BezierFunction

BezierFunction[{pt1,pt2,}]
represents a Bézier function for a curve defined by the control points .

BezierFunction[array]
represents a Bézier function for a surface or high-dimensional manifold.

Details and OptionsDetails and Options

  • 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 .
  • 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 ArrayDepth[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:
  • SplineDegreeAutomaticdegree of polynomials

ExamplesExamplesopen allclose all

Basic Examples  (2)Basic Examples  (2)

Construct a Bézier curve using a list of control points:

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Apply the function to find a point on the curve:

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Plot the Bézier curve with the control points:

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Single cubic Bézier surface patch:

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Introduced in 2008
(7.0)