Intersection and self-intersection of surfaces by means of Bezoutian matrices

DOI10.1016/j.cagd.2007.07.001zbMath1172.14346OpenAlexW2061979517MaRDI QIDQ735450

Laurent Busé, Andre Galligo, Mohamed Elkadi

Publication date: 22 October 2009

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cagd.2007.07.001

zbMATH Keywords

resultantsalgebraic surfacesBezoutianintersection locusself-intersection locus

Mathematics Subject Classification ID

Computational aspects of algebraic surfaces (14Q10) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (4)

Symbolic computation of the orthogonal projection of rational curves onto rational parameterized surfaces ⋮ Computing intersection and self-intersection loci of parametrized surfaces using regular systems and Gröbner bases ⋮ Bernstein Bézoutians and application to intersection problems ⋮ Self-intersection computation for freeform surfaces based on a regional representation scheme for miter points

Cites Work

• Introduction to the theory of weighted projective spaces
• Loop detection in surface patch intersections
• Le formalisme du résultant. (The formalism of resultant)
• The algebra and geometry of Steiner and other quadratically parametrizable surfaces
• Generalized resultants over unirational algebraic varieties
• Resultants of determinantal varieties
• The resultant of an unmixed bivariate system
• Anisotropic resultant. Complements and applications
• On the geometry of parametrized bicubic surfaces
• Sylvester-resultants for bivariate polynomials with planar newton polygons
• Resultant over the residual of a complete intersection.
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