Bounding Box - Bezier Curve

[necrovore]

I am trying to find out the bounding box of a bezier curve. I know that it can be done by getting all the points using de Casteljau's algorithm and then finding the minimum reactangle around the curve. But de Casteljau's algorithm will make my application too expensive, i feel. Is there anyother way i can get te bounding box of the curve aloung the axis?

Thank you.

[pritaeas]

Here's an SO thread with several examples and links. Perhaps it helps.

[necrovore]

I had seen that post. But the answer posted there requires taking using the de Casteljau's algorithm (which i am trying to avoid). The accepted answer (one by ypnos), i cant seem to comprehend what that formula means. http://upload.wikimedia.org/math/2/d/5/2d5e5d58562d8ec2c35f16df98d2b974.png

[ddanbe]

It is a parametric equation