Rank: 1398 based on 93 downloads (last 30 days) and 2 files submitted
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Omar Al-Kadi

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University of Jordan

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http://omar.alkadi.net


 

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06 Jan 2014 Screenshot Fractal Dimension Generating a pixel- by pixel fractal dimension image using box counting algorithm Author: Omar Al-Kadi fractal dimension, lacunarity, image processing, signal processing, computer vision, texture analysis 51 4
  • 4.66667
4.7 | 3 ratings
21 Jan 2010 Fractal dimension Generating a fractal dimension image using box counting algorithm Author: Omar Al-Kadi fractal dimension, image processing, signal processing, computer vision, texture analysis 42 4
  • 4.66667
4.7 | 3 ratings
Comments and Ratings by Omar Al-Kadi View all
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16 Jan 2014 Fractal Dimension Generating a pixel- by pixel fractal dimension image using box counting algorithm Author: Omar Al-Kadi

Thank you Mohammad for your kind comment. Yes there are many ways to compute the FD other than the Box Counting method, such as the fractal Brownian motion by estimating the Hurst index, or via the signals' power spectrum, or using the autocorrelation function. All of these FD estimation approaches attempt to quantify the roughness of the 2D signal surface.

22 Mar 2011 Fractal dimension Generating a fractal dimension image using box counting algorithm Author: Omar Al-Kadi

Thanks Martin, and I'm happy you found the script useful.
Yes as you guessed, the standard deviation mainly depends on the type of image you anslyse. That is, the more homogeneous the texture in the image is, the more homogeneous the Fractal dimension becomes, and thus the lower the standard deviation; and vice versa. To check, try to apply the script to images with different textures (e.g. rough and fine) and compare your results.

Kind regards, 
Omar

Comments and Ratings on Omar Al-Kadi's Files View all
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12 Sep 2014 Fractal Dimension Generating a pixel- by pixel fractal dimension image using box counting algorithm Author: Omar Al-Kadi Abhijit

Only concern is that this runs slow. Can you recommend any optimization?

14 Jul 2014 Fractal dimension Generating a fractal dimension image using box counting algorithm Author: Omar Al-Kadi SURVINDER

@Rajkumar Why to use this for signal processing? There are algorithms based on kNN, Higuchi's method and Multi-resolution box count that can perform much better for time series data.

27 Jan 2014 Fractal Dimension Generating a pixel- by pixel fractal dimension image using box counting algorithm Author: Omar Al-Kadi Faraz

Thanks for posting it (y)

16 Jan 2014 Fractal Dimension Generating a pixel- by pixel fractal dimension image using box counting algorithm Author: Omar Al-Kadi Omar Al-Kadi

Thank you Mohammad for your kind comment. Yes there are many ways to compute the FD other than the Box Counting method, such as the fractal Brownian motion by estimating the Hurst index, or via the signals' power spectrum, or using the autocorrelation function. All of these FD estimation approaches attempt to quantify the roughness of the 2D signal surface.

16 Jan 2014 Fractal Dimension Generating a pixel- by pixel fractal dimension image using box counting algorithm Author: Omar Al-Kadi Mohammad

Thanks for sharing, you did a nice job.
I have a question. Is there any other way to generate the slope (FD image) than linear regression of Nd and r?

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