Using a new formulation of the Bézout matrix, we construct bivariate matrix polynomials expressed... more Using a new formulation of the Bézout 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.
... If the reader is not satisfied with what he/she finds, it is, perhaps, the fault of The Edito... more ... If the reader is not satisfied with what he/she finds, it is, perhaps, the fault of The Editors, Laureano Gonzalez-Vega and Tomas Recio Page 12. 2 M.-E. Alonso, E. Becker, M.-F. Roy, T. Wormann According to the multiplicities of the points, the variety V (I) is split into subsets V^(J ...
It is shown that Maple is an appropriate problem solving environment for experimenting with algor... more It is shown that Maple is an appropriate problem solving environment for experimenting with algorithms for computer aided geometric design and for performing computations which can benefit from a mixture of numeric and symbolic computation.
Using a new formulation of the Bézout matrix, we construct bivariate matrix polynomials expressed... more Using a new formulation of the Bézout 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.
... If the reader is not satisfied with what he/she finds, it is, perhaps, the fault of The Edito... more ... If the reader is not satisfied with what he/she finds, it is, perhaps, the fault of The Editors, Laureano Gonzalez-Vega and Tomas Recio Page 12. 2 M.-E. Alonso, E. Becker, M.-F. Roy, T. Wormann According to the multiplicities of the points, the variety V (I) is split into subsets V^(J ...
It is shown that Maple is an appropriate problem solving environment for experimenting with algor... more It is shown that Maple is an appropriate problem solving environment for experimenting with algorithms for computer aided geometric design and for performing computations which can benefit from a mixture of numeric and symbolic computation.
Uploads