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 inner-party politics, these methods lead, as we shall yet see, to this: the party organization substitutes itself for the party, the central committee substitutes itself for the organization, and, finally, a dictator substitutes himself for the central committee.”
—Leon Trotsky (18791940)
“The first moments of sleep are an image of death; a hazy torpor grips our thoughts and it becomes impossible for us to determine the exact instant when the I, under another form, continues the task of existence.”
—Gérard De Nerval (18081855)