Periodic and Cyclic Motion Analysis Periodic and Cyclic Motion Analysis Steve Seitz , Chuck Dyer Many real-life motions are periodic in some frame of reference. We have developed an approach for determining if an image sequence could have been produced by an object whose motion is periodic in some reference frame. Unlike all previous attempts to determine periodicity information, our approach allows the camera to move during filming. For more information on this work, click here .
Ramps correspond to moments in time where the turntable was momentarily slowed.
The period trace is shown superimposed on the error surface from which it was recovered. Real repeating motions tend not to be perfectly even, i.e., the period varies slightly from one cycle to the next, because of physically important changes in the scene. A generalization of period is defined for cyclic motions that makes periodic variation explicit. This representation, called the period trace , is compact and purely temporal, describing the evolution of an object or scene without reference to spatial quantities such as position or velocity. By delimiting cycles and identifying correspondences across cycles, the period trace provides a means of temporally parsing a cyclic motion.