PTOPO: A Maple package for the topology of parametric curves

被引：0
|
作者：
Katsamaki, Christina [1 ,2 ]
Rouillier, Fabrice [1 ,2 ]
Tsigaridas, Elias [1 ,2 ]
Zafeirakopoulos, Zafeirakis [3 ]
机构：
[1] Sorbonne Univ, Inria Paris, IMJ PRG, F-75005 Paris, France
[2] Paris Univ, F-75005 Paris, France
[3] Gebze Tech Univ, Kocaeli, Turkey
来源：
ACM COMMUNICATIONS IN COMPUTER ALGEBRA | 2020年 / 54卷 / 02期
关键词：
D O I：
10.1145/3427218.3427223
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. [GRAPHICS]
引用
收藏
页码：49 / 52
页数：4
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