How to get the mouse coordinates in a 3D spherical plot?

I plot the globe in 3D, and would like to get the latitude and longtitude of the current mouse position.

I tried to use get(gca,'CurrentPoint'), and I don't know how to map those coordinates to the equivalent latitude and longtitude on the map. I think the camera view has some effect as well.

figure('units','normalized','outerposition',[0 0 1 1]);
h=axesm ('globe','Grid', 'on');
axis off;
base = zeros(180,360); baseref = [1 90 0];
geoshow(base,baseref,'FaceColor','white')
load coast; % load all the map lines 
plotm(lat, long); % plot the world maps
view([90 0 0])

Answer 1

[darova]

If you have x,y,z coordinates use spherical system coordinate:

theta is longitude (from equator), phi - latitude

Latitude:

lat1 = asind(z);            % asin() [0 .. 90]degree

Longitude

t = asind(y/cosd(lat1));

Choose angle for longitude (0 .. 360)

t = [t, 180-t, 180+t, 360-t];
x1 = cosd(t)*cosd(lat1);
y1 = sind(t)*cosd(lat1);
long1 = t( abs(x-x1+y-y1) < 1e-3 );

[Heba El-Fiqi]

Thank you Darova, I like the way that you described for finding the longitude angle.

I tried the code, but unfortunately, it is not working well. I think it is an issue of finding the correct x,y,z.

I think the correct x,y,z, should be those inside the globe. While the get current point function returns the external x,y,z of the plotted 3D shape.

[darova]

I picked some points with Data Cursor and export them to workspace

[Heba El-Fiqi]

Thank you Darova, I understand now why it works compared to what I was testing.

I think the issue now is only about finding a continues way of mapping the current mouse location to its equivalent data cursor values. The globe projection makes it very different.