Fourier Methods In Imaging

Fourier Methods in Imaging introduces the mathematical tools for modeling linear imaging systems to predict the action of the system or for solving for the input. The chapters are grouped into five sections, the first introduces the imaging "tasks" (direct, inverse, and system analysis), the basic concepts of linear algebra for vectors and functions, including complex-valued vectors, and inner products of vectors and functions. The second section defines "special" functions, mathematical operations, and transformations that are useful for describing imaging systems. Among these are the Fourier transforms of 1-D and 2-D function, and the Hankel and Radon transforms. This section also considers approximations of the Fourier transform. The third and fourth sections examine the discrete Fourier transform and the description of imaging systems as linear "filters", including the inverse, matched, Wiener and Wiener-Helstrom filters.

This book helps students develop an understanding of mathematical tools for describing general one- and two- dimensional linear imaging systems, and will also serve as a reference for engineers and scientists.

The Society for Imaging Science and Technology (imaging.org) is an international professional society whose mission is to keep members and other aware of the latest scientific and technological developments in the greater field of imaging. A major objective of the Wiley IS&T series is to advance this goal at the professional level the broad scope of the series focuses on imaging in all its aspects with particular emphasis on digital printing, electronic imaging, image assessment and reproduction, imagine archiving and preservation, color science, pre-press technologies, and hybrid imaging systems.