📄 mefig401.m
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% mefig401 -- Multi-Resolution Filter Bank output, object "Ramp"
%
% As described in the text, the coefficients of the segmented
% wavelet transform differ from the unsegmented transform only
% in a few coefficients near the segmentation point. The multi-
% resolution filter bank described in the text calculates exactly
% those coefficients which differ. Here we show its output
% for object "Ramp". The output is localized to sites near
% the discontinuity.
%
global Ramp
%
L = 4; D = 2;
[R2,P2] = MakeAIRightFilter(2);
%
ECoeff = FastAllSeg(Ramp,L,D,R2);
%
m = max(max(abs(ECoeff)));
%
sz = size(ECoeff);
nl = sz(2)./3;
w = zeros(1,sz(2));
[n,J] = dyadlength(Ramp);
for i=1:nl,
w(1+3*(i-1)) = -J + i;
w(2+3*(i-1)) = -J + i + .2;
w(3+3*(i-1)) = -J + i + .4;
end
offset = ones(sz(1),1) * w;
t = (1:sz(1)) ./sz(1);
%clf;
%subplot(111);
LockAxes([0 1 -J -L+1]);
plot(t,((1/m) .* ECoeff)+offset);
title('4.1 Multi-Resolution Filter Bank nu_{j,l}(t)')
ylabel('j')
xlabel('t')
UnlockAxes;
%
% 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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