|
Many types of radial basis functions have an additional free parameter, and as the parameter grows, these radial base functions will be flatness. We want to use these radial basis functions to create a function which could interpolate N points. In the case of only one radial basis function, when we solve the problem, although the coefficients λ of the expansion will diverge, the objective function will eventually approach to a Lagrange polynomial. In this paper, we will use the analogous method in [1] to explore the interpolation problem of hybrid radial basis functions and its properties.
|