Microwave biomedical data inversion using the finite-difference contrast source inversion method

IEEE Transactions on Antennas and Propagation

Volumn 57, Issue 5, 2009, Pages 1528-1538

  Gilmore, Colin ^a,b   Abubakar, Aria ^a   Hu, Wenyi ^a   Habashy, Tarek M ^a   van den Berg, Peter M ^c  

^a SCHLUMBERGER DOLL RESEARCH   (United States)

^b UNIVERSITY OF MANITOBA   (Canada)

^c DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Biomedical imaging; Electromagnetic fields; Inverse problems; Iterative methods

Indexed keywords

APRIORI; BACKGROUND MEDIUM; BIOMEDICAL DATA; BIOMEDICAL IMAGING; CONTRAST SOURCE INVERSION; FINITE DIFFERENCE; FREQUENCY DOMAINS; GAUSSIAN ELIMINATION; INITIAL GUESS; INVERSION PROCESS; INVERSION RESULTS; INVERSION TECHNIQUES; ITERATIVE INVERSION; LU DECOMPOSITION; MULTIPLE FREQUENCY; PERFECTLY MATCHED LAYER;

BRAIN MODELS; CHANNEL STATE INFORMATION; COMPUTATIONAL FLUID DYNAMICS; DIFFERENTIAL EQUATIONS; ELECTROMAGNETIC FIELD MEASUREMENT; ELECTROMAGNETIC FIELDS; FINITE DIFFERENCE METHOD; INVERSE PROBLEMS; MICROWAVES; NUMERICAL METHODS; STIFFNESS; STIFFNESS MATRIX;

ITERATIVE METHODS;

EID: 67349197424     PISSN: 0018926X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAP.2009.2016728     Document Type: Article

References (44)

1. A. Abubakar, P. M. van den Berg, and J. J. Mallorqui, "Imaging of biomedical data using a multiplicative regularized contrast source inversion method," IEEE Trans. Microw. Theory Tech., vol. 50, no. 7, pp. 1761-1771, Jul. 2002.
2. A. Abubakar, T. M. Habashy, V. L. Druskin, L. Knizhnerman, and D. Alumbaugh, "2.5D forward and inverse modeling for interpreting low-frequency electromagnetic measurements," Geophys., vol. 73, no. 4, 2008.
3. A. Abubakar, W. Hu, P. M. van den Berg, and T. M. Habashy, "A finite-difference contrast source inversion method," Inverse Prob. vol. 24, p. 065004, Dec. 2008, (17 pages).
4. A. Abubakar, P. M. van den Berg, and T. M. Habashy, "Application of the multiplicative regularized contrast source inversion method on TM- and TE-polarized experimental Fresnel data," Inverse Prob., vol. 21, pp. S5-S13, 2005.
5. J. P. Berenger, "Three-dimensional perfectly matched layer for the absorption of electromagnetic waves," J. Comput. Phys., vol. 127, pp. 363-379, 1996.
6. E. Bond, X. Li, S. C. Hagness, and B. D. Van Veen, "Microwave imaging via space-time beamforming for early detection of breast cancer," IEEE Trans. Antennas Propag., vol. 51, no. 8, pp. 1690-1705, 2003.
7. A. E. Bulyshev, A. E. Souvorov, S. Y. Semenov, V. G. Posukh, and Y. E. Sizov, "Three-dimensional vectormicrowave tomography: Theory and computational experiments," Inverse Prob., vol. 20, pp. 1239-59, 2004.
8. S. Caorsi, A. Massa, and M. Pastorino, "A computational technique based on a real-coded genetic algorithm for microwave imaging purposes," IEEE Trans. Geosci. Remote Sensing, vol. 38, no. 4, pp. 1697-1708, Jul. 2000.
9. W. C. Chew and J. H. Lin, "A frequency-hopping approach for microwave imaging of large inhomogeneous bodies," IEEE Microw. Guided Wave Lett., vol. 5, no. 12, pp. 439-441, Dec. 1995.
10. E. K. P. Chong and S. H. Zak, Introduction to Optimization, 2nd ed. New York: Wiley, 2001.
11. D. Colton, J. Coyle, and P. Monk, "Recent developments in inverse acoustic scattering theory," SIAM Rev., vol. 42, pp. 369-414, 2000.
12. D. Colton, H. Haddar, and M. Piana, "The linear sampling method in inverse electromagnetic scattering theory," Inverse Prob., vol. 19, pp. S105-S137, 2003.
13. D. Colton and P. Monk, "A linear sampling method for the detection of leukemia using microwaves," SIAM J. Appl. Math., vol. 58, no. 3, pp. 926-941, Jun. 1998.
14. J. De Zaeytijd, A. Franchois, C. Eyraud, and J.-M. Geffrin, "Full-wave three-dimensional microwave imaging with a regularized Gauss-Newton method: Theory and experiment," IEEE. Trans. Antennas Propag., vol. 55, no. 11, pt. 2, pp. 3279-3292, Nov. 2007.
15. Federal Communications Commission, "Dielectric Properties of Bobdy Tissues at RF and Microwave Frequencies," [Online]. Available: http://www.fcc.gov/fcc-bin/dielec.sh
16. C. Gabriel, S. Gabriel, and E. Corthout, "The dielectric properties of biological tissues: III. Parametric models for the dielectric spectrum of tissues," Phys. Med. Biol., vol. 41, no. 11, pp. 2271-2294, Nov. 1996.
17. C. Gilmore and J. LoVetri, "Enhancement of microwave tomography through the use of electrically conducting enclosures," Inverse Prob., vol. 24, pp. 1-21, 2008.
18. T. M. Habashy and R. Mittra, "On some inverse problems in electromagnetics," J. Electromagn. Wave Appl., vol. 1, pp. 25-58, 1987.
19. T. M. Habashy, M. L. Oristaglio, and A. T. de Hoop, "Simultaneous nonlinear reconstruction of two-dimensional permittivity and conductivity," Radio Sci., vol. 29, pp. 1101-1118, 1994.
20. W. Hu, A. Abubakar, and T. M. Habashy, "Simultaneous frequency domain inversion method for full waveform seismic data," Geophy., 2008, to appear.
21. W. Hu, A. Abubakar, and T. M. Habashy, "Application of the nearly perfectly matched layer in acoustic wave modeling," Geophys., vol. 72, p. SM169, 2007.
22. P. Kosmas and C. M. Rappaport, "Time reversal with the FDTD method for microwave breast cancer detection," IEEE Trans. Microw. Theory Tech. vol. 53, no. 7, pp. 2317-2323, Jul. 2005.
23. R. Marklein, K. Balasubramanian, A. Qing, and K. J. Langenberg, "Linear and nonlinear iterative scalar inversion of multi-frequency-multi-bistatic experimental electromagnetic scattering data," Inverse Probl., vol. 17, pp. 1597-610, 2001.
24. E. A. Marengo, R. D. Hernandez, and H. Lev-Ari, "Intensity-only signal-subspace-based imaging," J. Opt. Society Amer. A, vol. 24, pp. 3619-3635, 2007.
25. P. Kosmas and C. M. Rappaport, "FDTD-based time reversal for microwave breast cancer detection - Localization in three dimensions," IEEE Trans. Microw. Theory Tech., vol. 54, no. 4, pp. 1921-1927, 2006.
26. P. Kosmas, J. D. Shea, B. D. Van Veen, and S. C. Hagness, "Three-dimensional microwave imaging of realistic breast phantoms via an inexact Gauss-Newton algorithm," presented at the IEEE Antennas Propag. Symp., San Diego, CA, Jul. 5-12, 2008, (978-1-4244-2042-1/08).
27. M. Lazebnik et al., "A large scale study of the ultrawideband microwave dielectric properties of normal breast tissue obtained from reduction surgeries," Phys. Med. Biol., vol. 52, pp. 2637-2656, 2007.
28. Lazebnik et al., "A large-scale study of the ultrawideband microwave dielectric properties of normal, benign and malignant breast tissues obtained from cancer surgeries," Phys. Med. Biol., vol. 52, pp. 6093-6115, 2007.
29. J. J. Mallorqui, N. Joachimowicz, J. C. Bolomey, and A. P. Broquetas, "Database of "In Vivo" measurements for quantitative microwave imaging and reconstruction algorithms available," IEEE Antennas Propag. Mag., vol. 37, no. 5, pp. 87-89, 1995.
30. P. M. Meaney, M. W. Fanning, D. Li, S. P. Poplack, and K. D. Paulsen, "Clinical prototype for active microwave imaging of the breast," IEEE Trans. Microw. Theory Tech., vol. 48, no. 11, pp. 1841-1853, 2000.
31. R. Rubaek, P. M. Meaney, P. Meincke, and K. D. Paulsen, "Nonlinear microwave imaging for breast cancer screening using gauss-newton's method and the CGLS inversion algorithm," IEEE Trans. Antennas Propag., vol. 55, no. 8, pp. 2320-2331, 2007.
32. L. Rudin, S. Osher, and C. Fatemi, "Nonlinear total variation based on noise removal algorithm," Physica, vol. 30D, pp. 259-68, 1992.
33. S. Y. Semenov, A. E. Bulyshev, A. Abubakar, V. G. Posukh, Y. E. Sizov, A. E. Souvorov, P. M. van den Berg, and T. C. Williams, "Microwave-tomographic imaging of the high-dielectric-contrast objects using different image-reconstruction approaches," IEEE Trans. Microw. Theory Tech., vol. 53, pp. 2284-2294, 2005.
34. S. Y. Semenov and D. R. Corfield, "Microwave tomography for brain imaging: Feasibility assessment for stroke detection," Int. J. Antennas Propag., vol. 2008, 2008, Article ID 254830.
35. L. P. Song, Q. H. Liu, F. Li, and Z. Q. Zhang, "Reconstruction of three-dimensional objects in layered media: Numerical experiments," IEEE Trans. Antennas Propag., vol. 53, pp. 1556-1561, 2005.
36. A. G. Tijhuis and Z. Q. Peng, "Marching-on-in-frequency method for solving integral equations in transient electromagnetic scattering," Proc. Inst. Elect. Eng. Microw. Antennas Propag.,, vol. 138, no. 4, pt. H, pp. 347-355, Aug. 1991.
37. P. M. van den Berg and R. Kleinman, "A contrast source inversion method," Inverse Problems, vol. 13, pp. 1607-1620, 1997.
38. P. M. van den Berg, A. L. van Broekhoven, and A. Abubakar, "Extended contrast source inversion," Inverse Prob., vol. 15, pp. 1325-1344, 1999.
39. P. M. van den Berg and A. Abubakar, "Contrast source inversion method: State of art," Progr. Electromagn. Res., vol. 34, pp. 189-218, 2001.
40. P. M. van den Berg, A. Abubakar, and J. T. Fokkema, "Multiplicative regularization for contrast profile inversion," Radio Sci., vol. 38, pp. 23.1-23.10, 2003.
41. K. W. A. van Dongen and W. M. D. Wright, "A full vectorial contrast source inversion scheme for 3D acoustic imaging of both compressibility and density profiles," J. Acoust. Society Amer., vol. 121, pp. 1538-1549, 2007.
42. T. C. Williams, E. C. Fear, and D. T. Westwick, "Tissue sensing adaptive radar for breast cancer detection investigations of an improved skin-sensing method," IEEE Trans. Microw. Theory Tech., vol. 54, no. 4, pp. 1308-1314, June 2006.
43. D. W. Winters, E. J. Bond, B. D. Van Veen, and S. C. Hagness, "Estimation of the frequency-dependent average dielectric properties of breast tissue using a time-domain inverse scattering technique," IEEE Trans. Antennas Propag., vol. 54, no. 11, pp. 3517-3528, Nov. 2006.
44. E. Zastrow, S. K. Davis, M. Lazebnik, F. Kelcz, B. D. Van Veen, and S. C. Hagness, "Development of anatomically realistic numerical breast phantoms with accurate dielectric properties for modeling microwave interactions with the human breast," IEEE Trans. Biomed. Eng., vol. 55, no. 12, pp. 2792-2800, Dec. 2008.