How I can implement a non-overlap optimization constraint

2022 4 25
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更新时间：2022 4 25
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I am doing a global optimiation process using matlab. I need to implement a non-overlap constraint to prevnt 2 rectangles from overlap each other. I wonder if any one has faced such constraint in matlab optimization

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Matt J
Matt J 2022-4-25
How are the rectangles parametrized?
Mohamed Salem
Mohamed Salem 2022-4-25
Well, I optimize the location of 2 rectangles, but if it is possible to do more or having a generic constraint for (n) of them, it would be better

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Matt J
Matt J 2022-4-25
编辑：Matt J 2022-4-25

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If V1 (4x2) and V2(4x2) are the vertices of the two rectangles, then you could introduce additional unknowns a,b,c with the constraints,
V1*[a;b]>=c
V2*[a;b]<=c

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Mohamed Salem
Mohamed Salem 2022-4-25
The optimization objective is to locate the both rectangles, what is a,b,and c ?
Matt J
Matt J 2022-4-25
编辑：Matt J 2022-4-25
They are additional unknown variables introduced to parametrize the non-overlap constraints. You need to solve for them along with your original unknowns.

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Matt J
Matt J
2022-4-25

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