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Image and Video Compression
book

Image and Video Compression

by Madhuri A. Joshi, Mehul S. Raval, Yogesh H. Dandawate, Kalyani R. Joshi, Shilpa P. Metkar
November 2014
Intermediate to advanced content levelIntermediate to advanced
236 pages
7h 4m
English
CRC Press
Content preview from Image and Video Compression
66 Image and Video Compression
Here, a = 2
k
dilation takes place for the discrete values; and d(k,l) is the
wavelet transform of f(t) at
=a
k
2,
= 2bl
k
. This is equivalent to sampling the
coordinates (a,b) at the intervals differing by a factor of two. Such sampling
is known as dyadic sampling, and d(k,l), a two-dimensional sequence, is
referred to as the discrete wavelet transform (DWT) of f(t).
4.6.1 Wavelet Transform—Multiresolution Analysis
An N-dimensional data sequence X
n
can be considered as an N-dimensional
vector in N-dimensional space V
n
. If we represent the same vector using the
N − 1 dimensional subspace we get an approximation of the signal X
n–1
(i.e.,
we are representing the signal with lower resolution). The error between the
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Publisher Resources

ISBN: 9781482228229