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% scfig12 -- Short Course 12: DeNoising a 2-d object
%
% Here we display the image of Ingrid Daubechies, a noisy version of same
% and noisy and de-noised closeups.
%
% The de-noising was accomplished by
%
% 1. Transforming to the wavelet domain (Coiflets with 3 vanishing moments)
% 2. Applying a threshold at 2 standard deviations
% 3. Returning to the signal domain.
%
Ingrid = ReadImage('Daubechies');
NoisyIngrid = Ingrid + 5*WhiteNoise(Ingrid);
%
CoifQMF = MakeONFilter('Coiflet',3);
wc_Noisy = FWT2_PO(NoisyIngrid,3,CoifQMF);
Coarse = wc_Noisy(1:8,1:8);
thr = 10;
Thr_wc_Noisy = SoftThresh(wc_Noisy,thr);
Thr_wc_Noisy(1:8,1:8) = Coarse;
CleanIngrid = IWT2_PO(Thr_wc_Noisy,3,CoifQMF);
%
subplot(221); GrayImage(Ingrid);
title('Ingrid Daubechies');
%
subplot(222); GrayImage(Ingrid); axis([110 160 110 160]);
title('Closeup');
%
subplot(223); GrayImage(NoisyIngrid); axis([110 160 110 160]);
title('Noisy (closeup)');
%
subplot(224); GrayImage(CleanIngrid); axis([110 160 110 160]);
title('De-Noised (closeup)');
%% Part of Wavelab Version 850% Built Tue Jan 3 13:20:42 EST 2006% This is Copyrighted Material% For Copying permissions see COPYING.m% Comments? e-mail wavelab@stat.stanford.edu
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