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Feb 19, 2010 at 17:26 comment added Pete L. Clark In light of the OP's more recent comment above -- that S is finite -- I withdraw my above comment.
Feb 19, 2010 at 17:17 comment added Pete L. Clark I suspect that this is not a useful answer to the OP's question (note that he clarifies it in one of the comments above). Also note that the Hausdorff distance is defined only between compact (not just closed) subsets of a complete metric space, and the OP did not say that his set S is compact. Indeed, the Hausdorff distance between a bounded set and an unbounded set is infinite.
Feb 19, 2010 at 17:15 comment added Nemanja Thanks for Hausdorff metric. I don't get exactly what is the significance of my representation of a set ?
Feb 19, 2010 at 17:06 history edited Russell O'Connor CC BY-SA 2.5
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Feb 19, 2010 at 17:01 history answered Russell O'Connor CC BY-SA 2.5