Search Results for author: Ángel F. García-Fernández

Found 29 papers, 17 papers with code

Markov Chain Monte Carlo Data Association for Sets of Trajectories

no code implementations6 Dec 2023 Yuxuan Xia, Ángel F. García-Fernández, Lennart Svensson

This paper considers a batch solution to the multi-object tracking problem based on sets of trajectories.

Multi-Object Tracking

Graph GOSPA metric: a metric to measure the discrepancy between graphs of different sizes

no code implementations10 Nov 2023 Jinhao Gu, Ángel F. García-Fernández, Robert E. Firth, Lennart Svensson

This paper proposes a metric to measure the dissimilarity between graphs that may have a different number of nodes.

Attribute

Trajectory Poisson multi-Bernoulli mixture filter for traffic monitoring using a drone

no code implementations29 Jun 2023 Ángel F. García-Fernández, Jimin Xiao

This paper proposes a multi-object tracking (MOT) algorithm for traffic monitoring using a drone equipped with optical and thermal cameras.

Multi-Object Tracking Object +1

The Trajectory PHD Filter for Coexisting Point and Extended Target Tracking

no code implementations7 Oct 2022 Shaoxiu Wei, Ángel F. García-Fernández, Wei Yi

This paper develops a general trajectory probability hypothesis density (TPHD) filter, which uses a general density for target-generated measurements and is able to estimate trajectories of coexisting point and extended targets.

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

A comparison between PMBM Bayesian track initiation and labelled RFS adaptive birth

1 code implementation13 Jul 2022 Ángel F. García-Fernández, Yuxuan Xia, Lennart Svensson

This paper provides a comparative analysis between the adaptive birth model used in the labelled random finite set literature and the track initiation in the Poisson multi-Bernoulli mixture (PMBM) filter, with point-target models.

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

Data-driven clustering and Bernoulli merging for the Poisson multi-Bernoulli mixture filter

no code implementations27 May 2022 Marco Fontana, Ángel F. García-Fernández, Simon Maskell

This paper proposes a clustering and merging approach for the Poisson multi-Bernoulli mixture (PMBM) filter to lower its computational complexity and make it suitable for multiple target tracking with a high number of targets.

Clustering

A time-weighted metric for sets of trajectories to assess multi-object tracking algorithms

1 code implementation26 Oct 2021 Ángel F. García-Fernández, Abu Sajana Rahmathullah, Lennart Svensson

This paper proposes a metric for sets of trajectories to evaluate multi-object tracking algorithms that includes time-weighted costs for localisation errors of properly detected targets, for false targets, missed targets and track switches.

Multi-Object Tracking

An analysis on metric-driven multi-target sensor management: GOSPA versus OSPA

no code implementations22 Oct 2021 Ángel F. García-Fernández, Marcel Hernandez, Simon Maskell

On the contrary, as a consequence of the spooky effect at a distance in optimal OSPA/UOSPA estimation, the optimal actions for different sensors using OSPA and UOSPA are entangled.

Management

Continuous-discrete multiple target tracking with out-of-sequence measurements

1 code implementation9 Jun 2021 Ángel F. García-Fernández, Wei Yi

When we receive an OOS measurement, the optimal Bayesian processing performs a retrodiction step that adds trajectory information at the OOS measurement time stamp followed by an update step.

Temporal Parallelization of Inference in Hidden Markov Models

1 code implementation10 Feb 2021 Sakira Hassan, Simo Särkkä, Ángel F. García-Fernández

This paper presents algorithms for parallelization of inference in hidden Markov models (HMMs).

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.

Poisson Multi-Bernoulli Mixtures for Sets of Trajectories

1 code implementation17 Dec 2019 Karl Granström, Lennart Svensson, Yuxuan Xia, Jason Williams, Ángel F. García-Fernández

First, we show that, for the standard point target model, the PMBM density is conjugate also for sets of trajectories.

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.

Spooky effect in optimal OSPA estimation and how GOSPA solves it

no code implementations23 Aug 2019 Ángel F. García-Fernández, Lennart Svensson

In this paper, we show the spooky effect at a distance that arises in optimal estimation of multiple targets with the optimal sub-pattern assignment (OSPA) metric.

An Implementation of the Poisson Multi-Bernoulli Mixture Trajectory Filter via Dual Decomposition

1 code implementation29 Nov 2018 Yuxuan Xia, Karl Granström, Lennart Svensson, Ángel F. García-Fernández

This paper proposes an efficient implementation of the Poisson multi-Bernoulli mixture (PMBM) trajectory filter.

Trajectory PHD and CPHD filters

1 code implementation21 Nov 2018 Ángel F. García-Fernández, Lennart Svensson

This paper presents the probability hypothesis density filter (PHD) and the cardinality PHD (CPHD) filter for sets of trajectories, which are referred to as the trajectory PHD (TPHD) and trajectory CPHD (TCPHD) filters.

Gaussian process classification using posterior linearisation

no code implementations13 Sep 2018 Ángel F. García-Fernández, Filip Tronarp, Simo Särkkä

This paper proposes a new algorithm for Gaussian process classification based on posterior linearisation (PL).

Classification General Classification

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 target tracking based on sets of trajectories

1 code implementation26 May 2016 Ángel F. García-Fernández, Lennart Svensson, Mark R. Morelande

We propose a solution of the multiple target tracking (MTT) problem based on sets of trajectories and the random finite set framework.

Trajectory probability hypothesis density filter

no code implementations24 May 2016 Ángel F. García-Fernández, Lennart Svensson

This paper presents the probability hypothesis density (PHD) filter for sets of trajectories: the trajectory probability density (TPHD) filter.

A metric on the space of finite sets of trajectories for evaluation of multi-target tracking algorithms

1 code implementation4 May 2016 Ángel F. García-Fernández, Abu Sajana Rahmathullah, Lennart Svensson

In this paper, we propose a metric on the space of finite sets of trajectories for assessing multi-target tracking algorithms in a mathematically sound way.

Generalized optimal sub-pattern assignment metric

2 code implementations21 Jan 2016 Abu Sajana Rahmathullah, Ángel F. García-Fernández, Lennart Svensson

This paper presents the generalized optimal sub-pattern assignment (GOSPA) metric on the space of finite sets of targets.

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