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ased
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1
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w
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h
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o
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el
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h
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h
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t(
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h
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r
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s
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h
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1
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Or
ig
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m
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g
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o
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l
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e
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ic
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g
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w
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⁄
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w
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a.
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: N
u
m
b
er
o
f
co
lu
m
n
b.
i,j
: P
o
s
itiv
e
in
te
g
er
s
Evaluation Warning : The document was created with Spire.PDF for Python.
IJ
-
I
C
T
I
SS
N:
2252
-
8776
N
ew I
ma
g
e
C
o
mp
r
es
s
io
n
A
lg
o
r
ith
m
u
s
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g
Ha
a
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W
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ve
let
T
r
a
n
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r
m
(
R
.
E
l A
ya
ch
i
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45
3.
P
RO
P
O
SE
D
C
O
M
P
RE
SS
I
O
N
AL
G
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R
I
T
H
M
T
h
e
p
r
o
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lem
o
f
th
e
clas
s
ical
a
lg
o
r
ith
m
(
s
ec
tio
n
2
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i
s
s
t
ill
i
n
th
e
d
ep
en
d
en
ce
o
f
t
h
e
ca
lc
u
lat
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n
o
f
th
e
co
m
p
r
es
s
io
n
a
t
a
le
v
el
w
i
th
t
h
e
p
r
ev
io
u
s
s
tates
(
F
ig
u
r
e
2
)
,
th
at
i
s
to
s
a
y
t
h
at
to
ar
r
i
v
e
at
a
lev
el
h
,
w
e
m
u
s
t
s
tar
ted
w
it
h
a
le
v
el
1
,
a
lev
el
2
,
…
u
n
ti
l
lev
el
h
.
Fig
u
r
e
2
.
C
lass
ical
co
m
p
u
tat
i
o
n
o
f
th
e
co
m
p
r
es
s
ed
i
m
a
g
e
at
lev
el
h
T
h
e
q
u
esti
o
n
i
s
h
o
w
to
co
m
p
u
te
th
e
co
m
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ed
i
m
ag
e
f
o
r
a
lev
el
h
f
r
o
m
an
o
r
ig
in
al
i
m
a
g
e
(
Fig
u
r
e
3
)
w
ith
o
u
t p
ass
i
n
g
th
r
o
u
g
h
i
n
t
er
m
ed
iate
lev
el
s
?
T
h
e
s
o
lu
tio
n
is
th
e
p
u
r
p
o
s
e
o
f
t
h
e
f
o
llo
w
i
n
g
.
Fig
u
r
e
3
.
P
r
o
p
o
s
ed
a
p
p
r
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ac
h
to
co
m
p
u
te
t
h
e
co
m
p
r
es
s
ed
i
m
ag
e
at
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el
h
T
o
r
em
ed
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t
h
i
s
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r
o
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lem
,
w
e
in
tr
o
d
u
ce
a
p
ar
am
e
ter
h
in
ca
lcu
lati
n
g
th
e
co
e
f
f
ic
ien
t
s
o
f
th
e
Haa
r
w
a
v
elet
as
f
o
llo
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s
:
⁄
⁄
⁄
⁄
(
⁄
)
⁄
⁄
(
⁄
)
(
3
)
Af
ter
t
h
is
c
h
an
g
e,
w
e
u
s
e
“
E
q
u
atio
n
1
”
to
f
i
n
d
th
e
co
m
p
r
e
s
s
ed
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m
a
g
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at
le
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el
h
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e
n
,
we
m
u
ltip
l
y
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e
r
esu
lt b
y
a
co
r
r
ec
tio
n
ter
m
ac
co
r
d
in
g
to
th
e
f
o
llo
w
i
n
g
f
o
r
m
u
la:
(
)
(
4
)
w
h
er
e
a.
Sc
h
: is th
e
co
m
p
r
ess
ed
i
m
a
g
e
at
lev
el
h
b
ef
o
r
e
co
r
r
ec
tio
n
b.
Sc
res
: is th
e
co
m
p
r
es
s
ed
i
m
a
g
e
at
lev
el
h
Af
ter
co
r
r
ec
tio
n
4.
E
XP
E
R
I
M
E
NT
A
L
RE
SUL
T
S AN
D
D
I
SC
USS
I
O
N
C
o
m
p
ar
ativ
e
s
t
u
d
y
o
f
a
s
et
o
f
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o
r
ith
m
s
to
ch
o
o
s
e
t
h
e
b
es
t,
b
ased
o
n
th
e
cr
iter
io
n
o
f
co
m
p
lex
i
t
y
.
T
h
e
latter
m
ea
n
s
t
h
e
a
m
o
u
n
t
o
f
r
eso
u
r
ce
s
n
ee
d
ed
f
o
r
p
r
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ce
s
s
i
n
g
a
n
in
p
u
t
u
s
i
n
g
a
n
al
g
o
r
ith
m
.
T
h
e
m
ain
r
eso
u
r
ce
s
ar
e
m
ea
s
u
r
ed
ti
m
e
(
n
u
m
b
er
o
f
in
s
tr
u
ctio
n
s
u
s
ed
)
an
d
s
p
ac
e
(
am
o
u
n
t
o
f
s
to
r
ag
e
s
p
ac
e
r
eq
u
ir
ed
)
.
I
n
th
is
p
ap
er
,
w
e
u
s
e
t
h
e
f
ir
s
t r
es
o
u
r
ce
.
I
n
th
i
s
s
ec
tio
n
,
w
e
p
r
esen
t
t
h
e
r
esu
lts
o
f
co
m
p
r
es
s
io
n
o
f
a
s
et
o
f
i
m
a
g
es
u
s
i
n
g
th
e
p
r
in
cip
le
Haa
r
w
a
v
elet
s
.
Dif
f
er
en
t c
o
m
p
r
ess
i
o
n
s
w
ill b
e
ca
lcu
lated
u
s
i
n
g
al
g
o
r
ith
m
s
m
e
n
tio
n
ed
i
n
s
ec
tio
n
s
2
an
d
3
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
2
5
2
-
8776
IJ
-
I
C
T
Vo
l.
6
,
No
.
1
,
A
p
r
il
20
1
7
:
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~
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46
Fig
u
r
e
4
,
Fig
u
r
e
5
,
Fig
u
r
e
6
an
d
Fig
u
r
e
7
r
ep
r
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t
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e
r
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o
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tain
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u
s
i
n
g
th
e
class
ical
ap
p
licatio
n
o
f
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r
w
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v
elet
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g
o
r
ith
m
at
t
h
r
ee
lev
els (
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e
v
el
1
,
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ev
el
2
an
d
L
e
v
el
3
)
.
Fig
u
r
e
4
.
Or
ig
in
al
i
m
a
g
es
Fig
u
r
e
5
.
C
o
m
p
r
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io
n
at
lev
e
l 1
u
s
in
g
clas
s
ical
al
g
o
r
ith
m
Fig
u
r
e
6
.
C
o
m
p
r
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io
n
at
lev
e
l 2
u
s
in
g
clas
s
ical
al
g
o
r
ith
m
Fig
u
r
e
7
.
C
o
m
p
r
ess
io
n
at
lev
e
l 3
u
s
in
g
clas
s
ical
al
g
o
r
ith
m
Evaluation Warning : The document was created with Spire.PDF for Python.
IJ
-
I
C
T
I
SS
N:
2252
-
8776
N
ew I
ma
g
e
C
o
mp
r
es
s
io
n
A
lg
o
r
ith
m
u
s
in
g
Ha
a
r
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a
ve
let
T
r
a
n
s
fo
r
m
(
R
.
E
l A
ya
ch
i
)
47
Fig
u
r
e
8
,
Fig
u
r
e
9
an
d
Fig
u
r
e
1
0
r
e
p
r
esen
t
s
th
e
r
es
u
lts
o
b
tain
ed
u
s
in
g
th
e
p
r
o
p
o
s
ed
alg
o
r
ith
m
o
f
Haa
r
w
a
v
elet
at
t
h
r
ee
lev
els (
L
e
v
el
1
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L
ev
e
l 2
an
d
L
e
v
el
3
)
.
Fig
u
r
e
8
.
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o
m
p
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ess
io
n
at
lev
e
l 1
u
s
in
g
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r
o
p
o
s
ed
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o
r
ith
m
Fig
u
r
e
9
.
C
o
m
p
r
ess
io
n
at
lev
e
l 2
u
s
in
g
p
r
o
p
o
s
ed
alg
o
r
ith
m
Fig
u
r
e
1
0
.
C
o
m
p
r
ess
io
n
at
le
v
el
3
u
s
in
g
p
r
o
p
o
s
ed
alg
o
r
ith
m
Af
ter
n
o
ticin
g
t
h
e
s
i
m
ilar
it
y
o
f
co
m
p
r
es
s
io
n
r
es
u
lt
s
f
o
r
b
o
th
alg
o
r
ith
m
s
(
class
ical
an
d
p
r
o
p
o
s
ed
)
,
w
e
ca
lcu
l
ate
t
h
e
co
m
p
le
x
it
y
in
o
r
d
er
to
d
ete
r
m
i
n
e
t
h
e
in
f
l
u
e
n
ce
o
f
i
m
p
r
o
v
e
m
en
ts
m
ad
e.
T
ab
le
1
s
h
o
w
s
t
h
e
e
x
ec
u
tio
n
t
i
m
e
r
eq
u
ir
ed
to
co
m
p
u
te
t
h
e
c
o
m
p
r
es
s
ed
i
m
ag
e
at
th
r
ee
lev
els
(
L
ev
e
l
1
,
L
ev
el
2
an
d
L
e
v
el
3
)
f
o
r
b
o
th
alg
o
r
it
h
m
s
.
T
ab
le
1
.
E
x
ec
u
tio
n
ti
m
e
H
a
a
r
w
a
v
e
l
e
t
a
l
g
o
r
i
t
h
m
Ex
e
c
u
t
i
o
n
t
i
me
(
s)
L
e
v
e
l
1
L
e
v
e
l
2
L
e
v
e
l
3
C
l
a
ssi
c
a
l
0
.
4
1
0
1
0
.
5
8
6
7
0
.
8
6
7
5
I
mp
r
o
v
e
me
n
t
0
.
3
8
6
0
0
.
4
1
2
2
0
.
5
5
5
6
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
2
5
2
-
8776
IJ
-
I
C
T
Vo
l.
6
,
No
.
1
,
A
p
r
il
20
1
7
:
43
~
4
8
48
Fro
m
T
ab
le
1
,
it is
clea
r
th
at
t
h
e
p
er
f
o
r
m
a
n
ce
o
f
th
e
i
m
p
r
o
v
ed
alg
o
r
ith
m
ti
m
e
i
s
les
s
s
tr
ict
l
y
to
th
e
ex
ec
u
t
io
n
ti
m
e
o
f
t
h
e
clas
s
ical
alg
o
r
ith
m
f
o
r
t
h
e
th
r
ee
le
v
els.
T
ab
le
2
r
ep
r
esen
ts
th
e
n
u
m
b
er
o
f
in
s
tr
u
c
tio
n
s
u
s
i
n
g
to
ca
lc
u
l
ate
th
e
co
m
p
r
es
s
ed
i
m
ag
e
a
t t
h
r
ee
lev
el
s
(
L
ev
el
1
,
L
e
v
el
2
a
n
d
L
e
v
el
3
)
f
o
r
b
o
th
alg
o
r
ith
m
s
.
Fo
r
t
h
is
ca
s
e,
t
h
e
n
u
m
b
er
o
f
i
n
s
tr
u
ctio
n
s
co
n
ce
r
n
in
g
cal
cu
latio
n
o
f
t
h
e
Haa
r
w
a
v
ele
t c
o
ef
f
icie
n
t
s
is
n
o
t c
o
u
n
ted
.
T
ab
le
2
.
Nu
m
b
er
o
f
in
s
tr
u
ctio
n
s
H
a
a
r
w
a
v
e
l
e
t
a
l
g
o
r
i
t
h
m
N
u
mb
e
r
o
f
i
n
st
r
u
c
t
i
o
n
s
L
e
v
e
l
1
L
e
v
e
l
2
L
e
v
e
l
3
C
l
a
ssi
c
a
l
2
×
(
N
3
×
(
N
-
1
)
)
(
2
×
(
N
3
×
(
N
-
1
)
)
)
×
2
(
2
×
(
N
3
×
(
N
-
1
)
)
)
×
3
I
mp
r
o
v
e
me
n
t
2
×
(
N
3
×
(
N
-
1
)
)
2
×
(
N
3
×
(
N
-
1
)
)
2
×
(
N
3
×
(
N
-
1
)
)
5.
CO
NCLU
SI
O
N
I
m
ag
e
co
m
p
r
es
s
io
n
b
ec
o
m
es
a
cr
u
cial
f
ield
o
f
i
m
a
g
e
tr
ea
t
m
en
t.
I
n
th
is
p
ap
er
,
w
e
p
r
o
p
o
s
ed
a
n
e
w
co
m
p
r
es
s
io
n
ap
p
r
o
ac
h
b
ased
o
n
t
h
e
Haa
r
w
av
ele
ts
a
n
d
co
n
tr
o
lled
b
y
a
co
e
f
f
icien
t.
T
h
is
n
e
w
m
et
h
o
d
allo
w
s
to
co
m
p
u
te
th
e
co
m
p
r
es
s
ed
i
m
ag
e
at
d
esire
d
lev
e
l
f
r
o
m
th
e
o
r
i
g
in
al
i
m
a
g
e
o
n
l
y
.
I
n
th
is
ca
s
e,
th
e
co
m
p
u
tatio
n
al
co
m
p
lex
it
y
ar
e
r
ed
u
ce
d
b
ec
au
s
e
th
e
in
ter
m
ed
iate
lev
el
s
ar
e
ig
n
o
r
ed
in
th
e
co
m
p
r
es
s
io
n
p
r
o
ce
s
s
.
RE
F
E
R
E
NC
E
S
[1
]
D.
S
a
lo
m
o
n
,
“
Da
ta Co
m
p
re
ss
io
n
:
T
h
e
Co
m
p
lete
Re
f
e
re
n
c
e
,
”
S
p
rin
g
e
r
.
2
0
0
4
.
[2
]
E.
Ch
rist
o
p
h
e
;
C.
T
h
ieb
a
u
t;
W
.
A
.
P
e
a
rlm
a
n
;
C.
L
a
tr
y
;
D.
L
e
b
e
d
e
ff
,
“
Zero
tree
-
b
a
se
d
Co
m
p
re
ss
io
n
A
lg
o
rit
h
m
f
o
r
S
p
a
c
e
b
o
rn
e
Hy
p
e
rsp
e
c
tral
S
e
n
so
r
,
”
On
-
Bo
a
rd
P
a
y
lo
a
d
Da
ta Co
m
p
r
e
ss
io
n
W
o
rk
sh
o
p
–
OB
P
DC
.
2
0
0
8
.
[3
]
G
a
u
ra
v
V
ij
a
y
v
a
rg
i
y
a
;
S
a
n
ja
y
S
il
a
k
a
ri;
Ra
j
e
e
v
P
a
n
d
e
y
,
“
A
S
u
rv
e
y
:
V
a
rio
u
s
T
e
c
h
n
iq
u
e
s
o
f
I
m
a
g
e
Co
m
p
re
ss
io
n
,
”
In
tern
a
ti
o
n
a
l
Jo
u
rn
a
l
o
f
Co
m
p
u
ter S
c
ien
c
e
a
n
d
I
n
f
o
rm
a
ti
o
n
S
e
c
u
rit
y
(IJCSIS
)
,
v
o
l.
1
1
,
n
o
.
1
0
,
2
0
1
3
.
[4
]
S
a
c
h
in
Dh
a
w
a
n
,
A
Re
v
ie
w
o
f
I
m
a
g
e
Co
m
p
re
ss
io
n
a
n
d
C
o
m
p
a
riso
n
o
f
it
s A
lg
o
rit
h
m
s.
IJECT
.
2
0
1
1
;
2
(1
)
.
[5
]
S
.
S
a
th
a
p
p
a
n
.
“
A
V
e
c
to
r
Qu
a
n
ti
z
a
ti
o
n
T
e
c
h
n
iq
u
e
f
o
r
Im
a
g
e
Co
m
p
re
ss
io
n
u
si
n
g
M
o
d
if
ied
F
u
z
z
y
P
o
ss
ib
il
isti
c
C
-
M
e
a
n
s
w
it
h
W
e
ig
h
ted
M
a
h
a
lan
o
b
is
Dista
n
c
e
,”
I
n
tern
a
ti
o
n
a
l
Jo
u
rn
a
l
o
f
In
n
o
v
a
ti
v
e
Re
se
a
rc
h
in
Co
m
p
u
ter
a
n
d
Co
m
m
u
n
ica
ti
o
n
E
n
g
in
e
e
rin
g
,
v
o
l
.
1
,
n
o
.
1
,
2
0
1
3
.
[6
]
A
.
M
.
Ra
id
;
W
.
M
.
Kh
e
d
r;
M
.
A
.
El
-
d
o
s
u
k
y
;
W
e
sa
m
A
h
m
e
d
,
“
Jp
e
g
Im
a
g
e
Co
m
p
re
ss
io
n
Us
in
g
Disc
re
te
Co
sin
e
T
ra
n
s
f
o
r
m
-
A
S
u
rv
e
y
.
In
tern
a
ti
o
n
a
l
Jo
u
r
n
a
l
o
f
Co
m
p
u
ter
S
c
ien
c
e
&
En
g
in
e
e
r
in
g
S
u
rv
e
y
(IJCSE
S
)
,
v
o
l.
5
,
n
o
.
2
,
2
0
1
4
.
[7
]
P
i
o
tr
P
o
rw
ik
;
Ag
n
ies
z
k
a
L
iso
w
s
k
a
,
“
T
h
e
Ha
a
r
–
W
a
v
e
let
T
ra
n
s
fo
rm
in
Di
g
it
a
l
I
m
a
g
e
P
ro
c
e
ss
in
g
:
Its
S
tatu
s
a
n
d
A
c
h
ie
v
e
m
e
n
ts,
”
M
a
c
h
in
e
G
ra
p
h
ics
&
V
isio
n
,
v
o
l.
1
3
,
n
o
.
1
/
2
,
p
p
.
79
-
98
,
2
0
0
4
.
[8
]
M
y
u
n
g
-
S
in
S
o
n
g
,
“
W
a
v
e
let
I
m
a
g
e
C
o
m
p
re
s
sio
n
,
M
a
t
h
e
m
a
ti
c
s S
u
b
jec
t
Clas
sif
ica
ti
o
n
,
”
P
rim
a
r
y
4
2
C4
0
.
1
9
9
1
.
[9
]
Ro
n
a
ld
A
.
De
V
o
re
;
Bjö
r
n
Ja
we
rth
;
Bra
d
ley
J.
L
u
c
ier
,
“
I
m
a
g
e
Co
m
p
re
ss
io
n
T
h
ro
u
g
h
W
a
v
e
let
T
ra
n
sf
o
r
m
Co
d
in
g
,”
IEE
E
T
ra
n
sa
c
ti
o
n
s On
I
n
f
o
rm
a
ti
o
n
T
h
e
o
ry
,
v
o
l.
3
8
,
n
o
.
2
,
1
9
9
2
.
[1
0
]
Ka
m
ru
l
Ha
sa
n
T
a
lu
k
d
e
r;
Ko
ich
i
Ha
ra
d
a
,
“
Ha
a
r
W
a
v
e
let
Ba
s
e
d
A
p
p
ro
a
c
h
f
o
r
I
m
a
g
e
Co
m
p
re
ss
i
o
n
a
n
d
Qu
a
li
ty
A
s
se
ss
m
e
n
t
o
f
Co
m
p
re
ss
e
d
I
m
a
g
e
,”
IA
EN
G
In
tern
a
ti
o
n
a
l
Jo
u
rn
a
l
o
f
A
p
p
li
e
d
M
a
th
e
m
a
ti
c
s
,
v
o
l.
3
6
,
n
o
.
1
,
2
0
0
7
.
[1
1
]
A
rik
a
tl
a
H
a
z
a
r
a
th
a
iah
;
B
P
ra
b
h
a
k
a
ra
Ra
o
,
“
M
e
d
ica
l
I
m
a
g
e
C
o
m
p
re
ss
io
n
u
sin
g
L
i
f
ti
n
g
b
a
se
d
Ne
w
Wav
e
l
e
t
T
ra
n
s
f
o
r
m
s,”
In
tern
a
ti
o
n
a
l
Jo
u
r
n
a
l
o
f
El
e
c
tri
c
a
l
a
n
d
Co
m
p
u
ter
En
g
in
e
e
rin
g
(IJECE)
,
v
o
l.
4
,
n
o
.
5
,
p
p
.
7
4
1
-
7
5
0
,
Oc
to
b
e
r
2
0
1
4
.
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