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Closed
2D/3D

Closed is a setting for the EndConditions option for SplineFit that specifies that the slope and curvature of the spline at the two ends will be equal.

• To actually close the spline upon itself, the EndConditions->Closed option must be given and the last data point given to SplineFit must be identical to the first.
• The alternatives to Closed are
Natural 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.

The spline is a 2D parametric function, and can be plotted as such.

Here is a spline with the ends closed upon themselves.

Here is a spline with specific direction vectors at the ends.

Here are all three splines shown together.

Here is a SplineFunction with values given for the independent variable at each knot point.

Here is the arc length of the spline, also expressed as a function of the independent variable.


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