# On using Radial Basis Functions to approximate nonlinear data set

I have a two dimensional function represented by 3 data set

$f_i(\omega_i,\beta_i)=\psi_i$ such that $i \in [1,N]$

How can I do the following:

• First interpolate to larger data points using Radial Basis Function but want to increase the interpolating points such $g_k \equiv f_i$ with $k \in [1,M] ; M > N$
• Approximate $g$ using Radial Basis Functions or Similar algorithm for reconstructing the function.
• and what is your question? – fang Feb 26 '17 at 5:44
• @fang Read the question – Sam Gomari Mar 1 '17 at 15:51