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Digital Video Processing, Second Edition by A. Murat Tekalp

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Chapter 1. Multidimensional Signals and Systems

There are some fundamental differences between the theory of one-dimensional and multi-dimensional signal processing, which arise from the related facts that zeros and poles of the multi-dimensional z-transform are not isolated points but functions, and multi-variable polynomials in general do not factor.

The theory of multi-dimensional (MD) signals and systems is fundamental to understanding digital image and video processing. Digital images are two-dimensional (2D) sequences (partially ordered) with two discrete spatial variables; they can also be represented by arrays (vectors or matrices). Digital video is a three-dimensional (3D) function of two spatial and one temporal variable; and 3D video ...

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