Create a polar surf plot with 3 measured data vectors

I would like to create a polar plot with three measured data vectors: wind direction, wind speed and last the turbulence intensity. I would like to represent these three discrete data vectors in polar coordinate on a surface with an interpolation of the turbulence intensity values. Thank you very much.

[José-Luis]

A polarplot needs only two variables. Could you be clearer, show an example of what you want and of what you have done so far?

[tony74]

I have three vectors and I would like to represent these vector on a polar plot: with the first point having direction1, speed1 and intensity1. In particular I would like to represent the intensity as a color scale with a corresponding colormap.

Answer 1

[Samuel Vergara]

It can be done. I don't know how you have your turbulency saved, so I will supose a turbulence function. Let's say that: x=wind direction y=wind speed z=turbulence(x,y)

X2=0:2*pi/n:2*pi; % direction in radians
Y2=0:(0.8/n):.8; % speed (radius)
[X,Y] = meshgrid(X2,Y2);
Z=ones(length(Y2),length(X2))
for i=1:length(X2),
       for j=1:length(Y2)
                Z(j,i)=turbulence(X2(i)*cos(Y2(j)), X2(i)*sin(Y2(j))]);
       end
end
mesh(X.*cos(Y), X.*sin(Y), Z); % mesh or surf

I hope this helps you. Regards,

[tony74]

Hi Samuel, turbulence intensity is not a function of X and Y (wind direction and speed), it is a vector of measured values for turbulence intensity. The three variables are all vectors of measured quantities. I have three vectors and I would like to represent these vector on a polar plot: with the first point having direction1, speed1 and intensity1. In particular I would like to represent the intensity as a color scale with a corresponding colormap.

[Samuel Vergara]

Well, i think you don't need a mesh then. You need to plot a point for every coordinate given by X,Y,Z. See plot3 documentation. ->plot3(X,Y,Z).

I don't understand why you say polar. Are direction and speed angles? what are the dimensions of direction1, speed1 and intensity1 direction1, speed1 and intensity1 matrixs?

Regards.

[tony74]

I'm showing you an example of a graph I would to obtain.

in this case the graph represent a direction for a wind speed and a concentration as colormap.

[Samuel Vergara]

like contourfm ?

[tony74]

something like pcolor in polar coordinates, by E. Ch3yn3t. However I need to construct the interpolation of z (concentration) values.