A normalized basis for condensed C1 Powell–Sabin-12 splines
Computer Aided Geometric Design(2015)
摘要
The purpose of this article is the construction of a normalized basis for a quadratic condensed Powell–Sabin-12 macro-element space introduced by Alfeld et al. (2010). The basis functions have a local support, they are nonnegative, and they form a partition of unity. The construction of this basis is adopted from Dierckx (1997) and Speleers (2010a), and is based on the determination of a set of triangles that must contain a specific set of points. The proposed basis can only be constructed on triangulations with a maximal angle less than π2.
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关键词
B-spline,Powell–Sabin-12 triangulation,Blossoming,Marsden's identity,Quasi-interpolation
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