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Re: interpolation [message #78584 is a reply to message #2184]

Wed, 07 December 2011 14:25

Kenneth P. Bowman
Messages: 585
Registered: May 2000

Senior Member

In article < 12296280.447.1323289672656.JavaMail.geo-discussion-forums@yq q16 >,
Brian Wolven <brian.wolven@gmail.com> wrote:

> It does seem unlikely that one could *interpolate* and get values that were
> outside the bounds of the original data. ;)

With linear interpolation that is certainly true, but it can occur
with higher order schemes. Interpolation usually guarantees only
that the interpolating function passes through the known data points.

If you take the spline interpolation example in my book

http://csrp.tamu.edu/pdf/idl/sample_chapter.pdf

and compute the result at high resolution, you will see that
the spline function overshoots the tabulated points.

Cheers, Ken Bowman

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[Message index]

		Interpolation By: jun on Thu, 02 June 1994 10:44
		Re: Interpolation By: stl on Fri, 03 June 1994 01:14
		Re: Interpolation By: tarequeaziz on Mon, 14 April 2008 13:13
		Re: Interpolation By: Spon on Mon, 14 April 2008 11:44
		Re: Interpolation By: Spon on Mon, 14 April 2008 08:34
		Re: Interpolation By: tarequeaziz on Sat, 12 April 2008 17:56
		Re: Interpolation By: ben.bighair on Sat, 12 April 2008 15:26
		Re: Interpolation By: tarequeaziz on Sat, 12 April 2008 13:24
		Re: Interpolation By: ben.bighair on Sat, 12 April 2008 08:57
		Re: interpolation By: Yngvar Larsen on Thu, 08 December 2011 13:24
		Re: interpolation By: Brian Wolven on Thu, 08 December 2011 12:57
		Re: interpolation By: anil on Thu, 08 December 2011 04:15
		Re: interpolation By: anil on Thu, 08 December 2011 04:15
		Re: interpolation By: anil on Thu, 08 December 2011 04:15
		Re: interpolation By: Kenneth P. Bowman on Wed, 07 December 2011 14:25
		Re: interpolation By: Brian Wolven on Wed, 07 December 2011 12:27
		Re: interpolation By: David Fanning on Wed, 07 December 2011 12:13
		Re: interpolation By: Jeremy Bailin on Wed, 07 December 2011 12:07
		Re: interpolation By: anil on Wed, 07 December 2011 09:50
		Re: interpolation By: Russell[1] on Wed, 07 December 2011 08:42
		Re: interpolation By: anil on Wed, 07 December 2011 05:51
		Re: interpolation By: anil on Wed, 07 December 2011 05:48

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