Sampling in Two Dimensions
In two- and higher-dimensional signal processing, sampling and the underlying continuous-space play a bigger role than in 1-D signal processing. This is due to the fact that some digital images, and many digital videos, are undersampled. When working with motion in video, half-pixel accuracy is often the minimal accuracy needed. Also there is a variety of sampling possible in space that does not exist in the case of the 1-D time axis. We start out with the so-called rectangular sampling theorem, and then move on to more general but still regular sampling patterns and their corresponding sampling theorems. An example of a regular nonrectangular grid is the hexagonal array of light-receptive cones on the human ...
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