Plotting spherical coordinate system in Matlab

Question

I want to draw a spherical coordinate system in Matlab.

This is the kind of image I'd like to create:

Could someone give me some hints? (So far I've plotted the cartesian coordinates)

Here is what I have tried myself:

hold on
x0=0;
y0=0;
z0=0;

plot3(x0+[0, 1, nan, 0, 0, nan, 0, 0], y0+[0, 0, nan, 0, 1, nan, 0, 0], z0+[0, 0, nan, 0, 0, nan, 0, 1] )       
text([x0+1, x0, x0], [y0, y0+1, y0], [z0, z0, z0+1], ['X';'Y';'Z']);

r=0.5;
[x,y,z] = sphere(100); 
hsurf = surf(x*r, y*r, z*r);
axis equal;

Answer 1

function[]=SphereToCartesian(r,theta,phi)
%% plot cartesian coordinates:
plot3([0 0 0;r 0 0],[0 0 0;0 r 0],[0 0 0;0 0 r],'k');

%% plot the ball
line('xdata',sphcart(r,theta,phi,'x'),'ydata',sphcart(r,theta,phi,'y'),'zdata',sphcart(r,theta,phi,'z'),'marker','.','markersize',5);

%% Plot the arm
line('xdata',[0 sphcart(r,theta,phi,'x')],'ydata',[0 sphcart(r,theta,phi,'y')],'zdata',[0 sphcart(r,theta,phi,'z')],'linestyle','--');

%% Plot the projections
line('xdata',[0 sphcart(r,theta,phi,'x')],'ydata',[0 sphcart(r,theta,phi,'y')],'zdata',[0 0],'linestyle','--');

%% Plot the arcs
thetas=[0:0.1:theta theta];
line('xdata',sphcart(.1*r,thetas,phi,'x'),'ydata', sphcart(.1*r,thetas,phi,'y'),'zdata',sphcart(.1*r,thetas,phi,'z'));

%% Labels
text(sphcart(r,theta,phi,'x'),sphcart(r,theta,phi,'y'),sphcart(r,theta,phi,'z'),'r (x,y,z)')

%% transform
 function[OUT]=sphcart(R,THETA,PHI,COORD)
  if strcmpi(COORD,'x')
   OUT=R.*cos(THETA).*cos(PHI);
  elseif strcmpi(COORD,'y')
   OUT=R.*cos(THETA).*sin(PHI);
  elseif strcmpi(COORD,'z')
   OUT=R.*sin(THETA)
  else
   disp('Wrong coordinate!');
   OUT=nan;
  end
 end
end

The rest you can do using axes and figure properties.