Simple Sim to show how Generalized Bezier Curves works.
I had this particular topic for my Computer Graphics course. So, to better understand how this interpolation method works, I made this sketch.
The Berstein Polynomial and a given set of (n+1) control points together form the [Bezier Curve(https://en.wikipedia.org/wiki/B%C3%A9zier_curve)]. It is built using the Binomial Expansion of (t + (1-t))^n, which is used as recursive linear interpolation between different levels of control point sets.