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  Institut für Technische Optik
  Universität Stuttgart
  Pfaffenwaldring 9
  70569 Stuttgart
  Deutschland
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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 generates differnent artistic patterns ( see the Examples section ).

 

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

Examples

Sample Art Forms
Image1 Image3
Image2 Image4
Image 5 Image 6
Image7 Image8


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

Tiled1 tiled2
   


Links

Links

Fourier Transforms

Image editing program

Gimp

Free to download