📄 hrefine2d.m
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function r = HRefine2d(a,L)
% HRefine2d -- 2-d Refinement based on Haar Pyramid
% Usage
% fine = HRefine2d(coarse,L)
% Inputs
% coarse 2-d image at a coarse scale: length(coarse)=n
% L integer >=1. number of generations to refine by
% Outputs
% fine 2-d image at a fine scale: size(fine) = 2^L * size(coarse)
%
% Description
% Trivial Refinement scheme is used to refine boxcar averages
% on a grid of n*n points, imputing averages on a finer grid
% of 2^L n * 2^L n points. Specifically, for L generations,
% each block in the parent is replaced by a 2*2 block in the
% child, all having the same value as in the parent.
%
% See Also
% HCoarsen2d, AIRefine2d
%
sa = size(a);
r = zeros(2^L * sa(1), 2^L * sa(2));
r(1:sa(1),1:sa(2)) = a;
for h=1:L,
for i=1:sa(2),
b = reshape(r(1:sa(1),i),1,sa(1));
c = [b ; b];
r(1:(2*sa(1)),i) = reshape(c,2*sa(1),1);
end
for j=1:(2*sa(1)),
b = reshape(r(j,1:sa(2)),1,sa(2));
c = [b ; b];
r(j,1:(2*sa(2))) = reshape(c,1,2*sa(2));
end
sa = 2 .* sa;
end
%
% For Article "Smooth Wavelet Decompositions with Blocky Coefficient Kernels"
% Copyright (c) 1993. David L. Donoho
%
%
% Part of WaveLab Version 802
% Built Sunday, October 3, 1999 8:52:27 AM
% This is Copyrighted Material
% For Copying permissions see COPYING.m
% Comments? e-mail wavelab@stat.stanford.edu
%
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