Nonstationary inverse problems and state estimation

Journal of Inverse and Ill-Posed Problems

Volumn 7, Issue 3, 1999, Pages 273-282

  Kaipio, J ^a   Somersalo, E ^b  

^a UNIVERSITY OF EASTERN FINLAND   (Finland)

^b AALTO UNIVERSITY   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001626528     PISSN: 09280219     EISSN: None     Source Type: Journal    
DOI: 10.1515/jiip.1999.7.3.273     Document Type: Article

References (12)

1. B. D. O. Anderson and J. B. Moore, Optimal Filtering. Prentice Hall, 1979.
2. D. Baroudi, J. Kaipio, and E. Somersalo, Dynamical electric wire tomography: a time series approach. Inverse Problems (1998) 14, 799–814.
3. D. Baroudi, J. Hietaniemi, and E. Somersalo, Application of impedance tomography to measurement of temperature distributions in hot gases. VTT Research Notes (1998) 1906.
4. P. J. Brockwell and R. A. Davis, Time Series: Theory and Methods. Springer-Verlag, Berlin, 1987.
5. J. Kaipio, E. Somersalo, P. Karjalainen, and M. Vauhkonen, Recursive estimation of fast impedance changes in electrical impedance tomography and a related problem. In: Proc. SPIE's 42nd Annual Meeting. Computational, experimental and numerical methods for solving ill-posed inverse imaging problems: medical and nonmedical applications. (Eds. R. Barbour, M. Carvlin and M. Fiddy) San Diego, 1997, 208–216.
6. J. Kaipio, P. Karjalainen, E. Somersalo, and M. Vauhkonen, State estimation in time-varying electrical impedance tomography. In: X Int. Conf. Electricol Bio-Impedence (ICEBI). Barcelona, April 5-9, 1998, 389–392.
7. J. Kaipio, P. Karjalainen, E. Somersalo, and M. Vauhkonen, State estimation in time-varying electrical impedance tomography. In: Proc. New York Acad. Sci. (to appear).
8. J. Kaipio, V. Kolehmainen, E. Somersalo, and M. Vauhkonen, Statistical inversion methods in electrical impedance tomography. (In preparation).
9. B. Oksendahl, Stochastic Differential equations. Springer-Verlag, Berlin, 1995.
10. E. Somersalo, M. Cheney, and D. Isaacson, Existence and uniqueness for the electrode models for electric current computed tomography. SIAM J. Appl. Math. (1992) 52, 1023–1040.
11. M. Vauhkonen, P. Karjalainen, and J. Kaipio, A Kalman filter approach to track fast changes in electrical impedance tomography. IEEE Trans. Biomed. Eng. (to appear).
12. M. Vauhkonen, P. Karjalainen, and J. Kaipio, A Kalman filter approach applied to the tracking of fast movements of organ boundaries. In: Proc. of the IEEE EMBS’98 meeting. Hong Kong, October 28- November 1, 1998 (to appear).