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Geometric Applications of the Bezout Matrix in the Bivariate Tensor-product Lagrange Basis

Thursday, May 31, 2007 - 3:10pm - 3:40pm
EE/CS 3-180
Laureano Gonzalez-Vega (University of Cantabria)
Using a new formulation of the Bezout matrix, we construct bivariate
matrix polynomials expressed in a tensor-product Lagrange basis. We
use these matrix polynomials to solve common tasks in computer-aided
geometric design:
for example, we show that these bivariate polynomials can serve as
stable and efficient implicit epresentations of plane
curves for a variety of curve intersection problems including offset
manipulation.

This is a joint work with D. Aruliah, R. Corless and A. Shakoori