Subdivision of a rectangular Bezier surface

Subdivision of a triangular Bezier surface

 


Subdivision of a rectangular Bezier surface

The de Castlejau algorithm can be used to subdivide a Bezier surface into Bezier spline patches.

Remark: The Bezier nets associated with repeated subdivision converge to the Bezier surface. The Bezier net approximates the surface, and can be used to compute intersection curves of Bezier surfaces. The figure shows the approximation of a Bezier surface by repeated refining of the Bezier net.

Subdivision of a triangular Bezier surface --