Rotating a line plot to obtain a 360-degree color map

I would like to rotate the line plot on the left about its central point to create a 360 degree color map, that looks somewhat like to the image on the right. Any suggestion on how to rotate and extrapolate the data?

Answer 1

[Star Strider]

Itt would help to have the data.

It also appears that the line is not the same everywhere (it may be part of a matrix), although only one line (most likely row) is shown.

One ap;proach is tot create a matrix from it as a function of an angle, and then use the pol2cart function to transform it into Cartesian coordinates —

Nr = 250;
th = linspace(0, 2*pi, Nr);
Nc = 50;
rv = linspace(0, 3.5*pi, Nc);
r = cos(rv) + 1;

figure
plot(rv, r)

[T,R] = ndgrid(th, rv);
A =  repmat(r, Nr, 1);

figure
surf(T, R, A, 'EdgeColor','none')
colormap(turbo)
colorbar

[X,Y,Z] = pol2cart(T, R, A);

figure
surf(X, Y, Z, 'EdgeColor','interp')
colormap(turbo)
colorbar

figure
surf(X, Y, Z, 'EdgeColor','interp')
colormap(turbo)
colorbar
axis('equal')
view(0,90)

Depending on how you want it to look, another option is tto use contourf —

figure
contourf(X, Y, Z, 'LineColor','none')
colormap(turbo)
colorbar
axis('equal')

This is my best guess.