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Topology Based Object Tracking

School of Computer Science & Informatics, Cardiff University, Cardiff CF24 3AA, Wales, UK
This paper is an extended version of our paper published in Proceedings of the 26th ACM SIGSPATIAL International Conference on Advances in Geographic Information Systems, Seattle, WA, 6–9 November 2018.
Math. Comput. Appl. 2019, 24(3), 84; https://doi.org/10.3390/mca24030084
Received: 23 August 2019 / Revised: 16 September 2019 / Accepted: 17 September 2019 / Published: 18 September 2019
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. View Full-Text
Keywords: spatial-temporal; topology; tracking spatial-temporal; topology; tracking
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Corcoran, P. Topology Based Object Tracking. Math. Comput. Appl. 2019, 24, 84.

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