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Closest coordinate points between 2 data sets

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ha ha
ha ha on 24 Feb 2019
Edited: ha ha on 24 Feb 2019
Let's say: I have 2 dataset containning 3d points:
A=[1 1 1;1.5 1 1;2 1 1;2.5 1 1;3 1 1;1 2 1;3 2 1;1 3 1;1.5 3 1;2 3 1;2.5 3 1;3 3 1;1 1.5 1;1 2.5 1;3 1.5 1;3 2.5 1];
B=[2 1.1 1; 2 1.5 1;2 2 1; 2 2.5 1;2 2.9 1];%matrix contain 5 red points
How can we find the point belong to matrix B, that having the smallest distance to any point belong to matrix A?

Accepted Answer

ha ha
ha ha on 24 Feb 2019
clear;clc;
A=[1 1 1;1.5 1 1;2 1 1;2.5 1 1;3 1 1;1 2 1;3 2 1;1 3 1;1.5 3 1;2 3 1;2.5 3 1;3 3 1;1 1.5 1;1 2.5 1;3 1.5 1;3 2.5 1];
B=[2 1.1 1; 2 1.5 1;2 2 1; 2 2.5 1;2 2.9 1];
scatter3(A(:,1),A(:,2),A(:,3),51,'k.');
hold on;scatter3(B(:,1),B(:,2),B(:,3),91,'r.');
xlim([0 5]) ;ylim([0 5]);
%%
distances = pdist2(A(:, 1:2), B(:, 1:2));%calculate the distance between 2 datasets
minDistance = min(distances(:));%find the minimum value of distance
[rowOfA, rowOfB] = find(distances == minDistance);
B_coord_closest=B(rowOfB,:);%the point belong to B having the nearest distance to dataset A
hold on;scatter3(B_coord_closest(:,1),B_coord_closest(:,2),B_coord_closest(:,3),'*');
legend('dataset A','dataset B','the result point');
2.JPG
3.png

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