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arXiv · 0909.3248

Topology of 2D and 3D Rational Curves

Juan Gerardo Alcazar·Gema Maria Diaz-Toca
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Abstract

In this paper we present algorithms for computing the topology of planar and space rational curves defined by a parametrization. The algorithms given here work directly with the parametrization of the curve, and do not require to compute or use the implicit equation of the curve (in the case of planar curves) or of any projection (in the case of space curves). Moreover, these algorithms have been implemented in Maple; the examples considered and the timings obtained show good performance skills.

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BibTeXRIS

Juan Gerardo Alcazar, Gema Maria Diaz-Toca. 2009-09-17. Topology of 2D and 3D Rational Curves. https://doi.org/10.1016/j.cagd.2010.07.001

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