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

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Listed:
  • Fortes, M.A.
  • Pasadas, M.
  • Sbibih, D.
  • Serghini, A.
  • Tijini, A.

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.

Suggested Citation

  • Fortes, M.A. & Pasadas, M. & Sbibih, D. & Serghini, A. & Tijini, A., 2011. "Variational trivariate fitting using Worsey–Piper macro elements on tetrahedral partitions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(10), pages 2161-2173.
    • Handle: RePEc:eee:matcom:v:81:y:2011:i:10:p:2161-2173
    DOI: 10.1016/j.matcom.2011.04.001
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    References listed on IDEAS

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    1. Barrera, D. & Fortes, M.A. & González, P. & Pasadas, M., 2008. "Minimal energy Cr-surfaces on uniform Powell-Sabin type meshes," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 77(2), pages 161-169.
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