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Affine Invariant Detection of Periodic Motion
S. M. Seitz and C. R. Dyer,
Proc. Computer Vision and Pattern Recognition Conf., 1994, 970-975.
Current approaches for detecting periodic motion assume a stationary camera and place limits on an object's motion. These approaches rely on the assumption that a periodic motion projects to a set of periodic image curves, an assumption that is invalid in general. Using affine-invariance, we derive necessary and sufficient conditions for an image sequence to be the projection of a periodic motion. No restrictions are placed on either the motion of the camera or the object. Our algorithm is shown to be provably-correct for noise-free data and is extended to be robust with respect to occlusions and noise. The extended algorithm is evaluated with real and synthetic image sequences.