Bezier Curves

[mogn]

It is interresting to note that bezier curves are easy to generate in TG2.
In http://en.wikipedia.org/wiki/B%C3%A9zier_curve
a bezier curve is defined as a linear interpolation between two bezier curves of lesser degree.
I.E a bezier interpolation can be constructed by tree of mix functions, with a common controller (0..1).

[dhavalmistry]

those equations scare me.....lol.....

[rcallicotte]

@mogn - Thanks.      <-- (me pretending I understand)

[mogn]

Thanks, but I don't know yet how to use it. The output from the tree is: x(t) and y(x(t)) value, but what we really want
is the output to be: x=t and y(t)

[cyphyr]

Great work. If this can be made to work how would you envisage using it in TG?
Richard

[Harvey Birdman]

I was out riding my bike a couple of days ago and I had an idea for a Bezier application in TG2.... and now I can't remember what it was. Gotta get those endorphins flowing again and it'll come back to me.

[Mr_Lamppost]

Thanks for that, the graphics and explanation are very clear The math less so, It's a long time since I looked at any "Nuts and Bolts" math like that.  I remember reading how to do this in one of the early versions of POV-Ray (Beziers are now built in), but the version I am thinking of had function capability similar to that which we now have in TG2.  No promises but "I'm in the middle of 15 things all of them annoying". A virtual biscuit for anybody who can attribute that quote   I'll see if I can dig it up.

[red_planet]

babylon 5 - Ivanova. .. Episode - Midnight on the Firing Line written by J. Michael Straczynski.

ginger nut please !

rgds

Chris

[Mr_Lamppost]

OK well done but are you sure you wouldn't prefer a Garibaldi?