Re: theoretical question

Posted by Aryeh Weiss on Feb 02, 2010; 4:24pm
URL: http://imagej.273.s1.nabble.com/theoretical-question-tp3689522p3689523.html

rona baron wrote:

> Hi,
>
> In the system I work with, there are round cells, some cells with small
> branches and others which are highly branched.
> I want to express a quantitative differences between these morphologies.
> I thought that the relationship between the volume to the surface area of
> each object would give me this measure. (The more elaborate the object, the
>  smaller the ratio).
> Do you think  this calculation is right? or I need to count and measure the
> length of the branches?
>
> Thanks,
> Rona
>

I have done this using the ratio of the area  of the cell to to area of
its convex hull. This provides a measure of concavity (which might be
defined a little differently, but is similar). The measure I suggest
will have a maximum of 1, and more "concave" objects will  have smaller
ratios.

--aryeh
--
Aryeh Weiss
School of Engineering
Bar Ilan University
Ramat Gan 52900 Israel

Ph:  972-3-5317638
FAX: [phone]