Graphics Reference
In-Depth Information
Examples of interclass geodesics
Examples of intraclass geodesics
Figure 3.13
Examples of intra- and inter-class geodesics in the shape space. Copyright
C
1969, IEEE
Secondly, since we have geodesic paths denoting optimal deformations between individual
curves, we can combine these deformations to obtain full deformations between faces. In
fact, these full deformations are geodesic paths between faces when represented as elements
of
[0
,α
0
]
. Shown in Figure 3.13 are examples of such geodesic paths between source and
target faces. The three top rows illustrate paths between different subjects called interclass
geodesics, whereas the remaining rows illustrate paths between the same person under different
expressions called intraclass geodesics.
S
3.6 The Dense Scalar Field (DSF)
With the proposed representation, a facial surface is approximated by an indexed collection
of radial curves
β
α
, where the index
α
denotes the angle formed by the curve with respect to
