How to process a 'function' that take inputs as blocks from two matrices

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Suppose there are two matrices A and B of size 6 x 6 (small size for convenience). If there is a function say, mat which takes inputs 'a' and 'b' as bocks of size 3 x 3 from A and B respectively. For instance, if function mat adds the corresponding elements of blocks a and b, then how to process this function on both the images A and B using 'blockproc' (perhaps) or any other method.
Note: Actually, A and B are gray scale images, and the function mat embeds the pixels of block 'b' into block 'a' (by pixel difference technique).

Accepted Answer

Walter Roberson
Walter Roberson on 31 Aug 2020
mat = @(a,b) double(a) + double(b);
%assuming that the matrices are perfect multiples of the block size:
BS = 3;
Ac = mat2cell(A, BS * ones(1,size(A,1)/BS), BS * ones(1,size(A,2))/BS, size(A,3));
Bc = mat2cell(B, BS * ones(1,size(B,1)/BS), BS * ones(1,size(B,2))/BS, size(B,3));
resultc = cellfun(mat, Ac, Bc);
result = cell2mat(resultc); %careful it is double not uint8
Abdul Gaffar
Abdul Gaffar on 31 Aug 2020
This works.
One more thing: Can functon blockproc be used here?

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