Pyramidal Image Representation In Nonuniform Systems

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Abstract
In this paper we present a formalism for representation and processing of images which are not band-limited. Motivated by the properties of the visual system, we elaborated an example of a sampling scheme wherein the sampling rate decreases as a function of the distance from the center of the visual field. The broader class of images under consideration, obtained by the application of an appropriate projection filter, constitutes a Reproducing Kernel space which is characterized by "locally band-limited" properties. Sequential half-band filtering of such images generates a pyramidal scheme in the context of nonuniform systems and images.

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