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Sliding scale interpolation [message #20281] Tue, 06 June 2000 00:00 Go to previous message
Paul van Delst is currently offline  Paul van Delst
Messages: 364
Registered: March 1997
Senior Member
Hi there,

I want to do (what I call) "sliding scale" linear interpolation and am
trolling for hints on how to do it.

I have some data (complex refractive index of water) which is mostly
smooth but punctuated with some higher resolution absorption features.
What I would like to do would be to linearly interpolate the data with a
relatively large x-spacing in the smooth, low resolution regions but
increase the data spacing in the high resolution regions. The second
derivative of the function provides definitions for those regions (e.g.
for smooth regions d2y/dx2 ~ 0).

I was wondering if anyone has already done or seen info on something
like this? I would like to somehow dampen the ability of the
interpolation spacing change so that it doesn't change *only* in
response to the second derivative (which is rather noisy in places).

Any hints, comments, suggestions appreciated.

paulv
--
Paul van Delst Ph: (301) 763-8000 x7274
CIMSS @ NOAA/NCEP Fax: (301) 763-8545
Rm.202, 5200 Auth Rd. Email: pvandelst@ncep.noaa.gov
Camp Springs MD 20746
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