Current reconstruction algorithms in electrical capacitance tomography

Lecture Notes in Electrical Engineering

Volumn 83 LNEE, Issue , 2011, Pages 65-106

  Neumayer, M ^a   Zangl, H ^a   Watzenig, D ^a   Fuchs, A ^a  

^a GRAZ UNIVERSITY OF TECHNOLOGY   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

CURRENT RECONSTRUCTION; ELECTRICAL CAPACITANCE TOMOGRAPHY; MATERIAL DISTRIBUTION;

TOMOGRAPHY;

CAPACITANCE;

EID: 79551540937     PISSN: 18761100     EISSN: 18761119     Source Type: Book Series    
DOI: 10.1007/978-3-642-17943-3_4     Document Type: Conference Paper

References (50)

1. Feynman, R.P.: Feynman Lectures On Physics (3 Volume Set). Addison-Wesley Longman, Amsterdam (1998)
2. Olmos, A.M., Carvajal, M.A., Morales, D.P., Garcia, A., Palma, A.J.: Development of an Electrical Capacitance Tomography system using four rotating electrodes. Sensors and Actuators A: Physical 148(2) (2008)
3. Hadamard, J.: Sur les problmes aux drives partielles et leur signification physique, pp. 49-52. Bull. Univ. of Princeton (1902)
4. Soni, N.K., Paulsen, K.D., Dehghani, H., Harov, A.: Finite Element Implementation of Maxwell?s equations for image reconstruction in electrical impedance tomography. IEEE Transactions on Medical Imaging 25(1), 55-66 (2006)
5. Wegleiter, H., Fuchs, A., Holler, G., Kortschak, B.: Analysis of hardware concepts for electrical capacitance tomography applications. In: Proceedings of the IEEE Sensors Conference, vol. 7(3), pp. 436-519 (2005)
6. Wegleiter, H.: Low-Z Carrier Frequency Front-End for Electrical Capacitance Tomography Applications, Ph.D. thesis, Graz University of Technology, Austria (2006)
7. Zangl, H., Watzenig, D., Steiner, G., Fuchs, A., Wegleiter, H.: Non-Iterative Reconstruction for Electrical Tomography using Optimal First and Second Order Approximations. In: World Congress on Industrial Process Tomography WCIPT5 (2007)
8. Neumayer, M., Steiner, G.: Impact of Wave Propagation Effects in Electrical Tomography. In: Proc. of the Conference on the Computation of Electromagnetic Fields, Compumag (2009)
9. Neumayer, M., Steiner, G.: Industrial Process Tomography for Complex Impedance Recostruction. In: Proc. of the 13th International IGTE Symposium (2008)
10. Zangl, H., Neumayer, M.: A Fast Gain Invariant Reconstruction Method for Electrical Tomography. In: Proc. of the 14th International IGTE Symposium (2010)
11. Neumayer, M., Watzenig, D., Zangl, H.: An H∞Dagger; Approach for Robust Estimation of Material Parameters in ECT. In: World Congress on Industrial Process Tomography WCIP6 (2010)
12. Neumayer, M., Of, G., Schwaigkofler, A., Steinbach, O., Steiner, G., Watzenig, D.: Shape Determination in ECT using an Energy Norm Formulation. In: Proc. of the 14th international IGTE symposium (2010)
13. Watzenig, D., Brandner, M., Steiner, G.: A particle filter approach for tomographic imaging based on different state-space representations. Jnl. of Measurement Science and Technology 18(30) (2007)
14. Schwarzl, C., Watzenig, D., Fox, C.: Estimation of contour parameter uncertainties in permittivity imaging using MCMC sampling. In: 5th IEEE Workshop on Sensor Array and Multichannel Signal Processing (2008)
15. Steiner, G., Watzenig, D.: Electrical Capacitance Tomography with physical bound constraints. In: SICE Annual Conference (2008).
16. Simon, D.: Optimal State Estimation: Kalman, H-infinity, and Nonlinear Approaches. John Wiley & Sons, Chichester (2006)
17. Process Tomography Limited url: http://www.tomography.com/ (visited on 30.9.2010)
18. Yang, W.Q., Spink, D.M., York, T.A., McCann, H.: An image-reconstruction algorithm based on Landweber?s iteration method for electrical-capacitance tomography. Jnl. of Measurement Science and Technology 10 (1999)
19. Yan, H., Shao, F.Q., Wang, S.: Fast calculation of sensitivity distributions in capacitance tomography sensors. Electronics Letters 34(20), 1936-1937 (1998)
20. Fletcher, R.: Practical Methods of Optimization, 2nd edn. John Wiley and Sons Ltd., New York (2001)
21. Uhliir̃, K., Patera, J., Skala, V.: Radial Basis Function method for iso-line extraction. Elect. Comp. and Informatics, 439-444 (2004)
22. Watzenig, D., Fox, C.: A review of statistical modelling and inference for electrical capacitance tomography. Jnl. of Measurement Science and Technology 20(5) (2009)
23. Kaipio, J.P., Somersalo, E.: Statistical and computational inverse problems. Applied Mathematical Sciences, vol. 160. Springer, New York (2004)
24. Brandstätter, B., Holler, G., Watzenig, D.: Reconstruction of inhomogeneities in fluids by means of capacitance tomography. Jnl. for Comp. and Math. Electrical and Electronic Eng. 22, 508-519 (2003)
25. Osher, S., Fedkiw, R.: Level set methods and dynamic implicit surfaces. Applied Mathematical Sciences, vol. 153. Springer, New York (2003)
26. Liu, S., Fu, L., Yang, W.Q., Wang, H.G., Jiang, F.: Prior-online iteration for image reconstruction with electrical capacitance tomography. IEE Proceedings of Science, Measurement and Technology 151(3), 195-200 (2004)
27. Landweber, L.: An iterative formula for Fredholm integral equations of the first kind. American Journal of Mathematics 73(3), 615-624 (1951)
28. Yang, W.: Design of electrical capacitance tomography sensors, Meas. Sci. Technol. 21(4) (2010)
29. Hansen, P.C.: Rank-Deficient and Discrete Ill-Posed Problems. SIAM Monographs on Mathematical Modeling and Computation, vol. 4 (1998)
30. Watzenig, D., Steiner, G., Brandstätter, B.: Managing Noisy Measurement Data by Means of Statistical Parameter Estimation in Electrical Capacitance Tomography. In: Proc. of the 13th International IGTE Symposium (2004)
31. Wegleiter, H.: Low-Z Carrier Frequency Front-End for Electrical Capacitance Tomography Applications, Dissertation, Graz University of Technology (2006)
32. Brandstätter, B., Holler, G., Watzenig, D.: Reconstruction of inhomogeneities in fluids by means of capacitance tomography. Int. Journal for Computation and Mathematics in Electrical and Electronic Engineering (COMPEL) 22(3), 508-519 (2003)
33. Soleimani, M., Lionheart, W.T.: Nonlinear Image Reconstruction for Electrical Capacitance Tomography Using Experimental Data. Meas. Sci. Technol. 16, 1987- 1996
34. Scott, D.M., McCann, H.: Process Imaging for Automatic Control. CRC Press, Taylor & Francis (2005)
35. Tikhonov, A.N., Arsenin, V.Y.: Solutions of Ill-Posed Problems, Washington, DC (1977)
36. Isaksen, O.: A review of reconstruction techniques for capacitance tomography. Measurement Science and Technology 7, 325-337 (1996)
37. Yang, W.Q., Peng, L.: Image reconstruction algorithms for electrical capacitance tomography. Measurement Science and Technology 14(1) (2003)
38. Zienkiewicz, O.C., Taylor, R.C.: The Finite Element Method, 5th edn. The Basis, vol. 1. Elsevier, Amsterdam (2000)
39. Polycarpou, A.C.: Introduction to the Finite Element Method in Electromagnetics. Synthesis Lectures on Computational Electromagnetics 1(1), 1-126 (2006)
40. Hastings, W.K.: Monte Carlo sampling methods using Markov chains and their applications. Journal Biometrika 57(1), 97-109 (1970)
41. Kortschak, B., Brandstätter, B.: A FEM-BEM approach using level-sets in electrical capacitance tomography. Int. Journal for Computation and Mathematics in Electrical and Electronic Engineering (COMPEL) 24(2), 591-605 (2005)
42. Watzenig, D., Holler, G., Brandstätter, B.: Adaptive regularization parameter adjustment for reconstruction problems. IEEE Transactions on Magnetics 40(2), 1116-1119 (2004)
43. Brebbia, C.A., Telles, J.C.F., Wrobel, L.C.: Boundary Element Techniques: Theory and Applications. Springer, New York (1984)
44. Zahn, C.T., Roskies, R.Z.: Fourier descriptors for plane closed curves. IEEE Transactions on Computers 21(3), 269-281 (1972)
45. Simon, D., Chia, T.L.: Kalman filtering with state equality constraints. IEEE Transactions on Aerospace and Electronic Systems 38(1), 128-136 (2002)
46. Kalman, R.E.: A new approach to linear filtering and prediction problems. Journal Basic Engineering 82, 35-45 (1960)
47. Xie, C.G., Huang, S.M., Hoyle, B.S., Thorn, R., Lenn, C., Snowden, D., Beck, M.S.: Electrical capacitance tomography for flow imaging: system model for development of image reconstruction algorithms and design of primary sensors. In: IEE Proc. Circuits, Devices, Systems, pp. 89-97 (1992)
48. Brandstätter, B.: Optimal design with adjoint state approaches, Ph.D. thesis, Graz University of Technology, Austria (1999)
49. Grewal, M.S., Andrews, A.P.: Kalman Filtering: Theory and Practice Using MATLAB, 2nd edn. Wiley Interscience, Hoboken (2001)
50. Kim, H.C., Kim, K.Y., Park, J.W., Lee, H.J.: Electrical impedance tomography reconstruction algorithm using extended Kalman filter. In: Proceedings of the IEEE International Symposium on Industrial Electronics, ISIE, vol. 3, pp. 1677-1681 (2001)