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https://hdl.handle.net/11681/5024| 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 Scanning |
| 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. |
| Rights: | Approved for public release; distribution is unlimited. |
| URI: | http://hdl.handle.net/11681/5024 |
| Appears in Collections: | Research Note |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| ETL-RN-74-3.pdf | 508.11 kB | Adobe PDF |  View/Open |