Kevin Cowtan's Book of Fourier

This is a book of pictorial 2-d Fourier Transforms. These are particularly relevant to my own field of x-ray crystallography, but may also be of interest to anyone involved in signal processing or frequency domain calculations.

I have adopted a colourful scheme for representing complex numbers on the two-dimensional images. Amplitude is represented by colour saturation and brightness, while phase is given by hue. This is illustrated in the following figure:

Note that positive real numbers are red, and negative real numbers are cyan.


Contents:


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Kevin Cowtan: cowtan@yorvic.york.ac.uk