The orientation and spatial frequency of contours can be analyzed by optical diffraction. A reduced, transparent replica of the contour map functions as a diffraction grating through which coherent light is transmitted. With suitable optics, a diffraction pattern is produced that is the two-dimensional Fourier amplitude transform of the input map. The transform shows the distribution of orientations and spatial frequencies of the input elements. Because contours occur frequently as groups of nested curves of similar shape they usually generate intense diffraction patterns. With additional optics, a spatially filtered reconstructed image can be produced, enhancing the study of relatively obscure features and aiding in the analysis of a combination of distributions. Results are presented for both hypothetical and real contour maps, in terms of both transforms and spatially filtered imagery.
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