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polynomial fit with boundary conditions

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DF
DF on 16 Feb 2012
Edited: Matt J on 15 Oct 2013
I would like to make a polynomial fit for a vector, but imposing some boundary conditions: second derivative at the edges is zero. How can this be done?

Accepted Answer

John D'Errico
John D'Errico on 16 Feb 2012
Don't!
You are describing what appears to be a spline, but will be a high order polynomial, subject to constraints. This will invariably produce crapola.
Use a spline to do the job of a spline. If you can't write that yourself, then use code from the file exchange that does it for you.
  3 Comments
DF
DF on 17 Feb 2012
Well, I have no idea how to add boundary conditions to a spline fit in Matlab. The SLM tool seemed exactly what I was looking for, but I would like to use 4th and 5th order splines.

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