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The probability hypothesis density (PHD) and Poisson multi-Bernoulli (PMB) filters are two popular set-type multi-object filters. Motivated by the fact that the multi-object filtering density after each update step in the PHD filter is a…

Signal Processing · Electrical Eng. & Systems 2024-07-23 Yuxuan Xia , Ángel F. García-Fernández , Lennart Svensson

This paper focuses on the joint multi-object tracking (MOT) and the estimate of detection probability with the \emph{Poisson multi-Bernoulli mixture} (PMBM) filter. In a majority of multi-object scenarios, the knowledge of detection…

Systems and Control · Electrical Eng. & Systems 2019-09-24 Guchong Li

In this paper we derive a multi-sensor multi-Bernoulli (MS-MeMBer) filter for multi-target tracking. Measurements from multiple sensors are employed by the proposed filter to update a set of tracks modeled as a multi-Bernoulli random finite…

Methodology · Statistics 2017-10-11 Augustin-Alexandru Saucan , Mark Coates , Michael Rabbat

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. The PMBM…

Applications · Statistics 2022-07-14 Ángel F. García-Fernández , Yuxuan Xia , Lennart Svensson

The ability of an autonomous vehicle to perform 3D tracking is essential for safe planing and navigation in cluttered environments. The main challenges for multi-object tracking (MOT) in autonomous driving applications reside in the…

Robotics · Computer Science 2021-03-16 Su Pang , Hayder Radha

This paper introduces a Poisson multi-Bernoulli mixture (PMBM) filter in which the intensities of target birth and undetected targets are grid-based. A simplified version of the Rao-Blackwellized point mass filter is used to predict the…

Signal Processing · Electrical Eng. & Systems 2021-03-22 Per Boström-Rost , Daniel Axehill , Gustaf Hendeby

The paper [12] discussed two approaches for multitarget tracking (MTT): the generalized labeled multi-Bernoulli (GLMB) filter and three Poisson multi-Bernoulli mixture (PMBM) filters. The paper [13] discussed two frameworks for multitarget…

Systems and Control · Electrical Eng. & Systems 2024-11-05 Ronald Mahler

This paper proposes a multi-object tracking (MOT) algorithm for traffic monitoring using a drone equipped with optical and thermal cameras. Object detections on the images are obtained using a neural network for each type of camera. The…

Computer Vision and Pattern Recognition · Computer Science 2023-08-30 Ángel F. García-Fernández , Jimin Xiao

The probability hypothesis density (PHD) and multi-target multi-Bernoulli (MeMBer) filters are two leading algorithms that have emerged from random finite sets (RFS). In this paper we study a method which combines these two approaches. Our…

Systems and Control · Computer Science 2015-03-20 Jason L. Williams

With the increasing complexity of multiple target tracking scenes, a single sensor may not be able to effectively monitor a large number of targets. Therefore, it is imperative to extend the single-sensor technique to Multi-Sensor…

Information Theory · Computer Science 2024-01-22 Han Cai , Chenbao Xue , Jeremie Houssineau , Zhirun Xue

This paper presents a general solution for computing the multi-object posterior for sets of trajectories from a sequence of multi-object (unlabelled) filtering densities and a multi-object dynamic model. Importantly, the proposed solution…

Signal Processing · Electrical Eng. & Systems 2022-07-20 Yuxuan Xia , Lennart Svensson , Ángel F. García-Fernández , Jason L. Williams , Daniel Svensson , Karl Granström

This paper presents the distributed Poisson multi-Bernoulli (PMB) filter based on the generalised covariance intersection (GCI) fusion rule for distributed multi-object filtering. Since the exact GCI fusion of two PMB densities is…

Computer Vision and Pattern Recognition · Computer Science 2026-01-27 Ángel F. García-Fernández , Giorgio Battistelli

This paper is a sequel of the 2019 paper [5]. It demonstrates the following: a) the Poisson multi-Bernoulli mixture (PMBM) approach to detected vs. undetected (U/D) targets cannot be rigorously formulated using either the two-step or…

Methodology · Statistics 2025-01-22 Ronald Mahler

Millimeter wave (mmWave) signals are useful for simultaneous localization and mapping (SLAM), due to their inherent geometric connection to the propagation environment and the propagation channel. To solve the SLAM problem, existing…

Signal Processing · Electrical Eng. & Systems 2021-09-09 Yu Ge , Ossi Kaltiokallio , Hyowon Kim , Fan Jiang , Jukka Talvitie , Mikko Valkama , Lennart Svensson , Sunwoo Kim , Henk Wymeersch

This paper proposes multi-target filtering algorithms in which target dynamics are given in continuous time and measurements are obtained at discrete time instants. In particular, targets appear according to a Poisson point process (PPP) in…

Computer Vision and Pattern Recognition · Computer Science 2025-02-18 Ángel F. García-Fernández , Simo Särkkä

A decentralized Poisson multi-Bernoulli filter is proposed to track multiple vehicles using multiple high-resolution sensors. Independent filters estimate the vehicles' presence, state, and shape using a Gaussian process extent model; a…

Multiagent Systems · Computer Science 2024-12-20 Markus Fröhle , Karl Granström , Henk Wymeersch

In this paper we introduce spatiotemporal constraints for trajectories, i.e., restrictions that the trajectory must be in some part of the state space (spatial constraint) at some point in time (temporal constraint). Spatiotemporal…

Signal Processing · Electrical Eng. & Systems 2020-03-02 Karl Granström , Lennart Svensson , Yuxuan Xia , Angel F. Garcia-Fernandez , Jason Williams

This paper presents a new derivation of the variational Poisson multi-Bernoulli (V-PMB) filter for multi-target estimation proposed in [#Williams15]. The proposed derivation is based on considering an augmented space that includes the set…

Systems and Control · Electrical Eng. & Systems 2026-05-11 Ángel F. García-Fernández , Yuxuan Xia

This paper derives the optimal Bayesian processing of an out-of-sequence (OOS) set of measurements in continuous-time for multiple target tracking. We consider a multi-target system modelled in continuous time that is discretised at the…

Systems and Control · Electrical Eng. & Systems 2021-09-02 Ángel F. García-Fernández , Wei Yi

In this paper, we propose two efficient, approximate formulations of the multi-sensor labelled multi-Bernoulli (LMB) filter, which both allow the sensors' measurement updates to be computed in parallel. Our first filter is based on the…

Signal Processing · Electrical Eng. & Systems 2022-07-12 S. C. J. Robertson , C. E. van Daalen , J. A. du Preez