Using projection operators in computer aided geometric design

Laurent Busé (1) , Mohamed Elkadi (1) , Bernard Mourrain (1)

1 GALAAD - Geometry, algebra, algorithms

We give an overview of resultant theory and some of its applications in computer aided geometric design. First, we mention different formulations of resultants, including the projective resultant, the toric resultant, and the residual resultant. In the second part we illustrate these tools, and other projection operators, on typical problems of CAGD such as surface implicitization, inversion, intersection, and detection of singularities of a parameterized surface.

Domaines: Calcul formel [cs.SC]; Géométrie algébrique [math.AG]

Laurent Busé, Mohamed Elkadi, Bernard Mourrain. Using projection operators in computer aided geometric design. Contemporary mathematics, 2003, 334, pp.321--342. ⟨inria-00098681⟩