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math.NA2005
Structured matrices in the application of bivariate interpolation to curve implicitization
Ana Marco, Jose-Javier Martinez
A nonstandard application of bivariate polynomial interpolation is discussed: the implicitization of a rational algebraic curve given by its parametric equations. Three different a…
math.NA2005
Curve implicitization in the bivariate tensor-product Bernstein basis
Ana Marco, Jose-Javier Martinez
The approach to curve implicitization through Sylvester and Bezout resultant matrices and bivariate interpolation in the usual power basis is extended to the case of Bernstein-Bezo…