# Beyond the Hausdorff Metric in Digital Topology

arXiv: https://arxiv.org/abs/2108.03114 · HTML: https://mlsanity.com/paper/2108.03114/

## Key facts

- No citing papers in the map yet (data through 14 Oct 2026).
- Builds on 0 of its 22 references that are in the map.
- First posted on arXiv 5 Jul 2021.

## Abstract (arXiv)

Two objects may be close in the Hausdorff metric, yet have very different geometric and topological properties. We examine other methods of comparing digital images such that objects close in each of these measures have some similar geometric or topological property. Such measures may be combined with the Hausdorff metric to yield a metric in which close images are similar with respect to multiple properties.