Nonstationary phase boundary estimation in electrical impedance tomography using unscented Kalman filter

Journal of Computational Physics

Volumn 227, Issue 15, 2008, Pages 7089-7112

  Ijaz, Umer Zeeshan ^a   Khambampati, Anil Kumar ^a   Lee, Jeong Seong ^a   Kim, Sin ^a   Kim, Kyung Youn ^a  

^a Jeju National University   (South Korea)

Author keywords

65K99; 93E11; 93E24; Boundary estimation; Electrical impedance tomography; Extended Kalman filter; Unscented Kalman filter

Indexed keywords

BANDPASS FILTERS; ELECTRIC IMPEDANCE; ELECTRIC IMPEDANCE MEASUREMENT; ELECTRIC IMPEDANCE TOMOGRAPHY; FOURIER ANALYSIS; INDUSTRIAL RESEARCH; INVERSE PROBLEMS; STOCHASTIC SYSTEMS;

65K99; 93E11; 93E24; BOUNDARY ESTIMATION; ELECTRICAL IMPE DANCE TOMOGRAPHY (EIT); ESTIMATION SCHEMES; NONSTATIONARY; PERFORMANCE; PHASE BOUNDARY ESTIMATIONS; UNSCENTED KALMAN FILTER;

EXTENDED KALMAN FILTERS;

EID: 45449099462     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2007.12.025     Document Type: Article

References (47)

1. Butler J.E., and Bonnecaze R.T. Inverse method for imaging a free surface using electrical impedance tomography. Chem. Eng. Sci. 55 (2000) 1193-1204
2. Chung E.T., Chan T.F., and Tai X.C. Electrical impedance tomography using level set representation and total variational regularization. J. Comput. Phys. 205 (2005) 357-372
3. Fairuzov Y.V. Numerical simulation of transient flow of two immiscible liquids in pipeline. AIChE J. 46 (2000) 1332-1339
4. Gisser D.C., Isaacson D., and Newell J.C. Theory and performance of adaptive current tomography system. Clin. Phys. Hysiol. Meas. 9 (1988) 35-42
5. Gladden L.F., and Alexander P. Application of nuclear magnetic resonance imaging in process engineering. Meas. Sci. Technol. 7 (1996) 423-435
6. Han D.K., and Prosperetti A. A shape decomposition technique in electrical impedance tomography. J. Comput. Phys. 155 (1999) 75-95
7. Holand F.A., and Bragg R. Fluid Flow for Chemical Engineers (1995), Edward Arnold Publisher, London
8. Isaacson D. Distinguishability of conductivities by electric current computed tomography. IEEE Trans. Medical Imaging M1-5 (1986) 91-95
9. Jones O.C., Lin J.T., Ovacik L., and Shu H. Impedance imaging relative to gas-liquid systems. Nucl. Eng. Des. 141 (1993) 159-176
10. S.J. Julier, J.K. Uhlmann, A New Extension of the Kalman Filter to nonlinear Systems, in: Proc. of AeroSense: The 11th International Symposium on Aerospace/Defense Sensing, Simulation and Controls, Multi Sensor Fusion, Tracking and Resource Management II, SPIE.
11. Julier S.J., and Uhlmann J.K. Unscented filtering and nonlinear estimation. Proc. IEEE 92 3 (2004) 401-422
12. Jeon H.J., Kim J.H., Choi B.Y., Kim K.Y., Kim M.C., and Kim S. Electrical impedance imaging of binary mixtures with boundary estimation approach based on multilayer neural network. IEEE Sensors J. 5 2 (2005) 313-319
13. Kim K.Y., Kim B.S., Kim M.C., Lee Y.J., and Vauhkonen M. Image reconstruction in time-varying electrical impedance tomography based on the extended Kalman filter. Meas. Sci. Technol. 12 (2001) 1-8
14. Kim B.S., Kim M.C., Kim S., and Kim K.Y. Nonstationary electrical impedance tomography with the IMM scheme. Meas. Sci. Technol. 15 (2004) 2113-2123
15. Kim M.C., Kim K.Y., and Kim S. Improvement of impedance imaging for two-phase systems with boundary estimation approach in electrical impedance tomography. Canad. J. Chem. Eng. 83 (2005) 55-63
16. Kim K.Y., Kim B.S., Kim M.C., Kim S., Isaacson D., and Newell J.C. Dynamic electrical impedance imaging with the interacting multiple model scheme. Physiol. Meas. 26 (2004) S217-S233
17. Kim M.C., Kim S., and Kim K.Y. Estimation of phase boundaries in two-phase systems by electrical impedance tomography technique. J. Ind. Eng. Chem. 10 (2004) 710-716
18. Kim B.S., Ijaz U.Z., Kim J.H., Kim M.C., Kim S., and Kim K.Y. Nonstationary phase boundary estimation in electrical impedance tomography based on the interacting multiple model scheme. Meas. Sci. Technol. 18 (2007) 62-70
19. Kim J.H., Kang B.C., Choi B.Y., Kim M.C., Kim S., and Kim K.Y. Phase boundary estimation in electrical resistance tomography with weighted multilayer neural networks. IEEE Trans. Magnet. 42 4 (2006) 1191-1194
20. Kim M.C., Kim S., Kim K.Y., Seo K.H., Jeon H.J., Kim J.H., and Choi B.Y. Estimation of phase boundary by front points method in electrical impedance tomography. Inverse Prob. Sci. Eng. 14 (2006) 455-466
21. Kim J.H., Kang B.C., Lee S.H., Choi B.Y., Kim M.C., Kim B.S., Ijaz U.Z., Kim K.Y., and Kim S. Phase boundary estimation in electrical resistance tomography with weighted multi-layered neural networks and front point approach. Meas. Sci. Technol. 17 (2006) 2731-2739
22. Kim S., Ijaz U.Z., Khambampati A.K., Kim K.Y., Kim M.C., and Chung S.I. Moving interfacial boundary estimation in stratified flow of two immiscible liquids using electrical resistance tomography. Meas. Sci. Technol. 18 (2007) 1257-1269
23. Kolehmainen V., Arridge S.R., Lionheart W.R.B., Vauhkonen M., and Kaipio J.P. Recovery of region boundaries of piecewise constant coefficients of elliptic PDE from boundary data. Inverse Prob. 15 (1999) 1375-1391
24. Kortschak B., and Brandstätter B. A FEM-BEM approach using level-sets in electrical capacitance tomography. Compel 24 (2005) 591-605
25. Lionheart W.R.B. EIT reconstruction algorithms: pitfalls, challenges and recent developments. Physiol. Meas. 23 (2004) 125-142
26. Newell J.C., Gisser D.C., and Isaacson D. An electric current tomograph. IEEE Trans. Biomed. Eng. 35 (1988) 823-833
27. Perry R.H., Green D.W., and Maloney J.O. Perry's Chemical Engineers Handbook (1997), McGraw-Hill, New York
28. Shollenberger K.A., Torczynski J.R., Adkin D.R., O'hern T.J., and Jackson N.B. Gamma-densitometry tomography of gas holdup spatial distribution and industrial-scale bubble column. Chem. Eng. Sci. 52 (1997) 2037-2048
29. Tossavainen O.-P., Kolehmainen V., and Vauhkonen M. Free-surface and admittivity estimation in electrical impedance tomography. Int. J. Numer. Methods Eng. 66 (2006) 1991-2013
30. Tossavainen O.-P., Vauhkonen M., Kolehmainen V., and Kim K.Y. Tracking of moving interfaces in sedimentation processes using electrical impedance tomography. Chem. Eng. J. 61 (2006) 7717-7729
31. Tossavainen O.-P., Vauhkonen M., Heikkinen L.M., and Savolainen T. Estimating shape and free surfaces with electrical impedance tomography. Meas. Sci. Technol. 15 (2004) 1402-1411
32. Tossavainen O.-P., Vauhkonen M., and Kolehmainen V. A three-dimensional shape estimation approach for tracking of phase interfaces in sedimentation process using electrical impedance tomography. Meas. Sci. Technol. 18 (2007) 1413-1424
33. R. Van der Merwe, E.R. Wan, The square-root unscented Kalman filter for state and parameter estimation, in: Proceedings of 2001 IEEE International Conference on Acoustics, Speech, and Signal Processing, Salt Lake City, UT, USA, 2001.
34. M. Vauhkonen, Electrical Impedance Tomography and Prior Information, Ph.D. Thesis, University of Kuopio, Finland, 1997.
35. M. Vauhkonen, P.A. Karjalainen, J.P. Kaipio, A Kalman filter approach applied to the tracking of fast movements of organ boundaries in electrical impedance tomography, in: Proceedings of 20th Annual International Conference, IEEE, 1998.
36. Vauhkonen M., Lionhart W.R.B., Heikkinen L.M., Vauhkonen P.J., and Kaipio J.P. A MATLAB package for the EIDORS project to reconstruct two-dimensional EIT images. Physiol. Meas. 22 (2001) 107-111
37. Xu L., Han Y., Xu L.A., and Yang J. Application of ultrasonic tomography to monitoring gas/liquid flow. Chem. Eng. Sci. 52 (1997) 2171-2183
38. Yorkey T.J., Webster J.G., and Tompkins W.J. Comparing reconstruction algorithms for electrical impedance tomography. IEEE Trans. Biomed. Eng. 34 (1988) 843-852
39. Osher S., and Sethian J.A. Fronts propagating with curvature dependent speed: algorithms based on Hamilton-Jacobi formulations. J. Comput. Phys. 79 (1988) 12-49
40. Rondi L., and Santosa F. Enhanced electrical impedance tomography via the Mumford-Shah functional, ESAIM: control. Optim. Calc. Variat. 6 (2001) 517-538
41. Chan T.F., and Tai X.-C. Level set and total variation regularization for elliptic inverse problems with discontinuous coefficients. J. Comput. Phys. 193 (2003) 40-66
42. Chan T.F., and Tai X.-C. Identification of discontinuous coefficients from elliptic problems using total variation regularization. SIAM J. Sci. Comput. 25 (2003) 881-904
43. Vese L.A., and Chan T.F. A new multiphase level set framework for image segmentation via the Mumford and Shah model. Int. J. Comput. Vision 50 3 (2002) 271-293
44. Soleimani M. Electrical impedance tomography imaging using a priori ultrasound data. Biomed. Eng. Online (2006) 5-8
45. Soleimani M., Lionheart W.R.B., and Dorn O. Level set reconstruction of conductivity and permittivity from boundary electrical measurement using experimental data. Inverse Prob. Sci. Eng. 14 2 (2006) 193-210
46. Soleimani M., Dorn O., and Lionheart W.R.B. A narrow-band level set method applied to EIT in brain for cryosurgery monitoring. IEEE Trans. Biomed. Eng. 53 11 (2006) 2257-2264
47. Van den doel K., and Ascher U.M. On level set regularization for highly ill-posed distributed parameter estimation problems. J. Comput. Phys. 216 (2006) 707-723