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slwt97r.m
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function coef=slwt97r(frame,level)
%slwt97r Spatial lifting 9/7 wavelet transform (real type)
%
%
% Example:
%
% coef=slwt97r(frame,level);
%
% frame(height, width)
%
% -----------------------------------------------------------------
% slwt97r.m Minoru Hiki. 06/06/13
[height width]=size(frame);
for i=1:level
hb=ceil(height/2^(i-1));
wb=ceil(width/2^(i-1));
frame(1:hb,1:wb)=trx(frame(1:hb,1:wb));
end;
coef=frame;
function coef=trx(frame)
ALPHA = -1.586134342059924;
BETA = -0.052980118572961;
GAMMA = 0.882911075530934;
DELTA = 0.443506852043971;
K = 1.230174104914001;
[height width]=size(frame);
frame=double(frame);
% horizontal
% 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;
% update 0
frame(:,1)=frame(:,1)+BETA*(frame(:,2)*2);
if(rem(width,2)==0)
frame(:,3:2:width-1)=frame(:,3:2:width-1)+...
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 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 1
frame(:,1)=frame(:,1)+DELTA*(frame(:,2)*2);
if(rem(width,2)==0)
frame(:,3:2:width-1)=frame(:,3:2:width-1)+...
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;
% K factor
frame(:,1:2:width)=frame(:,1:2:width)/K;
frame(:,2:2:width)=frame(:,2:2:width)*K;
% vertical
% 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;
% update 0
frame(1,:)=frame(1,:)+BETA*(frame(2,:)*2);
if(rem(height,2)==0)
frame(3:2:height-1,:)=frame(3:2:height-1,:)+...
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 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 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;
% K factor
frame(1:2:height,:)=frame(1:2:height,:)/K;
frame(2:2:height,:)=frame(2:2:height,:)*K;
hb=round(height/2);
wb=round(width/2);
coef(1:hb,1:wb)=frame(1:2:height,1:2:width);
coef(1:hb,wb+1:width)=frame(1:2:height,2:2:width);
coef(hb+1:height,1:wb)=frame(2:2:height,1:2:width);
coef(hb+1:height,wb+1:width)=frame(2:2:height,2:2:width);