A novel approach for EIT regularization via spatial and spectral principal component analysis

Physiological Measurement

Volumn 28, Issue 9, 2007, Pages 1001-1016

  Goharian, Mehran ^a   Bruwer, Mark John ^b   Jegatheesan, Aravinthan ^a   Moran, Gerald R ^a   MacGregor, John F ^b  

^a MCMASTER UNIVERSITY   (Canada)

^b MCMASTER UNIVERSITY   (Canada)

Author keywords

Electrical impedance tomography; Multi spectral analysis; PCA; Regularization

Indexed keywords

ELECTRIC IMPEDANCE MEASUREMENT; ELECTRIC IMPEDANCE TOMOGRAPHY; FINITE ELEMENT METHOD; IMAGE RECONSTRUCTION; INVERSE PROBLEMS; PRINCIPAL COMPONENT ANALYSIS; SPECTRUM ANALYSIS;

A-STABLE; CONDUCTIVITY DISTRIBUTIONS; ILL-POSED INVERSE PROBLEM; IMAGING MODALITY; MULTI-SPECTRAL ANALYSIS; PCA; PRINCIPAL-COMPONENT ANALYSIS; RECONSTRUCTION PROBLEMS; REGULARISATION; REGULARIZATION APPROACH;

ELECTRIC IMPEDANCE;

ARTICLE; COMPUTER ASSISTED IMPEDANCE TOMOGRAPHY; CONDUCTANCE; ELECTRIC POTENTIAL; FINITE ELEMENT ANALYSIS; IMAGING; PRINCIPAL COMPONENT ANALYSIS; PRIORITY JOURNAL; SIMULATION;

EID: 34548184464     PISSN: 09673334     EISSN: 13616579     Source Type: Journal    
DOI: 10.1088/0967-3334/28/9/003     Document Type: Article

References (30)

1. Borsic A 2002 Regularisation methods for imaging from electrical measurements PhD Thesis Oxford Brookes University, England,UK
2. Bruwer M J 2006 Process systems approaches to diagnostic imaging and identification PhD Thesis McMaster University, Canada
3. Cheney M, Isaacson D and Newell J C 1999 Electrical impedance tomography SIAM Rev. 41 85-101
4. Cheney M, Isaacson D, Newell J C, Simske S and Goble J 1990 NOSER: an algorithm for solving the inverse conductivity problem Int. J. Imag. Syst. Technol. 2 66-75
5. Cole K S and Cole R H 1941 Dispersion and absorption in dielectrics: I. Alternating current characteristics J. Chem. Phys. 9 341-51
6. Dehghani H, Davis S C, Jiang S, Pogue B W, Paulsen K D and Patterson M S 2006 Spectrally resolved bioluminescence optical tomography Opt. Lett. 31 365-7
7. Dickin F and Wang M 1996 Electrical resistance tomography for process tomography Meas. Sci. Technol. 7 247-60
8. Eriksson L, Johansson E, Kettaneh-Wold N and Wold S 2001 Multi-and Megavariate Data Analysis: Principles and Applications (Tvistevägen Umeå, Sweden: Umetrics Academy)
9. Fang Q, Meaney P M and Paulsen D P 2004 Microwave image reconstruction of tissue property dispersion characteristics utilizing multiple frequency information IEEE Trans. Microw. Theory Tech. 52 1866-75
10. Geladi P and Grahn H 1996 Multivariate Image Analysis (Chichester, UK: Wiley)
11. Hanke M and Hansen P C 1993 Regularization methods for large-scale problems Surv. Math. Ind. 3 253-315
12. Hansen P C 1992 Analysis of discrete ill-posed problems by means of L-curve SIAM Rev. 34 561-80
13. Holder D S 2005 Electrical Impedance Tomography: Methods, History and Application (Bristol, UK: Institute of Physics Publishing)
14. Hua P, Webster J G and Tompkins W J 1988 A regularised electrical impedance tomography reconstruction algorithm Clin. Phys. Physiol. Meas. 9 (Suppl. A) 137-41
15. Jacobsen M 2004 Modular regularization algorithms PhD Thesis Technical University of Denmark, DTU
16. Johnston P R and Gulrajani R M 2000 Selecting the corner in the L-curve approach to Tikhonov regularization IEEE Trans. Biomed. Eng. 47 1293-6
17. Lawson C L and Hanson R J 1974 Solving Least Square Problems (Englewood Cliffs, NJ: Prentice-Hall)
18. Lionheart W R B 2004 reconstruction algorithms: pitfalls, challenges and recent development Physiol. Meas. 25 125-42
19. Mayer M, Brunner P, Merwa Smolle-Jüttner R, Maier A and Scharfetter H 2006 Direct reconstruction of tissue parameters from differential multifrequency EIT in vivo Physiol. Meas. 27 S93-S101
20. Morozov V A 1984 Methods for Solving Incorrectly Posed Problems (New York: Springer)
21. Polydorides N and Lionheart W R B 2002 A matlab toolkit for three-dimensional electrical impedance tomography: a contribution to the electrical impedance and diffuse optical reconstruction software project Meas. Sci. Technol 13 1871-83
22. Schwan H P 1957 Electrical properties of tissue and cell suspensions Adv. Biol. Med. Phys. 5 147-208
23. Srinivasan S, Pogue B W, Jiang S, Dehghani H and Paulsen K D 2005 Spectrally constrained chromophore and scattering NIR tomography provides quantitative and robust reconstruction Appl. Opt. 44 1858-69
24. Surowiec A J, Stuchly S S, Barr J R and Swarup A 1988 Dielectric properties of breast carcinoma and the surrounding tissues IEEE Trans. Biomed. Eng. 35 257-63
25. Vauhkonen M 1997 Electrical impedance tomography and prior information PhD Thesis Kuopio University, Finland
26. Vauhkonen M, Kaipio J P, Somersalo E and Karjalainen P A 1997 Electrical impedance tomography with basis constraints Inverse Problems 13 523-30
27. Vauhkonen M, Vadasz D, Kaipio J P, Somersalo E and Karjalainen P A 1998 Tikhonov regularization and prior information in electrical impedance tomography IEEE Trans. Med. Imaging 17 285-93
28. Wahba G 1977 Ill-posed problems: numerical and statistical methods for mildly, moderately and severely ill-posed problems with noisy data SIAM J. Numer. Anal. 14 651-67
29. Wold S, Esbensen K and Geladi P 1987 Principal component analysis Chemometr. Intell. Lab. Syst. 2 37-52
30. Woo E J, Hua P, Webster J G and Tompkins W J 1993 A robust image reconstruction algorithm and its parallel implementation in electrical impedance tomography IEEE Trans. Med. Imaging 12 137-46