A Metric on the Space of Finite Sets of Trajectories for Evaluation of Multi-Target Tracking Algorithms



Garcia-Fernandez, Angel ORCID: 0000-0002-6471-8455, Rahmathullah, Abu Sajana and Svensson, Lennart
(2020) A Metric on the Space of Finite Sets of Trajectories for Evaluation of Multi-Target Tracking Algorithms. IEEE Transactions on Signal Processing, 68. pp. 3917-3928.

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Abstract

In this article, we propose a metric on the space of finite sets of trajectories for assessing multi-target tracking algorithms in a mathematically sound way. The main use of the metric is to compare estimates of trajectories from different algorithms with the ground truth of trajectories. The proposed metric includes intuitive costs associated to localization error for properly detected targets, missed and false targets and track switches at each time step. The metric computation is based on solving a multi-dimensional assignment problem. We also propose a lower bound for the metric, which is also a metric for sets of trajectories and is computable in polynomial time using linear programming. We also extend the proposed metrics on sets of trajectories to random finite sets of trajectories.

Item Type: Article
Uncontrolled Keywords: Metrics, sets of trajectories, multiple target tracking, random finite sets
Depositing User: Symplectic Admin
Date Deposited: 07 Jul 2020 09:13
Last Modified: 18 Jan 2023 23:46
DOI: 10.1109/TSP.2020.3005309
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3093113