2D plot to 3D Graph

Hello, This is my 2D Plot and I can't figure out how to turn the Red curve into a 3D Plot or what the Z coordinate would even be for it. I would really appreciate some help. Here is my code for the red curve:

Receptive_Field = GME(s, sigE) - (0.5*GMI(s, sigI));
plot(s, Receptive_Field, 'r')

function E = GME(s,sigE)
E = exp(-1*(s.^2)/(2*sigE^2));
end
function I = GMI(s,sigI)
I = exp(-1*(s.^2)/(2*sigI^2));
end

Answer 1

[darova]

I made a simple example for you

x = 0:10;
y = sin(x)+2;
t = linspace(0,2*pi,30);
[T,Y] = meshgrid(t,y);
[~,X] = meshgrid(t,x);
[Z,Y] = pol2cart(T,Y);
surf(X,Y,Z,'facecolor','none')
line(x,y,'linewidth',3)
axis vis3d

Is this what are you looking for?

[Nicole Mezher]

Can you further explain how you got your Z coordinate, T in this case, Did you know what you wanted it to be?

[darova]

This is function i choosed (use yours instead)

x = 0:10;
y = sin(x)+2;

I know that if rotate something should be an angle. I shoosed t (eg )

t = linspace(0,2*pi,30);

I want to rotate about X axis (it stays unchanged). I assumed that y plays role of radius

So we have x, y=r and t. We need a mesh to build a surface

[T,R] = meshgrid(t,y);          % generate mesh for angle and radius
[~,X] = meshgrid(t,x);          % generate mesh for X only

All data is prepared (X,T and R). It's in polar system of coordinates. All we need to do is to convert it cartesian

[Z,Y] = pol2cart(T,R);          % convert angle and radius to cartesian system

Final part

surf(X,Y,Z,'facecolor','none')  % create rotated object
line(x,y,'linewidth',3)         % add thick line (original data in XY plane)
axis vis3d                      % adjust axes so they don't change

• Did you know what you wanted it to be?

Sure i do. Do you? Do you have any questions?

[Nicole Mezher]

I personally am unsure what to make my z-coordinate. All I know is the shape my current graph takes, but I am confused how to turn that into a 3D Figure, or what the new parameter would be.

[darova]

So you need to rotate about Z axis?

[Nicole Mezher]

Yes

[darova]

Maybe another way. Here is my first script