Quadratic Curves - I can't learn what I need

[wutanggrenad]

Hey guys, borrowed a couple books from the library on Trig/Calc and I am still unsure how to do what I need/if it is possible.

[IMG]http://i73.photobucket.com/albums/i230/wutanggrenade/quadraticcurve.jpg[/IMG]

Let's say we know x1,y1 and x2,y2 and the control point. Now How would I be able to figure out what x is where y lays, and vice versa, where y is where x lays.

example :

x1,y1 = 0,0
x2,y2 = 10,10
control point = 7,7

How would I figure out what y is at 2,3,4 and so on?

I'm only asking cause I have not seen this explained

[s0ul0r]

[url]http://en.wikipedia.org/wiki/Bézier_curve[/url]

Quadratic Bézier curves

A quadratic Bézier curve is the path traced by the function B(t), given points P0, P1, and P2,
[IMG]http://upload.wikimedia.org/math/2/d/5/2d5e5d58562d8ec2c35f16df98d2b974.png[/IMG]

[IMG]http://upload.wikimedia.org/wikipedia/commons/2/2d/Bezier_2_big.gif[/IMG]

Basically t is the progress ranging from 0 to 1 and you apply the formula to the x and y components of your points seperately.

[wutanggrenad]

funny I didn't pick that up on wiki, but it helped once pointed out

Thanks man

[yngndrw]

I thought you'd like to see this article, which shows a nice way of using shaders to draw curves:
[url]http://www.mdk.org.pl/2007/10/27/curvy-blues[/url]