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Bezier Surfaces Evaluators
In two dimensions, everything is similar to the one-dimensional case, except
that all the commands must take two parameters, u and v,
into account. Points, colors, normals, or texture coordinates must be supplied
over a surface instead of a curve.
Mathematically, the definition of a
Bezier surface patch is given by
where Pij are a set of m*n control points, and the Bi
are the same Bernstein polynomials for one dimension.
As before, the Pij
can represent vertices, normals, colors, or texture coordinates.