Creating an Equation from Coordinates to "Save" a Curve

[jjj888]

I was wondering if anyone had a good method for creating an equation from a set of coordinates. Let's say I have a vase (hourglass shaped). I have x,y coordinates that map the outline of the shape to about a 0.05" tolerance. Is there some mathmatical process that I can use to, in effect "save" this curve in an equation. I tried regression, but the shape isn't exact and I am aware that there could be many equations that could potentialy follow those points.

There must be some way to do it.

Thanks

 

[mathman]

Have you looked at B-splines? Look up "B spline surfaces" with Google or any search engine.

 

[jjj888]

Thanks for the suggestion. I just discovered Bezier curves this weekend. I think they'll work for my purpose, although I'll keep the B splines in mind.

Thanks