Author: 
Audrey Karperien (akarpe01@postoffice.csu.edu.au)

History: 
2005/08/10: First version
2007/06/19: Updated options and interface; added Koch fractals
2012/04/19: Fixed bugs with gui and centering images; updated fat fractals; put all scales on one input dialog as per user requests
2015/04/09: As per user requests, added the ability to generate a series of growth for each fractal model for quantifying fractal analysis results at different iterations.

Requires: 
Java 1.6 or later

Source: 
Fractal_Generator.jar

Installation: 
Download Fractal_Generator.jar to
the plugins folder and restart ImageJ.

Description: 
The plugin draws simple quadric and Koch fractal contours and fat fractals such as the
Sierpinski gasket and a custom fat fractal. The user can specify size, line width, and iterations, and can use colour options
or generate binary files for fractal analysis benchmarks.
The table below illustrates several models that can be generated and lists their theoretical fractal dimensions.
Theoretical Fractal Dimensions
Type  Scaling Rule (ln New Parts/ ln Scale)  = Fractal Dimension 
Koch Line  ln 4/ln 3  1.26 
Koch Flake  ln 4/ln 3  1.26 
Quadric Flake  ln 3/ln (√5)  1.37 
Quadric Cross  ln 3.33/ln (√5)  1.50 
8Segment Quadric Fractal  ln 8/ln 4  1.50 
18Segment Quadric Fractal  ln 18/ln 6  1.61 
32Segment Quadric Fractal  ln 32/ln 8  1.67 
50Segment Quadric Fractal  ln 50/ln 10  1.70 
Fat Fractals  various  various 
Plugins  Home 
