Bezier representation of the constrained dual Bernstein polynomials

作者：Lewanowicz Stanislaw^*; Wozny Pawel

来源：Applied Mathematics and Computation, 2011, 218(8): 4580-4586.

DOI：10.1016/j.amc.2011.10.040

• Dual Bernstein basis
• Constrained dual Bernstein basis
• Bezier polynomial form
• Jacobi polynomials
• Hahn polynomials

Explicit formulae for the Bezier 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.

• 出版日期2011-12-15