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 sqrt(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.
Speleers, H., Dierckx, P., Vandewalle, S. (2006). Local subdivision of Powell-Sabin splines. COMPUTER AIDED GEOMETRIC DESIGN, 23(5), 446-462 [10.1016/j.cagd.2006.02.002].
Local subdivision of Powell-Sabin splines
Speleers H.;
2006-07-01
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 sqrt(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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
