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  • Last update: 5 years ago
  • Total downloads: 151
  • Operating system: Linux, Mac OS X, Win All, BSD, Solaris
  • Publisher: Alceu Costa
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scripts default iconHausdorff (Box-Counting) Fractal Dimension (Scripts) Publisher's description

Returns the Haussdorf fractal dimension D of an object represented by the binary image I.

Returns the Haussdorf fractal dimension D of an object represented by the binary image I. Nonzero pixels belong to an object and 0 pixels constitute the background.


1 - Pad the image with background pixels so that its dimensions are a power of 2.
2 - Set the box size 'e' to the size of the image.
3 - Compute N(e), which corresponds to the number of boxes of size 'e' which contains at least one object pixel.
4 - If e > 1 then e = e / 2 and repeat step 3.
5 - Compute the points log(N(e)) x log(1/e) and use the least squares method to fit a line to the points.
6 - The returned Haussdorf fractal dimension D is the slope of the line.

System Requirements:

MATLAB 7.8 (R2009a)
Program Release Status: New Release
Program Install Support: Install and Uninstall

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