How to calculate the inclination angle of whole box which their 4 vertices are stored in cell array with respect to the horizontal x-axis?

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M 2022-5-12

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https://ww2.mathworks.cn/matlabcentral/answers/1717475-how-to-calculate-the-inclination-angle-of-whole-box-which-their-4-vertices-are-stored-in-cell-array

编辑： Matt J 2022-5-13

xycoordinates.mat

How to calculate the inclination angle of whole box which their 4 vertices are stored in cell array with respect to the horizontal x-axis?

There is cell with size 1*23 , In each part of cell there are four (x,y) coordinates stored (23 Bounding boxes coordinates )as the following:

c = {{[x1 , y1], [x2, y2], [x3 , y3 ], [x4 , y4 ]}, {[x1 , y1], [x2, y2], [x3 , y3 ], [x4 , y4 ]}, ........... }

The attached file is xy coordinates of the vertices of the boxes.

The coordinates are in the order:

(left-bottom), (right-bottom), (left-top), (right-top).where each coordinate is an (x, y) pair.. i.e([x1 , y1], [x2, y2], [x3 , y3 ], [x4 , y4 ])

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Image Analyst 2022-5-12

在 MATLAB Online 中打开

Not sure all those brackets make sense. Can you attach your c in a .mat file?

If they came from regionprops why didn't you just do this:

props = regionprops(mask, 'BoundingBox');
allBB = vertcat(regionprops.BoundingBox); % Put into an N-by-4 matrix.

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M 2022-5-12

编辑：M 2022-5-12

@Image Analyst, I have attached the file please check it.

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采纳的回答

Matt J 2022-5-12

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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1717475-how-to-calculate-the-inclination-angle-of-whole-box-which-their-4-vertices-are-stored-in-cell-array#answer_962670

编辑：Matt J 2022-5-12

在 MATLAB Online 中打开

boxes  = cellfun(@(z) cell2mat(z(:)) ,c ,'UniformOutput' ,false)
boxes=cat(3,boxes{:});
rays=normalize(  boxes(4,:,:)-boxes(3,:,:)  ,2 ,'n');
angles= squeeze( acosd( rays(:,1,:) ) );

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Matt J 2022-5-13

编辑：Matt J 2022-5-13

That's what the wiki page explains. The first element of the ray is the cosine of the angle with the x-axis.

M 2022-5-13

@Matt J I got it, Thank you very much .

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