Remove overlapping areas of 663 rectangles

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Wen Fang
Wen Fang 2018-11-6
评论： Wen Fang 2018-11-19
As in the first image (Figure 1), I am trying to remove the overlaps of 663 intersecting rectangles, and have the outmost lines visible. The second image (Figure 2) presents an example with two intersecting rectangle. I have attached an EXCEL file containing the coordinates of all the rectangles. I've stuck with this problem, please help me.
Figure 1
Figure 2
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KSSV
KSSV 2018-11-6
编辑：KSSV 2018-11-6
If you can tell what is the final purpose....there might be another simple approach rather then this.
Are you looking for something like this?
Wen Fang
Wen Fang 2018-11-6
You are totally right. But I want to have the sides of the polygons visible after removing the overlaps. The following is a simple example with three intersecting rectangles.

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Bruno Luong
Bruno Luong 2018-11-6
data = xlsread('Rectangle points.xlsx');
data = reshape(data,[],2,4);
data = permute(data,[2 3 1]);
n = size(data,3);
p = arrayfun(@(k) polyshape(data(1,:,k),data(2,:,k)), 1:n);
q = p(1);
for k=2:n
q = union(q,p(k));
end
plot(q)
axis equal
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Bruno Luong
Bruno Luong 2018-11-19
Sorry I do not know any built-in data structure that can store a volume in 3D by plannar faces, beside convex hul (but in your case it is not convex at all), let alone doing operation on it.
Wen Fang
Wen Fang 2018-11-19
@ Bruno Luong Thank you for your reply. Seems like this is an impossible task.

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