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Old 16th May 2009, 17:11   #9  |  Link
MfA
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Join Date: Mar 2002
Posts: 1,075
Not really, but then I have to say I don't really see any reason to look for some TRUE purely mathematical way of divining interpolation kernels ... it's an exercise in futility. The optimal kernel is almost always signal dependent and of course metric dependent (ie. a matter of taste). With the exception of some trivial examples such as the optimal interpolation of low order Taylor components (which can be done with 0 error).

The existing functions are given more worth than they are due really, you could play around with the coefficients and get something better or worse or the same looking ... in linear interpolators some things almost always make sense (symmetry, zero weights for integer positions not 0 and looking mostly like a low order Lanczos kernel) but everything else is pretty arbitrary.

Last edited by MfA; 16th May 2009 at 17:15.
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