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MathGroup Archive 2005

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Re: Spline

  • To: mathgroup at smc.vnet.net
  • Subject: [mg58307] Re: Spline
  • From: Bill Rowe <readnewsciv at earthlink.net>
  • Date: Sun, 26 Jun 2005 23:13:09 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

On 6/26/05 at 1:33 AM, davidannetts at aapt.net.au (David Annetts)
wrote:

>If you know the values at the endpoints, then tell the spline
>routine. There's no way of extending the spline, since it is only
>defined (in the original) on [.1, .9].

Not true. For a given set of points a natural cubic spline is created by setting the second derivative to 0 at the end points and requiring continuity of both the first and second derivative at all points. So, past the end points, the curve will be a line (continuous first derivative, second and higher derivatives = 0)

However, it is true the package SplineFit will not extend the spline past the end points in the original data set.
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