Merging overlapping circles and remove the union part
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HAINGKHARRAN GUNASEKARAN
on 12 Jun 2021
Commented: Star Strider
on 12 Jun 2021
Hello, I've plot 2 circles on different positions (different centres) on a picture. The 2 circles overlap with one another and I wish to merge the overlapping part as shown in the attachment (the union part is removed). Is it possible to do this on MATLAB? Is there any specific coding for this? Thank you.
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Accepted Answer
Star Strider
on 12 Jun 2021
One approach —
t = linspace(0,2*pi,500); % Allow Adequate Resolution For Best Results
r = 1;
x = @(t) r*cos(t);
y = @(t) r*sin(t);
xc1 = -0.7;
xc2 = +0.7;
circ1 = [x(t)+xc1; y(t)]; % First Circle
circ2 = [x(pi-t)+xc2; y(pi-t)]; % 'Phase' Second Circle So 'inpolygon' Works Correctly
incirc1 = inpolygon(circ1(1,:),circ1(2,:), circ2(1,:),circ2(2,:)); % Detect Intersections
incirc2 = inpolygon(circ2(1,:),circ2(2,:), circ1(1,:),circ1(2,:)); % Detect Intersections
figure
plot(circ1(1,~incirc1),circ1(2,~incirc1),'-k', circ2(1,~incirc2),circ2(2,~incirc2),'-k')
axis('equal')
axis([-2 2 -1.5 1.5])
Interesting problem!
.
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