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Re: Measuring sphericity of a set of voxels. [message #67800] Fri, 28 August 2009 08:46 Go to previous message
cgguido is currently offline  cgguido
Messages: 195
Registered: August 2005
Senior Member
Thanks for your reply pp!

> Though spherical distributions have 3 equal moments of inertia, it
> also happens for other shapes.

yeah, that is what i meant when I said there would be a better way.


>
> You could calculate the density as a function of spherical
> coordinates, and them see how constant the density is for a given
> radius (or the integrated mass under some radius), as a function of
> the two angles. The first thing I would do is to make a plot of those
> quantities to see how flat the curves are, then start looking for
> measures of it (the standard deviation being the simplest one). It
> seems to me that the tricky part to calculate those things may be
> resolution issues, if the number of points you have is not very large.

Indeed it could be a problem since my blobs are about 3 or 4 pixels in
diameter...

What about calculating the correlation between the blob brightness and
the brightness of an ideal sphere "imaged" with no voxel noise? Could
even do this twice: once for a solid sphere and once for a sphere with
a gaussian distribution of brightness....

What do you think?

Thanks,
Gianguido
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