Matrix indexing in a function

I have an m*3 matrix(metric). Inside the matrix 'metric', I am having x(1st column),y(2nd column) coordinates and the respective radii(3rd column) of each of those circles; thus each row represent a different circle. I need to find if any of the respective circles are intersecting with each other and if yes then which one is intersecting with which one. My question is how can I compare or calculate each of the circle and compare with each other to see if any of the circles are intersecting and where.

Please guide me with any way to solve this problem.

Any suggestion or help is greatly appreciated.

Answer 1

[Stephan]

It is a good idea to work with polyshape objects in this case:

% Find intersected circles
P = [0 0 1; 1 1.5 0.75; 2 1 0.5];
for k = 1:size(P,1)
polyout(k) = polybuffer(P(k,1:2),'points',P(k,3));
end
TF = overlaps(polyout)

% Plot  results
plot(P(:,1),P(:,2),'r.','MarkerSize',10)
hold on
plot(polyout)
axis equal
hold off

results in a matrix showing you which circles are intersecting:

TF =

  3×3 logical array

   1   0   0
   0   1   1
   0   1   1

looks:

read more here:

https://de.mathworks.com/help/matlab/ref/polyshape.polybuffer.html#mw_1efff240-00f9-4f8b-894d-547a3a937088

https://de.mathworks.com/help/matlab/ref/polyshape.overlaps.html