2
$\begingroup$

Possible Duplicate:
Is there an explicit form for cubic Bézier curves?

I want to calculate Y for any given X of a bezier to help me chart a graph.

X represents time and Y represents distance from an object.

I got this formula for cubic beziers:

$$X(t) = (1-t)^3 X_0 + 3(1-t)^2 t X_1 + 3(1-t) t^2 X_2 + t^3 X_3$$

$$Y(t) = (1-t)^3 Y_0 + 3(1-t)^2 t Y_1 + 3(1-t) t^2 Y_2 + t^3 Y_3$$

I need to know what $t$ is for $X$ to I can work out what $Y$ would be for $t$... right?

So I need to rearrange this formula with $t$ on the left, I think:

$$X(t) = (1-t)^3 X_0 + 3(1-t)^2 t X_1 + 3(1-t) t^2 X_2 + t^3 X_3$$

Ummmm... is this right?

  • 0
    I think that normally you'd start with t, find x and find y. I am not sure why you are starting with x?2012-09-06

1 Answers 1