Image Moment - Central Moments

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)

    “Revolutions are notorious for allowing even non- participants—even women!—new scope for telling the truth since they are themselves such massive moments of truth, moments of such massive participation.”
    —Selma James (b. 1930)