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Proceedings Paper

Quality time with the fractious Fourier family
Author(s): Harrison H. Barrett
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Paper Abstract

The Fourier family comprises a wide variety of mathematical transforms, some of them well established in the image-science community, some lesser known but deserving of more recognition. The goal of this paper is to survey the genealogy of this family and to show some possibly non-obvious applications of each member. Three central premises run through the discussion: (1) There can be no science of imaging without a scientific approach to the evaluation of image quality; (2) Image quality must be defined in terms of the information that is desired from the image and the method of extracting that information; (3) Digital images are discrete data obtained from a continuous object. These considerations will lead us to rely on rather different members of the Fourier family than the ones most often encountered in polite imaging society.

Paper Details

Date Published: 6 July 2001
PDF: 13 pages
Proc. SPIE 4392, Optical Processing and Computing: A Tribute to Adolf Lohmann, (6 July 2001); doi: 10.1117/12.432798
Show Author Affiliations
Harrison H. Barrett, Optical Sciences Ctr./Univ. of Arizona and Univ. of Arizona (United States)


Published in SPIE Proceedings Vol. 4392:
Optical Processing and Computing: A Tribute to Adolf Lohmann
David P. Casasent; H. John Caulfield; William J. Dallas; Harold H. Szu, Editor(s)

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