Curve fitting - problem

I have 10000 data sets of (x,y) for which i need to fit a curve. Once I could fit a curve, i need to get points on the curve with an uniform interval. Then I would proceed to patch..and then to stl for my ultimate objective. Right now i'm struck with the curve fitting. Kindly help me out.

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There are an infinite number of ways to construct a curve through 10000 point pairs. You will not be able to get a meaningful curve fit unless you can put restrictions on the acceptable formula for the curve.
Thanks Walter, really makes sense. I couldn`t figure out on how to apply a restriction for this irregular kinda profile. Any suggestions?

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