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Advances in Visual Data Compression and Communication
book

Advances in Visual Data Compression and Communication

by Feng Wu
July 2014
Intermediate to advanced content levelIntermediate to advanced
513 pages
16h 40m
English
Auerbach Publications
Content preview from Advances in Visual Data Compression and Communication
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178 9 Directional Filtering Transform
parameters related to the minor and major axes, respectively. The larger
α
is, the
faster the correlation orthogonal to the edge direction decays; while the smaller
β
is, the slower the correlation along the edge direction declines. By Fourier transform,
we get the PSD of ˜x as
˜
X
˜x ˜x
() =
2πσ
2
α
β
1 +
T
¯
Γ
3
2
, (9.12)
where = (
1
,
2
)
T
and
¯
Γ =
cosϕ sinϕ
sinϕ cosϕ

2
α
0
0
2
β

cosϕ sinϕ
sinϕ cosϕ
T
.
For the discrete signal x[t], its PSD is
X
xx
e
jω
=
B
i=B
B
j=B
˜
X
˜x ˜x
((ω
1
2iπ) f
1
,(ω
2
2 jπ) f
2
), (9.13)
where B is a band-limit parameter. f
1
and f
2
are the sampling frequencies in the
horizontal and vertical ...
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Publisher Resources

ISBN: 9781482234138