Re: Measuring sphericity of a set of voxels. [message #67800] |
Fri, 28 August 2009 08:46  |
cgguido
Messages: 195 Registered: August 2005
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Senior Member |
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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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