+ The Graph2d makes use of
Catmull-Rom spline interpolation.
+ The user can configure these per group, or globally. In this example we show all 4 possiblities. The differences are in the parametrization of
+ the curves. The options are
uniform,
chordal and
centripetal. Alternatively you can disable the Catmull-Rom interpolation and
+ a linear interpolation will be used. The
centripetal parametrization produces the best result (no self intersection, yet follows the line closely) and is therefore the default setting.
+
+ For both the
centripetal and
chordal parametrization, the distances between the points have to be calculated and this makes these methods computationally intensive
+ if there are very many points. The
uniform parametrization still has to do transformations, though it does not have to calculate the distance between point. Finally, the
+ linear interpolation is the fastest method. For more on the Catmull-Rom method,
C. Yuksel et al. have an interesting paper titled ″On the parametrization of Catmull-Rom Curves″.
+