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
Famous quotes containing the word definition:
“Was man made stupid to see his own stupidity?
Is God by definition indifferent, beyond us all?
Is the eternal truth man’s fighting soul
Wherein the Beast ravens in its own avidity?”
—Richard Eberhart (b. 1904)
“No man, not even a doctor, ever gives any other definition of what a nurse should be than this—”devoted and obedient.” This definition would do just as well for a porter. It might even do for a horse. It would not do for a policeman.”
—Florence Nightingale (1820–1910)
“It’s a rare parent who can see his or her child clearly and objectively. At a school board meeting I attended . . . the only definition of a gifted child on which everyone in the audience could agree was “mine.””
—Jane Adams (20th century)