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Title: Transformations for dimension reduction and expansion of the discrete Fourier transform under scanning
Authors: Margerum, Eugene A.
Keywords: Discrete fourier transform
Dimension reducing mapping
Image processing
Transfer function
Publisher: U.S. Army Engineer Topographic Laboratories.
Engineer Research and Development Center (U.S.)
Series/Report no.: Research note (U.S. Army Engineer Topographic Laboratories) ; ETL-RN-74-3.
Description: Research note
Direct relationships arc developed between the discrete Fourier transform of a two-dimensional (rectangular) array and the discrete Fourier transform of the two-dimensional array formed by scanning the two-dimensional one. The forward and inverse relations both lake the form of suns involving certain coefficients which arc defined as a sum of complex exponential function. It is shown that these coefficients can be expresscd by a relatively simple formula. The method can be readily generalized for the reduction of dimension of transforms of arrays of higher dimensionality.
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