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Calculation of fractal dimension of a 3D volume using fft

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Calculation of fractal dimension of a 3D volume using fft

by Jianbo Zhang

 

21 Feb 2005 (Updated 23 Feb 2005)

This function calculates fractal dimension of a 3D fractal volume by fourier transform

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Description

This matlab scprit calculates fractal dimension and intercept of a 3D volume along each redial line using Fourier analytical technique. Directionally averaged fractal dimension, intercept and Hedgehog plots of fractal dimension and intercept of each direction are given.

Acknowledgements

The author wishes to acknowledge the following in the creation of this submission:
Calculation of fractal dimension of fractal surfaces using fft

MATLAB release MATLAB 7.0.1 (R14SP1)
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Comments and Ratings (4)
16 Nov 2006 rodica voicu  
03 Apr 2007 deepak k  
11 Sep 2007 Alberto Rossi  
17 Jun 2008 Poppo Curo

I tried the library with a simple 3D image: all zeros but a mid plane of 1s. The answer should have been 2 (the fractal dimension of regular plane is 2). The library crashed!

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Tag Activity for this File
Tag Applied By Date/Time
fractals Jianbo Zhang 22 Oct 2008 07:41:41
fractal volume Jianbo Zhang 22 Oct 2008 07:41:41
fractal dimension Jianbo Zhang 22 Oct 2008 07:41:41
mathematics Jianbo Zhang 22 Oct 2008 07:41:41
fft Jianbo Zhang 22 Oct 2008 07:41:41
fractal dimension njl 01 Feb 2012 12:39:38

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