overlap between between multiple circles using circcirc

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KalMandy 2017-3-24

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https://ww2.mathworks.cn/matlabcentral/answers/331796-overlap-between-between-multiple-circles-using-circcirc

编辑： Asatur Khurshudyan 2019-12-20

Hi all,

I have 10 circles with random center positions but with same radius (but the radius, R= r1:r2). I want to find the intersection points where these circles overlap with eachother at each value of the radius. How can I find these points/ x,y coordinates using the circcirc function inside a for loop?

Thank you.

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Asatur Khurshudyan 2019-12-20

编辑：Asatur Khurshudyan 2019-12-20

Did you find the answer? I encountered the same problem. This post seem to give an answer.

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Answer 1

Image Analyst 2017-3-24

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https://ww2.mathworks.cn/matlabcentral/answers/331796-overlap-between-between-multiple-circles-using-circcirc#answer_260255

Try poly2mask()

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Image Analyst 2017-3-24

What EXACTLY do you want to know? Let's say that you have 10 circles. Do you want to know

The (x,y) coordinates of where circle #1 overlaps circle #2
The (x,y) coordinates of where circle #1 overlaps circle #3
The (x,y) coordinates of where circle #1 overlaps circle #4
The (x,y) coordinates of where circle #1 overlaps circle #5
The (x,y) coordinates of where circle #1 overlaps circle #6
The (x,y) coordinates of where circle #1 overlaps circle #7
The (x,y) coordinates of where circle #1 overlaps circle #8
The (x,y) coordinates of where circle #1 overlaps circle #9
The (x,y) coordinates of where circle #1 overlaps circle #10
The (x,y) coordinates of where circle #2 overlaps circle #3
The (x,y) coordinates of where circle #2 overlaps circle #4
The (x,y) coordinates of where circle #2 overlaps circle #5
The (x,y) coordinates of where circle #2 overlaps circle #6

and so on - a full factorial of every possible combination of every circle overlapping with every other circle? If so, WHY ? Explain the user case.

Or do you just want the (x,y) coordinates of where the perimeters cross? If so, you can just set the two equations equal to each other and solve for x and y using solve(), or roots() or something like that.

Image Analyst 2017-3-25

In some cases there will not be coordinates since the circles do not overlap.

KalMandy 2017-3-25

yes i know, my problem is the way i have written [xout,yout] =circcirc... .This only gives the answer for the last case (intersection between circle 9 and 10 with radius r2). maybe it has to be written [xout(i),yout(i)] ?? but this doesnot work too.

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