# How to plot the 3D spherical histogram?

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Pei Wang on 21 Feb 2020
Commented: YONG TANG on 17 Mar 2020 at 7:19
Hello,
I have a set of normal directions in 3D and I want to plot the histogram. But seem matlab only have 2D option. Is there any method I could have a plot like the attached figure? Or any other software could solve the problem?
Thanks a lot! #### 1 Comment

YONG TANG on 17 Mar 2020 at 7:19
hi pei,
did you solve this problem?
recently, I'm also trying to plot some figures like what you mentioned.
could you give me some suggestions?
best,
yong

darova on 21 Feb 2020
You can create it manually
clc,clear
v = rand(10,3)*2-1;
v0 = v(:,1)*0;
quiver3(v0,v0,v0,v(:,1),v(:,2),v(:,3),1)
axis equal
hold on
[ph,th,r] = cart2sph(v(:,1),v(:,2),v(:,3));
[X,Y,Z] = deal(zeros(4));
for i = 1:size(v,1)
ph1 = ph(i) + pi/180*[-1 1 -1 1]*5; % azimuth phi
th1 = th(i) + pi/180*[1 1 -1 -1]*5; % elevation theta
[x1,y1,z1] = sph2cart(ph1,th1,r(i));
X([6 7 10 11]) = x1;
Y([6 7 10 11]) = y1;
Z([6 7 10 11]) = z1;
surf(X,Y,Z,'facecolor',rand(1,3))
pause(0.5)
end
hold off
alpha(0.5)

#### 1 Comment

darova on 21 Feb 2020
cmap = jet(50);
for i = 1:size(v,1)
%% ...
ix = round(r(i)/max(r)*49)+1;
surf(X,Y,Z,'facecolor',cmap(ix,:))
pause(0.5)
end 