plot many sphere with variant radii

hi to all

i have spheres centers and radii and i just want to plot n spheres with variant radii in a cube ,like below figure.how can i do that?

[amir ansari]

i forgot to say that the links are not important and just sphere's need

Answer 1

[Aashray]

Hello Amir

MATLAB’s built-in “surf” function can be used to plot surfaces in three dimensions. I have included an example code below for better understanding:

n = 35; % Number of spheres 
cubeSize = 10; % Cube dimensions 

% Using placeholder values for radii and centers 
radii = 0.5 + rand(n, 1)*0.4;                   
centers = radii + (cubeSize - 2 * radii) .* rand(n, 3);  

% These values can be replaced by actual values as below: 
% radii = [1.2; 0.8; 1.5; ...]; 
% centers = [2, 3, 4; 
%            5, 5, 5; 
%            1, 1, 1; 
%            ...]; 

% Plot setup 
figure; 
hold on; 
axis equal; 
xlim([0 cubeSize]); 
ylim([0 cubeSize]); 
zlim([0 cubeSize]); 
xlabel('X'); 
ylabel('Y'); 
zlabel('Z'); 
title('Spheres with Given Centers and Radii'); 

% Plot each sphere using the given center and radius 
for i = 1:n 
    r = radii(i); 
    center = centers(i, :); 
    
    [X, Y, Z] = sphere(20);  % Resolution of sphere 
    X = r * X + center(1); 
    Y = r * Y + center(2); 
    Z = r * Z + center(3); 
    
    % Plot the sphere 
    surf(X, Y, Z, 'EdgeColor', 'none', 'FaceAlpha', 0.9); 
end 

view(3); 
grid on; 

You can also adjust the transparency of the spheres by modifying the “FaceAlpha” parameter, set it from 0 (fully transparent) to 1 (fully opaque).

Below are some example images of the plot generated using the above code:

For more details on the functions used, you can refer to the MATLAB documentation:

1. https://www.mathworks.com/help/matlab/ref/figure.html
2. https://www.mathworks.com/help/matlab/ref/sphere.html
3. https://www.mathworks.com/help/matlab/ref/surf.html