how do i plot control net?

does anyone know how do i plot the control net surrounding the cylinder as shown in the picture above? i tried plot3d but it only appears like the picture attached below

Answer 1

[Ayush]

Hi @NurFadhilah Samsuddin,

You can plot the control net surrounding the cylinder using plot3 function itself.

% Define cylinder parameters

outerRadius = 1; % Outer radius of the cylinder

innerRadius = 0.5; % Inner radius of the cylinder

height = 2; % Height of the cylinder

% Define number of control points in each direction

numPointsX = 10; % Number of control points along the x-axis

numPointsY = 10; % Number of control points along the y-axis

% Generate the control net coordinates

theta = linspace(0, 2*pi, numPointsX); % Angles along the x-axis

z = linspace(0, height, numPointsY); % Heights along the y-axis

[Theta, Z] = meshgrid(theta, z); % Create meshgrid of angles and heights

X = outerRadius * cos(Theta); % X-coordinates of control points

Y = outerRadius * sin(Theta); % Y-coordinates of control points

% Plot the control net

figure;

plot3(X, Y, Z, 'b.'); % Plot control points

hold on;

mesh(X, Y, Z); % Plot mesh connecting control points

% Draw the outer cylinder

[Xcyl, Ycyl, Zcyl] = cylinder(outerRadius, numPointsX);

Zcyl = Zcyl * height;

surf(Xcyl, Ycyl, Zcyl, 'FaceAlpha', 0.5, 'EdgeColor', 'none', 'FaceColor', 'r');

% Draw the inner cylinder

[Xcyl_inner, Ycyl_inner, Zcyl_inner] = cylinder(innerRadius, numPointsX);

Zcyl_inner = Zcyl_inner * height;

surf(Xcyl_inner, Ycyl_inner, Zcyl_inner, 'FaceAlpha', 0.5, 'EdgeColor', 'none', 'FaceColor', 'g');

xlabel('X');

ylabel('Y');

zlabel('Z');

title('Control Net of Cylinder with Inner Cylinder');

axis equal;

Output:

Hope it helps.