Dual bases of multivariate Bernstein-Bézier polynomials

doi:10.1016/0167-8396(88)90026-X

Computer Aided Geometric Design

Volume 5, Issue 2, July 1988, Pages 119-125

https://doi.org/10.1016/0167-8396(88)90026-X Get rights and content

Abstract

The dual bases of multivariate B-B polynomials on simplices are presented. With these dual bases we prove some conclusions for B-B surfaces on simplices, such as Domain Transformation. In addition, we construct a generalized Hermite interpolant on simplices and a general nine parameter interpolant on triangles by means of the dual bases of multivariate B-B polynomials.

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There are more references available in the full text version of this article.

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^☆: Projects supported by National Natural Science Foundation of China.

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Dual bases of multivariate Bernstein-Bézier polynomials☆

Abstract

J. Approx. Theory

Computer-aided Design

Computer Aided Geometric Design

Splines as linear combinations of B-splines

B-form basics