How to measure the shortest distance among different points using Matlab

Lets suppoese i have the points as shown by B. For example, P1(1,1,2 ), P2(1,2,3 ) etc as shown by B. I want to measure the shortest distance among these points.

x = B(:,1), y =B(:,2) and z = B(:,3).

Thanks in advance for support from community members. Regards!

B =
     1     1     3
     1     2     3
     2     3     1
     2     3     2
     3     1     1
     3     3     1
     3     3     2

[Sudhakar Shinde]

Checkout:

https://www.mathworks.com/matlabcentral/answers/16848-how-to-find-distance-between-two-points

[KSSV]

Read about pdist.

https://in.mathworks.com/help/stats/pdist.html

[M.S. Khan]

Thanks Sudkhakr Shinde and KSSV for your kind reply. Actually, we can use 'norm' function to measure distance between two points. But i want to measure the distance among all the points, then i want to pick the minimum distance. Please any help. Regards

[KSSV]

That's what pdist does....did you read the documentation?

[M.S. Khan]

Dear KSSV, i am trying to understand its documentation and then will apply. Thanks for your guidance. Regards!

Answer 1

[Jakob]

B = randi([-10 10],5,3); % just some random numbers
minimum = sqrt(sum((B(1,:)- B(2,:)).^2));
for i = 1 : size(B,1)-1
    for j = i+1 : size(B,1)
        minimum = min(minimum,sqrt(sum((B(i,:)- B(j,:)).^2)));
    end
end
disp(minimum)

[Jakob]

But thats basically pdist lol

[M.S. Khan]

Thanks KSSV, pdist() functions works. Thanks for reply Dear Jakob. your code and pdist() function works same.