Title: The relation between rats-splines and the catmull and clark b-splines
Authors: Savva, Andreas
Clapworthy, Gordon J.
Citation: Journal of WSCG. 2001, vol. 9, no. 1-3.
Issue Date: 2001
Publisher: Václav Skala - UNION Agency
Document type: článek
URI: http://hdl.handle.net/11025/15789
ISSN: 1213-6972 (print)
1213-6980 (CD-ROM)
1213-6964 (online)
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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