Nonlinear microwave imaging for breast-cancer screening using Gauss-Newton's method and the CGLS inversion algorithm

IEEE Transactions on Antennas and Propagation

Volumn 55, Issue 8, 2007, Pages 2320-2331

  Rubæ, Tonny ^a   Meaney, Paul M ^b   Meincke, Peter ^a   Paulsen, Keith D ^b  

^a TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

^b DARTMOUTH COLLEGE   (United States)

Author keywords

Biomedical electromagnetic imaging; Cancer; Electromagnetic scattering inverse problems; Image reconstruction; Imaging; Inverse problems; Microwave imaging; Nonlinear equations

Indexed keywords

ALGORITHMS; IMAGE RECONSTRUCTION; INVERSE PROBLEMS; MAGNETIC RESONANCE IMAGING; MEDICAL IMAGING; MICROWAVES; NONLINEAR EQUATIONS;

BIOMEDICAL ELECTROMAGNETIC IMAGING; BREAST-CANCER SCREENING; INVERSION ALGORITHM; MICROWAVE IMAGING;

ELECTROMAGNETIC WAVE SCATTERING;

EID: 34548171692     PISSN: 0018926X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAP.2007.901993     Document Type: Article

References (25)

1. X. Li, E. Bond, B. Van Veen, and S. Hagness, "An overview of ultra-wideband microwave imaging via space-time beamforming for early-stage breast-cancer detection," IEEE Antennas Propag. Mag., vol. 47, no. 1, pp. 19-34, 2005.
2. E. C. Fear, P. Meaney, and M. Stuchly, "Microwaves for breast cancer detection?," IEEE Potentials, vol. 22, no. 1, pp. 12-18, 2003.
3. T. Williams, E. C. Fear, and D. Westwick, "Tissue sensing adaptive radar for breast cancer detection: Investigations of reflections from the skin," in IEEE Antennas and Propagation Society Symp. in conjunction with USNC/URSI National Radio Science Meeting and IEEE Antennas and Propagation Soc. AP-S Int. Symp. Digest, 2004, vol. 3, pp. 2436-2439.
4. J. Sill and E. C. Fear, "Tissue sensing adaptive radar for breast cancer detection: Preliminary experimental results," in IEEE Int. Microwave Symp. MTT-S Digest, 2005, p. 4.
5. J. Sill and E. C. Fear, "Tissue sensing adaptive radar for breast cancer detection: Study of immersion liquids," Electron. Lett., vol. 41, no. 3, pp. 113-115, 2005.
6. J. M. Sill and E. C. Fear, "Tissue sensing adaptive radar for breast cancer detection-experimental investigation of simple tumor models," IEEE Trans. Microw. Theory Tech., vol. 53, no. 11, pp. 3312-3319, 2005.
7. R. Nilavalan, J. Leendertz, I. Craddock, A. Preece, and R. Benjamin, "Numerical analysis of microwave detection of breast tumours using synthetic focussing techniques," in Proc. IEEE Antennas and Propagation Society Symp., 2004, vol. 3, pp. 2440-2443.
8. A. Bulyshev, A. Souvorov, S. Semenov, R. Svenson, A. Nazarov, Y. Sizov, and G. Tatsis, "Three-dimensional microwave tomography. Theory and computer experiments in scalar approximation," Inverse Problems, vol. 16, no. 3, pp. 863-875, 2000.
9. S. Semenov, R. Svenson, A. Bulyshev, A. Souvorov, A. Nazarov, Y. Sizov, V. Posukh, A. Pavlovsky, P. Repin, A. Starostin, B. Voinov, M. Taran, G. Tatsis, and V. Baranov, "Three-dimensional microwave tomography: Initial experimental imaging of animals," IEEE Trans. Biomed. Eng. vol. 49, no. 1, pp. 55-63, 2002.
10. P. C. Hansen, Rank-Deficient and Discrete Ill-Posed Problems: Numerical Aspects of Linear Inversion, ser. Monographs on Mathematical Modeling and Computation. Philadelphia, PA: SIAM, 1998.
11. Q. Fang, P. Meaney, S. Geimer, A. Streltsov, and K. Paulsen, "Microwave image reconstruction from 3-D fields coupled to 2-D parameter estimation," IEEE Trans. Med. Imaging, vol. 23, no. 4, pp. 475-484, 2004.
12. Q. Fang, "Computational methods for microwave medical imaging," Ph.D. dissertation, Thayer School of Engineering, Dartmouth College, Hanover, NH, 2004.
13. P. Meaney, S. Pendergrass, M. Fanning, D. Li, and K. Paulsen, "Importance of using a reduced contrast coupling medium in 2D microwave breast imaging," J. Electromagn. Waves Applicat., vol. 17, no. 2, pp. 333-355, 2003.
14. D. Li, P. M. Meaney, T. Raynolds, S. A. Pendergrass, M. W. Fanning, and K. D. Paulsen, "Parallel-detection microwave spectroscopy system for breast imaging," Rev. Scientific Instruments, vol. 75, no. 7, pp. 2305-2313, 2004.
15. P. Meaney, K. Paulsen, S. Geimer, S. Haider, and M. Fanning, "Quantification of 3-D field effects during 2-D microwave imaging," IEEE Trans. Biomed. Eng., vol. 49, no. 7, pp. 708-720, 2002.
16. P. Meaney, K. Paulsen, B. Pogue, and M. Miga, "Microwave image reconstruction utilizing log-magnitude and unwrapped phase to improve high-contrast object recovery," IEEE Trans. Med. Imaging, vol. 20, no. 2, pp. 104-116, 2001.
17. C. T. Kelley, Iterative Methods for Linear and Nonlinear Equations ser. Frontiers in Applied Mathematics. Philadelphia, PA: SIAM, 1995, vol. 16.
18. C. T. Kelley, Solving Nonlinear Equations With Newton's Method. Philadelphia, PA: SIAM, 2003.
19. P. Meaney, K. Paulsen, A. Hartov, and R. Crane, "Microwave imaging for tissue assessment: Initial evaluation in multitarget tissue-equivalent phantoms," IEEE Trans. Biomed. Eng., vol. 43, no. 9, pp. 878-890, 1996.
20. K. Paulsen, P. Meaney, M. Moskowitz, J. Sullivan, and J. M., "A dual mesh scheme for finite element based reconstruction algorithms," IEEE Trans. Biomed. Eng., vol. 14, no. 3, pp. 504-514, 1995.
21. K. Paulsen and P. Meaney, "Nonactive antenna compensation for fixed-array microwave imaging - Part I: Model development," IEEE Trans. Biomed. Eng., vol. 18, no. 6, pp. 496-507, 1999.
22. P. Meaney, K. Paulsen, J. Chang, M. Fanning, and A. Hartov, "Nonactive antenna compensation for fixed array microwave imaging - Part II: Imaging results," IEEE Trans. Biomed. Eng., vol. 18, no. 6, pp. 508-518, 1999.
23. N. Joachimowicz, C. Pichot, and J. Hugonin, "Inverse scattering: An iterative numerical method for electromagnetic imaging," IEEE Trans. Antennas Propag., vol. 39, no. 121, pp. 1742-1753, 1991.
24. Q. Fang, P. Meaney, and K. Paulsen, "Multi-dimensional phase un-wrapping: Definition and properties," IEEE Trans. Image Processing, accepted for publication.
25. P. Meaney, E. Demidenko, N. Yagnamurthy, D. Li, M. Fanning, and K. Paulsen, "A two-stage microwave image reconstruction procedure for improved internal feature extraction," Med. Phys., vol. 28, no. 11, pp. 2358-2369, 2001.