Fractal Analysis Software. Compute fractal dimensions with this application. Fractalyse was initially developed to measure fractal dimension of built up areas of cities. It may be used to compute fractal dimension of black and white image, curve and network. It contains also several image processing tools.

Fractalyse implements different methods (box counting, radius mass, correlation...) to measure fractal dimension which corresponds to different dimensions (Hausdorff, Minkowski, correlation...). The process of the measure is split in two part :
1. the counting method
2. the estimation module.

The counting method
Counting method goes step by step following an iteration principle. At each iteration step, the method involved counting the number of black pixels contained in a counting window. From one step to the next, the size of the counting window is enlarged. By doing that, we artificially change the level of analysis of the image.

The estimation module
Mathematically, the series of points is a curve (named the empirical curve). The next stage is to fit this empirical curve with another one, the estimated curve. If the empirical curve follows a fractal law, the estimated curve has the form of a power law (parabolic or hyperbolic), and D represents the fractal dimension.

Measure of fractal dimension :
1. radius mass
2. grid (or box counting)
3. correlation
4. dilation
5. gaussian convolution of curves

Other features :
1. curve of scaling behavior
2. patterns border extraction
3. counting of number of clusters and lacunas
4. tentacularity of convoluted curve

Please Note: this program is free for non-commercial use only.

The license of this software is Freeware, you can free download and free use this graphing software.