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To find the symmetry plane:
-1) I make a clone of the shell
-2) I make a symmetric model, by inverting the matrix (e.g. if the plane is Y) I apply the following transformation to the matrix:
1 0 0 0
0 -1 0 0
0 0 1 0
0 0 0 1

-3) then, I apply the fine registration (ICP). the one of the two mesh.
-4 ...