Bezier patches and volumes

a b c

A 3D object (a) is modelled using a parametric Bezier volume with functional and extended Bezier clipping operations. It makes the object a legal primitive for set-theoretic (b), hypertexturing © and other operations closed on F-rep.

Details on clipping operations and other examples can be found in the paper:

Miura K.T., Pasko A.A., Savchenko V.V. “Parametric patches and volumes in the functional representation of geometric solids”, CSG 96 (Winchester, UK, 17-19 April 1996), Information Geometers, pp.217-231.
Electronic version: PostScript + gzip (278K)