Natural 2D/3D• Natural is a setting for the EndConditions option for SplineFit that specifies that the curvature of the spline will be zero at the ends. • The alternatives to Natural are Closed or a list of two direction vectors. • See also: SplineFunction. Further Examples Load the Modeler2D package. Create a SplineFunction representing the path between a sequence of 2D points, and evaluate it halfway between the first and second points. Each end of the spline will have zero curvature.
Out[3]= | ![](/applications/mechsystems/FunctionIndex/HTMLImages/Natural.en/Natural.en_3.gif) |
Out[4]= | ![](/applications/mechsystems/FunctionIndex/HTMLImages/Natural.en/Natural.en_4.gif) |
The spline is a 2D parametric function, and can be plotted as such.
Out[5]= | ![](/applications/mechsystems/FunctionIndex/HTMLImages/Natural.en/Natural.en_7.gif) |
Here is a spline with the ends closed upon themselves.
Out[6]= | ![](/applications/mechsystems/FunctionIndex/HTMLImages/Natural.en/Natural.en_9.gif) |
Here is a spline with specific direction vectors at the ends.
Out[7]= | ![](/applications/mechsystems/FunctionIndex/HTMLImages/Natural.en/Natural.en_11.gif) |
Here are all three splines shown together.
Out[8]= | ![](/applications/mechsystems/FunctionIndex/HTMLImages/Natural.en/Natural.en_14.gif) |
Here is a SplineFunction with values given for the independent variable at each knot point.
Out[9]= | ![](/applications/mechsystems/FunctionIndex/HTMLImages/Natural.en/Natural.en_16.gif) |
Out[10]= | ![](/applications/mechsystems/FunctionIndex/HTMLImages/Natural.en/Natural.en_18.gif) |
Here is the arc length of the spline, also expressed as a function of the independent variable.
Out[11]= | ![](/applications/mechsystems/FunctionIndex/HTMLImages/Natural.en/Natural.en_20.gif) |
Out[12]= | ![](/applications/mechsystems/FunctionIndex/HTMLImages/Natural.en/Natural.en_21.gif) |
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