Re: particle distribution - randomness/uniformity

Posted by Kenneth Sloan-2 on May 24, 2007; 7:49pm
URL: http://imagej.273.s1.nabble.com/particle-distribution-randomness-uniformity-tp3699301p3699306.html

On May 24, 2007, at 11:29 AM, Annapragada, Sriram K. wrote:

> I had the following question. Any help will be really appreciated
>
> I have a stack of binary-8bit images with a random distribution of  
> particles; also each image has a different number of particles. I  
> was trying to find out how random the distribution was i.e. how  
> uniformly the particles are distributed across each image.
>
> One of the previous mails to this list suggested averaging the  
> shortest distance between all the particles - but that does not  
> show any significant difference between images.
>
> Is there a another way to do this?
>
> thanks,
> Kiran.

One traditional method is to plot the Cumulative Distribution of  
point-point distances.  There is some literature (I would have to dig  
to find it, sorry) on interpreting the results.  I used this a long  
time ago with some success to analyze the distribution of cones in  
human retina.  (search in PubMed for "Sloan KR" and you'll find the  
papers).

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