Quasi-interpolation projectors for box splines

Authors:
Tom Lyche;Carla Manni;Paul Sablonnière
Affiliations:
CMA and Institute of Informatics, University of Oslo, PO Box 1053, Blindern, 0316 Oslo, Norway;Universití di Roma "Tor Vergata", Dipartimento di Matematica, Via della Ricerca Scientifica, 00133 Roma, Italy;INSA de Rennes, 20 av. des Buttes de Coesmes, CS 14315, 35043 Rennes Cedex, France
Venue:
Journal of Computational and Applied Mathematics
Year:
2008

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Abstract

We consider box spline quasi-interpolants based on local linear functionals of point evaluator and integral type. The approximations are easy to compute, and reproduce the whole spline space in question.