Definition 19.7.3.5FD89093BE0B The Hausdorff metric between $K_1,K_2\in \mathcal{K}_ n$ is given by
\[ d_{\mathrm{Haus}}(K_1,K_2)\coloneqq \max \left\{ \adjustlimits \sup _{x_1\in K_1}\inf _{x_2\in K_2}|x_1-x_2|, \adjustlimits \sup _{x_2\in K_2}\inf _{x_1\in K_1}|x_1-x_2|\right\} . \]
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