Mean value bezier surfaces

Bezier surfaces are an important design tool in Computer Aided Design. They are parameterized surfaces where the parameterization can be represented as a homogeneous polynomial in barycentric coordinates. Usually, Wachspress coordinates are used to obtain tensor product Bezier surfaces over rectangular domains. Recently, Floater introduced mean value coordinates as an alternative to Wachspress coordinates. When used to construct Bezier patches, they offer additional control points without raising the polynomial degree. We investigate the potential of mean value coordinates to design mean value Bezier surfaces.