📄 hcoarsen2d.m
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function c = HCoarsen2d(r,L)
% HCoarsen2d -- 2-d Coarsening operator based on Haar Pyramid
% Usage
% coarse = HCoarsen2d(fine,L)
% Inputs
% fine 2-d image on fine grid
% L integer >= 1. number of dyadic coarsenings
% Outputs
% coarse 2-d image on coarse grid
%
% Description
% Two-by-Two quads of blocks are replaced by single blocks
% having the average value of the quad. This is repeated
% through L generations. Starting from data on a grid of
% n*n points, delivers averages on a coarser grid of
% n/2^L * n/2^L points.
%
% See Also
% HRefine2d, AIRefine2d
%
sa = size(r);
b = r;
ni = sa(1); nj = sa(2);
for h=1:L,
ni = ni/2; nj = nj/2;
for i=1:ni,
for j=1:nj,
b(i,j) = sum(sum(b((2*i-1):(2*i),(2*j-1):(2*j)))) /4;
end
end
end
c = zeros(ni, nj);
c = b(1:ni,1:nj);
%
% 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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