|Title:||The relation between rats-splines and the catmull and clark b-splines|
Clapworthy, Gordon J.
|Citation:||Journal of WSCG. 2001, vol. 9, no. 1-3.|
|Publisher:||Václav Skala - UNION Agency|
|Keywords:||plošné modelování;rekurzivní drážkování;geometrické tvary|
|Keywords in different language:||surface modelling;recursive splines;geometric design|
|Abstract in different language:||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 derived from the midpoint subdivision of B-splines whereas the RATS method is derived from the midpoint subdivision of Bézier splines. RATS generates an additional set of patches defining the border of the surface but the RATS inner surface is identical to the Catmull and Clark surface. This paper illustrates this relationship between the two methods.|
|Rights:||© Václav Skala - UNION Agency|
|Appears in Collections:||Volume 9, number 1-3 (2001)|
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