How to draw non overlapping bubble chart in MATLAB

For example, select indicators for the situation of higher education in countries around the world , use topsis I can't deal with it , You can get the education of various countries topsis fraction .

So how to use the graph to intuitively show the data results ？ Considering the aesthetics , You can use non overlapping bubble charts , Bubble （ That is round ） Radius and topsis Score correlation , The size of the circle shows the country topsis Score level .

as follows ：

                

matlab Implementation code ：

First import the data ：

clc,clear
D=xlsread(' ranking .xlsx',1,'B2:B16')';%topsis The top 15 fraction 
[~,~,country]=xlsread(' ranking .xlsx',1,'A2:A16'); % The name of the country , For legend 

  Define bubble radius ：

because topsis The scores are all in 0-1 Between , Is too small , So multiply by 100 As the bubble radius of various countries .

N=length(D);   % The number of circles to draw 
r=D*100;                            % Generation radius 

Define the side length of the picture ：

If all circles do not overlap , The maximum length occupied （ That is, the side length of the graph ） Not more than the sum of circle diameters

w=2*sum(r);                              %** Area side length **

Generate the first point , Draw a circle together ：

Note that the first circle obviously can't make it run outside the figure , The radius length can be roughly defined as the center coordinate .

use [rand,rand,rand] Random color .

p=r(1)*ones(1,2);             % Generate a random point 
A=p';                                     % The coordinates of the first point are recorded into the matrix A in , Transpose operation 
t=0:360;
patch(p(1)+r(1)*cosd(t),p(2)+r(1)*sind(t),[rand,rand,rand])
hold on   

The idea of generating non overlapping bubbles ：

Generate points randomly , For example, start to generate the coordinates of the center of the third circle , Then judge the point and the 1,2 The distance between the coordinates of the center of a circle , Respectively cannot be less than r3+r1 and r3+r2. If it fails to meet the standard, continue to randomly generate points , If it meets the standard, store the coordinates of the point , And draw circles of random colors .

for ii=2:N
    p=r(ii)+(w-2*r(ii)-47).*rand(1,2);   % Generate a new random point ,rand(1,2) It means to produce one row and two columns （0,1） Random number between 
    while any((A(1,1:ii-1)-p(1)).^2+(A(2,1:ii-1)-p(2)).^2<=(r(1,1:ii-1)+r(ii)).^2) % Distance judgment does not overlap 
          p=r(ii)+(w-2*r(ii)-47).*rand(1,2);
    end
    A = [A,p'];                                            % Save the new point to matrix A
    patch(p(1)+r(ii)*cosd(t),p(2)+r(ii)*sind(t),[rand,rand,rand]);      % Fill a circle 
end

Because you want to make the non overlapping bubbles appear more compact in the figure , Constantly adjust parameters when generating coordinates ,-47 It looks better when .

@[email protected] Although it can still meet the current goal , But it's too unwise , There are at least two ways to improve this kind of diagram ： Realize that each bubble is next to ; Customize a color matrix for the color of bubbles , If you can , Give Way topsis Score from high to low gradient color , Then the color column is shown on the next figure . If it is realized in the future , Come back and make up , Maybe not （？）

Of course , This picture can be found in tableau In the software ：

 

  The complete code is as follows ：

clc,clear
D=xlsread(' ranking .xlsx',1,'B2:B16')';%topsis The top 15 fraction 
[~,~,country]=xlsread(' ranking .xlsx',1,'A2:A16'); % The name of the country , For legend 
N=length(D);   % The number of circles to draw 
r=D*100;                            % Generation radius 
w=2*sum(r);                              %** Area side length **
p=r(1)*ones(1,2);             % Generate a random point 
A=p';                                     % The coordinates of the first point are recorded into the matrix A in , Transpose operation 
t=0:360;
patch(p(1)+r(1)*cosd(t),p(2)+r(1)*sind(t),[rand,rand,rand])
%plot([0 w w 0 0],[0 0 w w 0]);     % Draw an area box 
hold on                                  
for ii=2:N
    p=r(ii)+(w-2*r(ii)-47).*rand(1,2);   % Generate a new random point ,rand(1,2) It means to produce one row and two columns （0,1） Random number between 
    while any((A(1,1:ii-1)-p(1)).^2+(A(2,1:ii-1)-p(2)).^2<=(r(1,1:ii-1)+r(ii)).^2) % Distance judgment does not overlap 
          p=r(ii)+(w-2*r(ii)-47).*rand(1,2);
    end
    A = [A,p'];                                            % Save the new point to matrix A
    patch(p(1)+r(ii)*cosd(t),p(2)+r(ii)*sind(t),[rand,rand,rand]);      % Fill a circle 
end
legend(country,'Location','EastOutside') % Locate the legend 
title('Top 15 countries with TOPSIS scores in 2020')
hold off
axis equal

Reference blog ：MATLAB Draw a random circle that does not coincide in the region - Pangolin２ - Blog Garden