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[WM]: Why scaling? why mean & variance?
Hi friends.
I have implemented the following algorithm for my project.This alorithm =
is taken from Suraju Mohanty's Masters Thesis.(If the
special characters are not displayed properly i have attached the same =
algorithm)
i understood the whole algorithm except the statements
6 and 7. I didnt understand why we scale in the range
0.1 to 1.0 . I also didnt understand why we take mean and variance.
If any one has an explanation for it plz help me out.
Thanking you in advance
Visible Watermarking Algorithm
The steps for watermark insertion are discussed below:
1=95 The original image I (one to be watermarked) and
the watermark image W are divided into blocks of size 8*8. (both the =
images may not be of equal size).
2=95 For each block of the original image I the mean
gray value =B5n is computed.
3=95 The DCT for each block of the original image are
found.
4=95 The DCT of watermark image blocks are found out.
5=95 For AC DCT co-efficient of each original image
block, variance =F3n is found out.
6=95 The block means =B5n scaled to the range 0.1 to 1.0.
7=95 The log of the variance =F3n are scaled to the range
0.1 to 1.0.
8=95 The image mean =B5 is found out which the mean of
block means =B5n.
9=95 Let in denote the nth DCT block of original image
I, and wn denote the nth DCT block of watermark image W. Denoting the =
nth block of watermarked image by in=92, we have,
=09
` in=92 =3D =E1n .in + =E2n wn n =3D =
1,2,=85=85=85=85=85=20
eqn. (1)
The =E1n and =E2n are classified and Gaussian random numbers =
are added
where =E1n and =E2n are scaling and embedding
factors respectively for each block =20
computed as described. They are computed using eqn. (2) and =
eqn. (3).
(if required).
10=95 The IDCT of in=92 are found out which give the
watermarked image I=92.
11=95 Basing on the above discussion we propose the
following mathematical model.
=E1n =3D =E1max + (=F3n (=E1max =96 =E1min)/ =F3max) exp. =
(- (=B5n - =B5)2/2),
=20
=E2n =3D =E2min + (=F3min (=E2max =96 =E2min)/ =F3n)
[1 =96 exp (- (=B5n - =B5)2/2], =20
Where,
=E1min and =E1max are respectively minimum and maximum =
values of scaling factor,
=E2min and =E2max are respectively minimum
and maximum values of embedding =20
factor,
=B5n is normalized mean for each block,
=F3n is normalized variance of each DCT blocks,
=F3min and =F3max are respectively minimum and maximum =
values of DCT block=20
variances,
=B5 is the normalized image mean.
thanking you in advance
waiting.........
rajan
__________________________________________________
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