Mathematical Representation of Multitarget Systems
Optimization and Control
2022-03-22 v1
Authors:
Ronald Mahler
Abstract
This paper systematically compares two mathematical foundations for multitarget tracking: labeled random finite sets (LRFS's) and trajectory random finite sets (TRFS's).
Cite
@article{arxiv.2203.10972,
title = {Mathematical Representation of Multitarget Systems},
author = {Ronald Mahler},
journal= {arXiv preprint arXiv:2203.10972},
year = {2022}
}
Comments
7 pages, 0 figures, preprint (not yet published)
Related papers
View all related →
Systems and Control · Electrical Eng. & Systems
Labeled random finite sets vs. trajectory random finite sets
Ronald Mahler
2024-11-05
Signal Processing · Electrical Eng. & Systems
An Overview of Multi-Object Estimation via Labeled Random Finite Set
Ba-Ngu Vo, Ba-Tuong Vo, Tran Thien Dat Nguyen, Changbeom Shim
2024-11-11
Methodology · Statistics
Measurement-to-Track Association and Finite-Set Statistics
Ronald Mahler
2024-03-01
Computer Vision and Pattern Recognition · Computer Science
Multiple target tracking based on sets of trajectories
Ángel F. García-Fernández, Lennart Svensson, Mark R. Morelande
2020-06-12
Systems and Control · Electrical Eng. & Systems
Augmented LRFS-based Filter: Holistic Tracking of Group Objects
Chaoqun Yang, Xiaowei Liang, Zhiguo Shi, Heng Zhang +1
2024-08-20
Signal Processing · Electrical Eng. & Systems
An Efficient Labeled/Unlabeled Random Finite Set Algorithm for Multiobject Tracking
Thomas Kropfreiter, Florian Meyer, Franz Hlawatsch
2022-04-20
Computation · Statistics
Multiple Extended Target Tracking with Labelled Random Finite Sets
Michael Beard, Stephan Reuter, Karl Granström, Ba-Tuong Vo +2
2016-04-20
Methodology · Statistics
Multi-Target Tracking with Dependent Likelihood Structures in Labeled Random Finite Set Filters
Lingji Chen
2021-08-10
Computer Vision and Pattern Recognition · Computer Science
A metric on the space of finite sets of trajectories for evaluation of multi-target tracking algorithms
Ángel F. García-Fernández, Abu Sajana Rahmathullah, Lennart Svensson
2020-09-15
Probability · Mathematics
Multi-target filtering with linearised complexity
J. Houssineau, D. E. Clark
2017-12-05
Systems and Control · Electrical Eng. & Systems
A Belief Space Perspective of RFS based Multi-Target Tracking and its Relationship to MHT
S. Chakravorty, W. R. Faber, Islam I. Hussein, U. R. Mishra
2020-01-27
Systems and Control · Computer Science
Consensus Labeled Random Finite Set Filtering for Distributed Multi-Object Tracking
C. Fantacci, B. -N. Vo, B. -T. Vo, G. Battistelli +1
2016-06-10
Statistics Theory · Mathematics
Multi-Target Tracking Using A Randomized Hypothesis Generation Technique
W. Faber, S. Chakravorty, Islam I. Hussein
2016-03-15
Applications · Statistics
Multiple Target, Multiple Type Filtering in the RFS Framework
Nathanael L. Baisa, Andrew Wallace
2019-02-06
Signal Processing · Electrical Eng. & Systems
Fusion of Sensor Measurements and Target-Provided Information in Multitarget Tracking
Domenico Gaglione, Paolo Braca, Giovanni Soldi, Florian Meyer +2
2022-01-10
Signal Processing · Electrical Eng. & Systems
Multipath Extended Target Tracking with Labeled Random Finite Sets
Guanhua Ding, Qinchen Wu, Jinping Sun, Yanping Wang +2
2026-03-10
Robotics · Computer Science
Robot Detection System 3: LRF groups and Coordinate System
Jinwei Lin
2024-05-15
Signal Processing · Electrical Eng. & Systems
Extended target Poisson multi-Bernoulli mixture trackers based on sets of trajectories
Yuxuan Xia, Karl Granström, Lennart Svensson, Ángel F. García-Fernández +1
2019-11-21
Computer Vision and Pattern Recognition · Computer Science
Towards Discriminative Representation: Multi-view Trajectory Contrastive Learning for Online Multi-object Tracking
En Yu, Zhuoling Li, Shoudong Han
2022-04-06
Systems and Control · Computer Science
Extension of "Model Parameter Adaptive Approach of Extended Object Tracking Using Random Matrix"
Borui Li, Chundi Mu, Shuli Han, Tianming Bai
2014-07-01
Systems and Control · Computer Science
Sensor management for multi-target tracking via Multi-Bernoulli filtering
Hung Gia Hoang, Ba Tuong Vo
2014-04-14
Computer Vision and Pattern Recognition · Computer Science
Top Down Approach to Multiple Plane Detection
Prateek Singhal, Aditya Deshpande, N Dinesh Reddy, K Madhava Krishna
2013-12-30
Dynamical Systems · Mathematics
Finite Invariant Sets with Bridging Points in Logistic IFS
Hibiki Kato, Tamotsu Onozaki, Yoshitaka Saiki, Yasumasa Sugita
2026-04-16
Signal Processing · Electrical Eng. & Systems
Hybrid Liquid Neural Network-Random Finite Set Filtering for Robust Maneuvering Object Tracking
Minti Liu, Qinghua Guo, Cao Zeng, Yanguang Yu +2
2025-10-30
Other Statistics · Statistics
On point processes in multitarget tracking
Ronald Mahler
2018-03-05