Computer Models for Facial Beauty Analysis by David Zhang Fangmei Chen & Yong Xu

Author:David Zhang, Fangmei Chen & Yong Xu
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

MIN

0.0224

0.0195

0.0195

MEAN

0.0631

0.0675

0.0677

VAR

2.0298e-4

2.1791e-4

2.2402e-4

Fig. 8.5An illustration of the space of human face shapes S FS (the green colored region), which is a very condensed subspace of S G , or a small local patch on the unit hypersphere

The observation of a very condensed space of human face shapes is not surprising. A shape, as a valid face shape of a real human face (here we refer to upright faces), has to conform to a number of constraint s. For example, there should be two eyes residing nearly-symmetrically on the left and right parts of the face, and there should be one mouth below the only one nose on the face, etc. As a result, a random point in S G (i.e. on the unit hypersphere) but outside the subspace of valid human face shapes will correspond to a shape that will not be perceived as a real human face.

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