Fourier Methods in Imaging

Fourier Methods in Imaging first introduces the basic mathematical concepts of linear algebra for vectors and functions, a knowledge of which is necessary for understanding the subsequent discussions. The second section lays out the mathematical operations and transformations of continuous functions that are useful for describing imaging systems. ‘Special’ functions, such as the Fourier transforms of 1-D and 2-D functions, and the Radon transform, are looked at in detail. Most applications act on discrete functions and these (through the Fourier transform) are discussed in the important third section. The fourth section discusses the description of imaging systems as linear ‘filters’ and applies the mathematical tools to solve specific imaging tasks.

• Offers both new and senior imaging practicitioners a unified and complete source of the mathematical methods used in imaging applications: cinematography, medical, forensic, security and surveillance.

• Encourages the growth of reader intuition with the help of pictorial and graphical examples.

• Chapters grouped into four sections making the book easy for use as a reference.