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The Frequency Structure of One-Dimensional Occluding Image Signals
February 2000 (vol. 22 no. 2)
pp. 200-206

Abstract—We present a theoretical investigation of the frequency structure of 1D occluding image signals. We show that image signal occlusion contains relevant information which is most easily extractable from its representation in the frequency domain. For instance, the occluding and occluded signal velocities may be identified as such and translucency phenomena may be understood in the terms of this theoretical investigation. In addition, it is found that the structure of occluding 1D signals is invariant under constant and linear models of signal velocity. This theoretical framework can be used to describe the exact frequency structure of non-Fourier motion and bridges the gap between such visual phenomena and their understanding in the frequency domain.

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Index Terms:
Occlusion, Fourier transforms, optical flow, non-Fourier motion.
Citation:
Steven S. Beauchemin, John L. Barron, "The Frequency Structure of One-Dimensional Occluding Image Signals," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 22, no. 2, pp. 200-206, Feb. 2000, doi:10.1109/34.825758
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