Cryptography Reference
In-Depth Information
l
blackarea
is the maximum value of the black area for a white pixel, which
contains two cases (a1) and (a2), i.e.,
l
blackarea
= maxfA
B;a1
;A
B;a2
g
= maxfP(A
1
) + P(A
2
) + P(A
3
) + A
0
1
+ A
0
2
+ A
0
3
+ A
0
4
;
A
1
+ A
2
+ A
3
+ A
4
+ P(A
0
1
;A
0
2
) + A
0
3
g
= A
1
+ A
2
+ A
3
+ A
4
+
maxfP(A
1
) + P(A
2
) + P(A
3
);P(A
0
1
;A
0
2
) + A
0
3
g
= A
1
+ A
2
+ A
3
+ A
4
+ A
1
+ A
2
+ A
3
= s
2
+ A
1
+ A
2
+ A
3
=
2s
2
A
4
(11.5)
h
blackarea
is the minimum value of the black area for a black pixel, which
contains two cases (b1) and (b2), i.e.,
h
blackarea
= minfA
B;b1
;A
B;b2
g = s
2
+ A
4
(11.6)
l
blackarea
is the average black area for a white pixel, which contains two
cases (a1) and (a2), i.e.,
l
blackarea
=
A
B;a1
+ A
B;a2
2
=
2
[(P(A
1
) + P(A
2
) + P(A
3
) + A
0
1
+ A
0
2
+
A
0
3
+ A
0
4
)
+(A
1
+ A
2
+ A
3
+ A
4
+ P(A
0
1
;A
0
2
) + A
0
3
)]
(11.7)
2
[( P(A
1
) + P(A
2
) + P(A
3
) + A
0
1
+ A
0
2
+ A
0
3
+ A
0
4
)
+(A
1
+ A
2
+ A
3
+ A
4
+
1
=
P(A
0
1
;A
0
2
) + A
0
3
)]
= s
2
+
A
2
+
A
2
3A
3
4
+
h
blackarea
is the average black area for a black pixel, which contains two
cases (b1) and (b2), i.e.,
A
B;b1
+
A
B;b2
= s
2
+
A
1
2
+
A
2
2
+
A
3
4
h
blackarea
=
+ A
4
(11.8)
2
h
whitearea
is the minimum value of the white area for a black pixel, which
contains two cases (b1) and (b2), i.e.,
h
whitearea
= minfA
W;b1
;A
W;b2
g = 0
(11.9)
l
whitearea
is the maximum value of the black area for a white pixel, which
contains two cases (a1) and (a2), i.e.,
l
whitearea
= maxfA
W;a1
;A
W;a2
g = s
2
(11.10)
h
whitearea
is the average white area for a black pixel, which contains two
cases (b1) and (b2), i.e.,
A
W;b1
+ A
W;b2
2
=
A
1
2
+
A
2
2
3A
3
4
h
whitearea
=
+
(11.11)
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