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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

Multi-Bernoulli mixture (MBM) filter is one of the exact closed-form multi-target Bayes filters in the random finite sets (RFS) framework, which utilizes multi-Bernoulli mixture density as the multi-target conjugate prior. This filter is…

Signal Processing · Electrical Eng. & Systems 2019-11-12 Sen Wang

In a typical multitarget tracking (MTT) scenario, the sensor state is either assumed known, or tracking is performed in the sensor's (relative) coordinate frame. This assumption does not hold when the sensor, e.g., an automotive radar, is…

Systems and Control · Computer Science 2019-01-15 Markus Fröhle , Christopher Lindberg , Karl Granström , Henk Wymeersch

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

This paper uses multi-object tracking methods known from the radar tracking community to address the problem of pedestrian tracking using 2D bounding box detections. The standard point-object (SPO) model is adopted, and the posterior…

Systems and Control · Electrical Eng. & Systems 2025-08-29 Jan Krejčí , Oliver Kost , Yuxuan Xia , Lennart Svensson , Ondřej Straka

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 considers a batch solution to the multi-object tracking problem based on sets of trajectories. Specifically, we present two offline implementations of the trajectory Poisson multi-Bernoulli mixture (TPMBM) filter for batch data…

Signal Processing · Electrical Eng. & Systems 2024-06-25 Yuxuan Xia , Ángel F. García-Fernández , Lennart Svensson

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

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

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

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

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

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

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

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

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

This paper presents the Gaussian implementation of the multi-Bernoulli mixture (MBM) filter. The MBM filter provides the filtering (multi-target) density for the standard dynamic and radar measurement models when the birth model is…

Signal Processing · Electrical Eng. & Systems 2019-08-26 Ángel F. García-Fernández , Yuxuan Xia , Karl Granström , Lennart Svensson , 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

To account for joint tracking and classification (JTC) of multiple targets from observation sets in presence of detection uncertainty, noise and clutter, this paper develops a new trajectory probability hypothesis density (TPHD) filter,…

Signal Processing · Electrical Eng. & Systems 2021-11-09 Shaoxiu Wei , Boxiang Zhang , Wei Yi

In many multiobject tracking applications, including radar and sonar tracking, after prefiltering the received signal, measurement data is typically structured in cells. The cells, e.g., represent different range and bearing values.…

Signal Processing · Electrical Eng. & Systems 2024-06-04 Thomas Kropfreiter , Jason L. Williams , Florian Meyer