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6 July 2001 Quality time with the fractious Fourier family
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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.
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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);

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