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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
28 Image and Video Compression
where
xy
uv
(,)
,
*
U
represents the inverse transformation kernel. Thus, we can rep-
resent an image as a series combination of the unitary matrices. Equations (3.4)
and (3.5) are called a transform pair. Like the 1D signals, if the image is recon-
structed using the nite coefcients then the reconstruction error is as follows:
IxyIxy{(,) (,)}
xy
N
xy
N
2
,0
1
,0
1
2
∑∑
εε
=−
=
=
(3.6)
This error can be minimized if
xy
uv
{(,)}
,
U
is complete, and it represents the
set of orthonormal basis functions. As seen earlier, one of the important
properties of orthonormal transform is that the inverse of the transform
matrix is simply its conjugate transpose. Orthonormal transforms are
energy-preserving ones; energy in the native domain i ...
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Publisher Resources

ISBN: 9781482228229