calculate the area of three circles overlapping

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vatankhah 2013-9-12

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https://ww2.mathworks.cn/matlabcentral/answers/87025-calculate-the-area-of-three-circles-overlapping

评论： Sunita Saha 2018-2-24

I have 3 circles. We know the center coordinates of each circle and also their radii.

For example:

circle 1: radius=r1 , center coordinate=(x1,y1)

circle 2: radius=r2 , center coordinate=(x2,y2)

circle 3: radius=r3 , center coordinate=(x3,y3)

I want to calculate the overlapping area of these three circles. I mean just the area which all these three circles have in common

thanks

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Image Analyst 2013-9-12

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https://ww2.mathworks.cn/matlabcentral/answers/87025-calculate-the-area-of-three-circles-overlapping#answer_96540

I suggest you start with this answer by Roger: http://www.mathworks.com/matlabcentral/answers/86975#answer_96518

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Image Analyst 2018-2-23

在 MATLAB Online 中打开

Create a digital image with the faq http://matlab.wikia.com/wiki/FAQ#How_do_I_create_a_circle.3F. Then sum the circle binary image into a cumulative one as you draw each circle.

sumImage = zeros(rows, columns);
for k = 1 : numCircles
    thisOneCircle = .... use FAQ to create image of one circle.
    sumImage = sumImage + thisOneCircle;
end

Then use sum to count the number of pixels where the count is more than 2

overlappedPixels = sumImage >= 2;
numOverlapPixels = sum(overlappedPixels (:));

Sunita Saha 2018-2-24

Thank you for the solution suggestion.

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