豆粑粑 画随机不重叠的圆

meatball1982

在范围之内随机生成圆。
相互不重合。

1. clear all
   
2. clc
   
3. clf
   
4. 
   
5. % para
   
6. n=15;                    % circle number
   
7. b=20;                    % bound
   
8. r  = rand(n,1)*1+0.5;    % r
   
9. x1 = [1:n];              % ind
   
10. 
    
11. % generate r ind for cal ri+rj distance
    
12. [ind1,ind2]=ndgrid(x1,x1);
    
13. out_ind=[ind2(:),ind1(:)];
    
14. ind_cho = out_ind(:,1)<out_ind(:,2);
    
15. out_ind(~ind_cho,:)=[];
    
16. 
    
17. R_mat=squareform(sum(r(out_ind)')');
    
18. cen = rand(n,2)*b;
    
19. 
    
20. D = pdist(cen);
    
21. D_mat = squareform(D);
    
22. dis=(D_mat-R_mat)>0;
    
23. 
    
24. the=linspace(0,2*pi,100);
    
25. the=[the,0];
    
26. 
    
27. n_flg = n^2-n;
    
28. n_cont=1;
    
29. while sum(dis(:))~= n_flg     | ... % dis
    
30.       sum(cen(:,1)-r < 0 )> 0 | ... % left bound
    
31.       sum(cen(:,2)-r < 0 )> 0 | ... % bottom bound
    
32.       sum(cen(:,1)+r > b )> 0 | ... % right bound
    
33.       sum(cen(:,1)+r > b )>0        % up bound
    
34.     n_cont=n_cont+1
    
35.     cen = rand(n,2)*b;              % new centers
    
36.     r  = rand(n,1)*1+0.5;           % new r
    
37.     R_mat=squareform(sum(r(out_ind)')');  % ri+rj matrix
    
38.     D = pdist(cen);
    
39.     D_mat = squareform(D);          % center matrix
    
40.     dis=(D_mat-R_mat)>0;
    
41. end
    
42. 
    
43. 
    
44. % output results
    
45. hold on
    
46. for k=1:n
    
47.     x_r = r(k)*cos(the)+cen(k,1);
    
48.     y_r = r(k)*sin(the)+cen(k,2);
    
49.     plot(x_r,y_r,'-')
    
50. end
    
51. plot(cen(:,1),cen(:,2),'.')
    
52. axis equal
    
53. axis([0 b 0 b])
    
54. box on
    
55. 
    
56. %% logs
    
57. % mod : 14-Sep-2017 21:20:32
    

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meatball1982

更新：
3D版本的




主程序

1. clear all
   
2. clc
   
3. clf
   
4. 
   
5. 
   
6. %% outline
   
7. % gen rand circle, sphere in 3D
   
8. % according : http://www.ilovematlab.cn/thread-526875-1-1.html
   
9. % gen cen
   
10. % gen rad with cen
    
11. %
    
12. 
    
13. 
    
14. %% main
    
15. 
    
16. % % parameters
    
17. % n =200;
    
18. % b =10;
    
19. % rmin=0.1;
    
20. % rmax=0.3;
    
21. %
    
22. % % gen initial center
    
23. % [ cen ] = fun_gen_cen_3d(n,b);
    
24. %
    
25. % % distance
    
26. % D=pdist(cen);
    
27. % D_mat = squareform(D);
    
28. %
    
29. %
    
30. % % generate r ind for cal ri+rj distance
    
31. % x1 = [1:n];              % ind
    
32. % [ind1,ind2]=ndgrid(x1,x1);
    
33. % out_ind=[ind2(:),ind1(:)];
    
34. % ind_cho = out_ind(:,1)<out_ind(:,2);
    
35. % out_ind(~ind_cho,:)=[];
    
36. %
    
37. % % gen initial r
    
38. % r = fun_gen_r(n,D_mat,rmin,rmax);
    
39. % R_mat=squareform(sum(r(out_ind)')');
    
40. %
    
41. % % judge
    
42. % dis=(D_mat-R_mat)>0;
    
43. % n_flg = n^2-n;
    
44. %
    
45. % n_cont = 1;
    
46. % while sum(dis(:))~= n_flg       | ... % dis
    
47. %         sum(cen(:,1)-r < 0 )> 0 | ... % left bound
    
48. %         sum(cen(:,2)-r < 0 )> 0 | ... % bottom bound
    
49. %         sum(cen(:,3)-r < 0 )> 0 | ... % z dir
    
50. %         sum(cen(:,1)+r > b )> 0 | ... % right bound
    
51. %         sum(cen(:,2)+r > b )> 0 | ... % up bound
    
52. %         sum(cen(:,3)+r > b )> 0
    
53. %         
    
54. %     n_cont=n_cont+1
    
55. %     [ cen ] = fun_gen_cen_3d(n,b);              % new centers
    
56. %     r  = fun_gen_r(n,D_mat,rmin,rmax);           % new r
    
57. %     R_mat=squareform(sum(r(out_ind)')');  % ri+rj matrix
    
58. %     D = pdist(cen);
    
59. %     D_mat = squareform(D);          % center matrix
    
60. %     dis=(D_mat-R_mat)>0;
    
61. % end
    
62. %
    
63. %
    
64. % save Mat_4plot.mat
    
65. load Mat_4plot.mat
    
66. 
    
67. %% output result
    
68. hold on
    
69. plot3(cen(:,1),cen(:,2),cen(:,3),'k.','markersize',3)
    
70. axis([0 b 0 b 0 b])
    
71. axis square
    
72. ax = gca;
    
73. grid on
    
74. ax.XTick = [0:1:10];
    
75. ax.YTick = [0:1:10];
    
76. ax.ZTick = [0:1:10];
    
77. 
    
78. 
    
79. % the=linspace(0,2*pi,100);
    
80. % the=[the,0];
    
81. %
    
82. for k = 1: n
    
83.     [x_sp,y_sp,z_sp]=sphere(20);
    
84.     x_sp = r(k)*x_sp + cen(k,1);
    
85.     y_sp = r(k)*y_sp + cen(k,2);
    
86.     z_sp = r(k)*z_sp + cen(k,3);
    
87.     surf(x_sp,y_sp,z_sp,r(k)*ones(size(x_sp)),'edgecolor','none')
    
88. %     x_r = r(k)*x_sp+cen(k,1);
    
89. %     y_r = r(k)*sin(the)+cen(k,2);
    
90. %     plot(x_r,y_r,'-','linewidth',2)
    
91. end
    
92. box on
    
93. axis equal
    
94. colormap(jet)
    
95. alpha(0.5)
    
96. xlabel('x')
    
97. ylabel('y')
    
98. zlabel('z')

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3D的中心程序

1. function [ cen ] = fun_gen_cen_3d(n,b)
   
2. 
   
3. tm=randperm(b*b*b);
   
4. 
   
5. ind  = sort(tm(1:n));
   
6. tm_0 = zeros(b,b,b);
   
7. tm_0(tm(1:n))=1;
   
8. [ind_x,ind_y,ind_z]=findND(tm_0);
   
9. 
   
10. % cen_x = ceil(ind/b)+0.5-rand(1,n)*0.35;
    
11. % cen_y = mod(ind,b) +0.5-rand(1,n)*0.35;
    
12. 
    
13. cen_x = ind_x' -0.5+rand(1,n)*0.35;
    
14. cen_y = ind_y' -0.5+rand(1,n)*0.35;
    
15. cen_z = ind_z' -0.5+rand(1,n)*0.35;
    
16. 
    
17. cen=[cen_x;
    
18.      cen_y;
    
19.      cen_z;]';
    
20. 
    
21. cen = abs(cen);

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