GEOSTATS: rradial basis functions
- Note that interpolation with Radial basis functions is essentially
the same as kriging, the "basis" function must satisfy
certain conditions, i.e., it must be a variogram or at
least a generalized covariance. Some examples don't look like
it because they are not zero at lag zero but for varigrams
that doesn't matter. See my paper in Sciences de La Terre
(1988), Interpolation with Postive Definite Functions and
a paper in Computers and Math. Applications on Cokriging
and Radial Basis Functions. For full citations see my website
The bottom line is that you must choose the radial basis
function, i.e., you must choose/model the variogram. For
small data sets this is a problem, otherwise you have to use
non-data information to make the selection. See one of my
papers on the use of cross-validation for the selection.
Donald E. Myers
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