Title | ||
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A symmetric, non-uniform, refine and smooth subdivision algorithm for general degree B-splines |
Abstract | ||
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Subdivision surfaces would find a greater number of applications if there was a scheme that included general degree NURBS as a special case. As a step towards such a scheme, we present a univariate refine and smooth subdivision algorithm that applies directly to regular regions of a surface and might, in future work, be generalised to incorporate extraordinary points. The algorithm is symmetric and non-uniform, is defined for general degree, and has similar properties to the uniform Lane-Riesenfeld refine and smooth construction. |
Year | DOI | Venue |
---|---|---|
2009 | 10.1016/j.cagd.2007.12.001 | Computer Aided Geometric Design |
Keywords | Field | DocType |
subdivision,non-uniform,lane–riesenfeld,extraordinary point,knot insertion,smoothing,general degree,general degree nurbs,regular region,greater number,nurbs,subdivision surface,lane-riesenfeld,future work,smooth construction,smooth subdivision algorithm,general degree b-splines,similar property | Spline (mathematics),Topology,Subdivision surface,Subdivision,Finite subdivision rule,Smoothing,T-spline,Univariate,Mathematics,Special case | Journal |
Volume | Issue | ISSN |
26 | 1 | Computer Aided Geometric Design |
Citations | PageRank | References |
13 | 0.71 | 10 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Thomas J. Cashman | 1 | 167 | 9.69 |
Neil A. Dodgson | 2 | 723 | 54.20 |
Malcolm A. Sabin | 3 | 358 | 60.06 |