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MCMC data association and sparse factorization updating for real time multitarget tracking with merged and multiple
Zia Khan1, Tucker Balch, Frank Dellaert
1College of Computing, Georgia Institute of Technology, Atalanta, GA 30332, USA. zkhan@cc.gatech.edu
IEEE Transactions on Pattern Analysis and Machine Intelligence
|November 17, 2006
Summary
This study introduces a new probabilistic model and algorithm for multitarget tracking, handling complex measurements from interacting targets. The method significantly reduces computation, enabling real-time performance with video and laser data.
Area of Science:
- Computer Vision
- Robotics
- Signal Processing
Background:
- Existing multitarget tracking algorithms struggle with multiple measurements per target and merged measurements between interacting targets.
- Current methods, often derived from radar tracking, are insufficient for these complex scenarios.
Purpose of the Study:
- To develop a novel probabilistic model for tracking interacting targets with complex measurement types.
- To create an efficient algorithm for approximate inference in this model.
Main Methods:
- Introduced a probabilistic model for interacting targets capable of handling multiple and merged measurements.
- Developed a Markov chain Monte Carlo (MCMC)-based auxiliary variable particle filter for approximate inference.
- Employed Rao-Blackwellization to eliminate sampling over continuous state spaces and utilized sparse least squares for efficient updating/downdating.
Main Results:
- The proposed algorithm effectively addresses multiple and merged measurements from interacting targets simultaneously.
- Sparse least squares techniques significantly reduced computational cost per Markov chain iteration.
- The algorithm demonstrated real-time performance on a conventional PC using video and laser range data.
Conclusions:
- The novel probabilistic model and MCMC-based algorithm provide an effective solution for complex multitarget tracking scenarios.
- Computational efficiency was achieved through sparse least squares and a heuristic for focusing on interacting targets.
- The algorithm's accuracy and real-time capabilities were validated using challenging simulations and dual-sensor modalities.

