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:
“My solitaria
Are the meditations of a central mind.
I hear the motions of the spirit and the sound
Of what is secret becomes, for me, a voice
That is my own voice speaking in my ear.”
—Wallace Stevens (1879–1955)
“The government does not concern me much, and I shall bestow the fewest possible thoughts on it. It is not many moments that I live under a government, even in this world. If a man is thought- free, fancy-free, imagination-free ... unwise rulers or reformers cannot fatally interrupt him.”
—Henry David Thoreau (1817–1862)