Near-optimal parameterization of the intersection of quadrics. II. A classification of pencils

DOI10.1016/j.jsc.2007.10.012zbMath1147.14304OpenAlexW2012274385MaRDI QIDQ954970

Laurent Dupont, Daniel Lazard, Sylvain Petitjean, Sylvain Lazard

Publication date: 18 November 2008

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

Full work available at URL: https://hal.inria.fr/inria-00186090/file/JSC2.pdf

zbMATH Keywords

classificationintersection of surfacescurve parameterizationpencils of quadrics

Mathematics Subject Classification ID

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

Related Items (9)

Using signature sequences to classify intersection curves of two quadrics ⋮ Topological classification of the intersection curves of two quadrics using a set of discriminants ⋮ Certified rational parametric approximation of real algebraic space curves with local generic position method ⋮ Continuous detection of the variations of the intersection curve of two moving quadrics in 3-dimensional projective space ⋮ Near-optimal parameterization of the intersection of quadrics. I. The generic algorithm ⋮ Near-optimal parameterization of the intersection of quadrics. II. A classification of pencils ⋮ Enumerating the morphologies of non-degenerate Darboux cyclides ⋮ Tools for analyzing the intersection curve between two quadrics through projection and lifting ⋮ The Voronoi diagram of three lines

Cites Work

• Unnamed Item
• Near-optimal parameterization of the intersection of quadrics. II. A classification of pencils
• Simultaneous block diagonalization of two real symmetric matrices
• A canonical form for a pair of real symmetric matrices that generate a nonsingular pencil
• Intersecting quadrics: an efficient and exact implementation
• An algebraic condition for the separation of two ellipsoids

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