Volume calculation by perimeter possible?

Posted by Zottel on Mar 27, 2009; 3:01pm
URL: http://imagej.273.s1.nabble.com/Volume-calculation-by-perimeter-possible-tp3693164.html

Hi

I was wondering if someone has any good ideas to the following problem:
I do perimter measurements of liquid filled ojects. The general shape of the object varies between cylinder-like and oblate spheroid, but the perimeter line is irregular (first picture).
The question now: Is there any plug-in around or does anyone have an idea how to get the best estimate for a volume of an object by it's perimeter?
My idea of how this could work is to "stretch out" the irregular perimeter line to resemble e.g. a cylinder (of which it is easy to calculated volume from width and length).
Or maybe have "slice" it into a number of discs and then sum up their volume?

We did establish an equation already that calculates the volume fairly well when the object has sort of a regular shape (as in the second picture), but that equation grossly overestimated volume for very thin and elongated objects.

I would be very grateful for any hints on how this could be done in a smart way...

Thanks a lot
/Daniel