I am trying to understand the theory behind calculating an Intensity Centroid (image processing), in particular defining moments.
As defined by Rosin 1:
$m_{pq}=\underset{x,y}{\Sigma}x^py^qI(x,y)$
From what I assume/understand:
$x$ and $y$ are the $x$ $y$ co-ordinates of a pixel.
$p$ and $q$ are order of moments for a pixel (a weighted average of pixel intensity) - not sure how these are calculated.
Is it a case of the $Ix$ and $Iy$ both determine the values of $p$ and $q$ respectively?
As you can no doubt tell I have no math background, if anyone could help explain this I would be grateful.
We don't calculate p and q we specify them. For example for the moment of order 2 we set p and q=2. I(x,y) is just a function of intensity and is not used to calculate p or q however it is used to calculate m_pq