Topology of 2D and 3D Rational Curves

Details Topology of 2D and 3D Rational Curves Topology of 2D and 3D Rational Curves

2009-09-17

arxiv.org/abs/0909.3248v1

Computer Science

Symbolic Computation

26 pages, 19 figures

Scientific paper

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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