Bézier representation of the constrained dual Bernstein polynomials
arXiv:1109.116927 citationsh-index: 16
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Provides a computational tool for CAGD applications, but the contribution is incremental.
The paper derives explicit formulae for the Bézier coefficients of constrained dual Bernstein polynomials using Hahn orthogonal polynomials, and provides an efficient recursive scheme for computation.
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.