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How to evaluate the union area of the multiple circles plotted in matrix form of centers and radii?

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Rohan Shinde
Rohan Shinde 2022-3-7
评论： Rohan Shinde 2022-3-8
Specially looking for the area inside the rectangle covered by the union of circles...

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Matt J
Matt J 2022-3-7
编辑：Matt J 2022-3-7
An approximate calculation can be made as follows,
C={centreG1,centreG2,centreG3,centreG4,centreG5,centreG6};
p=cellfun(@polycircle,C,{radii});
Area=area(union(p))
function p=polycircle(center,R)
p=translate( nsidedpoly(1e4,'Radius',R), center);
end
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Rohan Shinde
Rohan Shinde 2022-3-8
@Matt J how to plot {area(intersect(union(p),rect))} this area???
and also kindly check the above link for another question i have uploaded...

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Steven Lord
Steven Lord 2022-3-7
Ran in:
A different approach, one that doesn't involve cell arrays or cellfun:
center = randi(10, 6, 2); % 6 circle centers
radius = randi(5, 6, 1); % 6 circle radii
% Iterate backwards so the first assignment to C allocates
% the right number of elements
for whichCircle = size(center, 1):-1:1
% Approximate each circle with a 1000-sided polyshape
C(whichCircle) = nsidedpoly(1e3, ...
'Center', center(whichCircle, :), ...
'Radius', radius(whichCircle));
end
plot(C)
axis equal
A = area(union(C))
A = 162.1206
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Steven Lord
Steven Lord 2022-3-7
This sample code focused on creating some sample circles. You can take it and adapt it to suit your additional requirements.

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