The computed interpolation process is then used to insert many new values in between these key points to give a "smoother" result.
This is extended to the forming of three-dimensional curves, shapes and complex, dynamic artistic patterns such as used in laser light shows.
In addition to position, the speed or velocity, as well as accelerations along a path, can be calculated to mimic real-life motion dynamics.
Defining the motion of key strands of hair, spread around an animal, can be made into full fur.
Algorithms such as the Kochanek–Bartels spline provide additional adjustment parameters which allow customizing the in-between behavior to suit a wide variety of situations.