Graph2d | Interpolation

+ 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″. +