Article ID Journal Published Year Pages File Type
441684 Computer Aided Geometric Design 2006 5 Pages PDF
Abstract

A simple proof of an elegant identity for multivariate Bernstein polynomials discovered recently by K. Jetter and J. Stöckler is given. This identity shows a pointwise orthogonality relation of multivariate Bernstein polynomials and implies a new representation for the dual basis of multivariate Bernstein polynomials. Our method is based on “generating functions”, which reveals a general structure of the identity.

Related Topics
Physical Sciences and Engineering Computer Science Computer Graphics and Computer-Aided Design