Linear Filtering in Image Sequences
It is shown that linear and shift-invariant filters, acting on time and space simultaneously, can discriminate between image regions moving uniformly with different velocities, irrespective of contrast. A general scene ist formulated mathematically and its three-dimensional Fourier transform is calculated. In frequency space, the energy of a moving image region is concentrated on a plane. A filter, the frequency response of which is fitted to this plane, can detect the object and separate it from the differently moving background. Design techniques for recursive and nonrecursive filters are described, and simulation results demonstrate the ability of this method.
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