Abstract
In this paper we develop a general local method to define Hermite interpolants of prescribed order r≥1 and global class Cs on the three direction mesh of the real plane. They are defined from Powell–Sabin and Hsieh–Clough–Tocher finite elements in such a way that the interpolation operators have fundamental functions with compact support and reproduce a given space Pm of polynomials included in the spline space.
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