Intersection and self-intersection of surfaces by means of Bezoutian matrices
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. (c) 2007 Elsevier B.V. All rights reserved.
bezoutian resultants algebraic surfaces intersection locus self-intersection locus