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OBSOLETE SPLINES PACKAGE SYMBOL
SplineFit
As of Version 7.0, some of the functionality of the Splines Package is now built into the Mathematica kernel. 
generates a SplineFunction object of the specified type from the points 
.
Details
- To use
, you first need to load the Splines Package using 
. - A SplineFunction object is a function that parametrizes a curve specified by the points
, such that an argument of 0 corresponds to 
, 1 corresponds to 
, etc. - Supported types are Cubic, Bezier and CompositeBezier.
- A cubic spline is made of piecewise third-order polynomials, with
continuity, and interpolates each of the points it is created from. The second derivative of the spline at the endpoints is set to 0. - A Bézier spline interpolates only the endpoints. The other points control the spline, forming a convex hull. Given n points, a spline of degree
is created. - A composite Bézier spline is made up of a series of third-order Bézier curves with
continuity. It alternates interpolating points and control points. - In a composite Bézier spline generated from an even number of points the last two points are reversed so that the final point is interpolated and the next to last is a control point for the final segment; if the spline is generated from an odd number of points, then the final vertex is doubled.
- The points
are not restricted to two dimensions.
