De Casteljeau algorithm

Question

Describe the De Casteljeau algorithm.

Answer 1

The control points P0, P1, P2 and P3 are joined with the line segment termed as control polygon, even although they are not really a polygon however instead a polygonal curve. Each of them is then divided to the same ratio t: 1 – t, giving rise to the other points. Again, each consecutive two are joined with line segments that are subdivided and so forth, until only one point is left. This is the position of our moving point of time t. The trajectory of that point for times between 0 and 1 is termed the Bezier curve.