Title: Fractals and Splines Post by: kronikel on October 04, 2011, 06:51:33 PM I came across this video a while back - http://www.youtube.com/watch?v=jEjZl2nqcAU
and learned some new interesting things, so I figured I'd share it here. (it may take a little while to get interesting) Since I've gotten into fractals my definition of fractal keeps getting more and more broad. And this made me see a new found relationship between fractals and lines / splines. This lead me to a new (or at least new to me) way of rendering 3d fractals. Title: Re: Fractals and Splines Post by: kram1032 on December 12, 2011, 11:16:34 PM Hmm...
Bezier Curves do have a defined general derivative. Are those derivatives plotable in a similar way by iteratively splitting the intervals? Because then you could probably plot, say, the derivative of a Koch Curve... Title: Re: Fractals and Splines Post by: lycium on December 12, 2011, 11:59:50 PM it's great to have you back, mark! :beer:
Title: Re: Fractals and Splines Post by: kram1032 on December 13, 2011, 12:54:31 AM Heh, yeah, it is for me too :)
Let's hope I find a connection to this forum as I had it before I paused the visits for quite some time... Lots of stuff has changed since I last visited. I'm now a physics student. :beer: - even though I never ever would drink that, heh Title: Re: Fractals and Splines Post by: cKleinhuis on December 13, 2011, 01:59:46 AM lycium is relatively calm, but has never been gone ;) |