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On the Topology of Real Algebraic Plane Curves

✍ Scribed by Jinsan Cheng; Sylvain Lazard; Luis Peñaranda; Marc Pouget; Fabrice Rouillier; Elias Tsigaridas

Book ID
107508919
Publisher
Springer-Verlag
Year
2010
Tongue
English
Weight
509 KB
Volume
4
Category
Article
ISSN
1661-8270

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Efficient topology determination of impl
Efficient topology determination of implicitly defined algebraic plane curves
✍ Laureano Gonzalez-Vega; Ioana Necula 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 233 KB

This paper is devoted to present a new algorithm computing in a very efficient way the topology of a real algebraic plane curve defined implicitly. This algorithm proceeds in a seminumerical way by performing a symbolic preprocessing which allows later to accomplish the numerical computations in a v