Original article: Variational trivariate fitting using Worsey-Piper macro elements on tetrahedral partitions

Authors:
M. A. Fortes;M. Pasadas;D. Sbibih;A. Serghini;A. Tijini
Affiliations:
Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Granada, Campus Universitario de Fuentenueva s/n, 18071 Granada, Spain;Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Granada, Campus Universitario de Fuentenueva s/n, 18071 Granada, Spain;University Mohammed I, FSO, MATSI Laboratory, Oujda, Morocco;University Mohammed I, FSO, MATSI Laboratory, Oujda, Morocco;University Mohammed I, FSO, MATSI Laboratory, Oujda, Morocco
Venue:
Mathematics and Computers in Simulation
Year:
2011

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Abstract

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.