A Family of Smooth Quasi-interpolants Defined Over Powell–Sabin Triangulations
نویسندگان
چکیده
منابع مشابه
A family of smooth quasi-interpolants defined over Powell-Sabin triangulations
We investigate the construction of local quasi-interpolation schemes for a family of bivariate spline functions with smoothness r ≥ 1 and polynomial degree 3r−1. These splines are defined on triangulations with Powell-Sabin refinement, and they can be represented in terms of locally supported basis functions which form a convex partition of unity. Using the blossoming technique, we first derive...
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We construct a suitable B-spline representation for a family of bivariate spline functions with smoothness r ≥ 1 and polynomial degree 3r − 1. They are defined on a triangulation with PowellSabin refinement. The basis functions have a local support, they are nonnegative and they form a partition of unity. The construction involves the determination of triangles that must contain a specific set ...
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ژورنال
عنوان ژورنال: Constructive Approximation
سال: 2014
ISSN: 0176-4276,1432-0940
DOI: 10.1007/s00365-014-9248-0