SplineFunction - Wolfram Mathematica 7 Documentation

THIS IS DOCUMENTATION FOR AN OBSOLETE PRODUCT.
SEE THE DOCUMENTATION CENTER FOR THE LATEST INFORMATION.

Obsolete Splines Package Symbol

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

SplineFunction[type, domain, internal]
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.

MORE INFORMATION

To use SplineFunction, you first need to load the Splines Package using Needs["Splines`"].

The SplineFunction object generated with SplineFit[{pt₁, pt₂, ...}, type] is parametrized such that a parameter value of 0 corresponds to pt₁, 1 corresponds to pt₂, etc.

Supported types are Cubic, Bezier and CompositeBezier.

EXAMPLES

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Basic Examples (1)

Fit a Bézier spline to a set of four points:

The endpoints of the SplineFunction correspond to the original points:

Needs["Splines`"]

Fit a Bézier spline to a set of four points:

In[2]:=

Out[2]=

The endpoints of the SplineFunction correspond to the original points:

In[3]:=

Out[3]=