To plot random 3D spheres in a given area using MATLAB you need to define a random radius and center for the spheres in the specified area and then use the "sphere" function to generate the data for the sphere. You can then use the "surf" function to plot the spheres at its random position.
% Parameters
numSpheres = 5;
areaSize = [10, 10, 10]; % Define the 3D area dimensions
maxRadius = 2; % Maximum radius for spheres
sectorAngle = pi/4; % Angle for the spherical sector (can be randomized using the "rand" method)
sectorRadius = 1; % Radius for the spherical sector
% Create a figure
figure;
hold on;
axis equal;
grid on;
xlabel('X');
ylabel('Y');
zlabel('Z');
xlim([0, areaSize(1)]);
ylim([0, areaSize(2)]);
zlim([0, areaSize(3)]);
% Generate and plot random spheres
for i = 1:numSpheres
% Random sphere center
center = rand(1, 3) .* areaSize;
% Random sphere radius
radius = rand * maxRadius;
% Create sphere data
[x, y, z] = sphere(20);
x = x * radius + center(1);
y = y * radius + center(2);
z = z * radius + center(3);
% Plot sphere
surf(x, y, z, 'FaceAlpha', 0.5, 'EdgeColor', 'none');
% Plot spherical sector
[theta, phi] = meshgrid(linspace(0, sectorAngle, 20), linspace(0, 2*pi, 40));
xs = sectorRadius * sin(theta) .* cos(phi) + center(1);
ys = sectorRadius * sin(theta) .* sin(phi) + center(2);
zs = sectorRadius * cos(theta) + center(3);
surf(xs, ys, zs, 'FaceColor', 'r', 'FaceAlpha', 0.3, 'EdgeColor', 'none');
end
% Finalize plot and view it in 3D
title('Random 3D Spheres with Spherical Sectors');
view(3);
For more information regarding the "rand", "sphere" and "surf" functions, refer to the following documentation links:
