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On 13/01/2004 at 03:48, xxxxxxxx wrote:
I have a Beziercurve-segment that I want to use to time an animation. This is just for getting the concept of TimeCurves.
The Beziercurve-segment is of the format:
p(t) = (1-t)^3*a+3*t(1-t)^2*b+2*t^2(1-t)*c+t^3*d
with a, b, c and d being the two knot points and the two tangents.
I evaluate this function in 2D space for the x, and y coordinates seperately, with t ranging from 0 to 1, to get the curve points.
But if I want to use it for timing a linear animation I will have to solve the equation . The problem is, how? Solving cubic equations isn't trivial, I found out by searching the net. But maybe there is a aproximating algorithm to do this. How does Cinema this internally?
How do I get the y coordinate of p by knowing x ?
Thanx in advance,