Update:
It turns out the fiducial points are not aligned. Here is a image showing 4 examples of the same subject, same expression, without alignment and with alignment of 8 fiducial points that correspond to raw point clouds (using 3d affine transforms, mapping FP #1, FP #3, FP #4 -> FP #2):
Black: FP #2
Red: FP #1
Green: FP #3
Blue: FP #4
(8 Fiducial Points, Female subject: #1, Expression (Angry): #1, Binghamton Database)
Below is an image of the 2 sets of 83 control points corresponding a point cloud face that was preprocessed before and after they were affine transformed (but of the same subject, same expression, same number of samples):
Red: FP #2
Blue: FP #1
Purple: FP #3
Teal: FP #4
We also re-computed statistics on all the "aligned" points for a 10 females and 10 males where each male/female has 4 samples of 7 expressions, however, we did not have enough time to conjure up presentable data.


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