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silwt97r.m
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silwt97r.m
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function frame=silwt97r(coef,level)
%silwt97r Spatial inverse lifting 9x7 wavelet transform (real type)
%
%
% Example:
%
% frame=silwt97r(coef, 5);
%
%
% -----------------------------------------------------------------
% silwt97r.m Minoru Hiki. 06/06/13
[height width]=size(coef);
for i=1:level
hb=ceil(height/2^(level-i));
wb=ceil(width/2^(level-i));
coef(1:hb,1:wb)=trx(coef(1:hb,1:wb));
end
frame=coef;
function frame=trx(coef)
ALPHA = -1.586134342059924;
BETA = -0.052980118572961;
GAMMA = 0.882911075530934;
DELTA = 0.443506852043971;
K = 1.230174104914001;
[height width]=size(coef);
hb=round(height/2);
wb=round(width/2);
frame(1:2:height,1:2:width)=coef(1:hb,1:wb);
frame(1:2:height,2:2:width)=coef(1:hb,wb+1:width);
frame(2:2:height,1:2:width)=coef(hb+1:height,1:wb);
frame(2:2:height,2:2:width)=coef(hb+1:height,wb+1:width);
% vertical
% K factor
frame(1:2:height,:)=frame(1:2:height,:)*K;
frame(2:2:height,:)=frame(2:2:height,:)/K;
% update 1
frame(1,:)=frame(1,:)-DELTA*(frame(2,:)*2);
if(rem(height,2)==0)
frame(3:2:height-1,:)=frame(3:2:height-1,:)-...
DELTA*(frame(2:2:height-2,:)+frame(4:2:height,:));
else
frame(3:2:height-2,:)=frame(3:2:height-2,:)-...
DELTA*(frame(2:2:height-3,:)+frame(4:2:height-1,:));
frame(height,:)=frame(height,:)-...
DELTA*(frame(height-1,:)*2);
end
% predict 1
if(rem(height,2)==0)
frame(2:2:height-2,:)=frame(2:2:height-2,:)-...
GAMMA*(frame(1:2:height-3,:)+frame(3:2:height-1,:));
frame(height,:)=frame(height,:)-...
GAMMA*(frame(height-1,:)*2);
else
frame(2:2:height-1,:)=frame(2:2:height-1,:)-...
GAMMA*(frame(1:2:height-2,:)+frame(3:2:height,:));
end
% update 0
frame(1,:)=frame(1,:)-BETA*(frame(2,:)*2);
if(rem(height,2)==0)
frame(3:2:height,:)=frame(3:2:height,:)-...
BETA*(frame(2:2:height-2,:)+frame(4:2:height,:));
else
frame(3:2:height-2,:)=frame(3:2:height-2,:)-...
BETA*(frame(2:2:height-3,:)+frame(4:2:height-1,:));
frame(height,:)=frame(height,:)-...
BETA*(frame(height-1,:)*2);
end
% predict 0
if(rem(height,2)==0)
frame(2:2:height-2,:)=frame(2:2:height-2,:)-...
ALPHA*(frame(1:2:height-3,:)+frame(3:2:height-1,:));
frame(height,:)=frame(height,:)-...
ALPHA*(frame(height-1,:)*2);
else
frame(2:2:height-1,:)=frame(2:2:height-1,:)-...
ALPHA*(frame(1:2:height-2,:)+frame(3:2:height,:));
end
% horizontal
% K factor
frame(:,1:2:width)=frame(:,1:2:width)*K;
frame(:,2:2:width)=frame(:,2:2:width)/K;
% update 1
frame(:,1)=frame(:,1)-DELTA*(frame(:,2)*2);
if(rem(width,2)==0)
frame(:,3:2:width)=frame(:,3:2:width)-...
DELTA*(frame(:,2:2:width-2)+frame(:,4:2:width));
else
frame(:,3:2:width-2)=frame(:,3:2:width-2)-...
DELTA*(frame(:,2:2:width-3)+frame(:,4:2:width-1));
frame(:,width)=frame(:,width)-...
DELTA*(frame(:,width-1)*2);
end
% predict 1
if(rem(width,2)==0)
frame(:,2:2:width-2)=frame(:,2:2:width-2)-...
GAMMA*(frame(:,1:2:width-3)+frame(:,3:2:width-1));
frame(:,width)=frame(:,width)-...
GAMMA*(frame(:,width-1)*2);
else
frame(:,2:2:width-1)=frame(:,2:2:width-1)-...
GAMMA*(frame(:,1:2:width-2)+frame(:,3:2:width,:));
end
% update 0
frame(:,1)=frame(:,1)-BETA*(frame(:,2)*2);
if(rem(width,2)==0)
frame(:,3:2:width)=frame(:,3:2:width)-...
BETA*(frame(:,2:2:width-2)+frame(:,4:2:width));
else
frame(:,3:2:width-2)=frame(:,3:2:width-2)-...
BETA*(frame(:,2:2:width-3)+frame(:,4:2:width-1));
frame(:,width)=frame(:,width)-...
BETA*(frame(:,width-1)*2);
end
% predict 0
if(rem(width,2)==0)
frame(:,2:2:width-2)=frame(:,2:2:width-2)-...
ALPHA*(frame(:,1:2:width-3)+frame(:,3:2:width-1));
frame(:,width)=frame(:,width)-...
ALPHA*(frame(:,width-1)*2);
else
frame(:,2:2:width-1)=frame(:,2:2:width-1)-...
ALPHA*(frame(:,1:2:width-2)+frame(:,3:2:width,:));
end
frame=uint8(frame);