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Fourier Art

Einleitungsbild
The Principle
Examples
Links

Great artistic patterns can be generated using Fourier techniques in a simple way.


The Principle - From a little dot to artistic patterns

An image with a little white blob (the shape of the blob determines the design formed later) is taken and a Fourier transform is applied on it. The Fourier transform of the blob (Fig. 1 + 2) is shown in Fig. 3. With a little bit of creativity (e.g using filters for generating fractals) with an image editing program like Gimp, artistic patterns can be generated from Fig. 3. The result is as shown in Fig. 4.

Different start shapes of the blob generate differnent artistic patterns (see the Examples section).

blob image Blob zoomed
Fig. 1 Fig. 2
Fourier Transform of the Blob Generated Art form
Fig. 3 Fig. 4

Examples

FFT_ART12 Image3
Image2 Image4
Image 5 Image 6
Image7 Image8
fft_art1_3_1 fft_art1_4

Typically these Patterns are very much suited for tiling (replication) due to the properties of the discrete Fourier transform.

Tiled1 tiled2

Links

Fourier Transforms