Spatial and spectral analysis of occluded motions

We present a spatio-temporal analysis of motion at occluding boundaries. The main result is an analytical description of the motions and the distortions that occur at the occluding boundary. Based on this result we analyze occluding motions in the Fourier domain and show that the distortion term has an hyperbolic decay independent of the shape of the occluding boundary. Moreover, we derive the exact expression for the distortion term for the case of straight boundaries. The results are illustrated by using simulations with synthetic movies.