非重叠的随机定位的圆 [英] Non overlapping randomly located circles

问题描述

我需要生成固定数量的不重叠的随机分布的圆.我可以显示用这段代码随机放置的圆圈(在这种情况下为20)

I need to generate a fixed number of non-overlapping circles located randomly. I can display circles, in this case 20, located randomly with this piece of code,

  for i =1:20
  x=0 + (5+5)*rand(1)
  y=0 + (5+5)*rand(1)
  r=0.5
  circle3(x,y,r)
  hold on 
  end

但是圆圈重叠，我想避免这种情况.这是由以前的用户使用Mathematica > https://mathematica.stackexchange.com/questions/69649/来实现的generate-nonoverlapping-random-circles ，但是我正在使用MATLAB，我想坚持下去.

however circles overlap and I would like to avoid this. This was achieved by previous users with Mathematica https://mathematica.stackexchange.com/questions/69649/generate-nonoverlapping-random-circles , but I am using MATLAB and I would like to stick to it.

为了重现性，这是函数circle3，我正在使用它来绘制圆圈

For reproducibility, this is the function, circle3, I am using to draw the circles

function h = circle3(x,y,r)
 d = r*2;
 px = x-r;
 py = y-r;
 h = rectangle('Position',[px py d d],'Curvature',[1,1]);
 daspect([1,1,1])

谢谢.

推荐答案

，您可以保存所有先前绘制的圆的列表.后 随机化一个新的圆，以确保它不与先前绘制的圆相交.

you can save a list of all the previously drawn circles. After randomizing a new circle check that it doesn't intersects the previously drawn circles.

代码示例:

nCircles = 20;
circles = zeros(nCircles ,2);
r = 0.5;

for i=1:nCircles
    %Flag which holds true whenever a new circle was found
    newCircleFound = false;

    %loop iteration which runs until finding a circle which doesnt intersect with previous ones
    while ~newCircleFound
        x = 0 + (5+5)*rand(1);
        y = 0 + (5+5)*rand(1);

        %calculates distances from previous drawn circles
        prevCirclesY = circles(1:i-1,1);
        prevCirclesX = circles(1:i-1,2);
        distFromPrevCircles = ((prevCirclesX-x).^2+(prevCirclesY-y).^2).^0.5;

        %if the distance is not to small - adds the new circle to the list
        if i==1 || sum(distFromPrevCircles<=2*r)==0
            newCircleFound = true;
            circles(i,:) = [y x];
            circle3(x,y,r)
        end

    end
    hold on
end

*请注意，如果圆的数量相对于绘制x和y坐标的范围太大，则循环可能会无限运行. 为了避免出现这种情况，请相应地定义此范围(可以将其定义为nCircles的函数).

*notice that if the amount of circles is too big relatively to the range in which the x and y coordinates are drawn from, the loop may run infinitely. in order to avoid it - define this range accordingly (it can be defined as a function of nCircles).

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