I want to generate spherical from three given arrays, please help me out.

X=(0:0.02:1);
Y=(0:0.02:1);
[x,y] = meshgrid(X,Y);
%z=rand(size(x))*1000;
%z=1e6*ones(size(x));
z=ones(size(x));

x0=mean(X);
y0=mean(Y);
b_center1 = [0.2,0.8];
b_center2 = [0.6,0.2];
b_center3 = [0.4,0.55];
r1=0.1*max(X);
r2=0.1*max(X);
r3=0.1*max(X);

for i=1:length(X)
    for j=1:length(Y)
        dist = sph2cart([[X(i),Y(j)];b_center1]);
        if (dist < r1)
        z(i,j)=1;
        end
        
        dist = sph2cart([[X(i),Y(j)];b_center2]);
        if (dist < r2)
        z(i,j)=1;
        end
        
        dist = sph2cart([[X(i),Y(j)];b_center3]);
        if (dist < r3)
        z(i,j)=1;
        end
        
    end
end


surf(x,y,z)

Answer 1

[Constantino Carlos Reyes-Aldasoro]

We would need a better explanation of exactly what you want, but I think that the main issues are: 1) you are using sph2cart instead of cart2sph and 2) you are not treating your data as matrices. In general, in Matlab you should not use for loops when you can treat everything as a matrix. Try the following code:

X=(0:0.02:1);
Y=(0:0.02:1);
[x,y] = meshgrid(X,Y);
z=repmat(permute(-1:0.02:1,[ 3 1 2]),51,51);
[azimuth,elevation,r] = cart2sph(x,y,z);

Notice that the z was created in a single line, no need to loop. Then with x,y,z you can convert coordinates and then you have your spherical space.

h1=patch(isosurface(r,0.5));
view(60,10)
lighting phong
camlight right
h1.FaceColor='r';
h1.EdgeColor='none'

Hope this helps. Try for your problem. If this solves your problem, please accept the answer. I

[SHUBHAM SINGH CHOUDHARY]

[SHUBHAM SINGH CHOUDHARY]

I want to generate spherical clusters like this with three arrays

for above clusters I have used code like this

rvals = 2*rand(2000,1)-1;
elevation = asin(rvals);
azimuth = 2*pi*rand(2000,1);
radii = 3*(rand(2000,1).^(1/3));
[x,y,z] = sph2cart(azimuth,elevation,radii);
figure
plot3(x+8,y+8,z+8,'.');
hold on;
plot3(x+4,y+4,z+4, '.')
hold on;
plot3(x,y,z,'.')
axis equal