A radial basis function centered at 
is a radial function
whose value at 
depends only on the distance from 
to 
, so it has the form
 |
Linear combinations of radial basis functions centered at points 
are used for scattered-data interpolation
and the approximation of functions. Common choices for 
include the Gaussian
function 
,
the multiquadric 
,
and the thin plate spline 
.
