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Figure 3.16 An example of Karcher mean of faces, the face at the right is the karcher mean of the eight
faces in the left. Copyright C
1969, IEEE
An example of a Karcher mean face for eight faces belonging to different people is shown in
Figure 3.16. This figure illustrates the mean face of faces belonging to different persons. Several
examples of using the Karcher mean to compute average noses are shown in Figure 3.17.
3.7.2 Learning Statistical Models in Shape Space
We have a way of estimating the Karcher mean of a sample set on a nonlinear manifold. What
about principal component analysis? The core of this problem, in our representation of facial
surfaces by curves, is to take a partial facial curve and predict its completion. The sources of
Figure 3.17
Examples of nasal shapes and their means. Copyright C
2009, IEEE
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