From: Soka Lim on
Hello,
I have a 3D image (200× 200× 400 pixels) which contains randomly distributed
spheres (of known diameter). I would like to know the average coordination no
of this system. Can anyone suggest me, how to proceed ?
Thanks for reading,

Regards,
soka
From: Jan Simon on
Dear Soka!

> I have a 3D image (200× 200× 400 pixels) which contains randomly distributed
> spheres (of known diameter). I would like to know the average coordination no
> of this system.

The average coordinate number is (100, 100, 200). I'm sure, you want something else. What?
The center of mass? Than calculate the MEAN of all coordinates, which contain pixels belonging to the spheres.

Kind regards, Jan
From: Soka Lim on
"Jan Simon" <matlab.THIS_YEAR(a)nMINUSsimon.de> wrote in message <hgngnj$4a8$1(a)fred.mathworks.com>...
> Dear Soka!
>
> > I have a 3D image (200× 200× 400 pixels) which contains randomly distributed
> > spheres (of known diameter). I would like to know the average coordination no
> > of this system.
>
> The average coordinate number is (100, 100, 200). I'm sure, you want something else. What?
> The center of mass? Than calculate the MEAN of all coordinates, which contain pixels belonging to the spheres.
>
> Kind regards, Jan

Thanks Jan for your reply,
However I want something else: the above mentioned 3D image is a volumetric information (i.e. in pixel & voxel) of an expt. where it contains randomly distributed spheres (closed packed geometry). let's assume, average diameter of the sphere is ~ 8 pixels. As we know for simple cubic, the coordination no is 6. But due to random distribution over the space, it must change. What would be the average coordination no of this particular case.
Thanks again & awaiting for kind response.

Regards,
Soka
From: Jan Simon on
Dear Soka!

> However I want something else: the above mentioned 3D image is a volumetric information (i.e. in pixel & voxel) of an expt. where it contains randomly distributed spheres (closed packed geometry). let's assume, average diameter of the sphere is ~ 8 pixels. As we know for simple cubic, the coordination no is 6. But due to random distribution over the space, it must change. What would be the average coordination no of this particular case.

I'm still lost. Please define "coordination no". The hint, that it is 6 for a cube is not sufficient (perhaps only for me).

Kind regards, Jan