Name
Abstract | ||
|---|---|---|
Hierarchical Powell-Sabin splines are C^1-continuous piecewise quadratic polynomials defined on a hierarchical triangulation. The mesh is obtained by partitioning an initial conforming triangulation locally with a triadic split, so that it is no longer conforming. We propose a normalized quasi-hierarchical basis for this spline space. The basis functions have a local support, they form a convex partition of unity, and they admit local subdivision. We show that the basis is strongly stable on uniform hierarchical triangulations. We consider two applications: data fitting and surface modelling. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1016/j.cagd.2008.05.001 | Computer Aided Geometric Design |
Keywords | Field | DocType |
hierarchical triangulation,68u07,hierarchical powell-sabin spline,powell–sabin splines,quasi-hierarchical powell,convex partition,spline space,: powell-sabin splines,normalized quasi-hierarchical basis,uniform hierarchical triangulations,normalized basis,sabin b-splines,quasi-hierarchical splines,secondary : 65d17,1-continuous piecewise quadratic,local support,basis function,adaptive mesh renemen t amsmos classication : primary : 65d07,adaptive refinement,local subdivision,normal basis,partition of unity | Spline (mathematics),Topology,Mathematical optimization,Polynomial,Computational geometry,Subdivision,Triangulation (social science),Basis function,Piecewise,Mathematics,Point set triangulation | Journal |
Volume | Issue | ISSN |
26 | 2 | Computer Aided Geometric Design |
Citations | PageRank | References |
17 | 1.30 | 21 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Hendrik Speleers | 1 | 236 | 24.49 |
| Paul Dierckx | 2 | 96 | 12.28 |
| Stefan Vandewalle | 3 | 501 | 62.63 |