Behavioral Study of Various Radial Basis Functions for Approximation and Interpolation Purposes

摘要

Both approximation and interpolation are techniques commonly used in many scientific areas. Many approaches are depending on input data type, result purpose etc. Input data can be formed in a mesh or not (meshless/meshfree data).This contribution is oriented on meshless data approximation and interpolation using Radial Basis Functions (RBFs). Different RBFs behaves differently, but many of them have a shape parameter. This paper compares various RBFs concerning its shape parameters and provides some experimental results for each of the selected RBF.