The particle analysis yields incorrect results. The error is best demonstrated by example:
Given a pixel to real world transformation of 1 pixel = 5 units.
The distance of 10 pixel yields 50 units as it should (using calipers, point to point distance etc).
But a 10 pixel by 10 pixel area (100 pixel^2) gives an answer of 25 units^2 instead of 2500 units^2.
A moment of inertia of 100 pixels^4 gives an answer of 6.25 units^4 instead of 62500 units^4.
Thus (pixels)^n = (.1 units)^n for n >1.