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Spatiotemporal Cons...
Spatiotemporal Constraints for Sets of Trajectories with Applications to PMBM Densities
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- Granström, Karl, 1981 (författare)
- Chalmers tekniska högskola,Chalmers University of Technology
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- Svensson, Lennart, 1976 (författare)
- Chalmers tekniska högskola,Chalmers University of Technology
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- Xia, Yuxuan, 1993 (författare)
- Chalmers tekniska högskola,Chalmers University of Technology
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- Garcia, Angel, 1984 (författare)
- University of Liverpool
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- Williams, Jason L. (författare)
- Commonwealth Scientific and Industrial Research Organisation (CSIRO)
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(creator_code:org_t)
- 2020
- 2020
- Engelska.
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Ingår i: Proceedings of 2020 23rd International Conference on Information Fusion, FUSION 2020. ; , s. 343-350
- Relaterad länk:
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https://doi.org/10.2...
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https://research.cha...
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Abstract
Ämnesord
Stäng
- In this paper we introduce spatiotemporal constraints for trajectories, i.e., restrictions that the trajectory must be in some part of the state space (spatial constraint) at some point in time (temporal constraint). Spatiotemporal contraints on trajectories can be used to answer a range of important questions, including, e.g., “where did the person that were in area A at time t, go afterwards?”. We discuss how multiple constraints can be combined into sets of constraints, and we then apply sets of constraints to set of trajectories densities, specifically Poisson Multi-Bernoulli Mixture (PMBM) densities. For Poisson target birth, the exact posterior density is PMBM for both point targets and extended targets. In the paper we show that if the unconstrained set of trajectories density is PMBM, then the constrained density is also PMBM. Examples of constrained trajectory densities motivate and illustrate the key results.
Ämnesord
- TEKNIK OCH TEKNOLOGIER -- Elektroteknik och elektronik -- Robotteknik och automation (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Electrical Engineering, Electronic Engineering, Information Engineering -- Robotics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Probability Theory and Statistics (hsv//eng)
- NATURVETENSKAP -- Data- och informationsvetenskap -- Datavetenskap (hsv//swe)
- NATURAL SCIENCES -- Computer and Information Sciences -- Computer Sciences (hsv//eng)
Nyckelord
- extended target
- sets of trajectories
- random finite sets
- point target
- spatiotemporal constraints
- multiple target tracking
- trajectory
- time constraints
- state space constraints
Publikations- och innehållstyp
- kon (ämneskategori)
- ref (ämneskategori)