Abstract | ||
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We present an algorithm for local subdivision of Powell-Sabin spline surfaces. The construction of such a spline is based on a particular PS-refinement of a given triangulation. We build the new triangulation on top of this PS-refinement by applying a √3-subdivision scheme on a local part of the domain. To avoid degeneration we introduce a simple heuristic for refinement propagation, driven by a parameter. This parameter manages the trade-off between the mesh quality and the refinement localization. |
Year | DOI | Venue |
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2006 | 10.1016/j.cagd.2006.02.002 | Computer Aided Geometric Design |
Keywords | Field | DocType |
subdivision,refinement propagation,cagd amsmos classication : primary : 65d17,powell–sabin splines,: powell-sabin splines,local part,adaptive renemen t,cagd,mesh quality,new triangulation,refinement localization,sabin spline,secondary : 65d07,particular ps-refinement,powell-sabin spline surface,3-subdivision scheme,simple heuristic,adaptive refinement,local subdivision | Spline (mathematics),Mathematical optimization,Heuristic,Adaptive method,Computational geometry,Computer Aided Design,Smoothing spline,Algorithm,Triangulation (social science),Subdivision,Mathematics,Calculus | Journal |
Volume | Issue | ISSN |
23 | 5 | Computer Aided Geometric Design |
Citations | PageRank | References |
4 | 0.49 | 12 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Hendrik Speleers | 1 | 236 | 24.49 |
Paul Dierckx | 2 | 96 | 12.28 |
Stefan Vandewalle | 3 | 501 | 62.63 |