BSplineFunction

BSplineFunction[{pt1, pt2, ...}] represents a B-spline function for a curve defined by the control points pti.

BSplineFunction[array] represents a B-spline function for a surface or high-dimensional manifold.

Examples

Create and evaluate a B-spline function:

bf = BSplineFunction[{{0, 0}, {1, 2}, {2, 0}}];
bf[0.5]

Plot the curve:

ParametricPlot[bf[t], {t, 0, 1}]

Please visit the official Wolfram Language Reference for more details.