Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1140549 | Mathematics and Computers in Simulation | 2011 | 11 Pages |
Abstract
Let D⊂R2 be a polygonal domain, H be a subdomain of D and f∈C1(D¯−H∘). In this paper we propose a method to reconstruct f over the whole D¯ using a technique based on the minimization of an energy functional J. More precisely, we construct a new C1-Powell–Sabin spline function f∗ over D¯ that approximates f outside H, and fills the hole of f inside H . The resulting filling patch strongly depends on the values of two smoothing parameters involved in the functional J. We give a criteria to select optimum values of the parameters and we present some graphical and numerical examples.
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
M.A. Fortes, P. González, M. Pasadas, M.L. Rodríguez,