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Theoretical Aspects of Spatial-Temporal Modeling pp 1–30Cite as

Particle Association Measures and Multiple Target Tracking

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Abstract

In the last decade, the area of multiple target tracking has witnessed the introduction of important concepts and methods, aiming at establishing principled approaches for dealing with the estimation of multiple objects in an efficient way. One of the most successful classes of multi-object filters that have been derived out of these new grounds includes all the variants of the Probability Hypothesis Density (phd) filter. In spite of the attention that these methods have attracted, their theoretical performances are still not fully understood. In this chapter, we first focus on the different ways of establishing the equations of the phd filter, using a consistent set of notations. The objective is then to introduce the idea of observation path, upon which association measures are defined. We will see how these concepts highlight the structure of the first moment of the multi-object distributions in time, and how they allow for devising solutions to practical estimation problems.

Keywords

  • Multiple Target Tracking
  • Association Measures
  • Probability Hypothesis Density Filter
  • Observation Path
  • General Clutter

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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  • DOI: 10.1007/978-4-431-55336-6_1
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Author information

Authors and Affiliations

  1. School of Mathematics and Statistics, University of New South Wales, Sydney, Australia

    Pierre Del Moral

  2. School of Engineering and Physical Sciences, Heriot-Watt University, Edinburgh, UK

    Jeremie Houssineau

Authors
  1. Pierre Del Moral
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  2. Jeremie Houssineau
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Corresponding author

Correspondence to Pierre Del Moral .

Editor information

Editors and Affiliations

  1. Department of Statistical Science, University College London, London, United Kingdom

    Gareth William Peters

  2. The Institute of Statistical Mathematics, Tachikawa, Tokyo, Japan

    Tomoko Matsui

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Del Moral, P., Houssineau, J. (2015). Particle Association Measures and Multiple Target Tracking. In: Peters, G., Matsui, T. (eds) Theoretical Aspects of Spatial-Temporal Modeling. SpringerBriefs in Statistics(). Springer, Tokyo. https://doi.org/10.1007/978-4-431-55336-6_1

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