ABSTRACT
I t is unusual to pick up a book on image analysis without finding a significant portion of it devoted to a presentation of Fourier transforms (see especially Pratt, 1991; Gonzalez & Wintz, 1987; Jain, 1989). In part, this is due to the utility of working in frequency space to perform certain image processing and measurement operations. Many of these same operations can be performed on the spatial (pixel) domain image only with much greater computational effort. Another reason for the lengthy sections on these methods is that the authors frequently come from a background in electrical engineering and signal processing and so are most comfortable with the mathematics and the use of these methods for other types of signals, particularly the one-dimensional (time varying) electrical signals that make up much of modern electronics.