The Relationship Between RATS-splines and the Catmull and Clark B-splines

This paper presents the relationship between the Recursive Arbitrary Topology Splines (RATS) method, derived by the authors, and the Catmull and Clark recursive B-Spline method. Both methods are capable of defining surfaces of any arbitrary topology of control points. They "fill -in" n-sided regions with foursided patches. The Catmull & Clark method is… (More)