Quality time with the fractious Fourier family

Harrison H. Barrett

doi:10.1117/12.432798

6 July 2001 Quality time with the fractious Fourier family

Harrison H. Barrett

Proceedings Volume 4392, Optical Processing and Computing: A Tribute to Adolf Lohmann; (2001) https://doi.org/10.1117/12.432798
Event: Aerospace/Defense Sensing, Simulation, and Controls, 2001, Orlando, FL, United States

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.

Citation Download Citation

Harrison H. Barrett "Quality time with the fractious Fourier family", Proc. SPIE 4392, Optical Processing and Computing: A Tribute to Adolf Lohmann, (6 July 2001); https://doi.org/10.1117/12.432798

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