Select certain sub-matrix from matrix
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Hi everyone, I have a matrix in such form that:
1 1 1 1 1 1 1 1 1 1
0 1 1 1 1 1 1 1 1 1
1 0 1 1 1 1 1 1 1 0
1 1 0 1 1 1 1 0 0 1
1 1 0 0 0 0 0 1 1 1
I would like to single out the sub-matrix enclosed (above zeros) by zero elements, and set them all to zero as well. I knew it can be done by a simple for loop, since I need to run it many times, I want to vectorize the process. Thanks in advanced for any help and suggestion.
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Vaclav Rimal
on 16 Mar 2016
After your edit, the problem became more simple. What about this (suppose your original matrix is called a):
[m,pos]=min(a);
for i=1:size(a,2)
a(1:pos(i),i)=0;
end
However, I can't think of any way to avoid the for cycle. Probably indexing the matrix elements in the column-vector, one-index manner?
Answers (1)
Guillaume
on 16 Mar 2016
If all you want to do is propagate the zeros upward then a cumprod on the flipped up-down matrix is all that's needed:
a = [1 1 1 1 1 1 1 1 1 1
0 1 1 1 1 1 1 1 1 1
1 0 1 1 1 1 1 1 1 0
1 1 0 1 1 1 1 0 0 1
1 1 0 0 0 0 0 1 1 1];
flipud(cumprod(flipud(a)))
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