Definition
A Bezier curve B (of degree n) can be written in Bernstein form as follows
- ,
where b is a Bernstein basis polynomial
- .
The curve at point t0 can be evaluated with the recurrence relation
Then, the evaluation of at point can be evaluated in steps of the algorithm. The result is given by :
Moreover, the Bézier curve can be split at point into two curves with respective control points :
Read more about this topic: De Casteljau's Algorithm
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