Creating Polar mesh in matlab

I want to plot a surface z = f(x,y) and it is desired to plot it on a circle surface. Is it possible in matlab or can create polar mesh on matlab?

Answer 1

[David Goodmanson]

Hi Reza,

% make a rectangular grid of r and theta,
% then define x and y in the usual way 
rr = 0:1:20;
thth = (0:.05:1)*2*pi;
[r th] = meshgrid(rr,thth);
x = r.*cos(th);
y = r.*sin(th);

z = 1 + x.^2 - y.^2;
surf(x,y,z)

[Reza Lashani]

Thanks david. It helped me so much.

Answer 2

[Cris LaPierre]

See this answer on how to do this using a rectangular matrix

https://www.mathworks.com/matlabcentral/answers/438319-use-surf-to-plot-a-circle-from-a-rectangle-matrix#answer_355074

See this blog post for how to do this with polar coordinates.

https://blogs.mathworks.com/pick/2011/11/11/3d-polar-plotting/

[Reza Lashani]

Thank you cris. These articles was very useful to me.