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Computer Science > Computational Geometry

arXiv:2108.03114 (cs)
[Submitted on 5 Jul 2021 (v1), last revised 23 Sep 2021 (this version, v2)]

Title:Beyond the Hausdorff Metric in Digital Topology

Authors:Laurence Boxer
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Abstract: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.
Subjects: Computational Geometry (cs.CG); Computer Vision and Pattern Recognition (cs.CV); Metric Geometry (math.MG)
MSC classes: 54B20
Cite as: arXiv:2108.03114 [cs.CG]
  (or arXiv:2108.03114v2 [cs.CG] for this version)
  https://doi.org/10.48550/arXiv.2108.03114

Submission history

From: Laurence Boxer [view email]
[v1] Mon, 5 Jul 2021 21:24:25 UTC (48 KB)
[v2] Thu, 23 Sep 2021 20:55:33 UTC (49 KB)
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