Computer Aided Geometric Design, Vol. 29, Iss. 9, Pp. 665–675, (2012)
Editorial
Elsevier
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Palabras clave
Rational curves
Polar coordinates
Resumen/Abstract
In this paper we provide a computational approach to the shape of curves which are rational in polar coordinates, i.e. which are defined by means of a parametrization (r(t),θ(t)) where both r(t), θ(t) are rational functions. Our study includes theoretical aspects on the shape of these curves, and algorithmic results which eventually lead to an algorithm for plotting the “interesting parts” of the curve, i.e. the parts showing the main geometrical features.
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