polynomial fit with boundary conditions

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DF 2012-2-16

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编辑： Matt J 2013-10-15

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?

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John D'Errico 2012-2-16

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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.

http://www.mathworks.com/matlabcentral/fileexchange/24443-slm-shape-language-modeling

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Bjorn Gustavsson 2012-2-17

Mathworks spline toolbox has tools for splines of arbitrary order. (I thought John's SLM-tool had too.)

DF 2012-2-17

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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