Create a Matrix with Euclidian Distances between Coordinates

I have a 8x2x3 Matrix called "Dot_Space" with X and Y coordinates.

8 is the number of dots per row.

2 are the respective X and Y coordinates.

3 is the number of rows.

Now I would like to create a matrix that includes all euclidian distances between the dots.

% Euclidian distance between two points in two dimensional space: d(p,q) = sqrt((q1-p1)^2 + (q2-p2)^2)

for i = 1:length(Dot_Space)

for j = 1:length(Dot_Space)

for n = Number_of_Rows

if i ~= j

Distance(i,j,n) = sqrt((Dot_Space(i,1,n)-Dot_Space(j,1,n))^2 + (Dot_Space(i,2,n) Dot_Space(j,2,n))^2);

end

end

end

end

I assume that the amount of possible combinations/distances must exceed the size of the returned matrix and I forgot to implement something crucial. Someone with more experience in MatLab will probably be able to point out my mistake?!

Thank you very much!

Answer 1

[KSSV]

A = rand(8,2,3) ;
B = permute(A,[1 3 2]);
B = reshape(B,[],size(A,2),1) ;
iwant = squareform(pdist(B))

[Gabriel Germann]

Thank you, this solved it for me!