Distance between two set of points in space

Hello,

So I have a set of points in a matrix A 10x3 ( i.e 10 points with x,y,z coordinates) and another set of points in a matrix B 10x3. I want to find the distance between each point of A with each point of B whitout using a for loop.

Normally I would fix a point in A and compute all the distances with the points in B and then choose another point in A and do the same and so on. Is there a way to do it directly from the matrix A and B whitout a loop ?

Answer 1

[Matt J]

distances = pdist2(A,B);

Answer 2

[David Hill]

Why no loop? Below is oneliner but has an internal loop.

C=arrayfun(@(x)vecnorm((A(x,:)-B)'),1:size(A,1),'UniformOutput',false);

[andrea]

Yes thank you for the answer, that's nice. I thought that there could have been a better way without using for loop (some kind of vectorization) because in the case I have lots of points a for loop starts to be very slow.

[David Hill]

Matt J answer is better.

pdist2(A,B)