Title
Local subdivision of Powell-Sabin splines
Abstract
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
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 Speleers123624.49
Paul Dierckx29612.28
Stefan Vandewalle350162.63