How to calculate distance between a set of point to multiple point

Hi there, I have two sets of coordinates,

setA = [2,1; 2,3; 4,6];
setB = [8,8; 9,8; 3,7; 5,8; 9,2; 3,4; 5,7];

and I wanted to calculate the distance between the two sets, for example, the first coordinate of "setA" [2,1] to all the coordinates in "setB" and the second coordinate in "setA" [2,3] also with the all in "setB", and so on..., and at the end, i'll have 7 sets of distance calculated in each of the "setA", how can I do it? Thanks.

-Chann-

Answer 1

[Dyuman Joshi]

setA = [2,1; 2,3; 4,6];
setB = [8,8; 9,8; 3,7; 5,8; 9,2; 3,4; 5,7];

%single element
dist=vecnorm(setB-setA(1,:),2,2)

dist = 7×1

9.2195 9.8995 6.0828 7.6158 7.0711 3.1623 6.7082

%for all the points in setA
s=size(setA,1);
%pre-allocation 
y=cell(1,s);
for idx=1:s
    y{1,idx}=vecnorm(setB-setA(idx,:),2,2);
end
y

y = 1×3 cell array
    {7×1 double}    {7×1 double}    {7×1 double}

%you can compare the values to the above result for reference
y{1}

ans = 7×1

9.2195 9.8995 6.0828 7.6158 7.0711 3.1623 6.7082

Here, y{1} will correspond to distances of 1st point of setA to all points of setB

y{2} for 2nd point of setA to all points of setB

and y{3} for 3rd point of setA to all points of setB

[Shin]

Hi Dyuman Joshi, thanks for the fast reply, the code works as I wish, thanks a lot, appreciate it .

[Dyuman Joshi]

You are welcome!