Variational trivariate fitting using Worsey–Piper macro elements on tetrahedral partitions

M.A. Fortes, M. Pasadas, D. Sbibih, A. Serghini and A. Tijini

Mathematics and Computers in Simulation (MATCOM), 2011, vol. 81, issue 10, 2161-2173

Abstract: In this paper we present a method to obtain a trivariate spline constructed over the Worsey–Piper split corresponding to a tetrahedron. Such spline approximates a set of Lagrangian scattered data by minimizing an “energy functional” which also controls the smoothness of the spline. We give a convergence result and we show some graphical examples.

Keywords: Minimal energy; Worsey–Piper split; Variational spline; Approximation; Smoothing (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:81:y:2011:i:10:p:2161-2173

DOI: 10.1016/j.matcom.2011.04.001

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