Is there a software that finds an equation of a function?

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SpanInq
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Like in the title, is there a software that allows you to draw a curve or even better, input a picture and select a curve on it, in order to get the equation of that curve as a function? Would be glad for help, I need it for my mathematics exploration on minimizing surface area of a vase-like object.
 
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While the article is quite interesting one, it doesn't really say the name of that particular software...and I honestly doubt it could be downloaded just like that. Thank you for your help though, it is appreciated.