Minimal energy C-r-surfaces on uniform Powell-Sabin type meshes estimation of the smoothing parameters
In this paper we present a method to obtain a C-r-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. (c) 2007 IMACS. Published by Elsevier B.V. All rights reserved.
minimal energy smoothing delta(1)-type triangulation powell-sabin element variational spline