Dual bases of a Bernstein polynomial basis on simplices
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Abstract This paper extends the theory of dual bases of a one-variate B-spline basis to the case of Bernstein polynomials and presents methods of constructing dual bases of a Bernstein polynomial basis on a simplex from that of a one-variate polynomial basis, s{xis}ni=0 and s{Bki,k-i(x) = (ki)xi(l-x)k-i}ski=0 on the interval [0,1].
[1] C. D. Boor,et al. B-Form Basics. , 1986 .
[2] Kang Zhao,et al. Dual bases of multivariate Bernstein-Bézier polynomials , 1988, Comput. Aided Geom. Des..
[3] C. D. Boor,et al. Splines as linear combinations of B-splines. A Survey , 1976 .
[4] Carl de Boor,et al. On Local Linear Functionals which Vanish at all B-Splines but One. , 1975 .