Mij | R Documentation |
Calculate the raw Hu image moment Mij.
Mij(x, s, i = 0, j = 0)
x |
A matrix. |
s |
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. |
i,j |
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.
Eric Gilleland
Hu, M. K. (1962) Visual Pattern Recognition by Moment Invariants. IRE Trans. Info. Theory, IT-8, 179–187.
imomenter
data( "geom000" ) Mij( geom000 ) # area
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