Biology Reference
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the squared Euclidean distance between landmarks l and m in
n individuals.
STEP 5: If the original objects are two-dimensional, calculate
for all pairs of landmarks. If the original
objects are three dimensional, calculate
for all pairs of landmarks
l
1,2,…, K ; m
1,2,…, K.
The estimate of the mean form matrix, that is the estimate of the
distances between pairs of landmarks in the mean form (the red pen
transparency) is provided by
This estimator can be improved by constraining it to be a form matrix
corresponding to a two- or three-dimensional (as the case may be)
object as described below.
STEP 6: Construct the matrix
the squared Euclidean distance matrix corresponding to the
above mean form matrix.
STEP 7: Calculate the corresponding centered inner product
matrix by
where
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