How to plot a number of circles with the same radius, but the position of the circles is randomly put

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Beibit Sautbek 2016-6-22

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评论： Image Analyst 2018-11-21

I need to plot a number of circles with the same radius. Number of circles and the radius are input parameters. Also circles are randomly positioned. For example: The program ask user to input the number of the circles, then ask to input the radius of the circle. Here, the radius is the same for all circles. Then by using input parameters program randomly put the circles.

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Roger Stafford 2016-6-23

May the circles overlap? Over what range are they randomly spaced?

Walter Roberson 2016-6-24

Beibit Sautbek comments,

Circles may not overlap. It should separately located

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Answer 1

KSSV 2016-6-23

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在 MATLAB Online 中打开

N = 10 ;   % number of circles
r = 0.25 ; % radius of circel
%
C = rand(N,2) ;
%
th = linspace(0,2*pi) ;
x = r*cos(th) ;
y = r*sin(th) ;
% Loop for each circle
for i = 1:N
    xc = C(i,1)+x ;
    yc = C(i,2)+y ;
    hold on
    plot(xc,yc) ;
end
axis equal

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Beibit Sautbek 2016-6-23

Dear Dr. Siva Srinivas Kolukula, The codes is great, thank you very much. However the circles are overlap each other, I need separately located circles. Maybe I need the certain distance between the circles Thank you very much

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Answer 2

Image Analyst 2016-7-16

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在 MATLAB Online 中打开

I know you already figured out how to adapt Siva's solution to prevent overlap, because you accepted it, but in case anyone else wants to know how to make a set of non-overlapping circles, see the code below:

numCircles = 1;
numCirclesMax = 50;
radius = 0.05;
maxIterations = 100 * numCirclesMax; % Fail Safe.
iteration = 1;
while  numCircles < numCirclesMax && iteration < maxIterations
  xTrial = rand;
  yTrial = rand;
  iteration = iteration + 1; % Fail safe.
  % Only need to check for overlap for second and later circles.
  if numCircles > 1
    % Find distance from other, prior circles.
    distances = sqrt((xTrial - x) .^ 2 + (yTrial - y) .^ 2);
    if min(distances) < 2 * radius
      % It's overlapping at least one of the prior ones
      continue; % Skip to end of loop and continue with loop.
    end
  end
  x(numCircles) = xTrial;
  y(numCircles) = yTrial;
  numCircles = numCircles + 1;
end
radii = radius * ones(1, length(x));
centers = [x', y'];
viscircles(centers, radii);
grid on;
axis equal
% Set up figure properties:
% Enlarge figure to full screen.
set(gcf, 'Units', 'Normalized', 'OuterPosition', [0 0 1 1]);
% Get rid of tool bar and pulldown menus that are along top of figure.
set(gcf, 'Toolbar', 'none', 'Menu', 'none');
% Give a name to the title bar.
set(gcf, 'Name', 'Demo by ImageAnalyst', 'NumberTitle', 'Off')