SplineFit
2D/3D

• SplineFit[data, options] generates a SplineFunction object representing the data as a cubic spline.

• data is given as rectangular matrix of numbers, that is, a list of coordinates.
• For a 2D spline curve data is given as a list of 2D vectors; for a 3D spline data is a list of 3D vectors.
• SplineFit works with data of any dimensionality, not only 2D or 3D.
• The following options can be given:

• See also: ArcLength.

Further Examples

Load the Modeler2D package.

In[1]:=

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.

In[2]:=

Out[3]=

Out[4]=

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

In[5]:=

Out[5]=

Here is a spline with the ends closed upon themselves.

In[6]:=

Out[6]=

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

In[7]:=

Out[7]=

Here are all three splines shown together.

In[8]:=

Out[8]=

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

In[9]:=

Out[9]=

In[10]:=

Out[10]=

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

In[11]:=

Out[11]=

Out[12]=

In[13]:=