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Topology based object tracking

Corcoran, Padraig 2019. Topology based object tracking. Mathematical and Computational Applications 24 (3) , 84. 10.3390/mca24030084

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Abstract

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.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Computer Science & Informatics
Publisher: MDPI
ISSN: 1300-686X
Date of First Compliant Deposit: 30 October 2019
Date of Acceptance: 19 September 2019
Last Modified: 30 Oct 2019 12:15
URI: http://orca-mwe.cf.ac.uk/id/eprint/126131

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