Game Development Reference
In-Depth Information
Let us consider as input to the emotion analysis sub-system a 15-element length
feature vector
f
that corresponds to the 15 features
f
i
shown in Table 1. The
particular values of
−
f
can be rendered to FAP values as shown in the same table
resulting in an input vector
−
G
. The elements of
G
express the observed values
−
−
of the correspondingly involved FAPs.
Expression profiles are also used to capture variations of FAPs (Raouzaiou,
Tsapatsoulis, Karpouzis & Kollias, 2002). For example, the range of variations
of FAPs for the expression “surprise” is shown in Table 4.
Let
(
,
k
j
)
be the range of variation of FAP
F
j
involved in the
k-th
profile
of
X
(
k
)
P
i
(
k
j
)
(
k
j
)
c
s
(
k
j
)
emotion
i
. If
and
are the middle point and length of interval
X
respec-
i
,
,
i
,
(
,
k
j
)
tively, then we describe a fuzzy class
for
F
j
, using the membership function
A
(
k
)
(
k
j
)
shown in Figure 28. Let also
∆
be the set of classes
(
,
k
j
)
that correspond
µ
A
i
,
j
i
,
G
,
to profile
; the beliefs
and
b
i
that an observed, through the vector
(
k
)
(
k
i
)
P
p
−
facial state corresponds to profile
and emotion
i
respectively, are computed
(
k
)
P
through the following equations:
∏
∆
(
k
)
(
k
)
p
=
r
(
k
i
)
i
b
=
max
(
p
)
and
,
(4)
i
,
j
i
(
,
k
)
(
k
)
A
∈
k
i
j
i
,
j
Table 4. Profiles for the archetypal emotion surprise.
F
3
∈
[569,1201], F
5
∈
[340,746], F
6
∈
[-121,-43], F
7
∈
[-121,-43], F
19
∈
[170,337],
Surprise
(
F
20
∈
[171,333], F
21
∈
[170,337], F
22
∈
[171,333], F
31
∈
[121,327], F
32
∈
[114,308],
(
Su
0
)
F
33
∈
[80,208], F
34
∈
[80,204], F
35
∈
[23,85], F
36
∈
[23,85], F
53
∈
P
)
[-121,-43],
F
54
∈
[-121,-43]
F
3
∈
[1150,1252], F
5
∈
[-792,-700], F
6
∈
[-141,-101], F
7
∈
[-141,-101], F
10
∈
[-
530,-470], F
11
∈
[-530,-470], F
19
∈
[-350,-324], F
20
∈
[-346,-320], F
21
∈
[-350,-
(
Su
P
324], F
22
∈
[-346,-320], F
31
∈
[314,340], F
32
∈
[295,321], F
33
∈
[195,221],
F
34
∈
[191,217], F
35
∈
[72,98], F
36
∈
[73,99], F
53
∈
[-141,-101], F
54
∈
[-141,-101]
F
3
∈
[834,936], F
5
∈
[-589,-497], F
6
∈
[-102,-62], F
7
∈
[-102,-62], F
10
∈
[-380,-
320], F
11
∈
[-380,-320], F
19
∈
[-267,-241], F
20
∈
[-265,-239], F
21
∈
[-267,-241],
(
Su
2
)
P
F
22
∈
[-265,-239], F
31
∈
[211,237], F
32
∈
[198,224], F
33
∈
[131,157],
F
34
∈
[129,155], F
35
∈
[41,67], F
36
∈
[42,68]
F
3
∈
[523,615], F
5
∈
[-386,-294], F
6
∈
[-63,-23], F
7
∈
[-63,-23], F
10
∈
[-230,-170],
F
11
∈
[-230,-170], F
19
∈
[-158,-184], F
20
∈
[-158,-184], F
21
∈
[-158,-184], F
22
∈
[-
(
Su
3
)
P
158,-184], F
31
∈
[108,134], F
32
∈
[101,127], F
33
∈
[67,93], F
34
∈
[67,93],
F
35
∈
[10,36], F
36
∈
[11,37]
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