A 3-D level set method for microwave breast imaging

IEEE Transactions on Biomedical Engineering

Volumn 62, Issue 10, 2015, Pages 2526-2534

  Colgan, Timothy J ^a   Hagness, Susan C ^a   Van Veen, Barry D ^a  

^a Wisconsin Electric Machines and Power Electronics Consortium   (United States)

Author keywords

Breast density; Level set method; Microwave imaging

Indexed keywords

ALGORITHMS; DIELECTRIC PROPERTIES; DROP BREAKUP; IMAGE PROCESSING; IMAGE RECONSTRUCTION; IMAGING SYSTEMS; IMAGING TECHNIQUES; INVERSE PROBLEMS; LEVEL MEASUREMENT; MEDICAL IMAGING; MICROWAVES; REPAIR;

3-D MICROWAVE IMAGING; BREAST DENSITY; HETEROGENEOUS DIELECTRICS; INVERSE SCATTERING ALGORITHM; LEVEL SET METHOD; MAMMOGRAPHIC DENSITY; MICROWAVE BREAST IMAGING; MICROWAVE IMAGING;

NUMERICAL METHODS;

ADIPOSE TISSUE; ALGORITHM; ARTICLE; BREAST; BREAST DENSITY; ELECTRIC FIELD; ELECTROMAGNETIC FIELD; IMAGE RECONSTRUCTION; LEVEL SET METHOD; MEASUREMENT ACCURACY; MICROWAVE BREAST IMAGING; MICROWAVE RADIATION; NUCLEAR MAGNETIC RESONANCE IMAGING; PHANTOM; SIMULATION; THREE DIMENSIONAL IMAGING; ANATOMY AND HISTOLOGY; FEMALE; HUMAN; IMAGING PHANTOM; PROCEDURES; THERAPEUTIC USE;

ALGORITHMS; BREAST; FEMALE; HUMANS; IMAGING, THREE-DIMENSIONAL; MICROWAVES; PHANTOMS, IMAGING;

EID: 84950236340     PISSN: 00189294     EISSN: 15582531     Source Type: Journal    
DOI: 10.1109/TBME.2015.2435735     Document Type: Article

References (24)

1. 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, Apr. 2007.
2. M. 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.
3. T. Rubaek et al., "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, Aug. 2007.
4. N. Irishina et al., "Structural level set inversion for microwave breast screening, " Inverse Probl., vol. 26, no. 3, 2010.
5. O. Dorn et al., "A shape reconstruction method for electromagnetic tomography using adjoint fields and level sets, " Inverse Probl., vol. 16, pp. 1119-1156, 2000.
6. M. R. Hajihashemi and M. El-Shenawee, "Level set algorithm for shape reconstruction of non-overlapping three-dimensional penetrable targets, " IEEE Trans. Geosci. Remote Sens., vol. 50, no. 1, pp. 75-86, Jan. 2012.
7. E. Zastrow et al., "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.
8. J. D. Shea et al., "Three-dimensional microwave imaging of realistic numerical breast phantoms via a multiple-frequency inverse scattering technique, " Med. Phys., vol. 37, no. 8, pp. 4210-4226, Aug. 2010.
9. K. Kerlikowske et al., "Longitudinal measurement of clinical mammographic breast density to improve estimation of breast cancer risk, " J. Natl. Cancer Inst., vol. 99, no. 5, pp. 386-395, 2007.
10. J. A. Harvey and V. E. Bovbjerg, "Quantitative assessment of mammographic breast density: Relationship with breast cancer risk, " Radiology, vol. 230, pp. 29-41, Jan. 2004.
11. O. Pawluczyk et al., "A volumetric method for estimation of breast density on digitized screen-film mammograms, " Med. Phys., vol. 30, no. 3, pp. 352-364, Mar. 2003.
12. S. van Engeland et al., "Volumetric breast density estimation from fullfield digital mammograms, " IEEE Trans. Med. Imag., vol. 25, no. 3, pp. 273-282, Mar. 2006.
13. T. J. Colgan et al., "3-D microwave imaging using a level set method for breast density evaluation, " presented at USNC-URSI National Radio Science Meeting, Boulder, CO, USA, Jan. 2013.
14. M. Lazebnik et al., "Highly accurate Debye models for normal and malignant breast tissue dielectric properties at microwave frequencies, " IEEE Microw. Wireless Compon. Lett., vol. 17, no. 12, pp. 822-824, Dec. 2007.
15. A. Franchois and C. Pichot, "Microwave imaging-Complex permittivity reconstruction with a Levenberg-Marquardt method, " IEEE Trans. Antennas Propag., vol. 2, no. 2, pp. 203-215, Feb. 1997.
16. T. J. Cui et al., "Low-frequency detection of two-dimensional buried objects using high-order extended Born approximations, " Inverse Probl., vol. 20, pp. S41-S62, 2004.
17. J. Nocedal and S. Wright, Nonlinear Optimization, 2nd ed. New York, NY, USA: Springer, 2006.
18. O. Dorn and D. Lesselier, "Level set methods for inverse scattering, " Inverse Probl., vol. 22, pp. R67-R131, 2006.
19. K. T. Ladas and A. J. Devaney, "GeneralizedART algorithm for diffraction tomography, " Inverse Probl., vol. 7, no. 1, pp. 109-125, 1991.
20. M. Lazebnik, L. McCartney, D. Popovic, C. B.Watkins, M. J. Lindstrom, J. Harter, S. Sewall, A. Magliocco, J. H. Booske, M. Okoniewski, and S. C. Hagness, " UWCEM numerical breast phantom repository. (2014). [Online]. Available: Http://uwcem.ece.wisc.edu.
21. A. Papoulis and S. U. Pillai, Probablity, Random Variable, and Stochastic Processes, 4th ed. Boston, MA, USA: McGraw-Hill, 2002.
22. R. F. Remis and P. M. van den Derg, "On the equivalence of the Newton- Kantorovich and distorted Born methods, " Inverse Probl., vol. 16, no. 1, pp. L1-L4, Feb. 2000.
23. P. C. Hansen, Rank-deficient and Discrete Ill-posed Problems: Numerical Aspects of Linear Inversion. Philadelphia, PA, USA: Society for Industrial and Applied Mathematics, 1998.
24. D. Kurrant and E. Fear, "Regional estimation of the dielectric properties of inhomogeneous objects using near-field reflection data, " Inverse Probl., vol. 28, pp. 075001-1-075001-27, 2012.