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The Poisson multi-Bernoulli mixture (PMBM) is an unlabelled multi-target distribution for which the prediction and update are closed. It has a Poisson birth process, and new Bernoulli components are generated on each new measurement as a…

信号处理 · 电气工程与系统科学 2018-12-14 Karl Granström , Lennart Svensson , Yuxuan Xia , Jason Williams , Angel F Garcia-Fernandez

The Poisson multi-Bernoulli mixture (PMBM) is a multi-target distribution for which the prediction and update are closed. By applying the random finite set (RFS) framework to multi-target tracking with sets of trajectories as the variable…

信号处理 · 电气工程与系统科学 2019-11-21 Yuxuan Xia , Karl Granström , Lennart Svensson , Ángel F. García-Fernández , Jason L. Williams

High-resolution radar sensors are critical for autonomous systems but pose significant challenges to traditional tracking algorithms due to the generation of multiple measurements per object and the presence of multipath effects. Existing…

信号处理 · 电气工程与系统科学 2026-03-10 Guanhua Ding , Qinchen Wu , Jinping Sun , Yanping Wang , Bing Zhu , Guoqiang Mao

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…

信息论 · 计算机科学 2024-01-22 Han Cai , Chenbao Xue , Jeremie Houssineau , Zhirun Xue

This paper systematically compares two mathematical foundations for multitarget tracking: labeled random finite sets (LRFS's) and trajectory random finite sets (TRFS's).

最优化与控制 · 数学 2022-03-22 Ronald Mahler

This paper presents two trajectory Poisson multi-Bernoulli (TPMB) filters for multi-target tracking: one to estimate the set of alive trajectories at each time step and another to estimate the set of all trajectories, which includes alive…

计算机视觉与模式识别 · 计算机科学 2020-09-18 Ángel F. García-Fernández , Lennart Svensson , Jason L. Williams , Yuxuan Xia , Karl Granström

Targets that generate multiple measurements at a given instant in time are commonly known as extended targets. These present a challenge for many tracking algorithms, as they violate one of the key assumptions of the standard measurement…

统计计算 · 统计学 2016-04-20 Michael Beard , Stephan Reuter , Karl Granström , Ba-Tuong Vo , Ba-Ngu Vo , Alexander Scheel

The generalized labeled multi-Bernoulli (GLMB) filter is a theoretically rigorous Bayes-optimal multitarget tracking algorithm with computationally tractable implementations, based on labeled random finite set (LRFS) theory. It presumes…

统计方法学 · 统计学 2025-06-04 Ronald Mahler

The Poisson multi-Bernoulli mixture (PMBM) and the multi-Bernoulli mixture (MBM) are two multi-target distributions for which closed-form filtering recursions exist. The PMBM has a Poisson birth process, whereas the MBM has a…

信号处理 · 电气工程与系统科学 2020-03-02 Yuxuan Xia , Karl Granström , Lennart Svensson , Ángel F. García-Fernández , Jason L. Williams

This paper presents a Poisson multi-Bernoulli mixture (PMBM) filter for multi-target filtering based on sensor measurements that are sets of trajectories in the last two-time step window. The proposed filter, the trajectory measurement PMBM…

信号处理 · 电气工程与系统科学 2025-11-25 Marco Fontana , Ángel F. García-Fernández , Simon Maskell

The Poisson Multi-Bernoulli Mixture (PMBM) density is a conjugate multi-target density for the standard point target model with Poisson point process birth. This means that both the filtering and predicted densities for the set of targets…

信号处理 · 电气工程与系统科学 2024-12-17 Karl Granström , Lennart Svensson , Yuxuan Xia , Jason Williams , Ángel F. García-Fernández

The Poisson multi-Bernoulli mixture (PMBM) filter is conjugate prior composed of the union of a Poisson point process (PPP) and a multi-Bernoulli mixture (MBM). In this paper, a new PMBM filter for tracking multiple targets with randomly…

系统与控制 · 计算机科学 2019-04-09 Guchong Li

This paper proposes a smooth-trajectory estimator for the labelled multi-Bernoulli (LMB) filter by exploiting the special structure of the generalised labelled multi-Bernoulli (GLMB) filter. We devise a simple and intuitive approach to…

信号处理 · 电气工程与系统科学 2024-01-17 Hoa Van Nguyen , Tran Thien Dat Nguyen , Changbeom Shim , Marzhar Anuar

This paper proposes a Poisson multi-Bernoulli mixture (PMBM) filter on the space of sets of tree trajectories for multiple target tracking with spawning targets. A tree trajectory contains all trajectory information of a target and its…

统计方法学 · 统计学 2022-05-04 Ángel F. García-Fernández , Lennart Svensson

In recent years, Bayes filter methods in the labeled random finite set formulation have become increasingly powerful in the multi-target tracking domain. One of the latest outcomes is the Generalized Labeled Multi-Bernoulli (GLMB) filter…

信号处理 · 电气工程与系统科学 2020-07-13 David Meister , Martin F. Holder , Hermann Winner

Tracking multiple objects through time is an important part of an intelligent transportation system. Random finite set (RFS)-based filters are one of the emerging techniques for tracking multiple objects. In multi-object tracking (MOT), a…

信号处理 · 电气工程与系统科学 2022-04-20 Nida Ishtiaq , Amirali Khodadadian Gostar , Alireza Bab-Hadiashar , Reza Hoseinnezhad

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. We also establish…

计算机视觉与模式识别 · 计算机科学 2018-09-14 Ángel F. García-Fernández , Jason L. Williams , Karl Granström , Lennart Svensson

This paper proposes an efficient implementation of the Poisson multi-Bernoulli mixture (PMBM) trajectory filter. The proposed implementation performs track-oriented N-scan pruning to limit complexity, and uses dual decomposition to solve…

信号处理 · 电气工程与系统科学 2018-11-30 Yuxuan Xia , Karl Granström , Lennart Svensson , Ángel F. García-Fernández

This paper addresses the problem of group target tracking (GTT), wherein multiple closely spaced targets within a group pose a coordinated motion. To improve the tracking performance, the labeled random finite sets (LRFSs) theory is…

系统与控制 · 电气工程与系统科学 2024-08-20 Chaoqun Yang , Xiaowei Liang , Zhiguo Shi , Heng Zhang , Xianghui Cao

We propose an efficient random finite set (RFS) based algorithm for multiobject tracking in which the object states are modeled by a combination of a labeled multi-Bernoulli (LMB) RFS and a Poisson RFS. The less computationally demanding…

信号处理 · 电气工程与系统科学 2022-04-20 Thomas Kropfreiter , Florian Meyer , Franz Hlawatsch
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