Given a set of n + 1 control points P_0, P_1, ..., P_n, the corresponding Bézier curve (or Bernstein-Bézier curve) is given by C(t) = sum_(i = 0)^n P_i B_(i, n)(t), where B_(i, n)(t) is a Bernstein polynomial and t element [0, 1]. Bézier splines are implemented in the Wolfram Language as BezierCurve[pts].
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