PTOPO

Author:

Katsamaki Christina1,Rouillier Fabrice2,Tsigaridas Elias2,Zafeirakopoulos Zafeirakis3

Affiliation:

1. Sorbonne Université and Paris Université, Paris, France

2. Sorbonne Université and Paris Université, France

3. Gebze Technical University, Kocaeli, Turkey

Abstract

PTOPO is a MAPLE package computing the topology and describing the geometry of a parametric plane curve. The algorithm behind PTOPO constructs an abstract graph that is isotopic to the curve. PTOPO exploits the benefits of the parametric representation and performs all computations in the parameter space using exact computing. PTOPO computes the topology and visualizes the curve in less than a second for most examples in the literature.

Publisher

Association for Computing Machinery (ACM)

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