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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. Contrary to the…

Computer Vision and Pattern Recognition · Computer Science 2019-10-28 Ángel F. García-Fernández , Lennart Svensson

This paper addresses the mapping problem. Using a conjugate prior form, we derive the exact theoretical batch multi-object posterior density of the map given a set of measurements. The landmarks in the map are modeled as extended objects,…

Machine Learning · Statistics 2018-11-09 Maryam Fatemi , Karl Granström , Lennart Svensson , Francisco J. R. Ruiz , Lars Hammarstrand

Passive multi-target tracking applications require the integration of multiple spatially distributed sensor measurements to distinguish true tracks from ghost tracks. A popular multi-target tracking approach for these applications is the…

Systems and Control · Electrical Eng. & Systems 2021-08-11 Christopher Berry , Donald J. Bucci , Samuel W. Schmidt

Multi-target tracking is an important problem in civilian and military applications. This paper investigates multi-target tracking in distributed sensor networks. Data association, which arises particularly in multi-object scenarios, can be…

Multiagent Systems · Computer Science 2018-12-04 Mark R. Leonard , Abdelhak M. Zoubir

The sensor whose output is a function of the sum of contributions from targets present in the surveillance area is called superpositional sensor. In this letter, target clustering based multi-Bernoulli filter for superpositional sensors is…

Signal Processing · Electrical Eng. & Systems 2023-08-21 Wang Sen

Most multi-target tracking filters assume that one target and its observation follow a Hidden Markov Chain (HMC) model, but the implicit independence assumption of HMC model is invalid in many practical applications, and a Pairwise Markov…

Signal Processing · Electrical Eng. & Systems 2018-11-30 Jiangyi Liu , Chunping Wang , Wei Wang

Accurate 3D multi-object tracking (MOT) is crucial for autonomous driving, as it enables robust perception, navigation, and planning in complex environments. While deep learning-based solutions have demonstrated impressive 3D MOT…

Computer Vision and Pattern Recognition · Computer Science 2026-02-04 Guanhua Ding , Yuxuan Xia , Runwei Guan , Qinchen Wu , Tao Huang , Weiping Ding , Jinping Sun , Guoqiang Mao

A variety of filters with track-before-detect (TBD) strategies have been developed and applied to low signal-to-noise ratio (SNR) scenarios, including the probability hypothesis density (PHD) filter. Assumptions of the standard point…

Computer Vision and Pattern Recognition · Computer Science 2023-02-23 Haiyi Mao , Cong Peng , Yue Liu , Jinping Tang , Hua Peng , Wei Yi

Particle probability hypothesis density filtering has become a promising means for multi-target tracking due to its capability of handling an unknown and time-varying number of targets in non-linear non-Gaussian system. However, its…

Computation · Statistics 2015-03-13 Wang Junjie , Zhao Lingling , Su Xiaohong , Ma Peijun

Sensor management in multi-object stochastic systems is a theoretically and computationally challenging problem. This paper presents a novel approach to the multi-target multi-sensor control problem within the partially observed Markov…

Systems and Control · Computer Science 2017-09-18 Xiaoying Wang , Reza Hoseinnezhad , Amirali K. Gostar , Tharindu Rathnayake , Benlian Xu , Alireza Bab-Hadiashar

Multi-target state estimation refers to estimating the number of targets and their trajectories in a surveillance area using measurements contaminated with noise and clutter. In the Bayesian paradigm, the most common approach to…

Computers and Society · Computer Science 2022-10-11 Diluka Moratuwage , Changbeom Shim , Yuthika Punchihewa

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…

Signal Processing · Electrical Eng. & Systems 2026-03-10 Guanhua Ding , Qinchen Wu , Jinping Sun , Yanping Wang , Bing Zhu , Guoqiang Mao

This letter presents a versatile trajectory planning pipeline for aerial tracking. The proposed tracker is capable of handling various chasing settings such as complex unstructured environments, crowded dynamic obstacles and multiple-target…

Robotics · Computer Science 2024-08-09 Yunwoo Lee , Jungwon Park , Boseong Jeon , Seungwoo Jung , H. Jin Kim

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…

Computation · Statistics 2016-04-20 Michael Beard , Stephan Reuter , Karl Granström , Ba-Tuong Vo , Ba-Ngu Vo , Alexander Scheel

The challenges in multi-object tracking mainly stem from the random variations in the cardinality and states of objects during the tracking process. Further, the information on locations where the objects appear, their detection…

Signal Processing · Electrical Eng. & Systems 2022-01-13 Cong-Thanh Do , Tran Thien Dat Nguyen , Diluka Moratuwage , Changbeom Shim , Yon Dohn Chung

The amplitude information of target returns has been incorporated into many tracking algorithms for performance improvements. One of the limitations of employing amplitude feature is that the signal-to-noise ratio (SNR) of the target, i.e.,…

Signal Processing · Electrical Eng. & Systems 2022-09-20 Weizhen Ma , Zhongliang Jing , Peng Dong , Henry Leung

This paper presents an exact Bayesian filtering solution for the multi-object tracking problem with the generic observation model. The proposed solution is designed in the labeled random finite set framework, using the product styled…

Systems and Control · Computer Science 2017-10-09 Suqi Li , Wei Yi , Reza Hoseinnezhad , Bailu Wang , Lingjiang Kong

This paper proposes an efficient implementation of the generalized labeled multi-Bernoulli (GLMB) filter by combining the prediction and update into a single step. In contrast to an earlier implementation that involves separate truncations…

Computation · Statistics 2017-03-01 Ba Ngu Vo , Ba Tuong Vo , Hung Gia Hoang

Recursive estimation of nonlinear dynamical systems is an important problem that arises in several engineering applications. Consistent and accurate propagation of uncertainties is important to ensuring good estimation performance. It is…

Systems and Control · Computer Science 2016-03-16 Dilshad Raihan Akkam Veettil , Suman Chakravorty

The Probability Hypothesis Density (PHD) filter, which is used for multi-target tracking based on sensor measurements, relies on the propagation of the first-order moment, or intensity function, of a point process. This algorithm assumes…

Probability · Mathematics 2020-12-11 Nicolas Privault , Timothy Teoh