no code implementations • 11 Mar 2024 • Thomas Kropfreiter, Jason L. Williams, Florian Meyer
Our numerical results demonstrate the advantages of the proposed method that relies on thresholded cell measurements compared to the conventional multiobject tracking based on point measurements with and without AM.
1 code implementation • 20 Jul 2022 • Yuxuan Xia, Ángel F. García-Fernández, Florian Meyer, Jason L. Williams, Karl Granström, Lennart Svensson
First, we present a PMBM conjugate prior on the posterior of sets of trajectories for a generalized measurement model, in which each object generates an independent set of measurements.
no code implementations • 16 Jun 2022 • Yuxuan Xia, Lennart Svensson, Ángel F. García-Fernández, Jason L. Williams, Daniel Svensson, Karl Granström
In this paper, we first derive a general multi-trajectory backward smoothing equation based on random finite sets of trajectories.
no code implementations • 3 Sep 2021 • Thomas Kropfreiter, Jason L. Williams, Florian Meyer
We propose a scalable track-before-detect (TBD) tracking method based on a Poisson/multi-Bernoulli model.
no code implementations • 21 Mar 2021 • Florian Meyer, Jason L. Williams
The proposed method dynamically introduces states of newly detected objects, efficiently performs probabilistic multiple-measurement to object association, and jointly infers the geometric shapes of objects.
1 code implementation • 9 Nov 2020 • Ángel F. García-Fernández, Jason L. Williams, Lennart Svensson, Yuxuan Xia
This paper proposes a Poisson multi-Bernoulli mixture (PMBM) filter for coexisting point and extended targets, i. e., for scenarios where there may be simultaneous point and extended targets.
no code implementations • 5 Aug 2020 • Yuxuan Xia, Lennart Svensson, Ángel F. García-Fernández, Karl Granström, Jason L. Williams
This paper presents a solution for recovering full trajectory information, via the calculation of the posterior of the set of trajectories, from a sequence of multitarget (unlabelled) filtering densities and the multitarget dynamic model.
no code implementations • 28 Mar 2020 • Ángel F. García-Fernández, Lennart Svensson, Jason L. Williams, Yuxuan Xia, Karl Granström
The filters are based on propagating a Poisson multi-Bernoulli (PMB) density on the corresponding set of trajectories through the filtering recursion.
1 code implementation • 4 Dec 2019 • Yuxuan Xia, Karl Granström, Lennart Svensson, Ángel F. García-Fernández, Jason L. Williams
A multi-scan trajectory PMBM filter and a multi-scan trajectory MBM filter, with the ability to correct past data association decisions to improve current decisions, are presented.
Signal Processing
2 code implementations • 19 Nov 2019 • Yuxuan Xia, Karl Granström, Lennart Svensson, Ángel F. García-Fernández, Jason L. Williams
The Poisson multi-Bernoulli mixture (PMBM) is a multi-target distribution for which the prediction and update are closed.
Signal Processing
1 code implementation • 23 Aug 2019 • Ángel F. García-Fernández, Yuxuan Xia, Karl Granström, Lennart Svensson, Jason L. Williams
This paper presents the Gaussian implementation of the multi-Bernoulli mixture (MBM) filter.
1 code implementation • 4 Jan 2018 • Yuxuan Xia, Karl Granström, Lennart Svensson, Maryam Fatemi, Ángel F. García-Fernández, Jason L. Williams
The Poisson multi-Bernoulli mixture (PMBM) is a multi-object conjugate prior for the closed-form Bayes random finite sets filter.
1 code implementation • 13 Mar 2017 • Ángel F. García-Fernández, Jason L. Williams, Karl Granström, Lennart Svensson
We provide a derivation of the Poisson multi-Bernoulli mixture (PMBM) filter for multi-target tracking with the standard point target measurements without using probability generating functionals or functional derivatives.
no code implementations • 27 Jul 2016 • Jason L. Williams, Roslyn A. Lau
Data association, the reasoning over correspondence between targets and measurements, is a problem of fundamental importance in target tracking.
no code implementations • 12 Sep 2012 • Jason L. Williams, Roslyn A. Lau
Data association, the problem of reasoning over correspondence between targets and measurements, is a fundamental problem in tracking.
no code implementations • 14 Mar 2012 • Jason L. Williams
Recent developments in random finite sets (RFSs) have yielded a variety of tracking methods that avoid data association.