Need to spline, wondering if possible to do this in a "best fit" way.
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Let me elaborate a little on what I'm trying to figure out. Let's say I have a set of 100 points, and I wanted a smooth curve for them, but their position is quite erratic (they follow the same general direction however). I need to fit this to a curve, but fitting all the points to one polynomial would be meaningless. Instead what I would like to do is imitate what the spline function does, however the spline function interpolates between points, what I would like to do is find the 2nd or 3rd degree polynomial of best fit for say intervals of 10 points and connect them together as a piecewise function, but like spline it needs to be smooth, as I need to be able to take the derivative at any of the points. Is there a way to do this?
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