Remove overlapping areas of 663 rectangles

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Wen Fang 2018-11-6

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https://ww2.mathworks.cn/matlabcentral/answers/428232-remove-overlapping-areas-of-663-rectangles

评论： Wen Fang 2018-11-19

Rectangle points.xlsx

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 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 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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采纳的回答

Bruno Luong 2018-11-6

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https://ww2.mathworks.cn/matlabcentral/answers/428232-remove-overlapping-areas-of-663-rectangles#answer_345418

在 MATLAB Online 中打开

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 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 2018-11-19