Get a function (equation) from data points?

Asked Jan 26 '15 at 23:29

Active Jan 26 '15 at 23:29

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Is there a way to get a function (equation) from data points?

For example, we have this famous Google's 'Batman' function: Batman Graph

2*sqrt(-abs(abs(x)-1)abs(3-abs(x))/((abs(x)-1)(3-abs(x))))(1+abs(abs(x)-3)/(abs(x)-3))sqrt(1-(x/7)^2)+(5+0.97(abs(x-.5)+abs(x+.5))-3(abs(x-.75)+abs(x+.75)))(1+abs(1-abs(x))/(1-abs(x))),-3sqrt(1-(x/7)^2)sqrt(abs(abs(x)-4)/(abs(x)-4)),abs(x/2)-0.0913722(x^2)-3+sqrt(1-(abs(abs(x)-2)-1)^2),(2.71052+(1.5-.5abs(x))-1.35526sqrt(4-(abs(x)-1)^2))sqrt(abs(abs(x)-1)/(abs(x)-1))+0.9

^ How can I find this exact equation by only knowing the coordinates?

asked Jan 26 '15 at 23:29

Arthur

2

You can't. Given a finite number of points, there are always an infinite number of functions containing all these points. – Gregor de Cillia Jan 26 '15 at 23:36
2

You might be interested in Michael Trott's blog post indicating how he automated the procedure to find a curve to mimic just about anything you want. – Mark McClure Jan 27 '15 at 00:05
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This question is closely related, except it doesn't restrict to finding the curve from points. – MvG Jan 27 '15 at 10:30

Get a function (equation) from data points?

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