Creating a circular contour from radial datasets

I've never used contours in Matlab, and I made 0 progress on my case so far. Here's my problem:

My data is stored in multiple radial datasets (six in this example), the discrete points are defined in polar coordinates and/or cartesian. I'd prefer cartesian. My data points are shown in the left picture.

For every Point [y,z], i have a value for my contour data. Lets call it [Fz]. Now i want to create a contour plot, that looks like the right picture. In the "real" case, I have 120 radial datasets 0°:3°:360°, so i do not really rely on interpolation that makes the contour look like a perfect circle as shown in the right picture. What i do need, is the hole in the middle. The contour shall only be plotted for inbetween r_min and r_max.

I have attached my example workspace. Blade1, Blade2, Blade3,... are the radial stations at 0°:60°:360°

Thanks in advance, i really gave up on this one..

Answer 1

[Voss]

S = load('example.mat');

Blades = [S.Blade1 S.Blade2 S.Blade3 S.Blade4 S.Blade5 S.Blade6];

Blades_plot = Blades([1:end 1]);
y  = [Blades_plot.y];
z  = [Blades_plot.z];
Fx = [Blades_plot.Fx];
contourf(y,z,Fx)

[Marc]

Wow. I'm ashamed of how simple your solution is, i was struggling with meshgrid(), griddata() etc. and never understood whats going on. Thank you so much!

[Voss]

You're welcome!

[William Rose]

@Marc,

Yet another nice answer from @Voss. You can like it.

When you are plotting a physical object, you probably want the aspect ratio to be correct, i.e. 1 cm along x axis equals 1 cm along y. Try

axis equal

to make it so.