Minimal energy Cr-surfaces on uniform Powell-Sabin type meshes

D. Barrera, M.A. Fortes, P. González and M. Pasadas

Mathematics and Computers in Simulation (MATCOM), 2008, vol. 77, issue 2, 161-169

Abstract: In this paper we present a method to obtain a Cr-surface (r≥1) on a polygonal domain which approximates a Lagrange data set and minimizes an “energy functional”. The minimization space is formed by bivariate spline functions constructed on a uniform Powell-Sabin type triangulation of the domain. We prove a convergence result and we present a method for the estimation of the smoothing parameters involved in the functional. We finish with some numerical and graphical examples.

Keywords: Δ1-type triangulation; Powell-Sabin element; Variational spline; Minimal energy; Smoothing (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:77:y:2008:i:2:p:161-169

DOI: 10.1016/j.matcom.2007.08.020

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