A Linear Algorithm for Multi-Target Tracking in the Context of Possibility Theory

We present a modelling framework for multi-target tracking based on possibility theory and illustrate its ability to account for the general lack of knowledge that the target-tracking practitioner must deal with when working with real data. We also introduce and study variants of the notions of poin...

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Bibliographic Details
Published in:IEEE transactions on signal processing Vol. 69; pp. 2740 - 2751
Main Author: Houssineau, Jeremie
Format: Journal Article
Language:English
Published: New York IEEE 2021
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Algorithms
Modelling
Multiple target tracking
observation-driven birth
PHD filter
point process
Possibility theory
Probabilistic logic
Probability distribution
Random variables
Target tracking
Uncertainty
ISSN:1053-587X, 1941-0476
Online Access:Get full text
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Summary:We present a modelling framework for multi-target tracking based on possibility theory and illustrate its ability to account for the general lack of knowledge that the target-tracking practitioner must deal with when working with real data. We also introduce and study variants of the notions of point process and intensity function, which lead to the derivation of an analogue of the probability hypothesis density (PHD) filter. The gains provided by the considered modelling framework in terms of flexibility lead to the loss of some of the abilities that the PHD filter possesses; in particular the estimation of the number of targets by integration of the intensity function. Yet, the proposed recursion displays a number of advantages such as facilitating the introduction of observation-driven birth schemes and the modelling the absence of information on the initial number of targets in the scene. The performance of the proposed approach is demonstrated on simulated data.
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ISSN:1053-587X
1941-0476
DOI:10.1109/TSP.2021.3077304