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Bézier Curve by de Casteljau's Algorithm


	As 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 controls the proportion of the distance along an interpolating line. As varies between 0 and 1 the entire curve is generated.


	Contributed by: Bruce Atwood
	Show Initialization Code

For

control points,

, the Bézier curve can be constructed by the recurrence relation

where

is the linear interpolation between control points

and

. The recursion level

goes from 1 to

and

runs from 0 to

Contributed by: Bruce Atwood

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