Finding all pairs of non overlapping n/2*n/2 submatrices in an n*n matrix.

2 views (last 30 days)
Hi guys, I have seen this question here: http://uk.mathworks.com/matlabcentral/answers/169278-all-submatrices-of-given-order-of-a-given-matrix but I would like to be able to find all pairs of n/2*n/2 non overlapping submatrices in a given n*n matrix. Any ideas would be much appreciated.
EDIT: Note that here if one submatrix contains rows and columns 1 and 2, its pair must contain only rows and columns 3 and 4.
Many thanks,
Daniel

Answers (1)

Harsha Medikonda
Harsha Medikonda on 19 Aug 2015
I understand that you wish to retrieve all pairs of non-overlapping sub-matrices from a matrix. Refer to the following example.
>>m = 4; n = 4;
>>mx = reshape(1:m*n, m, n);
>>rearranged=im2col(mx,[2 2],'sliding')
>>count_submatrices = size(rearranged,2)
>>s = reshape(rearranged, [2 2 count_submatrices])
In the above code we are creating a 4*4 matrix, and finding the non-overlapping 2*2 sub-matrices using "im2col" function.
Refer to the following documentation pages for more information

Categories

Find more on MATLAB in Help Center and File Exchange

Products

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!