Skip to Main Content
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
i
i
i
i
i
i
i
i
140 7 Directional Wavelet Transform
taken as a linear combination of the even polyphase samples identified by the arrows
in Figure 7.1, specifically
P
e
(m,n) =
i
α
i
x
e
(m + sign(i 1)tanθ
v
,n + i), (7.3)
where sign(x) is 1 for x 0 and -1 otherwise. The weight α
i
are given by the filter
taps. Note that x
e
(m+sign(i 1)tanθ
v
,n + i) is not necessarily sampled at an integer
position. The corresponding finite impulse response function in z domain is
P(z
1
,z
2
) =
b
i=a
α
i
z
sign(i1)tan θ
v
i
z
i
2
. (7.4)
Here, the indexes a and b delimit the finite support of the FIR wavelet filter. Since the
prediction is still calculated from the even polyphase samples, if the angle is known,
the ADL can still perfectly reconstruct the odd polyphase samples with Eq. (7.2).
In the updating ...
Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.
Start your free trial

You might also like

The Magic of Computer Graphics

The Magic of Computer Graphics

Noriko Kurachi

Publisher Resources

ISBN: 9781482234138