Cartesian (non parametric) form of Bezier curves

Question

Hi Guys,

I needed to find and use the coordinates of the intersection of a cubic Bezier and a straight line. The trouble is that I cannot find a non-parametric representation of a Bezier curve which I need for solving with the line.

I do not want to resort to a Newton-Raphson equivalent on the Bezier parametric equation (which can be found here)

Answer 1

Looks like the answer for this SO question might help you out:

http://stackoverflow.com/questions/427796/approximating-nonparametric-cubic-bezier