Near-optimal parameterization of the intersection of quadrics. I. The generic algorithm
type: Item
instance of: scholarly article
title: Near-optimal parameterization of the intersection of quadrics. I. The generic algorithm
zbMATH Open document ID: 1147.14303
author: Laurent Dupont
author: D. Lazard
author: Sylvain Lazard
author: Sylvain Petitjean
published in: Journal of Symbolic Computation
publication date: 2008-11-18T00:00:00Z
Mathematics Subject Classification ID: 14Q05
Mathematics Subject Classification ID: 68W30
zbMATH DE Number: 5368308
zbMATH Keywords: intersection of surfaces
zbMATH Keywords: quadrics
zbMATH Keywords: pencils of quadrics
zbMATH Keywords: curve parameterization
describes a project that uses: ISOLATE
describes a project that uses: ESOLID
MaRDI profile type: Publication
full work available at URL: j.jsc.2007.10.006
OpenAlex ID: W2000124444
cites work: An exact, complete and efficient implementation for computing planar maps of quadric intersection curves
cites work: Near-optimal parameterization of the intersection of quadrics
cites work: Near-optimal parameterization of the intersection of quadrics. II. A classification of pencils
cites work: Near-optimal parameterization of the intersection of quadrics. III. Parameterizing singular intersections
cites work: Automatic parsing of degenerate quadric-surface intersections
cites work: Q3838778
cites work: Q5675788
cites work: Intersecting quadrics: an efficient and exact implementation
cites work: A parametric algorithm for drawing pictures of solid objects composed of quadric surfaces
cites work: On the computation of an arrangement of quadrics in 3D
cites work: Q4834178
cites work: Q4431815
cites work: Efficient isolation of polynomial's real roots.
cites work: An exact and efficient approach for computing a cell in an arrangement of quadrics
cites work: Parametrization of algebraic curves over optimal field extensions
cites work: Q4934148
cites work: Simultaneous block diagonalization of two real symmetric matrices
cites work: A canonical form for a pair of real symmetric matrices that generate a nonsingular pencil
cites work: Enhancing Levin's method for computing quadric-surface intersections
cites work: Rational Quadratic Parameterizations of Quadrics
cites work: Computing quadric surface intersections based on an analysis of plane cubic curves
cites work: Quadric-surface intersection curves: Shape and structure
DOI: 10.1016/J.JSC.2007.10.006
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description: scientific article; zbMATH DE number 5368308