What is the best way to store groups of 3 nearest non-zero pixels?

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Steve
Steve 2019-9-6
评论： Steve 2019-9-30
3_endpoint_sets_of_3_BW.bmp
I would like to identify and store each set of 3 closest points (as seen in the attached image) in a separate variable. So in this case, there would be three variables created--one for each set of three points. What would be the most efficient way to do this? Thanks in advance for your help!

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Matt J
Matt J 2019-9-6
编辑：Matt J 2019-9-6
I would like to identify and store each set of 3 closest points (as seen in the attached image) in a separate variable.
No, you should not organize the result that way. What you should do is create a cell array called Triplets, such that Triplets{i} contains the points in the i-th triplet as a 2x3 matrix.
[I,J]=find(~yourImage);
X=[I,J];
[D,K]=pdist2(X,X,'euclidean','Smallest',3); X=X.';
K=unique( sort(K).', 'rows').'; K=K(:);
assert(numel(unique(K))==numel(K) ,'Points not well-separated enough for threshold' );
Triplets=num2cell( reshape( X(:,K), 2,3,[] ) ,[1,2]);
Triplets=Triplets(:).';
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Matt J
Matt J 2019-9-6
Glad it worked. Just Accept-click the answer and that will be thanks enough :-)
Steve
Steve 2019-9-30
Hi Matt,
I could really use your expertise again. I need to figure out how to modify your code in order to find the 10 nearest points to every other point within a group of points (i.e., 10 nearest neighrbors). The points I speak of are the Fermat center points to the Triplets we found in the previous task. I have found all these "Fermat points" and have their coordinates in the attached file (F_points.mat). As always, any help you could offer would be greatly appreciated.
Best
Steve

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