📄 decomp_reconst_wu.m
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function fh = decomp_reconst_WU(im,Nsc,daub_order,block,noise,parent,covariance,optim,sig);
% Decompose image into subbands (undecimated wavelet), denoise, and recompose again.
% fh = decomp_reconst_wavelet(im,Nsc,daub_order,block,noise,parent,covariance,optim,sig);
% im : image
% Nsc: Number of scales
% daub_order: Order of the daubechie fucntion used (must be even).
% block: size of neighborhood within each undecimated subband.
% noise: image having the same autocorrelation as the noise (e.g., a delta, for white noise)
% parent: are we including the coefficient at the central location at the next coarser scale?
% covariance: are we considering covariance or just variance?
% optim: for choosing between BLS-GSM (optim = 1) and MAP-GSM (optim = 0)
% sig: standard deviation (scalar for uniform noise or matrix for spatially varying noise)
% Javier Portilla, Univ. de Granada, 3/03
% Revised: 11/04
if (block(1)/2==floor(block(1)/2))|(block(2)/2==floor(block(2)/2)),
error('Spatial dimensions of neighborhood must be odd!');
end
if ~exist('parent'),
parent = 1;
end
if ~exist('covariance'),
covariance = 1;
end
if ~exist('optim'),
optim = 1;
end
if ~exist('sig'),
sig = sqrt(mean(noise.^2));
end
Nor = 3; % Number of orientations: vertical, horizontal and (mixed) diagonals.
[pyr,pind] = buildWUpyr(im,Nsc,daub_order);
[pyrN,pind] = buildWUpyr(noise,Nsc,daub_order);
pyrh = real(pyr);
Nband = size(pind,1)-1;
for nband = 2:Nband, % everything except the low-pass residual
fprintf('%d % ',round(100*(nband-1)/(Nband-1)))
aux = pyrBand(pyr, pind, nband);
auxn = pyrBand(pyrN, pind, nband);
[Nsy, Nsx] = size(aux);
prnt = parent & (nband < Nband-Nor); % has the subband a parent?
BL = zeros(size(aux,1),size(aux,2),1 + prnt);
BLn = zeros(size(aux,1),size(aux,2),1 + prnt);
BL(:,:,1) = aux;
BLn(:,:,1) = auxn*sqrt(((Nsy-2)*(Nsx-2))/(Nsy*Nsx)); % because we are discarding 2 coefficients on every dimension
if prnt,
aux = pyrBand(pyr, pind, nband+Nor);
auxn = pyrBand(pyrN, pind, nband+Nor);
if nband>Nor+1, % resample 2x2 the parent if not in the high-pass oriented subbands.
aux = real(expand(aux,2));
auxn = real(expand(auxn,2));
end
BL(:,:,2) = aux;
BLn(:,:,2) = auxn*sqrt(((Nsy-2)*(Nsx-2))/(Nsy*Nsx)); % because we are discarding 2 coefficients on every dimension
end
sy2 = mean2(BL(:,:,1).^2);
sn2 = mean2(BLn(:,:,1).^2);
if sy2>sn2,
SNRin = 10*log10((sy2-sn2)/sn2);
else
disp('Signal is not detectable in noisy subband');
end
% main
BL = denoi_BLS_GSM_band(BL,block,BLn,prnt,covariance,optim,sig);
pyrh(pyrBandIndices(pind,nband)) = BL(:)';
end
save('cc.mat');
fh = reconWUpyr(pyrh,pind,daub_order);
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