On multivariate polynomials in Bernstein-Bézier form and tensor algebra

The Bernstein-Bezier representation of polynomials is a very useful tool in computer aided geometric design. In this paper we make use of (multilinear) tensors to describe and manipulate multivariate polynomials in their Bernstein-Bezier form. As an application we consider Hermite interpolation with polynomials and splines.

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