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Topic: Euclidean distance of all pairwise combinations (redundants)
Replies: 7   Last Post: Feb 1, 2013 1:16 AM

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 Jesse Pisel Posts: 3 Registered: 11/14/12
Euclidean distance of all pairwise combinations (redundants)
Posted: Nov 14, 2012 1:33 AM

I have been having a tough time trying to figure out how to include all red undant pairwise combinations in my results for the euclidean distance between a set of points. I have a set of points with xy coordinates and want the euclidean distance between each point including the point and itself. So if my points in xy space are list = {{1, 1}, {2, 2}, {3, 3}} for example, I want the distance from {1, 1} to {1, 1}, {1, 1} to {2, 2}, and {2, 2} to {3, 3} etc. for each point for a total of 9 distances all together. The EuclideanDistance function removes the redundant distances that I want retained in the results. I have been using this code just to play with data but would like to be able to expand up to 500+ points:

list = {{1, 1}, {2, 2}, {3, 3}}
EuclideanDistance @@@ Subsets[list, {2}]

Any ideas on how to get the euclidean distance between all the points including redundants and self references?

Date Subject Author
11/14/12 Jesse Pisel
11/15/12 Nasser Abbasi
11/18/12 Ray Koopman
2/1/13 Francisco Gutierrez
2/1/13 Ray Koopman
2/1/13 Bob Hanlon