Ok, I've pictured my tire (attachment 1 - DSC02097.jpg). Then I cut a fragment of it and put points on it (attachment 2 - unloaded.JPG).
I've got. [0, 0], [11, 1], [24, 5], [36, 12], [50, 27], [61, 44], [67, 59] (I used the grid in gimp). What interpolation should I use to get the formula for...