Spherical harmonics microwave algorithm for shape and location reconstruction of breast cancer tumor

IEEE Transactions on Medical Imaging

Volumn 25, Issue 10, 2006, Pages 1258-1271

  El Shenawee, Magda ^a,b   Miller, Eric L ^a,c  

^a IEEE   (United States)

^b 3202 Bell Engineering Center   (United States)

^c Northeastern University   (United States)

Author keywords

Breast cancer imaging; Electromagnetic scattering; Shape reconstruction problems; Steepest descent gradient method

Indexed keywords

ELECTROMAGNETIC SCATTERING; HARMONIC EXPANSION; SHAPE RECONSTRUCTION PROBLEMS; SPHERICAL HARMONIC DECOMPOSITION;

ALGORITHMS; GRADIENT METHODS; HARMONIC ANALYSIS; MEDICAL IMAGING; MICROWAVES; OPTIMIZATION; PROGRAM PROCESSORS; TUMORS;

IMAGE RECONSTRUCTION;

DIAGNOSTIC AGENT;

ALGORITHM; ARTICLE; ARTIFICIAL INTELLIGENCE; AUTOMATED PATTERN RECOGNITION; BIOLOGICAL MODEL; BREAST TUMOR; COMPUTER ASSISTED DIAGNOSIS; COMPUTER SIMULATION; DIAGNOSTIC IMAGING; HUMAN; IMAGE ENHANCEMENT; IMAGE QUALITY; INFORMATION RETRIEVAL; METHODOLOGY; MICROWAVE RADIATION; REPRODUCIBILITY; SENSITIVITY AND SPECIFICITY; THREE DIMENSIONAL IMAGING;

ALGORITHMS; ARTIFICIAL INTELLIGENCE; BREAST NEOPLASMS; COMPUTER SIMULATION; DIAGNOSTIC IMAGING; HUMANS; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; IMAGING, THREE-DIMENSIONAL; INFORMATION STORAGE AND RETRIEVAL; MICROWAVES; MODELS, BIOLOGICAL; PATTERN RECOGNITION, AUTOMATED; PHANTOMS, IMAGING; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY;

EID: 33947248589     PISSN: 02780062     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMI.2006.881377     Document Type: Article

References (44)

1. P. M. Meaney, M. W. Fanning, D. Li, S. P. Poplack, and K. D. Paulsen, "A clinical prototype for active microwave imaging of the breast," IEEE Trans. Microw. Theory Tech., vol. 11, no. 1, pp. 1841-1853, Jan. 2000.
2. P. M. Meaney, K. D. Paulsen, and J. T. Chang, "Near-field microwave imaging of biologically-based materials using a monopole transceiver system," IEEE Trans. Microw. Theory Tech., vol. 46, no. 1, pp. 31-15, Jan. 1998.
3. X. Li and S. C. Hagness, "A confocal microwave imaging algorithm for breast cancer detection," IEEE Microw. Wireless Compon. Lett., vol. 11, no. 3, pp. 130-132, Mar. 2001.
4. E. C. Fear and M. A. Stuchly, "Microwave detection of breast cancer," IEEE Trans. Microw. Theory Techn., vol. 46, no. 5, pp. 1854-1863, Nov. 2000.
5. S. Hagness, A. Taflove, and J. E. Bridges, "Three-dimensional FDTD analysis of a pulsed microwave confocal systems for breast cancer detection: Design of an antenna-array element," IEEE Trans. Antennas Propag., vol. 47, pp. 783-791, May 1999.
6. E. J. Bond, X. Li, S. Hagness, and B. D. Van Veen, "Microwave imaging via space-time beamforming for early detection of breast cancer," in IEEE Int. Conf. Acoustics Speech Signal Process., May 13-17, 2002, vol. 3, pp. 2909-2912.
7. E. C. Fear, S. C. Hagness, P. M. Meaney, M. Okoniewski, and M. Stuchly, "Enhancing breast tumor detection with near-field imaging," IEEE Microwave Mag., pp. 48-56, Mar. 2002.
8. Q. Fang, P. M. Meaney, S. D. Geimer, A. V. Streltsov, and K. D. Paulsen, "Microwave image reconstruction from 3-D fields coupled to 2-D parameter estimation," IEEE Trans. Med. Imag., vol. 23, no. 4, pp. 475-484, Apr. 2004.
9. A. M. Campbell and D. V. Land, "Dielectric properties of female human breast tissue measures in vitro at 3.2 GHz," Phys. Med. Biol., vol. 37, no. 1, pp. 193-210, 1992.
10. B. Alberts, D. Bray, J. Lewis, M. Raff, K. Roberts, and J. D. Watson, Molecular Biology of the Cell, 2nd ed. New York: Garland, 1989.
11. G. Boverman, A. Li, Q. Zhang, T. Chaves, E. L. Miller, D. H. Brooks, and D. A. Boas, "Quantitative spectroscopic diffuse optical tomography guided by imperfect a priori structural information," Phys. Med. Biol., vol. 50, no. 17, pp. 3941-3956, Sep. 2005.
12. J. Lin and W. C. Chew, "Solution of the three-dimensional electromagnetic inverse problem by the local shape function and the conjugate gradient fast Fourier transform methods," J. Opt. Soc. Amer. A, vol. 14, no. 11, pp. 3037-3045, Nov. 1997.
13. Q. H. Liu, Z. Q. Zhang, T. T. Wang, J. A. Bryan, G. A. Ybarra, L. W. Nolte, and W. T. Joines, "Active microwave imaging I - 2-D forward and inverse scattering methods," IEEE Trans. Microwave Theory Tech., vol. 50, no. 1, pp. 123-133, Jan. 2002.
14. E. J. Garboczi, "Three-dimensional mathematical analysis of particle shape using X-ray tomography and spherical harmonics: application to aggregates used in concrete," Cement Concrete Res., vol. 32, no. 10, pp. 1621-1638, Oct. 2002.
15. W. C. Chew, "Imaging and inverse problems in electromagnetics," in Advances in Computational Electrodynamics, A. Taflove, Ed. Boston, MA: Artech House, 1998, ch. 12, pp. 653-702.
16. W. C. Chew and Y. M. Wang, "Reconstruction of two-dimensional permittivity distribution using the distorted Born iterative method," IEEE Trans. Med. Imag., vol. 9, no. 2, pp. 218-225, Jun. 1991.
17. 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.
18. K. D. Paulsen, P. M. Meaney, M. J. Moskowitz, and J. H. Sullivan, Jr., "A dual mesh scheme for finite element based reconstruction algorithms," IEEE Trans. Med. Imag., vol. 14, no. 3, pp. 504-514, Sep. 1995.
19. P. M. Meaney, K. D. Paulsen, B. W. Pogue, and M. I. Miga, "Microwave image reconstruction utilizing log-magnitude and unwrapped phase to improve high-contrast object recovery," IEEE Trans. Med. Imag., vol. 20, no. 2, pp. 104-116, Feb. 2001.
20. N. Joachimowicz, C. Pichot, and J. Hugonin, "Inverse scattering: An iterative numerical method for electromagnetic imaging," IEEE Trans. Antennas Propag., vol. 39, no. 12, pp. 1742-1753, Dec. 1991.
21. N. Joachimowicz, J. J. Mallorqui, J. Bolomey, and A. Broquetas, "Convergence and stability assessment of Newton-Kantorovich reconstruction algorithms for microwave tomography," IEEE Trans. Med. Imag., vol. 17, no. 4, pp. 562-570, Aug. 1998.
22. A. Abubakar, R. M. van Berg, and J. J. Mallorqui, "Imaging of biological data using multiplicative regularized contrast source inversion method," IEEE Trans. Microw. Theory Tech., vol. 50, no. 7, pp. 1761-1771, Jul. 2002.
23. A. Abubakar, P. M. van Berg, and S. Y. Semenov, "A robust iterative method for Born inversion," IEEE Trans. Geosci. Remote Sen., vol. 42, no. 2, pp. 342-354, Feb. 2004.
24. J. T. Rekanos, T. V. Yioultsis, and T. D. Tsiboukis, "Inverse scattering using the finite-element method and a nonlinear optimization technique," IEEE Trans. Microw Theory Techn., vol. 47, no. 3, pp. 336-344, Mar. 1999.
25. K. I. Schultz and D. L. Jaggard, "Microwave projection imaging for refractive objects: A new method," J. Opt. Soc. Amer. A, vol. 4, no. 9, pp. 1773-1782, Sep. 1987.
26. S. Caorsi, G. L. Gragnani, and M. Pastorino, "Reconstruction of dielectric permittivity distributions in arbitrary 2-D inhomogeneous biological bodies by a multiview microwave numerical method," IEEE Trans. Med. Imag., vol. 12, no. 2, pp. 232-239, Jun. 1993.
27. C. Chiu and R. Yang, "Electromagnetic imaging for complex cylindrical objects," IEEE Trans. Med. Imag., vol. 14, no. 4, pp. 752-756, Dec. 1995.
28. A. E. Bulyshev, S. Y. Semenov, A. E. Souvorov, R. H. Svenson, A. G. Nazarov, Y. E. Sizov, and G. P. Tatsis, "Computational modeling of three-dimensional microwave tomography of breast cancer," IEEE Trans. Biomed. Eng., vol. 48, no. 9, pp. 1053-1056, Sep. 2001.
29. A. Abubakar, P. M. van den Berg, and S. Y. Semenov, "Two- and three-dimensional algorithms for microwave imaging and inverse scattering," Progress Electromagn. Res., vol. 37, pp. 57-79, 2002.
30. Z. Q. Zhang and Q. H. Liu, "3-D nonlinear image reconstruction for microwave biomedical imaging," IEEE Trans. Biomed. Eng., vol. 51, no. 3, pp. 544-548, Mar. 2004.
31. K. Belkebir, E. E. Kleinman, and C. Pichot, "Microwave imaging - Location and shape reconstruction from multifrequecny scattering data," IEEE Trans. Microw. Theory Tech., vol. 45, no. 4, pp. 469-476, Apr. 1997.
32. E. L. Miller, M. Kilmer, and C. Rappaport, "A new shape-based method for object localization and characterization from scattered field data," IEEE Trans. Geosci. Remote Sens., vol. 38, no. 4, pp. 1682-1696, Jul. 2000.
33. C. C. Chiu and Y. Kiang, "Microwave imaging of multiple conducting cylinders," IEEE Trans. Antennas Propag., vol. 40, no. 8, pp. 933-941, Aug. 1992.
34. C. Chiu and Y. Kiang, "Electromagnetic inverse scattering of a conducting cylinder buried in a lossy half-space," IEEE Trans. Antennas Propag., vol. 40, no. 12, pp. 1562-1565, Dec. 1992.
35. A. Qing, "Electromagnetic imaging of two-dimensional perfectly conducting cylinders with transverse electric scattered field," IEEE Trans. Antennas Propag., vol. 50, no. 12, pp. 17861-1794, Dec. 2002.
36. I. T. Rekanos and T. D. Tsiboukis, "An inverse scattering technique for microwave imaging of binary objects," IEEE Trans. Microw. Theory Tech., vol. 50, no. 5, pp. 1439-1441, May 2002.
37. H. Tortel and M. Saillard, "Shape reconstruction of 3D perfectly conducting object," presented at the URSI-GA, Maastricht, The Netherlands, Jul.-Aug. 2002.
38. D. W. Dearholt and W. R. McSpadden, Electromagnetic Wave Propagation. New York: McGraw-Hill, 1973.
39. L. Medgyesi-Mitschang, J. Putnam, and M. Gedera, "Generalized method of moments for three-dimensional penetrable scatterers," J. Opt. Soc. Amer. A, vol. 11, no. 4, pp. 1383-1398, Apr. 1994.
40. M. El-Shenawee and E. Miller, "Multiple-incidence/multi-frequency for profile reconstruction of random rough surfaces using the three-dimensional electromagnetic fast multipole model," IEEE Trans. Geosci. Remote Sens., vol. 42, no. 11, pp. 2499-2510, Nov. 2004.
41. R. Fletcher, "A new approach to variable metric algorithms," Comput. J., vol. 13, no. 3, pp. 317-322, August 1970.
42. _, Practical Methods of Optimization. New York: Wiley, 1981, vol. 2.
43. E. W. Weisstein et al., "Star convex," From MathWorld - A Wolfram web resource [Online]. Available: http://www.mathworld.wolfram.com/ StarConvex.html
44. M. N. O. Sadiku, Numerical Techniques in Electromagnetics, 2nd ed. Boca Raton, FL: CRC, 2001.