FracLac for ImageJ
Audrey Karperien’s lab at the School of Community Health, Faculty of Science, Charles Stuart University, Australia has given us a free fractal, multifractal and lacunarity analysis suite called FracLac, a plugin for Image J.
From the Manual:
Fractals are not necessarily physical forms – they can be spatial or temporal patterns, as well. In general, fractals can be any type of infinitely scaled and repeated pattern. In this regard, it is important to be aware that theoretical fractals are abstractions, but the subjects of fractal analysis, such as digital images limited by screen resolution, are generally not true fractals in the strictest sense. Similarly, the so-called fractals typically found in nature are not infinitely scaled, thus, like finite computer generated patterns, are generally only approximations to fractals in the strictest sense.
Fractal analysis is a contemporary method of applying nontraditional mathematics to patterns that defy understanding with traditional Euclidean concepts.
In essence, it measures complexity using the fractal dimension.
In other words, fractal analysis is a tool for characterizing complex patterns such as neuronal anatomy and neuronal physiology.
One of the assumptions of consciousness science is that some degree of complexity in brain structure and function is necessary for consciousness. Contrast this with panpsychism which is an elegant solution to the problem of consciousness, but lacks empirical support. Tools like FracLac could have a role in determining where the boundary is between conscious and nonconscious systems.
Shown below are some of the images analyzed by FracLac. Details of the analysis are on the site: http://rsbweb.nih.gov/ij/plugins/fraclac/fraclac.html http.