What are other variants used for? What would a variant where each tangent of Catmull-Rom is replaced with a perpendicular tangent look like?
How do we define the tangent at the endpts? If we don't define the tangents there, then that means there are 28 DOF but only 26 equations, what do we do with the remaining 2?
How do you define a neighbor here? The point next and prev to the current one?
What is the optimal number of divisions/neighbors we should find in order to draw smooth lines?
How would we determine which computing points we are going to use for the calculation of tangents?