Differential geometry measures of nonlinearity for the video tracking problem

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 6235, Issue , 2006, Pages

  Mallick, Mahendra ^a   La Scala, Barbara F ^b  

^a TOYON RESEARCH CORPORATION   (United States)

^b UNIVERSITY OF MELBOURNE   (Australia)

Author keywords

Differential geometry measures of nonlinearity; Intrinsic curvature; Nonlinear filtering; Parameter effects curvature; Video tracking

Indexed keywords

ALGORITHMS; COSTS; GEOMETRY; KALMAN FILTERING; MATHEMATICAL MODELS; NONLINEAR FILTERING; VIDEO CAMERAS;

DIFFERENTIAL GEOMETRY; INTRINSIC CURVATURE; NONLINEARITY; PARAMETER EFFECTS CURVATURE; VIDEO TRACKING;

TRACKING (POSITION);

EID: 33748671392     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.666483     Document Type: Conference Paper

References (25)

1. American Society of Photogrammetry, Manual of Photogrammetry, Fourth Edition, American Society of Photogrammetry, Falls Church, VA, 1980.
2. S. Arulampalam and B. Ristic, "Comparison of the Particle Filter with Range-Parameterised and Modified Polar EKFs for Angle-Only Tracking," Proc. Signal and Data Processing of Small Targets, Vol. 4048, Orlando, FL, 2000.
3. S. Arulampalam, S. Maskell, N. Gordon, and T. Clapp, "A Tutorial on Particle Filters for On-line Non-linear/Non-Gaussian Bayesian Tracking," IEEE Transactions on Signal Processing, Vol. 50, pp. 174-188, 2002.
4. B. D. O. Anderson and J. B. Moore, Optimal Filtering, Prentice Hall, 1979.
5. Y. Bar-Shalom, X. R. Li and T. Kirubarajan, Estimation with Applications to Tracking and Navigation, Wiley & Sons, 2001.
6. D. M. Bates and D. G. Watts, "Relative curvature measures of nonlinearity," J. R. Stat. Soc. B, Vol. 42, pp. 1-25, 1980.
7. D. M. Bates, D. C. Hamilton, and D. G. Watts, "Calculation of intrinsic and parameter-effects curvatures for nonlinear regression models," Commun. Stat.Simul. Comput. B, Vol. 12, pp. 469-477, 1983.
8. D. M. Bates and D. G. Watts, Nonlinear Regression Analysis and Its Applications, John Wiley, 1988.
9. A. P. Brown, K. J. Sullivan, and D. J. Miller, "Feature-aided multiple target tracking in the image plane," Proc. SPIE Defense and Security Symposium, Orlando, FL, April 17-21, 2006.
10. R. T. Collins, A. J. Lipton, T. Kanade, H. Fujiyoshi, D. Duggins, Y. Tsin, D. Tolliver, N. Enomoto, and O. Hasegawa, "A System for Video Surveillance and Monitoring: VSAM Final Report," Technical report CMU-RI-TR-00-12, Robotics Institute, Carnegie Mellon University, May, 2000.
11. R. T. Collins, X. Zhou, and S. K. Teh, "An Open Source Tracking Testbed and Evaluation Web Site," IEEE International Workshop on Performance Evaluation of Tracking and Surveillance (PETS 2005), January, 2005.
12. A. Gelb, Ed., Applied Optimal Estimation, The MIT Press, 1974.
13. R. Hartley and A. Zisserman, Multiple View Geometry in Computer Vision, Second Edition, Cambridge University Press 2004.
14. S. J. Julier and J. K. Uhlman, and H. Durant-Whyte, "A New Approach for filtering nonlinear systems," Proc. American Control Conference, pp. 1628-1632, 1995.
15. R. Kumar et al., "Aerial video surveillance and exploitation," Proc. IEEE, Vol. 89, pp. 1518-1539, Oct. 2001.
16. M. Mallick, "Motion and Structure Estimation for Optical Stereo," The Analytic Sciences Corporation (TASC) Report, February, 1994.
17. M. Mallick and S. Arulampalam, "Comparison of Nonlinear Filtering Algorithms in Ground Moving Target Indicator (GMTI) Target Tracking," Proc. Signal and Data Processing of Small Targets, San Diego, CA, August 4-7, 2003.
18. M. Mallick, "Differential Geometry Measures of Nonlinearity with Applications to Ground Target Tracking," Proc. 2004 International Conference on Information Fusion, June 28-July 1, 2004, Stockholm, Sweden.
19. M. Mallick, B. F. La Scala, and M. S. Arulampalam "Differential Geometry Measures of Nonlinearity for the Bearing-only Tracking Problem," Proc. SPIE, Vol. 5809, March 28-30, 2005, Orlando, FL, USA.
20. M. Mallick, "Differential Geometry Measures of Nonlinearity for Ground Moving Target Indicator (GMTI) Tracking," Proc. 2005 International Conference on Information Fusion, July 25-29, Philadelphia, USA.
21. B. Ristic, S. Arulampalam, and N. Gordon, Beyond the Kalman Filter, Artech House, 2004.
22. G. A. Seber and C. J. Wild, Nonlinear Regression, John Wiley, 1989.
23. B. F. La Scala, R. R. Bitmead, and M. R. James, "Conditions for the Stability of the Extended Kalman Filter and their Application to the Frequency Tracking Problem," Mathematics of Control, Signals and Systems, Vol. 8, pp. 1-27, 1995.
24. R. van der Merwe, A. Doucet, N. de Freitas and E Wan, The Unscented Particle Filter, in Proc. NIPS, 2000
25. J. R. Wertz, (Ed.), Spacecraft Attitude Determination and Control, D. Reidel Publising Company, Boston, 1978.