Central Moments
Central moments are defined as
where and are the components of the centroid.
If ƒ(x, y) is a digital image, then the previous equation becomes
The central moments of order up to 3 are:
It can be shown that:
Central moments are translational invariant.
Read more about this topic: Image Moment
Famous quotes containing the words central and/or moments:
“In a large university, there are as many deans and executive heads as there are schools and departments. Their relations to one another are intricate and periodic; in fact, “galaxy” is too loose a term: it is a planetarium of deans with the President of the University as a central sun. One can see eclipses, inner systems, and oppositions.”
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—Victor Hugo (1802–1885)