Equations, inequations and inequalities characterizing the configurations of two real projective conics

DOI10.1007/s00200-006-0023-8zbMath1192.14044arXivmath/0505628OpenAlexW2113003333MaRDI QIDQ985356

Emmanuel Briand

Publication date: 5 August 2010

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0505628

zbMATH Keywords

rigid isotopyclassical invariant theoryarrangements of conicsrelative position of two conics

Mathematics Subject Classification ID

Computational aspects of algebraic curves (14Q05) Topology of real algebraic varieties (14P25)

Related Items (4)

New algebraic conditions for the identification of the relative position of two coplanar ellipses ⋮ Imaginary projections: complex versus real coefficients ⋮ Path splines with conic envelopes ⋮ Computing the intersections of three conics according to their Jacobian curve

Cites Work

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• Algebraic methods and arithmetic filtering for exact predicates on circle arcs
• A new approach to characterizing the relative position of two ellipses depending on one parameter
• Algorithms in real algebraic geometry
• An algebraic condition for the separation of two ellipsoids

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