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High-resolution radar sensors are able to resolve multiple detections per object and therefore provide valuable information for vehicle environment perception. For instance, multiple detections allow to infer the size of an object or to…

Signal Processing · Electrical Eng. & Systems 2019-10-29 Alexander Scheel , Klaus Dietmayer

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…

Signal Processing · Electrical Eng. & Systems 2022-04-20 Thomas Kropfreiter , Florian Meyer , Franz Hlawatsch

This paper proposes an online visual multi-object tracking algorithm using a top-down Bayesian formulation that seamlessly integrates state estimation, track management, clutter rejection, occlusion and mis-detection handling into a single…

Computer Vision and Pattern Recognition · Computer Science 2017-08-07 Du Yong Kim , Ba-Ngu Vo , Ba-Tuong Vo

In this work, we further develop multigoal-oriented a posteriori error estimation with two objectives in mind. First, we formulate goal-oriented mesh adaptivity for multiple functionals of interest for nonlinear problems in which both the…

Numerical Analysis · Mathematics 2018-04-05 B. Endtmayer , U. Langer , T. Wick

This paper develops a general trajectory probability hypothesis density (TPHD) filter, which uses a general density for target-generated measurements and is able to estimate trajectories of coexisting point and extended targets. First, we…

Signal Processing · Electrical Eng. & Systems 2026-03-17 Shaoxiu Wei , Ángel F. García-Fernández , Wei Yi

Particle Filter is an effective solution to track objects in video sequences in complex situations. Its key idea is to estimate the density over the possible states of the object using a weighted sample whose elements are called particles.…

Computer Vision and Pattern Recognition · Computer Science 2012-10-19 Severine Dubuisson , Christophe Gonzales , Xuan Son NGuyen

This paper presents a new algorithm to track mobile objects in different scene conditions. The main idea of the proposed tracker includes estimation, multi-features similarity measures and trajectory filtering. A feature set (distance,…

Computer Vision and Pattern Recognition · Computer Science 2011-06-15 Duc Phu Chau , François Bremond , Monique Thonnat , Etienne Corvee

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

This paper proposes a metric for sets of trajectories to evaluate multi-object tracking algorithms that includes time-weighted costs for localisation errors of properly detected targets, for false targets, missed targets and track switches.…

Computer Vision and Pattern Recognition · Computer Science 2021-10-27 Ángel F. García-Fernández , Abu Sajana Rahmathullah , Lennart Svensson

We design a sequential Monte Carlo scheme for the dual purpose of Bayesian inference and model selection. We consider the application context of urban mobility, where several modalities of transport and different measurement devices can be…

Computation · Statistics 2016-11-29 Luca Martino , Jesse Read , Victor Elvira , Francisco Louzada

The phase retrieval from multi-frequency intensity (power) observations is considered. The object to be reconstructed is complex-valued. A novel algorithm is presented that accomplishes both the object phase (absolute phase) retrieval and…

Signal Processing · Electrical Eng. & Systems 2018-02-07 Vladimir Katkovnik , Karen Egiazarian

We propose a solution of the multiple target tracking (MTT) problem based on sets of trajectories and the random finite set framework. A full Bayesian approach to MTT should characterise the distribution of the trajectories given the…

Computer Vision and Pattern Recognition · Computer Science 2020-06-12 Ángel F. García-Fernández , Lennart Svensson , Mark R. Morelande

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

This paper introduces the concept of a mean for trajectories and multi-object trajectories (defined as sets or multi-sets of trajectories) along with algorithms for computing them. Specifically, we use the Fr\'{e}chet mean, and metrics…

Signal Processing · Electrical Eng. & Systems 2026-02-24 Tran Thien Dat Nguyen , Ba Tuong Vo , Ba-Ngu Vo , Hoa Van Nguyen , Changbeom Shim

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 shows that the Poisson multi-Bernoulli mixture (PMBM) density is a multi-target conjugate prior for general target-generated measurement distributions and arbitrary clutter distributions. That is, for this multi-target…

Applications · Statistics 2023-05-25 Ángel F. García-Fernández , Yuxuan Xia , Lennart Svensson

This paper proposes a novel particle filter for tracking time-varying states of multiple targets jointly from superpositional data, which depend on the sum of contributions of all targets. Many conventional tracking methods rely on…

Signal Processing · Electrical Eng. & Systems 2020-08-26 Nobutaka Ito , Simon Godsill

We propose a novel particle filter for convolutional-correlation visual trackers. Our method uses correlation response maps to estimate likelihood distributions and employs these likelihoods as proposal densities to sample particles.…

Computer Vision and Pattern Recognition · Computer Science 2020-06-15 Reza Jalil Mozhdehi , Henry Medeiros

This paper describes a recursive estimation procedure for multivariate binary densities (probability distributions of vectors of Bernoulli random variables) using orthogonal expansions. For $d$ covariates, there are $2^d$ basis coefficients…

Statistics Theory · Mathematics 2012-12-03 Maxim Raginsky , Jorge Silva , Svetlana Lazebnik , Rebecca Willett

Shape-constrained inference has wide applicability in bioassay, medicine, economics, risk assessment, and many other fields. Although there has been a large amount of work on monotone-constrained univariate curve estimation, multivariate…

Methodology · Statistics 2019-11-19 Lizhen Lin , Brian St. Thomas , Walter W. Piegorsch , James Scott , Carlos Carvalho