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Two objects may be close in the Hausdorff metric, yet have very differentgeometric and topological properties. We examine other methods of comparingdigital images such that objects close in each of these measures have somesimilar geometric or topological property. Such measures may be combined withthe Hausdorff metric to yield a metric in which close images are similar withrespect to multiple properties.

Beyond the Hausdorff Metric in Digital Topology