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The various centroids

Point center of mass
All vertices (including unreferenced vertices) are assumed to have equal mass and the center of mass is calculated.
Face center of mass
All polygons are assumed to have equal areal mass density and the center of mass is calculated.
Volume center of mass
The volume enclosed by the polygons is assumed to have uniform mass density and the center of mass is calculated. Note that if the mesh is not closed this is a poorly defined quantity.