Bézier representation of the constrained dual Bernstein polynomials

作者：

Highlights：

•

摘要

Explicit formulae for the Bézier coefficients of the constrained dual Bernstein basis polynomials are derived in terms of the Hahn orthogonal polynomials. Using difference properties of the latter polynomials, efficient recursive scheme is obtained to compute these coefficients. Applications of this result to some problems of CAGD is discussed.

论文关键词：Dual Bernstein basis,Constrained dual Bernstein basis,Bézier polynomial form,Jacobi polynomials,Hahn polynomials

论文评审过程：Available online 9 November 2011.

论文官网地址：https://doi.org/10.1016/j.amc.2011.10.040