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Euclidean distance of all pairwise combinations (redundants)

  • To: mathgroup at smc.vnet.net
  • Subject: [mg128655] Euclidean distance of all pairwise combinations (redundants)
  • From: Jesse Pisel <jessepisel at gmail.com>
  • Date: Wed, 14 Nov 2012 01:29:06 -0500 (EST)
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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?




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