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transform coding...decorrealtion...

Started by k_2002_m September 23, 2002
everybody knows that in transform coding the image to be coded is at
first converted in the transform domain.this transformation has two
effects.first,compression and second,decorrelation.

can anybody explain to me very precisely how this decorrelation helps
anyway (preferably, from 'image coding' point of view)?



Decorrelation is analytically the same operation as the KLT. In fact KLT can be
explained or derived using two approaches: 1. decorrelation, 2. energy
compaction. If you start deriving KLT with the motivation of obtaining a
transform which produces K out of M samples with most energy stored in the K
samples, and if you do this for all K from 1 to M, you come up with the optimal
transform; and at the same time you see that this transform is the one that
decorrelates the data. The above derivation of KLT is more likely to be found in
pattern recognition texts where they try to obtain the smallest representation
of the data (the feature vector) with the most amount of information.

So, if the intuitive link between decorrelation and compression (which is
directly related to compaction in representation) is not clear for you, I can
recommend the above analytical point of view.

Omer
----- Original Message -----
From: k_2002_m
To:
Sent: Monday, September 23, 2002 3:20 PM
Subject: [imagedsp] transform coding...decorrealtion... everybody knows that in transform coding the image to be coded is at
first converted in the transform domain.this transformation has two
effects.first,compression and second,decorrelation.

can anybody explain to me very precisely how this decorrelation helps
anyway (preferably, from 'image coding' point of view)?

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decorrelation means that the correlation between the
valuesin the transformed domain is reduced or may be
made zero.
this i think will reduce the no. of bits required to
code the image i.e there is no redundancy in the
details and so fewer coefficients arise.
bye nitthilan
--- k_2002_m <> wrote:
> everybody knows that in transform coding the image
> to be coded is at
> first converted in the transform domain.this
> transformation has two
> effects.first,compression and second,decorrelation.
>
> can anybody explain to me very precisely how this
> decorrelation helps
> anyway (preferably, from 'image coding' point of
> view)? >