# compact way to calculate euclidean distance among points

2 views (last 30 days)
Sim on 11 Oct 2022
Edited: Sim on 12 Oct 2022
What is a compact way to calculate the euclidean distance among point "a" and the four points "b" ?
% Input:
a = [0,0]; % x_a, y_a
b = [0,1; % x_b, y_b
2,1;
1,1;
1,3];
% Output:
% A non-compact solution, including the visualization of points and distances (lines)
hold on
plot(a(:,1),a(:,2),'o','markerfacecolor','r') % point "a"
plot(b(:,1),b(:,2),'o','markerfacecolor','r') % points "b"
for i = 1 : 4
d(i,:) = sqrt( (a(:,1)-b(i,1))^2 + (a(:,2)-b(i,2))^2 ); % euclidean distance
plot([a(:,1), b(i,1)], [a(:,2), b(i,2)]) % lines connecting point "a" to points "b"
end
hold off
axis equal
d
d = 4×1
1.0000 2.2361 1.4142 3.1623

Torsten on 11 Oct 2022
% x_a, y_a
a = [0,0];
% x_b, y_b
b = [0,1;
2,1;
1,1;
1,3];
D = pdist2(a,b)
D = 1×4
1.0000 2.2361 1.4142 3.1623
Sim on 12 Oct 2022
thanks a lot! :-)

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