Title:
G^2 Subdivision Algorithms

Abstract:
In this talk I will present two different ways to construct
subdivision algorithms that generate G^2 surfaces.

The first approach utilizes the eigenanalysis of the
subdivision matrix of the Catmull/Clark or Loop algorithm.
The resulting subdivision schemes generate G^2 surfaces
with flat points.

In the second approach the free parameters of the p-patch
construction are determined such that the resulting
surfaces allow for subdivision. These surfaces are
G^2 without flat points.