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Bézier representation of the constrained dual Bernstein polynomials

Published 6 Sep 2011 in math.NA | (1109.1169v1)

Abstract: Explicit formulae for the B\'ezier 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.

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