Computation of the dual of a plane projective curve

DOI10.1006/jsco.2002.0544zbMath1013.14016OpenAlexW2076598819MaRDI QIDQ1864879

Driss Bouziane, M'hammed El Kahoui

Publication date: 23 March 2003

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jsco.2002.0544

zbMATH Keywords

algorithmdual of a projective plane curve

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Plane and space curves (14H50) Computational aspects of algebraic curves (14Q05)

Related Items (9)

Algorithms to compute the topology of orientable real algebraic surfaces ⋮ Subharmonic Configurations and Algebraic Cauchy Transforms of Probability Measures ⋮ The Convex Hull of a Variety ⋮ On the complexity of computing the topology of real algebraic space curves ⋮ Algorithm for Connectivity Queries on Real Algebraic Curves ⋮ Some constructions for real algebraic curves ⋮ Plane algebraic curves with many cusps, with an appendix by Eugenii Shustin ⋮ Topology of real algebraic space curves ⋮ Exploration of dual curves using a dynamic geometry and computer algebra system

Cites Work

• Calcul du nombre de cycles evanouissants d'une hypersurface complexe
• New structure theorem for subresultants
• An algorithm for computing an integral basis in an algebraic function field
• Optimizations of the subresultant algorithm
• An improved upper complexity bound for the topology computation of a real algebraic plane curve
• Spécialisation de la suite de Sturm et sous-résultants (I)
• Subresultants and Reduced Polynomial Remainder Sequences
• Reduction of Singularities of the Differential Equation Ady = Bdx
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