This is documentation for Mathematica 7, which was
based on an earlier version of the Wolfram Language.

# BezierFunction

 BezierFunction[{pt1, pt2, ...}] represents a Bézier function for a curve defined by the control points pti. BezierFunction[array]represents a Bézier function for a surface or high-dimensional manifold.
• BezierFunction[...][u] gives the point on a Bézier curve corresponding to parameter u.
• BezierFunction[...][u, v, ...] gives the point on a general Bézier manifold corresponding to the parameters u, v, ....
• The embedding dimension for the curve represented by BezierFunction[{pt1, pt2, ...}] is given by the length of the lists pti.
• BezierFunction[array] can handle arrays of any depth, representing manifolds of any dimension.
• The dimension of the manifold represented by BezierFunction[array] is given by TensorRank[array]-1. The lengths of the lists that occur at the lowest level in array define the embedding dimension.
• The parameters u, v, ... by default run from 0 to 1 over the domain of the curve or other manifold.
• The following options can be given:
 SplineDegree Automatic degree of polynomials
Construct a Bézier curve using a list of control points:
Apply the function to find a point on the curve:
Plot the Bézier curve with the control points:
Single cubic Bézier surface patch:
Construct a Bézier curve using a list of control points:
 Out[2]=
Apply the function to find a point on the curve:
 Out[3]=
Plot the Bézier curve with the control points:
 Out[4]=

Single cubic Bézier surface patch:
 Out[2]=
 Out[3]=
New in 7