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Fig. 1.
With the smoothing, the lobed leaf (bottom) is distinguished from the serrated
leaf (top)
can then calculated using the Jeffrey-divergence distance measure. For two pdfs,
f
a
and
f
b
, the distance between them,
JD
(
f
a
,f
b
), is calculated as follows:
JD
(
f
a
,f
b
)=
i
f
a
(
i, j
)+
f
b
(
i, j
)
)+
f
b
(
i, j
)
log
(
2
f
b
(
i, j
)
2
f
a
(
i, j
)
f
a
(
i, j
)+
f
b
(
i, j
)
)
(3)
Since the signatures for two leaves may begin at different points on the leaves,
the signature must be aligned before they can be compared. This can by using
f
a
(
i, j
)
log
(
j
Table 1.
The confusion matrix for the contour signatures, including lobe differentiation
012345678901234567
0 .400000000 .500000000
1 0 .400 .8 .40 .40000000000
2 0 0 0.47 0.11 0 0 0.19 0 0 0 0 0 0 0.19 0 0.02 0 0
3 000 .600 .300000000000
4 0 .700 .7 .80 .60000000000
5 0000 .8 .800 .6000000000
6 000 .600 .400000000000
7 0 0.22 0 0 0.13 0.19 0 0.38 0.02 0 0 0.02 0 0 0 0 0 0
8 0 0.04 0 0 0.04 0.28 0 0.08 0.40 0 0 0.16 0 0 0 0 0 0
9 000000000 .7000000 .20
10 0000000000 .00000000
11 0 0.06 0 0 0.07 0.20 0 0.11 0.08 0 0 0.45 0 0 0 0 0 0
12 000000000000 .70 .2000
13 0000000000000 .00000
14 000000000 .100 .20 .40 .20
15 000000000000000 .000
16 000000000 .50000 .20 .10
17 0000000000000 .2000 .7
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