Centripetal Catmull–Rom spline

Centripetal Catmull-Rom splines are a type of curve used in computers to make smooth paths. The way it works is this - imagine you have a rubber tubing and a handful of pins. The pins would be the control points for the spline. You then take the rubber tubing and run it through the pins so that it gets bent according to how the pins are placed. The rubber tubing starts at one pin and ends at another and takes the shape of a curve as it goes from these two points. This curved path is called a centripetal Catmull-Rom spline. It is important for computer games and animation because it helps create smooth paths for objects to follow.