Hausdorff metric

English

Noun

1. Template:Lb In the abstract metric space of all compact subsets of ${ℝ}^n$, given a pair of compact sets A and B, the Hausdorff metric is $h(A,B)=\text{max}\{\rho (A,B),\rho (B,A)\}$ where $\rho (A,B)=\underset{a\in A}{\sup }\underset{b\in B}{\inf }d(a,b)$, where d is the Euclidean metric in ${ℝ}^n$.

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Further reading

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