Many 3-dimensional (3D) techniques have been utilized to register and analyze the face in 3 dimensions, but each system has its own merits and disadvantages. C3D is a relatively new 3D imaging system that was developed to capture the 3D geometry of the face. Landmark identification on 3D facial models is facilitated by a software-based facial analysis tool developed by the authors. The reproducibility of landmark identification was high for 20 of the chosen points (standard deviations of repeated placements of landmarks around their centroids were 0.5 mm or less). The method is useful in studying facial soft tissue changes following orthognathic surgery and other types of facial surgery, as well as assessing facial soft tissue growth and development of the craniofacial complex.
We extend this
Procedure to determine the optimal hyperball packings to the above
5-dimensional prism tilings. We compute their metric data and the densities of
Their optimal hyperball packings, moreover, we formulate a conjecture for the
Candidate of the densest hyperball packings in the 5-dimensio...
We calculate all other
Parameters, masses and couplings. We focus in this work on the spectrum of the
8 Higgs bosons (which all potentially contribute to the W and quark masses),
And on the mixing (Cabibbo) angle, leaving the study of couplings to a
Subsequent work. The Higgs bosons fall into one tr...
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