• 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.
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.