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Bézier Curve by de Casteljau's Algorithm

​
r
1
2
3
t
As
r
changes from 1 to 3 a sequence of linear interpolations shows how to construct a point on the cubic Bézier curve when there are four control points. The parameter
t
controls the proportion of the distance along an interpolating line. As
t
varies between 0 and 1 the entire curve is generated.
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