UWO ORCCA TR-07-02 Summary

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

Geometric Applications of the Bezout Matrix in the Bivariate Tensor-Product Lagrange Basis. Dhavide Aruliah, Robert M. Corless, Laureano Gonzalez-Vega, and Azar Shakoori. Paper submitted to ISSAC 2007.

Abstract: 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 representations of plane curves for a variety of curve intersection problems.

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