Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4646259 | Applied Numerical Mathematics | 2008 | 11 Pages |
Abstract
In this paper we present a method to obtain an explicit surface on a polygonal domain D which approximates a Lagrangian data set and minimizes a certain “energy functional”. The minimization space is the C1-quadratic spline space constructed from an α-triangulation over D and its Powell–Sabin subtriangulation, i.e., we obtain a C1-polynomial with the minimal possible degree. A convergence result is established and some numerical and graphical examples are analyzed.
Related Topics
Physical Sciences and Engineering
Mathematics
Computational Mathematics