Authors : Terhemen Aboiyar and Samuel T. Swem
Abstract: In this study, researchers describe and implement a parameter free adaptive algorithm for radial basis function interpolation of real valued bump functions. The method is based on thin plate splines which are known for their good approximation properties. Interpolation points are added and coarsened based on residuals computed on a finer discretization. Numerical examples in one dimension are presented to show the effectiveness of the method.
Terhemen Aboiyar and Samuel T. Swem, 2010. A Parameter-Free Adaptive Method for Radial Basis Function Interpolation of Bump Functions. Journal of Modern Mathematics and Statistics, 4: 84-88.