Search Results for author: Jason L. Williams

Found 16 papers, 7 papers with code

Multiobject Tracking for Thresholded Cell Measurements

no code implementations11 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.

Trajectory PMB Filters for Extended Object Tracking Using Belief Propagation

1 code implementation20 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.

Object Object Tracking

Multiple Object Trajectory Estimation Using Backward Simulation

no code implementations16 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.

Object

A Scalable Track-Before-Detect Method With Poisson/Multi-Bernoulli Model

no code implementations3 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.

Scalable Detection and Tracking of Geometric Extended Objects

no code implementations21 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.

Autonomous Driving Clustering +3

A Poisson multi-Bernoulli mixture filter for coexisting point and extended targets

1 code implementation9 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.

Backward Simulation for Sets of Trajectories

no code implementations5 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.

Trajectory Poisson multi-Bernoulli filters

no code implementations28 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.

Multi-Scan Implementation of the Trajectory Poisson Multi-Bernoulli Mixture Filter

1 code implementation4 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

Extended target Poisson multi-Bernoulli mixture trackers based on sets of trajectories

2 code implementations19 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

Gaussian implementation of the multi-Bernoulli mixture filter

1 code implementation23 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.

Poisson Multi-Bernoulli Approximations for Multiple Extended Object Filtering

1 code implementation4 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.

Object

Poisson multi-Bernoulli mixture filter: direct derivation and implementation

1 code implementation13 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.

Multiple scan data association by convex variational inference

no code implementations27 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.

Variational Inference

Approximate evaluation of marginal association probabilities with belief propagation

no code implementations12 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.

Marginal multi-Bernoulli filters: RFS derivation of MHT, JIPDA and association-based MeMBer

no code implementations14 Mar 2012 Jason L. Williams

Recent developments in random finite sets (RFSs) have yielded a variety of tracking methods that avoid data association.

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