Psy Curve • Hacker News Board

Re: Psy Curve

#11

Post by Samuel_Michon » Fri, Jan 18, 2013, 5:04 AM UTC

ntumlin wrote: post #5

damian2000 wrote: post #2

Wonder how this was generated - surely not by hand? Is there a way of taking a set of splines or similar and creating equations from them, like this?

And is there a way to create other stuff like this? It would be neat to be able to draw some simple thing with your mouse on a canvas and then have it generate an equation that makes it.

Here are tons more 'person curves': http://www.wolframalpha.com/input/?i=person+curve

They can be created in Mathematica: http://mathematica.stackexchange.com/questions/17704/how-to-...

Re: Psy Curve

#12

Post by lubos » Fri, Jan 18, 2013, 5:05 AM UTC

PSY curve vs Ellen DeGeneres curve

http://www.wolframalpha.com/input/?i=PSY%20curve%20vs%20Elle...

Re: Psy Curve

#13

Post by jchavannes » Fri, Jan 18, 2013, 5:10 AM UTC

damian2000 wrote: post #2

Wonder how this was generated - surely not by hand? Is there a way of taking a set of splines or similar and creating equations from them, like this?

This seems like an image that could easily be created with the Pen Tool in Photoshop. Which, if I understand correctly, is a sequence of Bezier curves[1].

[1] http://en.wikipedia.org/wiki/B%C3%A9zier_curve

Re: Psy Curve

#14

Post by antoni » Fri, Jan 18, 2013, 5:17 AM UTC

lubos wrote: post #12

PSY curve vs Ellen DeGeneres curve http://www.wolframalpha.com/input/?i=PSY%20curve%20vs%20Elle...

PSY curve vs Ellen DeGeneres curve vs Batman curve http://www.wolframalpha.com/input/?i=PSY+curve+vs+Ellen+DeGe... Note: it's still 'parametric' but no longer 'person' (in Wolfram Common properties frame).

Re: Psy Curve

#15

Post by rel » Fri, Jan 18, 2013, 5:17 AM UTC

Here are all the "person curve" possibilities

http://www.wolframalpha.com/input/?i=person+curve&lk=2

Re: Psy Curve

#16

Post by wyck » Fri, Jan 18, 2013, 5:19 AM UTC

XaspR8d wrote: post #6

damian2000 wrote: post #2

Wonder how this was generated - surely not by hand? Is there a way of taking a set of splines or similar and creating equations from them, like this?

I don't think finding a formula in general would be hard; I'd imagine there's a pretty easy method akin to fourier or Taylor series for arbitrary parametric shapes. But doing so in a compact formula doesn't feel like a trivial problem.

Maybe have a look at this: http://demonstrations.wolfram.com/preview.html?draft/46249/0...

Which may be how they did it.