PTOPO: A Maple package for the topology of parametric curves

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.

Domains

Symbolic Computation [cs.SC] Mathematical Software [cs.MS]

Fichier principal

soft_ptopo.pdf (353.55 Ko)

Origin	Files produced by the author(s)

Elias Tsigaridas : Connect in order to contact the contributor

https://inria.hal.science/hal-02953909

Submitted on : Thursday, October 1, 2020-9:51:43 AM

Last modification on : Saturday, April 27, 2024-3:10:24 AM

Long-term archiving on : Monday, January 4, 2021-8:47:25 AM

Dates and versions

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

Identifiers

HAL Id : hal-02953909 , version 1
DOI : 10.1145/3427218.3427223

Cite

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⟩

Export

BibTeX XML-TEI Dublin Core DC Terms EndNote DataCite

Collections

CNRS INRIA INSMI IMJ INRIA2 SORBONNE-UNIVERSITE SU-SCIENCES UP-SCIENCES ANR

99 View

305 Download