Pattern Generator with Fourier Transforms

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Two-dimensional Fourier transforms make it possible to describe pictures with local frequencies. The results of transformations can be used for the study of landscapes. Here, the method is used as a pattern generator. If the basis pictures are simple and symmetric then they have strange ornamental properties.

Contributed by: Herbert W. Franke (March 2011)
Open content licensed under CC BY-NC-SA



This is the second of three contributions to the Wolfram Demonstrations Project based on a collaboration with my friend Horst Helbig who died in autumn 2007. See also the Demonstration "Visualization Tools for the Design of Digits".


H. W. Franke and H. S. Helbig, Die Welt der Mathematik–Computergrafik zwischen Wissenschaft und Kunst, Düsseldorf: VDI-Verlag, 1988.

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