Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
441684 | Computer Aided Geometric Design | 2006 | 5 Pages |
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.
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