2. Fourier transform of two-dimensional signals and images

The methods presented in this paragraph and in the following file focus on those aspects of multi-dimensional signal and image processing problems where frequency interpretation is important: filtering and pre-processing of images prior to interpretation, wave propagation problems, etc., as opposed to image recognition and interpretation problems. They are, for the most part, extensions of one-dimensional techniques such as Fourier analysis and linear filtering of temporal signals processed in .

We begin the presentation here with the expression, in the two-dimensional case, of the Fourier transform and some of its properties. Then, in the we'll take up the sampling formulation again, focusing on a few phenomena specific to two-dimensional signals. Then we'll look at the extension of the z-transform. This paragraph...