BezierFunction
BezierFunction[{pt1, pt2, ...}] represents a Bézier function for a curve defined by the control points pti.
BezierFunction[array] represents a Bézier function for a surface or high-dimensional manifold.
Examples
Create and evaluate a Bézier function:
bf = BezierFunction[{{0, 0}, {1, 2}, {2, 0}}];
bf[0.5]
(* {1., 1.} *)Plot a Bézier curve:
ParametricPlot[bf[t], {t, 0, 1}]Please visit the official Wolfram Language Reference for more details.