The Two-Dimensional Fourier Transform

In this chapter the two-dimensional Fourier transform is defined mathematically, and then some intuitive feeling for the two-dimensional Fourier component is developed. Just as we understand that a waveform can be broken down into time-varying sinusoids, so also we can acquire a corresponding physical picture of the decomposition of a single-valued surface in space. A set of useful theorems analogous to the more familiar one-dimensional theorems is presented for reference. Since many of these theorems are of enduring value, it is worthwhile choosing and memorizing those that you think may be useful to have at your fingertips in the future.