Triangular Berstein-Be´zier patches
Computer Aided Geometric Design
Efficient evaluation of multivariate polynomials
Computer Aided Geometric Design
Computer Aided Geometric Design
A characterization theorem of multivariate splines in blossoming form
Computer Aided Geometric Design
An Introduction to Polar Forms
IEEE Computer Graphics and Applications - Special issue on computer-aided geometric design
Decomposition of quantics in sums of powers of linear forms
Signal Processing - Special issue on higher order statistics
On the optimal stability of the Bernstein basis
Mathematics of Computation
On calculating normalized Powell-Sabin B-splines
Computer Aided Geometric Design
A Multilinear Singular Value Decomposition
SIAM Journal on Matrix Analysis and Applications
Piecewise Quadratic Approximations on Triangles
ACM Transactions on Mathematical Software (TOMS)
Macro-elements and stable local bases for splines on Powell-Sabin triangulations
Mathematics of Computation
Evaluation algorithms for multivariate polynomials in Bernstein--Bézier form
Journal of Approximation Theory
Symmetric Tensors and Symmetric Tensor Rank
SIAM Journal on Matrix Analysis and Applications
Tensor Decompositions and Applications
SIAM Review
A normalized basis for quintic Powell--Sabin splines
Computer Aided Geometric Design
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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.