Narrow band analysis of a filter bank for the directional decomposition of images

The case where there are a large number of directional components is investigated. In particular, the limiting case where the directional components are reduced to 1-D signals is studied. These 1-D signals are related to projections taken through the image at various angular orientations. The projection-slice theorem is invoked in order to develop the relationship between the directional filter bank and the Radon transform. A comparison is made of the computational efficiencies of the filter bank and discretized versions of the Radon transform.<
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