On multivariate polynomials in Bernstein-Bézier form and tensor algebra
A multilinear tensor notation is presented here to describe blossoms of multivariate polynomials in Bernstein-Bézier form. Such a blossom can be written as a collection of tensor-vector products. It is observed that the computation of these products can be interpreted as applying the (multi-affine) de Casteljau algorithm. Tensor algebra can thus be used for manipulating polynomials. As one of the applications the author considers Hermite interpolation with polynomials and splines [cf. \textit{H. Speleers}, Comput. Aided Geom. Design 27, 438--457 (2010; Zbl 1210.65027)].
scientific article; zbMATH DE number 5987778