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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

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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".

Reference:

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

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