📄 mefig402.m
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% mefig402 -- Entropy Profiles for Object "Blocks"
%
% As described in the text, there is a fast algorithm for calculating
% the profile of the entropy drop between the unsegmented transform and
% all the different pixel-level segmentations. Here we display the
% result with object "Blocks". Evidently, the profile is rough. Its
% overall global minimum corresponds to a significant discontinuity in
% "Blocks", but not every discontinuity results in a visible minimum.
%
n = 1024
t = (0:(n-1)) ./n;
Blocks = MakeSignal('Blocks',n);
%
% Fast Multi-Resolution Filter Bank Output
%
L = 4; D = 2;
F2 = MakeAIFilter(D);
E2 = MakeAIBdryFilter(D);
[R2,P2] = MakeAIRightFilter(D);
%
% Fast All Segmentations
%
ECoeff = FastAllSeg(Blocks,L,D,R2);
%
% Fast Entropy Profile
%
wc = FWT_AI(Blocks,L,D,F2,E2);
EntType = 1;
titlestr = '4.2b L^1 Differential Entropy Profile, Object Blocks';
profile = FastEntProfile(wc,ECoeff,L,D,EntType);
%
%clf;
subplot(211);
plot(t,Blocks);
title('4.2a Object Blocks');
%
subplot(212);
nomiss = find(~isnan(profile));
pr = profile(nomiss);
plot(t,profile)
axis([0 1 min(pr(:)) max(pr(:))]);
title(titlestr)
xlabel('t')
ylabel('dE^1(t)')
hold on; plot(t,zeros(size(t))); hold off;
%
% Prepared for the paper Minimum Entropy Segmentation
% Copyright (c) 1994 David L. Donoho
%
%% Part of Wavelab Version 850% Built Tue Jan 3 13:20:41 EST 2006% This is Copyrighted Material% For Copying permissions see COPYING.m% Comments? e-mail wavelab@stat.stanford.edu
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