Loop detection in surface patch intersections
Computer Aided Geometric Design
Modeling of curves and surfaces in CAD/CAM
Modeling of curves and surfaces in CAD/CAM
Surface-to-Surface Intersections
IEEE Computer Graphics and Applications - Special issue on computer-aided geometric design
The algebra and geometry of Steiner and other quadratically parametrizable surfaces
Computer Aided Geometric Design
An efficient surface intersection algorithm based on lower-dimensional formulation
ACM Transactions on Graphics (TOG)
Generalized resultants over unirational algebraic varieties
Journal of Symbolic Computation - Special issue on symbolic computation in algebra, analysis and geometry
The resultant of an unmixed bivariate system
Journal of Symbolic Computation - Special issue: International symposium on symbolic and algebraic computation (ISSAC 2002)
Inversion of parameterized hypersurfaces by means of subresultants
ISSAC '04 Proceedings of the 2004 international symposium on Symbolic and algebraic computation
Sylvester-resultants for bivariate polynomials with planar newton polygons
ISSAC '04 Proceedings of the 2004 international symposium on Symbolic and algebraic computation
On the geometry of parametrized bicubic surfaces
Journal of Symbolic Computation
Computer Aided Geometric Design
Bernstein Bezoutians and application to intersection problems
Computer Aided Geometric Design
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The computation of intersection and self-intersection loci of parametrized surfaces is an important task in Computer Aided Geometric Design. We address these problems via four resultants with separated variables; two of them are specializations of general multivariate resultants and the two others are specializations of determinantal resultants. We give a rigorous study in these four cases and provide new formulas in terms of Bezoutian matrix.