Algorithms and identities for bivariate (H1, H2)-Blossoming

Document Type

Article

Publication Date

1-1-2017

Abstract

We extend the definition of h-blossoming for polynomials in one variable to the polynomials in two variables, and we use this bivariate (h1, h2)- blossoming to study various properties, identities, and algorithms associated with (h1, h2)-Bézier surfaces. We construct a recursive (h1, h2)-midpoint subdivision algorithm for the (h1, h2)-Bézier surfaces and we prove its geometric rate of convergence.

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