• ← BezierCurve

BezierFunction

WMA link

BezierFunction[{$pt_1$, $pt_2$, ...}]

returns a Bézier function for the curve defined by points $pt_i$.
The embedding dimension for the curve represented by BezierFunction[{$pt_1$,$pt_2$,...}] is given by the length of the lists $pt_i$.

• • f = BezierFunction[{{0, 0}, {1, 1}, {2, 0}, {3, 2}}];

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• • f[.5]

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Plotting the Bézier Function accoss a Bézier curve:

• • Module[{p={{0, 0},{1, 1},{2, -1},{4, 0}}}, Graphics[{BezierCurve[p], Red, Point[Table[BezierFunction[p][x], {x, 0, 1, 0.1}]]}]]