This page displays (currently) 276 cubic splines. Each has a closed circuit of fixed points, and was generated by the Catmull-Rom spline. For all of them except those in the column headed by "6", the Catmull-Rom functionwas modified by replacing the "6" in the calculation by the number shown at the head of its column.
The left column shows the configuration of fixed points used throughout the row. The points are visited in numeric order. Where the configuration shows two overlapping numbers, those points are in fact coincident.
If you right-click on one of these images, you may (depending on your browser) be able to view a larger version of it. A small selection of the more pleasing ones is here.
| Fixed points | -5 | -3 | -2 | -1.4 | -1 | -0.7 | -½ | 1 | 2 | 3 | 6 | 9 |
|---|
A few of the most pleasing splines (in my opinion)
The cubic spline toy itself
Its user manual
The index to these pages
