Range identification for a perspective dynamic system with a single homogeneous observation

Lili Ma; Yangquan Chen; Kevin Moore

International Journal of Applied Mathematics and Computer Science (2005)

  • Volume: 15, Issue: 1, page 63-72
  • ISSN: 1641-876X

Abstract

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Perspective problems arise in machine vision when using a camera to observe the scene. Essential problems include the identification of unknown states and/or unknown parameters from perspective observations. Range identification is used to estimate the states/positions of a moving object with known motion parameters. Range estimation has been discussed in the literature using nonlinear observers with full homogeneous observations derived from the image plane. In this paper, the same range identification problem is discussed with a single homogeneous observation using nonlinear observers. Our simulation results verify the convergence of the observers when their observability conditions are satisfied. sm

How to cite

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Ma, Lili, Chen, Yangquan, and Moore, Kevin. "Range identification for a perspective dynamic system with a single homogeneous observation." International Journal of Applied Mathematics and Computer Science 15.1 (2005): 63-72. <http://eudml.org/doc/207729>.

@article{Ma2005,
abstract = {Perspective problems arise in machine vision when using a camera to observe the scene. Essential problems include the identification of unknown states and/or unknown parameters from perspective observations. Range identification is used to estimate the states/positions of a moving object with known motion parameters. Range estimation has been discussed in the literature using nonlinear observers with full homogeneous observations derived from the image plane. In this paper, the same range identification problem is discussed with a single homogeneous observation using nonlinear observers. Our simulation results verify the convergence of the observers when their observability conditions are satisfied. sm},
author = {Ma, Lili, Chen, Yangquan, Moore, Kevin},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {range identification; perspective dynamic systems; nonlinear observer},
language = {eng},
number = {1},
pages = {63-72},
title = {Range identification for a perspective dynamic system with a single homogeneous observation},
url = {http://eudml.org/doc/207729},
volume = {15},
year = {2005},
}

TY - JOUR
AU - Ma, Lili
AU - Chen, Yangquan
AU - Moore, Kevin
TI - Range identification for a perspective dynamic system with a single homogeneous observation
JO - International Journal of Applied Mathematics and Computer Science
PY - 2005
VL - 15
IS - 1
SP - 63
EP - 72
AB - Perspective problems arise in machine vision when using a camera to observe the scene. Essential problems include the identification of unknown states and/or unknown parameters from perspective observations. Range identification is used to estimate the states/positions of a moving object with known motion parameters. Range estimation has been discussed in the literature using nonlinear observers with full homogeneous observations derived from the image plane. In this paper, the same range identification problem is discussed with a single homogeneous observation using nonlinear observers. Our simulation results verify the convergence of the observers when their observability conditions are satisfied. sm
LA - eng
KW - range identification; perspective dynamic systems; nonlinear observer
UR - http://eudml.org/doc/207729
ER -

References

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  1. Chen X. and Kano H. (2002): A new state observer for perspective systems. - IEEE Trans. Automat.Contr., Vol. 47, No. 4, pp. 658-663. 
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  8. Khalil H.K. (2002): Nonlinear Systems. - New Jersey: Prentice Hall. Zbl1003.34002
  9. Ma L. (2004): Vision-Based Measurements for Dynamic Systems and Control.- Ph.D. thesis, Utah State University. 
  10. Ma L., Chen Y. and Moore K.L. (2004): Range identification for perspective dynamic system with single homogeneous observation. - Proc. IEEE Int. Conf. s Robot. and Automat., New Orleans, pp. 5207-5211. 
  11. Morgan A.P. and Narendra K.S. (1977): On the stability of nonautonomous differential equations dx/dt = (A + B(t))x with skew symmetric matrix B(t).- SIAM J. Contr., Vol. 15, No. 1, pp. 163-176. Zbl0388.34031
  12. Papadimitriou T., Diamantaras K.I., Strintzis M.G. and Roumeliotis M. (2000): Robust estimation of rigid-body 3-D motion parameters based on point correspondences. - IEEE Trans. Circ. Syst. Video Technol., Vol. 10, No. 4, pp. 541-549. 
  13. Soatto S., Frezza R. and Perona P. (1996): Motion estimation via dynamic vision.- IEEE Trans. Automat. Contr., Vol. 41, No. 3, pp. 393-413. Zbl0847.93006
  14. Tomas-Rodriguez M. and Banks S.P. (2003): Linear approximations to nonlinear dynamical systems with applications to stability and spectral theory.- IMA J. Math. Contr. Inf., Vol. 20, pp. 89-103. Zbl1017.93029

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