Many times it is necessary to move a follower to a certain point and immediately move it in the opposite direction. If modified-sine, Cycloidal or one of the other profiles is used, an incontinuity in the acceleration curve will result. This will cause the jerk to be infinite and cause noise and unneeded wear in the system.
The Rise-Return profile solves this problem. Here the segment is divided in half with the rise in the first half and the return in the last. At the mid-point, the velocity, acceleration, and jerk are matched. This provides a very smooth motion.