Fusion of Nonlinear Motion Dynamics Using Fokker-Planck Equation and Projection Filter

Abstract

This paper presents a novel approach to the fusionof nonlinear motion dynamics for 2D target tracking applications in video analytics by using Fokker-Planck equation (FPE) and the projection filter. The motion dynamics of the target is first conveniently represented using the corresponding FPE for the state posterior. The motion dynamics is then fused into target tracking process to reliably predict the target position and velocity in 2D target tracking by solving the corresponding FPE of the state posterior using a projection filter. Once the next system measurement is available, the state posterior is then updated using the Bayes rule in the projection filter framework as well. Experiments using synthetic and real aerial surveillance video data show that the proposed FPE-based target tracker isable to reliably track targets in the present of nonlinear motiondynamics, and that the proposed FPE-based tracker outperforms traditional nonlinear filters in target tracking such as the Kalman filter (including extended Kalman filter and unscented Kalman filter) and the particle filter.

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Document Details

Document Type
Technical Report
Publication Date
Jul 14, 2014
Accession Number
AD1015374

Entities

People

  • Gang Qian
  • Khurram Shafique
  • Ping Wang

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force Research Laboratories
  • Data Association
  • Differential Equations
  • Equations
  • Filters
  • Filtration
  • Finite Element Analysis
  • Fokker Planck Equations
  • Galerkin Method
  • Kalman Filters
  • Linear Systems
  • Mathematical Filters
  • Multitarget Tracking
  • Nonlinear Systems
  • Partial Differential Equations
  • Sequential Monte Carlo Methods
  • Target Tracking

Fields of Study

  • Engineering

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Sensor Fusion and Tracking Systems.