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Related papers: Trajectory PHD and CPHD filters

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This paper presents the probability hypothesis density (PHD) filter for sets of trajectories: the trajectory probability density (TPHD) filter. The TPHD filter is capable of estimating trajectories in a principled way without requiring to…

Applications · Statistics 2018-09-14 Ángel F. García-Fernández , Lennart Svensson

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

Compared to the probability hypothesis density (PHD) and cardinalized PHD (CPHD) filters, the trajectory PHD (TPHD) and trajectory CPHD (TCPHD) filters are for sets of trajectories, and thus are able to produce trajectory estimates with…

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

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

The trajectory probability hypothesis density filter (TPHD) is capable of producing trajectory estimates in first principle without adding labels or tags. In this paper, we propose a new TPHD filter referred as MM-TPHD for jump Markov…

Signal Processing · Electrical Eng. & Systems 2020-11-10 Boxiang Zhang , Wei Yi

In this paper, we derive the robust TPHD (R-TPHD) filter, which can adaptively learn the unknown detection profile history and clutter rate. The R-TPHD filter is derived by obtaining the best Poisson posterior density approximation over…

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

In this paper, we propose two methods for tracking multiple extended targets or unresolved group targets with elliptical extent shape. These two methods are deduced from the famous Probability Hypothesis Density (PHD) filter and the…

Signal Processing · Electrical Eng. & Systems 2025-05-22 Yuanhao Cheng , Yunhe Cao , Tat-Soon Yeo , Fu Jie , Wei Zhang

The single sensor probability hypothesis density (PHD) and cardinalized probability hypothesis density (CPHD) filters have been developed in the literature using the random finite set framework. The existing multisensor extensions of these…

Methodology · Statistics 2019-05-29 Santosh Nannuru , Stephane Blouin , Mark Coates , Michael Rabbat

The probability hypothesis density (PHD) and Poisson multi-Bernoulli (PMB) filters are two popular set-type multi-object filters. Motivated by the fact that the multi-object filtering density after each update step in the PHD filter is a…

Signal Processing · Electrical Eng. & Systems 2024-07-23 Yuxuan Xia , Ángel F. García-Fernández , Lennart Svensson

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…

Computer Vision and Pattern Recognition · Computer Science 2020-09-18 Ángel F. García-Fernández , Lennart Svensson , Jason L. Williams , Yuxuan Xia , Karl Granström

The probability hypothesis density (PHD) filter alleviates the computational expense of the optimal Bayesian multi-target filtering by approximating the intensity function of the random finite set (RFS) of targets in time. However, as a…

Applications · Statistics 2015-06-09 Meysam R. Danaee

PHD filtering is a common and effective multiple object tracking (MOT) algorithm used in scenarios where the number of objects and their states are unknown. In scenarios where each object can generate multiple measurements per scan, some…

Computer Vision and Pattern Recognition · Computer Science 2021-09-03 Jakob Sjudin , Martin Marcusson , Lennart Svensson , Lars Hammarstrand

The Probability Hypothesis Density (PHD) and Cardinalized PHD (CPHD) filters are popular solutions to the multi-target tracking problem due to their low complexity and ability to estimate the number and states of targets in cluttered…

Methodology · Statistics 2018-02-14 Isabel Schlangen , Emmanuel D. Delande , Jeremie Houssineau , Daniel E. Clark

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

The Gaussian Mixture Probability Hypothesis Density (GM-PHD) filter is an almost exact closed-form approximation to the Bayes-optimal multi-target tracking algorithm. Due to its optimality guarantees and ease of implementation, it has been…

Signal Processing · Electrical Eng. & Systems 2025-05-20 Shiraz Khan , Yi-Chieh Sun , Inseok Hwang

When tracking a large number of targets, it is often computationally expensive to represent the full joint distribution over target states. In cases where the targets move independently, each target can instead be tracked with a separate…

Artificial Intelligence · Computer Science 2007-05-23 Hedvig Sidenbladh

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

Multi-target tracking (MTT) serves as a cornerstone technology in information fusion, yet faces significant challenges in robustness and efficiency when dealing with model uncertainties, clutter interference, and target interactions.…

Systems and Control · Electrical Eng. & Systems 2025-07-21 Ming Lei , Shufan Wu

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…

Signal Processing · Electrical Eng. & Systems 2024-12-17 Karl Granström , Lennart Svensson , Yuxuan Xia , Jason Williams , Ángel F. García-Fernández

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
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