Quasi-interpolation projectors for box splines

Tom Lyche (1) , Carla Manni (2) , Paul Sablonnière (3)

1 CMA - Center of Mathematics for Applications [Oslo]
2 DIPMAT - Dipartimento di Matematica [Roma II]
3 IRMAR - Institut de Recherche Mathématique de Rennes

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

Mots clés: Box splines; Quasi-interpolation; Projectors

Domaines: Analyse numérique [math.NA]

Tom Lyche, Carla Manni, Paul Sablonnière. Quasi-interpolation projectors for box splines. Journal of Computational and Applied Mathematics, 2008, 221 (2), pp.416-429. ⟨10.1016/j.cam.2007.10.029⟩. ⟨hal-00384373⟩