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how can i convert 2d plot in to 3d surface ??

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Dr Sohaib Khan
Dr Sohaib Khan 2024-4-25
评论： Dr Sohaib Khan 2024-4-28
Ran in:
I have this small code that plots ogive shape nose in 2d.
I want to develop 3d surface from this code !!! please help and guide....
I am using surf command and tried to turn vector in to matrix....
L = 500;
R = 79;
n= 0.4;
x = 0:0.01:50;
y= R*(x/L).^n;
z= 1.*(x/L).^n;
plot(x,y,'r','linewidth',2)
hold on
plot(x,-y,'r','linewidth',2)
xlabel('Length')
ylabel('Radius')
title('Nose Profile')
axis('equal');
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VBBV
VBBV 2024-4-26
Ran in:
@Dr Sohaib Khan, As @Walter Roberson & @John D'Errico mentioned you could create multple surfaces depending on the which dimension is taken to rotate the 2D line plot. Since you dont want to change L, R, & n, you can use commands like surf or mesh as shown below
L = 500;
R = 79;
n= 0.4;
x = 0:0.01:50;
y = R*(x/L).^n;
z = 1.*(x/L).^n;
[X, Th] = meshgrid(linspace(1,50,100),linspace(0,2*pi,100));
Y = (R*(X/L).^n).*cos(Th);
Z = (1.*(X/L).^n).*sin(Th);
subplot(211)
plot(x,y,'r','linewidth',2)
hold on
plot(x,-y,'r','linewidth',2)
xlabel('Length')
ylabel('Radius')
title('Nose Profile')
axis([-10 50 -40 40]);
subplot(212)
s=surf(X,Y,Z);shading interp;view([30 15])

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Rohit Kulkarni
Rohit Kulkarni 2024-4-25
编辑：Rohit Kulkarni 2024-4-25
Ran in:
Hi Sohaib,
In my understanding you want to develop a 3D surface from your 2D ogive shape nose profile, in order to do this we use the surf command. Here we create a meshgrid that represents domain for your surface and then compute the corresponding z-values using your ogive formula.
Here is the code:
L = 500;
R = 79;
n= 0.4;
x = 0:0.01:50;
y= R*(x/L).^n;
z= 1.*(x/L).^n;
plot(x,y,'r','linewidth',2)
hold on
plot(x,-y,'r','linewidth',2)
xlabel('Length')
ylabel('Radius')
title('Nose Profile')
axis('equal');
L = 500;
R = 79;
n = 0.4;
x = linspace(0, 50, 500); % Define x over the desired range with more points for smoothness
theta = linspace(0, 2*pi, 500); % Define theta for a full circle (360 degrees)
[X, Theta] = meshgrid(x, theta); % Create a meshgrid for X and Theta
% Calculate the radius (y) for each x using the ogive formula
Y = R * (X/L).^n;
% Convert polar coordinates (r, theta) to Cartesian coordinates (Y, Z) for plotting
Y = Y .* cos(Theta); % Y component
Z = Y .* sin(Theta); % Z component, using the same radius to maintain the profile shape
% Plot the 3D surface
surf(X, Y, Z, 'EdgeColor', 'none') % Use 'none' to remove gridlines for a smoother appearance
xlabel('Length')
ylabel('Radius')
zlabel('Height')
title('3D Ogive Shape')
axis equal % Use 'axis equal' to maintain aspect ratio
Refer to the following links for the documentation of the functions used above:
Linspace: https://www.mathworks.com/help/matlab/ref/linspace.html
Meshgrid: https://www.mathworks.com/help/matlab/ref/meshgrid.html
Surf: https://www.mathworks.com/help/matlab/ref/surf.html
Hope this helps!

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