📄 dct2_recover_mod.m
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%Name: Chris Shoemaker
%Course: EER-280 - Digital Watermarking
%Project: Comparison-Based Correlation in DCT mid-band
% Uses two PN sequences; one for a "0" and another for a "1"
% Watermark Recovery
clear all;
% save start time
start_time=cputime;
blocksize=8; % set the dct blocksize
pn_sequence_search='T'; % perform search to find highly uncorrelated pn sequences {T,F}
midband=[ 0,0,0,1,1,1,1,0; % defines the mid-band frequencies of an 8x8 dct
0,0,1,1,1,1,0,0;
0,1,1,1,1,0,0,0;
1,1,1,1,0,0,0,0;
1,1,1,0,0,0,0,0;
1,1,0,0,0,0,0,0;
1,0,0,0,0,0,0,0;
0,0,0,0,0,0,0,0 ];
% read in the watermarked object
file_name='dct2_watermarked_mod.bmp';
watermarked_image=double(imread(file_name));
% determine size of watermarked image
Mw=size(watermarked_image,1); %Height
Nw=size(watermarked_image,2); %Width
% determine maximum message size based on cover object, and blocksize
max_message=Mw*Nw/(blocksize^2);
% read in original watermark
file_name='_copyright.bmp';
orig_watermark=double(imread(file_name));
% determine size of original watermark
Mo=size(orig_watermark,1); %Height
No=size(orig_watermark,2); %Width
% read in key for PN generator
file_name='_key.bmp';
key=double(imread(file_name))./256;
% reset MATLAB's PN generator to state "key"
rand('state',key);
% generate PN sequences for "1" and "0"
pn_sequence_one=round(2*(rand(1,sum(sum(midband)))-0.5));
pn_sequence_zero=round(2*(rand(1,sum(sum(midband)))-0.5));
% find two highly un-correlated PN sequences
if (pn_sequence_search=='T')
while (corr2(pn_sequence_one,pn_sequence_zero) > -0.55)
pn_sequence_one=round(2*(rand(1,sum(sum(midband)))-0.5));
pn_sequence_zero=round(2*(rand(1,sum(sum(midband)))-0.5));
end
end
% process the image in blocks
x=1;
y=1;
for (kk = 1:max_message)
% transform block using DCT
dct_block=dct2(watermarked_image(y:y+blocksize-1,x:x+blocksize-1));
% extract the middle band coeffcients
ll=1;
for ii=1:blocksize
for jj=1:blocksize
if (midband(jj,ii)==1)
sequence(ll)=dct_block(jj,ii);
ll=ll+1;
end
end
end
% calculate the correlation of the middle band sequence with pn_sequences
% and choose the value with the higher correlation for message
cor_one(kk)=corr2(pn_sequence_one,sequence);
cor_zero(kk)=corr2(pn_sequence_zero,sequence);
if cor_zero(kk) > cor_one(kk)
message_vector(kk)=0;
else
message_vector(kk)=1;
end
% move on to next block. At and of row move to next row
if (x+blocksize) >= Nw
x=1;
y=y+blocksize;
else
x=x+blocksize;
end
end
% reshape the embeded message
message=reshape(message_vector(1:Mo*No),Mo,No);
% display processing time
elapsed_time=cputime-start_time,
% display recovered message
figure(2)
imshow(message,[])
title('Recovered Message')
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