center | R Documentation |
This function will take the sample Rs and return the sample Rs centered at S. That is, the ith observation of Rs denoted Ri is returned as S'Ri. If S is the true center then the projected mean should be close to the 3-by-3 identity matrix.
center(x, S) ## S3 method for class 'SO3' center(x, S) ## S3 method for class 'Q4' center(x, S)
x |
n-by-p matrix where each row corresponds to a random rotation in matrix (p=9) or quaternion (p=4) form. |
S |
the rotation or a matrix of n-by-p rotations about which to center each row of x. |
The sample centered about S
Rs <- ruars(5, rcayley) cRs <- center(Rs, mean(Rs)) mean(cRs) #Close to identity matrix all.equal(cRs, Rs - mean(Rs)) #TRUE, center and '-' have the same effect #See ?"-.SO3" for more details center(Rs,Rs) #n-Identity matrices: If the second argument is of the same dimension #as Rs then each row is centered around the corresponding #row in the first argument
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