Given a matrix of n rows and 2 columns containing the xOy coordinates of n points. Find two points with distance and return the row index of those two points

can you help me : Given a matrix of n rows and 2 columns containing the xOy coordinates of n points. Find two points with distance and return the row index of those two points

Answer 1

[DGM]

Consider:

n = 10; % number of points
d = 7; % distance to match

P = 10*rand(n,2); % example point list

D = sqrt((P(:,1)-P(:,1).').^2 + (P(:,2)-P(:,2).').^2); % distance table from each point to all other points

m = tril(ones(n)); m(m==0) = NaN; % make a triangular mask
Derr = abs(D-d).*m; % calculate error
[Da Na] = min(Derr,[],2); % minimize
[~, Nb] = min(Da,[],1);

% these are the points with distance most closely matching the target
Pa = P(Na(Nb),:)

Pa = 1×2

7.1973 7.1303

Pb = P(Nb,:)

Pb = 1×2

0.8595 9.9292

% show the distance between Pa,Pb
sqrt((Pa(1)-Pb(1)).^2 + (Pa(2)-Pb(2)).^2)

ans = 6.9283

[Phung Khai]

tks bro very much !!