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naiveTransferOperators.m
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naiveTransferOperators.m
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function [ up, down ] = naiveTransferOperators( I, numLevels, rowMajor )
%NAIVETRANSFEROPERATORS Get full-weighting up- and down-sample operators.
% rowMajor - true if image indices
if( ~exist('rowMajor','var') )
rowMajor=false;
end
up = cell(numLevels,1);
down = cell(numLevels,1);
[rows, cols, ~] = size(I);
downkern = [1/4,1/2,1/4;
1/2, 1,1/2;
1/4,1/2,1/4];
%downkern = downkern/sum(downkern(:));
for level=numLevels:-1:1
N = rows*cols;
if( rowMajor && level==numLevels )
ndx = reshape(1:N, [cols, rows])';
else
ndx = reshape(1:N, [rows, cols]);
end
smallndx = reshape(1:(floor(rows/2)*floor(cols/2)), [floor(rows/2),floor(cols/2)]);
ijk = zeros(9*(floor(rows/2)*floor(cols/2)),3);
ijkndx = 1;
% Top-left corner
ijk(ijkndx,:) = [smallndx(1,1), ndx(1,1), 1];
ijkndx = ijkndx + 1;
ijk(ijkndx,:) = [smallndx(1,1), ndx(1,2), 1/2];
ijkndx = ijkndx + 1;
ijk(ijkndx,:) = [smallndx(1,1), ndx(2,1), 1/2];
ijkndx = ijkndx + 1;
ijk(ijkndx,:) = [smallndx(1,1), ndx(2,2), 1/4];
ijkndx = ijkndx + 1;
% Top-right corner
ijk(ijkndx,:) = [smallndx(1,floor(cols/2)), ndx(1,cols-2), 1/2];
ijkndx = ijkndx + 1;
ijk(ijkndx,:) = [smallndx(1,floor(cols/2)), ndx(1,cols-1), 1];
ijkndx = ijkndx + 1;
ijk(ijkndx,:) = [smallndx(1,floor(cols/2)), ndx(1,cols), 1];
ijkndx = ijkndx + 1;
ijk(ijkndx,:) = [smallndx(1,floor(cols/2)), ndx(2,cols-2), 1/4];
ijkndx = ijkndx + 1;
ijk(ijkndx,:) = [smallndx(1,floor(cols/2)), ndx(2,cols-1), 1/2];
ijkndx = ijkndx + 1;
ijk(ijkndx,:) = [smallndx(1,floor(cols/2)), ndx(2,cols), 1/2];
ijkndx = ijkndx + 1;
% Bottom-left corner
ijk(ijkndx,:) = [smallndx(floor(rows/2),1), ndx(rows-2,1), 1/2];
ijkndx = ijkndx + 1;
ijk(ijkndx,:) = [smallndx(floor(rows/2),1), ndx(rows-2,2), 1/4];
ijkndx = ijkndx + 1;
ijk(ijkndx,:) = [smallndx(floor(rows/2),1), ndx(rows-1,1), 1];
ijkndx = ijkndx + 1;
ijk(ijkndx,:) = [smallndx(floor(rows/2),1), ndx(rows-1,2), 1/2];
ijkndx = ijkndx + 1;
ijk(ijkndx,:) = [smallndx(floor(rows/2),1), ndx(rows,1), 1];
ijkndx = ijkndx + 1;
ijk(ijkndx,:) = [smallndx(floor(rows/2),1), ndx(rows,2), 1/2];
ijkndx = ijkndx + 1;
% Bottom-right corner
ijk(ijkndx,:) = [smallndx(floor(rows/2),floor(cols/2)), ndx(rows-2,cols-2), 1/4];
ijkndx = ijkndx + 1;
ijk(ijkndx,:) = [smallndx(floor(rows/2),floor(cols/2)), ndx(rows-2,cols-1), 1/2];
ijkndx = ijkndx + 1;
ijk(ijkndx,:) = [smallndx(floor(rows/2),floor(cols/2)), ndx(rows-2,cols), 1/2];
ijkndx = ijkndx + 1;
ijk(ijkndx,:) = [smallndx(floor(rows/2),floor(cols/2)), ndx(rows-1,cols-2), 1/2];
ijkndx = ijkndx + 1;
ijk(ijkndx,:) = [smallndx(floor(rows/2),floor(cols/2)), ndx(rows-1,cols-1), 1];
ijkndx = ijkndx + 1;
ijk(ijkndx,:) = [smallndx(floor(rows/2),floor(cols/2)), ndx(rows-1,cols), 1];
ijkndx = ijkndx + 1;
ijk(ijkndx,:) = [smallndx(floor(rows/2),floor(cols/2)), ndx(rows,cols-2), 1/2];
ijkndx = ijkndx + 1;
ijk(ijkndx,:) = [smallndx(floor(rows/2),floor(cols/2)), ndx(rows,cols-1), 1];
ijkndx = ijkndx + 1;
ijk(ijkndx,:) = [smallndx(floor(rows/2),floor(cols/2)), ndx(rows,cols), 1];
ijkndx = ijkndx + 1;
% Left edge
for v=3:2:rows-2
ijk(ijkndx,:) = [smallndx((v+1)/2,1), ndx(v-1,1), 1/2];
ijkndx = ijkndx + 1;
ijk(ijkndx,:) = [smallndx((v+1)/2,1), ndx(v-1,2), 1/4];
ijkndx = ijkndx + 1;
ijk(ijkndx,:) = [smallndx((v+1)/2,1), ndx(v,1), 1];
ijkndx = ijkndx + 1;
ijk(ijkndx,:) = [smallndx((v+1)/2,1), ndx(v,2), 1/2];
ijkndx = ijkndx + 1;
ijk(ijkndx,:) = [smallndx((v+1)/2,1), ndx(v+1,1), 1/2];
ijkndx = ijkndx + 1;
ijk(ijkndx,:) = [smallndx((v+1)/2,1), ndx(v+1,2), 1/4];
ijkndx = ijkndx + 1;
end
% Right edge (really, u=cols-1 line)
for v=3:2:rows-2
ijk(ijkndx,:) = [smallndx((v+1)/2,floor(cols/2)), ndx(v-1,cols-2), 1/4];
ijkndx = ijkndx + 1;
ijk(ijkndx,:) = [smallndx((v+1)/2,floor(cols/2)), ndx(v-1,cols-1), 1/2];
ijkndx = ijkndx + 1;
ijk(ijkndx,:) = [smallndx((v+1)/2,floor(cols/2)), ndx(v-1,cols), 1/2];
ijkndx = ijkndx + 1;
ijk(ijkndx,:) = [smallndx((v+1)/2,floor(cols/2)), ndx(v,cols-2), 1/2];
ijkndx = ijkndx + 1;
ijk(ijkndx,:) = [smallndx((v+1)/2,floor(cols/2)), ndx(v,cols-1), 1];
ijkndx = ijkndx + 1;
ijk(ijkndx,:) = [smallndx((v+1)/2,floor(cols/2)), ndx(v,cols), 1];
ijkndx = ijkndx + 1;
ijk(ijkndx,:) = [smallndx((v+1)/2,floor(cols/2)), ndx(v+1,cols-2), 1/4];
ijkndx = ijkndx + 1;
ijk(ijkndx,:) = [smallndx((v+1)/2,floor(cols/2)), ndx(v+1,cols-1), 1/2];
ijkndx = ijkndx + 1;
ijk(ijkndx,:) = [smallndx((v+1)/2,floor(cols/2)), ndx(v+1,cols), 1/2];
ijkndx = ijkndx + 1;
end
% Top edge
for u=3:2:cols-2
ijk(ijkndx,:) = [smallndx(1,(u+1)/2), ndx(1,u-1), 1/2];
ijkndx = ijkndx + 1;
ijk(ijkndx,:) = [smallndx(1,(u+1)/2), ndx(2,u-1), 1/4];
ijkndx = ijkndx + 1;
ijk(ijkndx,:) = [smallndx(1,(u+1)/2), ndx(1,u), 1];
ijkndx = ijkndx + 1;
ijk(ijkndx,:) = [smallndx(1,(u+1)/2), ndx(2,u), 1/2];
ijkndx = ijkndx + 1;
ijk(ijkndx,:) = [smallndx(1,(u+1)/2), ndx(1,u+1), 1/2];
ijkndx = ijkndx + 1;
ijk(ijkndx,:) = [smallndx(1,(u+1)/2), ndx(2,u+1), 1/4];
ijkndx = ijkndx + 1;
end
% Bottom edge (really, v=rows-1 line)
for u=3:2:cols-2
ijk(ijkndx,:) = [smallndx(floor(rows/2),(u+1)/2), ndx(rows-2,u-1), 1/4];
ijkndx = ijkndx + 1;
ijk(ijkndx,:) = [smallndx(floor(rows/2),(u+1)/2), ndx(rows-2,u), 1/2];
ijkndx = ijkndx + 1;
ijk(ijkndx,:) = [smallndx(floor(rows/2),(u+1)/2), ndx(rows-2,u+1), 1/4];
ijkndx = ijkndx + 1;
ijk(ijkndx,:) = [smallndx(floor(rows/2),(u+1)/2), ndx(rows-1,u-1), 1/2];
ijkndx = ijkndx + 1;
ijk(ijkndx,:) = [smallndx(floor(rows/2),(u+1)/2), ndx(rows-1,u), 1];
ijkndx = ijkndx + 1;
ijk(ijkndx,:) = [smallndx(floor(rows/2),(u+1)/2), ndx(rows-1,u+1), 1/2];
ijkndx = ijkndx + 1;
ijk(ijkndx,:) = [smallndx(floor(rows/2),(u+1)/2), ndx(rows,u-1), 1/2];
ijkndx = ijkndx + 1;
ijk(ijkndx,:) = [smallndx(floor(rows/2),(u+1)/2), ndx(rows,u), 1];
ijkndx = ijkndx + 1;
ijk(ijkndx,:) = [smallndx(floor(rows/2),(u+1)/2), ndx(rows,u+1), 1/2];
ijkndx = ijkndx + 1;
end
% Interior pixels
for u=3:2:cols-2
for v=3:2:rows-2
winNdx = ndx(v-1:v+1,u-1:u+1);
i = smallndx((v+1)/2, (u+1)/2);
% tmpkern = double(full(A(ndx(v,u),winNdx(:))) < 0);
% tmpkern(5) = 1;
% tmpkern = tmpkern(:) .* downkern(:);
tmpkern = downkern(:);
ijk(ijkndx:ijkndx+9-1,:) = [repmat([i],[9,1]), winNdx(:), tmpkern(:)];
ijkndx = ijkndx + 9;
end
end
down{level} = sparse(ijk(1:ijkndx-1,1), ijk(1:ijkndx-1,2), ijk(1:ijkndx-1,3), (floor(rows/2)*floor(cols/2)), N);
up{level} = down{level}';
cols = floor(cols/2);
rows = floor(rows/2);
end