📄 vdlfig04.m
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% vdlfig04 -- 95% wavelet/dct compression curves for Ingrid Daubechies
%
% Compression curves plot l^2 reconstruction error versus the number of
% coefficients used in the reconstruction. Here we illustrate an image of
% Ingrid Daubechies, part of WaveLab's standard dataset distribution, and
% the compression curves for both Wavelets and DCT. They provide a formal
% way to illustrate the compressibility of different transforms.
%
ingrid = ReadImage('Daubechies');
%
subplot(211);
GrayImage(ingrid,256);
title('Figure 4(a): Ingrid Daubechies');
%
qmf = MakeONFilter('Coiflet',2);
wingrid = FWT2_PO(ingrid,3,qmf);
wcsort = sort(abs(wingrid(:)));
wcerr = cumsum(wcsort.^2);
wcerr = flipud(wcerr);
%
fingrid = dct2_iv(ingrid);
fcsort = sort(abs(fingrid(:)));
fcerr = cumsum(fcsort.^2);
fcerr = flipud(fcerr);
%
front = 1:5537;
ymax = fcerr(1);
txt1 = log10(ymax)-1;
txt2 = log10(ymax)-1.5;
%
subplot(212);
semilogy(fcerr(front),'y--'); hold
semilogy(wcerr(front),'r-');
xlabel('Number of Coefficients Retained'); ylabel('sum(error^2)')
title('Figure 4(b): Wavelet Compression vs. DCT Compression on Ingrid')
h = text(4000,10^txt1,'DCT --'); set(h,'Color','Yellow');
h = text(4000,10^txt2,'DWT -'); set(h,'Color','Red');
hold off;
%
% Copyright (c) 1995, Jonathan Buckheit.
% Prepared for ``WaveLab and Reproducible Research''
% for XV Recontres Franco-Belges symposium proceedings.
%
%% 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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