Design and Implementation - Segmentation of Hand Bone for Bone Age Assessment - page 58

3.5

m=2,n=3
m=2,n=4
m=2,n=5
m=2,n=6
m=2,n=7

3

2.5

2

1.5

1

0.5

0

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

Relative Brightness Difference (RBD)

Fig. 3.5 Illustration of the relationship between RBD and BPS when both the shape parameters
are not equivalent: asymmetrical triangular shaped distribution with peak at different value of
RBD . These five curves demonstrate the effect of five different values of manipulated param-
eter n with constant parameter m = 5 on the shape of BPS function: as both shape parameters
increase, the curve spread and falls off unevenly

1
| σ y −σ x |
σ x + c

RCD = + c

(3.6)

where
σ y = σ x if σ y >σ x

(3.7)

2

N − 1 M − 1

1
MN

x i , j
x max

(3.8)

σ x = − µ x

i = 0 j = 0

2

N − 1 M − 1

1
MN

x i , j
x max

(3.9)

σ y = − µ y

i = 0 j = 0