I have a question on an exam paper that I cannot find the answer anywhere to; I am assuming it is to do with expressing a Bezier curve in Bernstein polynomials, but other than that I am lost. There is a mention of it Bezier Polynomial Form here but it does not help me in the slightest.
The question is:
Using the fact that ((1-t) + t) = 1 show how an arbitrary quadratic Bezier curve
r(t) = (1-2)²r0 + 2t(1-t)r1 + t²r2
may be expressed in the cubic Bezier basis comprising the 4 polynomials
{(1-t)³, 3t(1-t)², 3t²(1-t), t³}
Any help would be greatly appreciated.
