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ALGORITHMS AND IDENTITIES FOR BIVARIATE $(h_1, h_2)$-BLOSSOMING

2017
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International Journal of Applied Mathematics
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We extend the definition of h-blossoming for polynomials in one variable to the polynomials in two variables, and we use this bivariate (h 1 , h 2 )blossoming to study various properties, identities, and algorithms associated with (h 1 , h 2 )-Bézier surfaces. We construct a recursive (h 1 , h 2 )-midpoint subdivision algorithm for the (h 1 , h 2 )-Bézier surfaces and we prove its geometric rate of convergence. The quantum q-analogues of Bernstein basis functions were introduced and studied by

doi:10.12732/ijam.v30i4.5
fatcat:z42avurjhre2phowrbbpp3weni