Fractal Generator

Author: Audrey Karperien (akarpe01@postoffice.csu.edu.au)
History: 2005/08/10: First version
2007/06/19: Updated options and interface; added Koch fractals
Requires: Java 1.3 or later
Source: Fractal_Generator.java
Installation: Download Fractal_Generator.class to the plugins folder and restart ImageJ.
Description: The plugin draws simple quadric and Koch fractal contours and a Sierpinski gasket type 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

TypeScaling Rule
(ln New Parts/ ln Scale)
= Fractal Dimension
Koch Lineln 4/ln 31.26
Koch Flakeln 4/ln 31.26
Quadric Flakeln 3/ln (√5)1.37
Quadric Crossln 3.33/ln (√5)1.49
8-Segment Quadric Fractalln 8/ln 41.50
18-Segment Quadric Fractalln 18/ln 61.61
32-Segment Quadric Fractalln 32/ln 81.67
50-Segment Quadric Fractalln 50/ln 101.70

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