Computing the topology of an arrangement of implicitly defined real algebraic plane curves

DOI10.1631/jzus.A08GMP01zbMath1179.65024OpenAlexW2045948665MaRDI QIDQ1045532

Laureano Gonzalez-Vega, Jorge Caravantes

Publication date: 15 December 2009

Published in: Journal of Zhejiang University. Science A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1631/jzus.a08gmp01

zbMATH Keywords

numerical examplesreal plane curvestopology computationsweeping method

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18)

Uses Software

• LEDA
• insulate

Cites Work

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• Exact, efficient, and complete arrangement computation for cubic curves
• The topological configuration of a real algebraic curve
• On the exact computation of the topology of real algebraic curves
• On the topology of planar algebraic curves
• Computing the Topology of an Arrangement of Quartics
• The design and implementation of panar maps in CGAL
• Algorithms in real algebraic geometry

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