Hierarchical Powell-Sabin splines are C1-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.

Speleers, H., Dierckx, P., Vandewalle, S. (2009). Quasi-hierarchical Powell-Sabin B-splines. COMPUTER AIDED GEOMETRIC DESIGN, 26(2), 174-191 [10.1016/j.cagd.2008.05.001].

Quasi-hierarchical Powell-Sabin B-splines

Speleers H.;
2009-02-01

Abstract

Hierarchical Powell-Sabin splines are C1-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.
feb-2009
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MAT/08 - ANALISI NUMERICA
English
Con Impact Factor ISI
Powell-Sabin splines; Quasi-hierarchical splines; Normalized basis; Adaptive refinement
Speleers, H., Dierckx, P., Vandewalle, S. (2009). Quasi-hierarchical Powell-Sabin B-splines. COMPUTER AIDED GEOMETRIC DESIGN, 26(2), 174-191 [10.1016/j.cagd.2008.05.001].
Speleers, H; Dierckx, P; Vandewalle, S
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/215114
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