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Quadratic spline quasi-interpolants on Powell-Sabin partitions
Authors:Carla Manni  Paul Sablonnière
Affiliation:1. Dip. di Matematica, Università di Roma “Tor Vergata”, Via della Ricerca Scientifica, 00133, Roma, Italy
2. Centre de Mathématiques, INSA de Rennes, 20 avenue des Buttes de Co?smes, CS 14315, 35043, Rennes cédex, France
Abstract:In this paper we address the problem of constructing quasi-interpolants in the space of quadratic Powell-Sabin splines on nonuniform triangulations. Quasi-interpolants of optimal approximation order are proposed and numerical tests are presented. Dedicated to Prof. Mariano Gasca on the occasion of his 60th birthday.
Keywords:quasi-interpolation  quadratic splines  Powell-Sabin refinement  Bézier-Bernstein representation
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