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Journal Articles ACM Communications in Computer Algebra Year : 2020

PTOPO: A Maple package for the topology of parametric curves

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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.
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Dates and versions

hal-02953909 , version 1 (01-10-2020)

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Christina Katsamaki, Fabrice Rouillier, Elias Tsigaridas, Zafeirakis Zafeirakopoulos. PTOPO: A Maple package for the topology of parametric curves. ACM Communications in Computer Algebra, 2020, 54 (2), pp.49-52. ⟨10.1145/3427218.3427223⟩. ⟨hal-02953909⟩
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