Title: The Relationship Between RATS-splines and the Catmull and Clark B-splines
Authors: Savva, Andreas
Clapworthy, Gordon J.
Citation: WSCG '2001: Conference proceedings: The 9-th International Conference in Central Europe on Computer Graphics, Visualization and Computer Vision 2001: University of West Bohemia, Plzen, Czech Republic, February 5.-9., 2001, p. 118-123.
Issue Date: 2001
Publisher: University of West Bohemia
Document type: konferenční příspěvek
URI: http://wscg.zcu.cz/wscg2001/Papers_2001/R363.pdf
ISBN: 80-7082-713-0
ISSN: 1213-6972
Keywords: modelování ploch;rekurzivní drážky;geometrický design;arbitrární topologické tvary
Keywords in different language: surfaces modelling;recursive splines;geometric design;arbitrary topology figures
Abstract: 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 four-sided 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: © University of West Bohemia
Appears in Collections:WSCG '2001: Conference proceedings

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