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BezierFunction
BUILT-IN MATHEMATICA SYMBOL
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:
-
SplineDegree Automatic degree of polynomials
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