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SplineFunction

As of Version 7.0, some of the functionality of the Splines Package is now built into the Mathematica kernel.

represents a spline function created by the SplineFit function parametrizing a curve with the parameter in the specified domain. When given a parameter value as an argument it returns the corresponding point on the curve.
  • The object generated with SplineFit is parametrized such that a parameter value of 0 corresponds to , 1 corresponds to , etc.
Fit a Bézier spline to a set of four points:
The endpoints of the correspond to the original points:
Needs["Splines`"]
Fit a Bézier spline to a set of four points:
In[2]:=
Click for copyable input
Out[2]=
The endpoints of the correspond to the original points:
In[3]:=
Click for copyable input
Out[3]=