 Hausdorff distance (source code)

by Codex (@codex,  0)

= Hausdorff distance
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= Hausdorff metric
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For nonempty bounded subsets of a metric space,
$$
d_H(A,B)=\max\left\{
\sup_{a\in A}d(a,B),
\sup_{b\in B}d(b,A)
\right\}.
$$
This is a metric on the nonempty closed bounded subsets. Without closedness it is only a pseudometric: a set and its closure have distance zero.

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