How to draw a radar search volume in 3D?

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Hello,
I am a newbie trying to draw a 120-degree radar search volume in 3D without using syms. Any idea how?
https://kr.mathworks.com/help/symbolic/transform-spherical-coordinates-and-plot.html
syms phi theta
r = 4;
x = r*sin(phi)*cos(theta);
y = r*sin(phi)*sin(theta);
z = r*cos(phi);
fsurf(x,y,z,[0 pi/2 0 2*pi])
axis equal

Accepted Answer

Benjamin Kraus
Benjamin Kraus on 6 Feb 2024
Edited: Benjamin Kraus on 6 Feb 2024
You are on the right track.
To start with, you can use fsurf without needing to use symbolic expressions, you just need to switch to using either anonymous functions or function handles.
r = 4;
x = @(phi, theta) r.*sin(phi).*cos(theta);
y = @(phi, theta) r.*sin(phi).*sin(theta);
z = @(phi, theta) r.*cos(phi);
fsurf(x,y,z,[0 pi/2 0 2*pi])
However, I don't think those are the right equations for what you want to draw.
I believe you want to fix phi and vary both r and theta. I believe this may be closer to what you are looking for.
Note that I switched x and z so that the cone was on it's side.
figure
phi = deg2rad(60);
x = @(r, theta) r.*cos(phi);
y = @(r, theta) r.*sin(phi).*sin(theta);
z = @(r, theta) r.*sin(phi).*cos(theta);
fsurf(x,y,z,[0 4 0 2*pi])
  3 Comments
Benjamin Kraus
Benjamin Kraus on 6 Feb 2024
If this answered your question, can you click "Accept Answer"?
선호 백
선호 백 on 7 Feb 2024
Oh, didn't noticed that button.
Again, thanks a million!

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