PTOPO: A Maple package for the topology of parametric curves

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dc.contributor.authorKatsamaki, Christina
dc.contributor.authorRouillier, Fabrice
dc.contributor.authorTsigaridas, Elias
dc.contributor.authorZafeirakopoulos, Zafeirakis
dc.date.accessioned2025-10-29T11:13:04Z
dc.date.issued2020
dc.departmentGebze Teknik Üniversitesi
dc.description.abstractPTOPO 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. [GRAPHICS]
dc.description.sponsorshipFondation Mathematique Jacques Hadamard PGMO grand ALMA
dc.description.sponsorshipAgence Nationale de la Recherche [ANR-17-CE40-0009]
dc.description.sponsorshipPHC GRAPE
dc.description.sponsorshipScientific and Technological Research Council of Turkey [118F321, 2509, 118C240, 2232, 117F100, 3501]
dc.description.sponsorshipAgence Nationale de la Recherche (ANR) [ANR-17-CE40-0009] Funding Source: Agence Nationale de la Recherche (ANR)
dc.description.sponsorshipFR, ET and ZZ are partially supported by Fondation Mathematique Jacques Hadamard PGMO grand ALMA, Agence Nationale de la Recherche ANR-17-CE40-0009, PHC GRAPE and by the projects 118F321 under the program 2509, 118C240 under the program 2232, and 117F100 under the program 3501 of the Scientific and Technological Research Council of Turkey.
dc.identifier.doi10.1145/3427218.3427223
dc.identifier.endpage52
dc.identifier.issn1932-2232
dc.identifier.issn1932-2240
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85092929516
dc.identifier.scopusqualityQ4
dc.identifier.startpage49
dc.identifier.urihttps://doi.org/10.1145/3427218.3427223
dc.identifier.urihttps://hdl.handle.net/20.500.14854/6566
dc.identifier.volume54
dc.identifier.wosWOS:000576735600005
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherAssoc Computing Machinery
dc.relation.ispartofAcm Communications in Computer Algebra
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20251020
dc.titlePTOPO: A Maple package for the topology of parametric curves
dc.typeArticle

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