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[WM]: Query regarding AC DCT and DC DCT coefficients=20



Hello,

I am a beginner at watermarking
This is regarding Saraju's paper=20
A DCT Domain Visible Watermarking Technique for Images=20

I am trying implementing the algo in MATLAB=20
However, I am getting some weird result .. in the final image.=20

Please find attached my code file 'watermark.m'

1. Here, I am calculating the dct of the whole block using the =
predefined MATLAB function  dct2
=20
 But, with it how do I 'refer' to DC DCT coefficients and AC DCT =
coefficients... ?


 2. Also. in equation no 6,
  variance =3D (1/64) SS (Cij  - =B5 )  =20
=20
 instead of 1/64 should it not be 1/63 (since DC DCT component is =
excluded.. ?
=20
 Also, to calculate the same, values of i and j will be from 1 to 8 ?
 and then finally deducting the value C_1_1 (i=3D1, j=3D1) that is ,the =
DC DCT coeff .. ?
=20
 (Here I need to knw, how to get this DC DCT component when I am using =
predefined matlab function dct2 )
=20
=20
=20
 Please, also find attached the original image (I) as lena.jpg  (512*512 =
image)
=20
 and the watermark image (W) as watermark.jpg  (512*512 image)

Thanking You

Regards
Pallavi Bansal

Pallavi Bansal
IPG VI
IIITM Gwalior

**What else do you need, when you have GOD with you **
      =20
---------------------------------
 Get the freedom to save as many mails as you wish. Click here to know =
how.
--0-1628422414-1184162183=3D:59580
Content-Type: text/html; charset=3Diso-8859-1
Content-Transfer-Encoding: 8bit

<span>Hello,<br></span><br>I am a beginner at watermarking<br><span>This =
is regarding Saraju's paper <br><span style=3D"font-style:
italic;">A DCT Domain Visible Watermarking Technique for Images =
</span><br><br>I am trying implementing the algo in MATLAB
<br>However, I am getting some weird result .. in the final image. =
<br><br>Please find attached my code file '<span
style=3D"font-style: italic;">watermark.m</span>'<br><br>1. Here, I am =
calculating the dct of the whole block using the predefined
MATLAB function  <span style=3D"font-style: italic;">dct2<br> <br> =
</span>But, with it how do I 'refer' to DC DCT coefficients and AC
DCT coefficients... ?<br><br><br> 2. Also. in equation no 6,<br> =
&nbsp;variance =3D (1/64) SS (Cij&nbsp; - =B5 )&nbsp;&nbsp; <br> <br>
instead of 1/64 should it not be 1/63 (since DC DCT component is =
excluded.. ?<br> <br> Also, to calculate the same, values of i and
j will be from 1 to 8 ?<br> and then finally deducting the value C_1_1 =
(i=3D1, j=3D1) that is ,the
 DC DCT coeff .. ?<br> <br> (Here I need to knw, how to get this DC DCT =
component when I am using predefined matlab function <span
style=3D"font-style: italic;">dct2 )<br> <span style=3D"font-style: =
italic;"><br> <br> <br> </span>Please, also find attached the
original image (I) as lena.jpg&nbsp; (512*512 image)<br> <br> and the =
watermark image (W) as watermark.jpg&nbsp; </span><span
style=3D"font-style: italic;">(512*512 image)<br><br></span>Thanking =
You<br><br>Regards<br>Pallavi Bansal</span><BR><BR>Pallavi
Bansal<br>IPG VI<br>IIITM Gwalior<br><br>**What else do you need, when =
you have GOD with you **<p>&#32;


      <!--5--><hr size=3D1></hr> Get the freedom to save as many mails =
as you wish. <a
href=3D"http://in.rd.yahoo.com/tagline_mail_5/*http://help.yahoo.com/l/in=
/yahoo/mail/yahoomail/tools/tools-08.html/">Click here to
know how.</a>
--0-1628422414-1184162183=3D:59580--
--0-1428883602-1184162183=3D:59580
Content-Type: text/plain; name=3D"watermark.m"
Content-Description: 2117554430-watermark.m
Content-Disposition: inline; filename=3D"watermark.m"

I=3Dimread('lena.jpg'); %Get the input image
W=3Dimread('watermark.jpg');%watermark image
I=3Drgb2gray(I);      %Convert to grayscale image
W=3Drgb2gray(W);
I=3Dim2double(I);
W=3Dim2double(W);
figure,imshow(I),title('Original Image');
[p q] =3D size(I);

figure,imshow(W),title('Watermark Image');
[r s] =3D size(W);
n1=3Dp*q/64; %no of blocks in original image
n2=3Dr*s/64; %no of blocks in watermark image
l=3Dp/8;
m=3Dq/8;

%Divide the images I and W into 8*8 blocks

c=3D0;
    for b=3D1:m
     for a=3D1:l
      for j=3D1:8
       for k=3D1:8
        Block(a+l*c).X1(j,k)=3DI(j+8*(a-1),k+8*(b-1));
       end
      end
     end
     c =3D c+1;
    end

    =20
l=3Dr/8;
m=3Ds/8;
c=3D0;
 for b=3D1:m
  for a=3D1:l
   for j=3D1:8
    for k=3D1:8
     Block(a+l*c).Y1(j,k)=3DW(j+8*(a-1),k+8*(b-1));
    end
   end
  end
 c =3D c+1;
 end

=20
 % Calculate DCT coefficients for both images

 for i=3D1:n1 =20
     Block(i).X2=3Ddct2(Block(i).X1);
 end
=20

 for i=3D1:n2
     Block(i).Y2=3Ddct2(Block(i).Y1);
 end

 =20
 % Calculate Normalized mean grey value (nmgv) for each Block of image I

 MaxVal =3D Block(1).X1(1,1);  %Assign Maximum value to first block, =
first pixel that is the DC DCT coefficient

for i=3D2:n1
  if(Block(i).X1(1,1)>MaxVal)
      MaxVal =3D Block(i).X1(1,1);
  end      =20
end

%Normalized Mean Gray value os calculated for each block (using eq 4 of =
the
%paper)
for i =3D 1:n1
    Block(i).Norm =3D Block(i).X1(1,1) / MaxVal;
end

Sum =3D 0;

for i =3D 1:n1
   Sum =3D Sum + Block(i).X1(1,1);
end

nmgv =3D Sum / n1; %nmgv stores the normalized image mean gray value (eq =
5)

%Calculate Normalized variance for each block of I
Sum =3D 0;

for i =3D 1:n1
    Sum =3D Sum + Block(i).X2;
end

MeanDct =3D Sum/n1;

for i =3D 1:n1
    Block(i).VarDct =3D ((Block(i).X2 - MeanDct)* (Block(i).X2 - =
MeanDct))/64 ;
    Block(i).LogVarDct =3D log(Block(i).VarDct) ;
end

MaxVar =3D Block(1).LogVarDct;

for i =3D 1:n1
     if (Block(i).LogVarDct > MaxVar)
          MaxVar =3D Block(i).LogVarDct ;
     end
end

for i =3D 1:n1
    Block(i).NorVar =3D Block(i).LogVarDct/MaxVar;
end

%Identification of Edge Blocks using Sobel method

BW =3D edge(I,'sobel');
figure,imshow(BW);
       =20
c =3D 1;

% Calculating Scale Factor and Embedding Factor of each block
for i =3D1:n1
     Block(i).ScaleFact =3D Block(i).LogVarDct * exp ( - ((Block(i).Norm =
- nmgv)*(Block(i).Norm - nmgv)));
end

for i =3D1:n1
    a=3Dexp ( - ((Block(i).Norm - nmgv)*(Block(i).Norm - nmgv)));
    y=3D1-a;
    z=3DBlock(i).LogVarDct.^(-1);
     Block(i).EmbedFact =3D y*z;
end

%Find maximum value of scaling factor
MaxScaleFact =3D Block(1).ScaleFact;

for i =3D 1:n1
    if (MaxScaleFact < Block(i).ScaleFact)
     MaxScaleFact =3D Block(i).ScaleFact;
    end
end

%Find Minimum value of embedding factor
MinEmbedFact =3D Block(1).EmbedFact;

for i =3D 1:n1
    if(MinEmbedFact > Block(i).EmbedFact)
        MinEmbedFact =3D Block(i).EmbedFact;
    end
end

%Divide the egde image (BW) into 8*8 blocks ( to identify the edge =
blocks)
l=3Dp/8;
m=3Dq/8;
c=3D0;

for b=3D1:m
   for a=3D1:l
      for j=3D1:8
       for k=3D1:8
        Block(a+l*c).X5(j,k)=3DBW(j+8*(a-1),k+8*(b-1));
       end
      end
     end
     c =3D c+1;
    end
  =20

  % Assign previously calculated Scaling factors and Embedding Factors =
for each block
    for i =3D 1:n
        for j =3D 1:8
            for k =3D 1:8
                if (Block(i).X5(j,k) =3D=3D 1) %since the image is =
binary, the gray value will be one for the edge block and zero
otherwise
                    Block(i).ScaleFact =3D MaxScaleFact ;=20
                    Block(i).EmbedFact =3D MinEmbedFact;
                  =20
                else
                    Block(i).ScaleFact =3D Block(i).LogVarDct * exp ( - =
((Block(i).Norm - nmgv)*(Block(i).Norm - nmgv)));
                    a=3Dexp ( - ((Block(i).Norm - nmgv)*(Block(i).Norm - =
nmgv)));
                    y=3D1-a;
                    z=3DBlock(i).LogVarDct^(-1);
                    Block(i).EmbedFact =3D y*z;=20
                   =20
                end
            end
        end
    end

%Calculate DCT coefficients of the watermarked image

for i=3D1:n1
    Block(i).NewDct =3D Block(i).ScaleFact*Block(i).X2 + =
Block(i).EmbedFact*Block(i).Y2;
    %disp(Block(i).NewDct);
end

%Calculate Inverse DCT of watermarked image
for i=3D1:n1
    Block(i).X3=3Didct2(Block(i).NewDct);
end  =20

%Unite the image (Reverse of division)

c=3D0;
l=3Dp/8;
m=3Dq/8;
for b=3D1:m
    for a=3D1:l
      for j=3D1:8
       for k=3D1:8
        Wimg(j+8*(a-1),k+8*(b-1))=3DBlock(a+l*c).X3(j,k);
       end
      end
     end
     c =3D c+1;
end

figure,imshow(Wimg),title('watermarked Image');

--0-1428883602-1184162183=3D:59580
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Content-Transfer-Encoding: base64
Content-Description: 2267428681-watermark.jpg
Content-Disposition: inline; filename=3D"watermark.jpg"

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