Abstract: Aspects of the generation of new robotic motion trajectories are described. In one embodiment, a new robot motion trajectory may be generated by gathering demonstrated motion trajectories, adapting the demonstrated motion trajectories into robot-reachable motion trajectories based on a joint space of a robot model, for example, and generating motion harmonics with reference to the motion trajectories. Further, one or more constraints may be specified for a new goal. The weights of the motion harmonics may then be searched to identify or generate a new motion trajectory for a robot, where the new motion minimizes discrepancy from the demonstrated motion trajectories and error due to the at least one constraint. In the new motion trajectory, the degree to which the constraints are satisfied may be tuned using a weight. According to the embodiments, new motion variants may be generated without the need to learn or review new demonstrated trajectories.