Explain briefly De Casteljeau algorithm

Question

Explain briefly De Casteljeau algorithm.

Answer 1

The control points P0, P1, P2 and P3 are connected with line segment is known as control polygon, even although they are not actually a polygon but rather a polygonal curve. Each of them is then divided into the similar ratio t: 1 – t, giving increase to other points. Again, each every consecutive two are joined with line segments, which are subdivided and so on, till only one point is left. This is the place of our moving point of time. The trajectory of that point for times between 0 - 1 is the Bezier curve.