logical matrix Centroid method

2019 11 20
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Hello
I would like to perform below process
**before
0 0 0 0 0 0 0 0 0 0 0
0 1 1 1 0 0 0 0 0 0 0
0 0 1 1 0 0 0 1 1 0 0
0 0 0 0 0 0 0 1 1 0 0
0 0 0 1 0 0 0 0 0 0 0
0 0 0 0 0 0 1 1 1 0 0
0 0 0 0 0 0 1 1 1 0 0
0 0 0 0 0 0 1 1 1 0 0
*after
0 0 0 0 0 0 0 0 0 0 0
0 0 0 1 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 1 0 0
0 0 0 0 0 0 0 0 0 0 0
0 0 0 1 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 1 0 0 0
0 0 0 0 0 0 0 0 0 0 0
what would be the best approach to make this kind of centroid process?
thank you

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