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.
Speleers, H. (2011). On multivariate polynomials in Bernstein-Bezier form and tensor algebra. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 236(4), 589-599 [10.1016/j.cam.2011.04.032].
On multivariate polynomials in Bernstein-Bezier form and tensor algebra
Speleers H.
2011-09-15
Abstract
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.File in questo prodotto:
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