| 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 conferenceObject |
| URI: | http://wscg.zcu.cz/wscg2001/Papers_2001/R363.pdf http://hdl.handle.net/11025/11259 |
| 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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