Topology Based Object Tracking

A model for tracking objects whose topological properties change over time is proposed. Such changes include the splitting of an object into multiple objects or the merging of multiple objects into a single object. The proposed model employs a novel formulation of the tracking problem in terms of ho...

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Bibliographic Details
Main Author: Padraig Corcoran
Format: Article
Language:English
Published: MDPI AG 2019-09-01
Series:Mathematical and Computational Applications
Subjects:
Online Access:https://www.mdpi.com/2297-8747/24/3/84
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spelling doaj-eb0829f4a41b46609854f2bcdb1bcc7c2020-11-25T01:55:17ZengMDPI AGMathematical and Computational Applications2297-87472019-09-012438410.3390/mca24030084mca24030084Topology Based Object TrackingPadraig Corcoran0School of Computer Science & Informatics, Cardiff University, Cardiff CF24 3AA, Wales, UKA model for tracking objects whose topological properties change over time is proposed. Such changes include the splitting of an object into multiple objects or the merging of multiple objects into a single object. The proposed model employs a novel formulation of the tracking problem in terms of homology theory whereby 0-dimensional homology classes, which correspond to connected components, are tracked. A generalisation of this model for tracking spatially close objects lying in an ambient metric space is also proposed. This generalisation is particularly suitable for tracking spatial-temporal phenomena such as rain clouds. The utility of the proposed model is demonstrated with respect to tracking communities in a social network and tracking rain clouds in radar imagery.https://www.mdpi.com/2297-8747/24/3/84spatial-temporaltopologytracking
collection DOAJ
language English
format Article
sources DOAJ
author Padraig Corcoran
spellingShingle Padraig Corcoran
Topology Based Object Tracking
Mathematical and Computational Applications
spatial-temporal
topology
tracking
author_facet Padraig Corcoran
author_sort Padraig Corcoran
title Topology Based Object Tracking
title_short Topology Based Object Tracking
title_full Topology Based Object Tracking
title_fullStr Topology Based Object Tracking
title_full_unstemmed Topology Based Object Tracking
title_sort topology based object tracking
publisher MDPI AG
series Mathematical and Computational Applications
issn 2297-8747
publishDate 2019-09-01
description A model for tracking objects whose topological properties change over time is proposed. Such changes include the splitting of an object into multiple objects or the merging of multiple objects into a single object. The proposed model employs a novel formulation of the tracking problem in terms of homology theory whereby 0-dimensional homology classes, which correspond to connected components, are tracked. A generalisation of this model for tracking spatially close objects lying in an ambient metric space is also proposed. This generalisation is particularly suitable for tracking spatial-temporal phenomena such as rain clouds. The utility of the proposed model is demonstrated with respect to tracking communities in a social network and tracking rain clouds in radar imagery.
topic spatial-temporal
topology
tracking
url https://www.mdpi.com/2297-8747/24/3/84
work_keys_str_mv AT padraigcorcoran topologybasedobjecttracking
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