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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Online Access: | https://www.mdpi.com/2297-8747/24/3/84 |
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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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1724983964569960448 |