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Interpolation vs. SplineFit

• To: mathgroup at smc.vnet.net
• Subject: [mg21889] Interpolation vs. SplineFit
• From: Matt_Johnson at autolivasp.com
• Date: Wed, 2 Feb 2000 22:54:45 -0500 (EST)
• Sender: owner-wri-mathgroup at wolfram.com

Hello-

What is the difference between a Cubic SplineFit and Interpolation with
InterpolationOrder->3?  In the documentation, Interpolation works by fitting
polynomials of the specified order over the data.  This is also the concept
behind SplineFit.  When I have compared the two functions, the Interpolation
function creates a "smoother" plot, however, it has some undesirable ripples.
SplineFit more accurately interpolates the physical realities of the data, but
cannot handle any data points outside the region of the original data set.  I
would like to use Interpolation so that I can extrapolate beyond the original
data range (carefully, of course).

Mostly, I'm interested in the differences in how SplineFit and Interpolation
create functions over the data.

Thanks

Matt Johnson