Abstract: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.