Distance between ALL(all combinations) points of matrix

How can i have a vector which consists of all the distances betweeen all points of matrix? I have 3D matrix B = 151*3 with points coordinates (X,Y,Z are columns). Possible combination of all this points should be 11325(n = 151,k=2).

`I can calculate the distance between 2 3d points like this:

dist = norm(B(1,:,:)-B(2,:,:))

but unfortunately my for loop doesn't work:

n = size(B,1)
for k = 1:n-1
    for a = k:n-1;
        Z1 = B(k,:,:);
        Z2 = B(a+1,:,:);
        dist = norm(Z2 - Z1);
end
end

it returns only one number , but i want to have a vector with all distances, so i can make a histogram from it.

Where is the mistake of the for loop? Or can i solve this with repmat function?

Thank you!

Answer 1

[Rik]

Note that you are not calculating only unique combinations. The reason you are only getting a single value is that you are not indexing your output variable.

What you should do is generate the matrix of indices of the combinations and then loop through that matrix. You can use nchoosek to create the matrix.