Bézier curve
A Bézier curve is also a polynomial curve definable using a recursion from lower degree curves of the same class and encoded in terms of control points, but a key difference is that all terms in the recursion for a Bézier curve segment have the same domain of definition (usually formula_89) whereas the supports of the two terms in the B-spline recursion are different (the outermost subintervals are not common). This means a Bézier curve of degree formula_4 given by formula_91 control points consists of about formula_92 mostly independent segments, whereas the B-spline with the same parameters smoothly transitions from subinterval to subinterval. To get something comparable from a Bézier curve, one would need to impose a smoothness condition on transitions between segments, resulting in some manner of Bézier spline (for which many control points would be determined by the smoothness requirement).