Raw Image Moments.
Calculate the raw Hu image moment Mij.
Mij(x, s, i = 0, j = 0)
A two-column matrix giving the location coordinates. May be missing in which case they are assumed to be integers giving the row and column numbers.
Integer giving the moment order for each coordinate x and y, resp.
The raw moment M_ij (Hu 1962) is calculated by
M_ij = sum(x^i * y^j * Im[i, j])
where x and y are the pixel coordinates and Im is the (image) matrix. Various useful properties of an image may be gleaned from certain moments. For example, the image area is given by M_00, and the image centroid is (M_10 / M_00, M_01 / M_00). The image orientation angle can also be derived.
A single numeric giving the desired moment is returned.
Hu, M. K. (1962) Visual Pattern Recognition by Moment Invariants. IRE Trans. Info. Theory, IT-8, 179–187.
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data(geom000) Mij(geom000) # area