High-resolution imaging without iteration: A fast and robust method for breast ultrasound tomography

Journal of the Acoustical Society of America

Volumn 130, Issue 3, 2011, Pages 1721-1734

  Huthwaite, P ^a   Simonetti, F ^b  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

^b 705 Engineering Research Center   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BREAST CANCER SCREENING; BREAST ULTRASOUND; COMPLEX ANATOMY; CORRECT SOLUTION; DIFFRACTION EFFECTS; DIFFRACTION TOMOGRAPHY; HIGH-RESOLUTION IMAGING; HIGH-RESOLUTION METHODS; HIGHER RESOLUTION; HYBRID ALGORITHMS; IMAGING ALGORITHM; INVERSION METHODS; LOW RESOLUTION; REALISTIC DATA; ROBUST METHODS; SOUND SPEED; THREE DIMENSIONAL SIMULATIONS; TIME OF FLIGHT; TIME-OF-FLIGHT TOMOGRAPHIES;

ALGORITHMS; DIFFRACTION; MECHANICAL PROPERTIES; THREE DIMENSIONAL COMPUTER GRAPHICS; TOMOGRAPHY; ULTRASONICS;

DIAGNOSTIC RADIOGRAPHY;

ALGORITHM; ARTICLE; ARTIFACT; BREAST; BREAST TUMOR; COMPUTER ASSISTED DIAGNOSIS; COMPUTER SIMULATION; ECHOGRAPHY; ECHOMAMMOGRAPHY; FEMALE; FOURIER ANALYSIS; HUMAN; IMAGE QUALITY; INSTRUMENTATION; MATHEMATICAL COMPUTING; PATHOLOGY; PREDICTIVE VALUE; RADIATION SCATTERING; TIME; ULTRASOUND;

ALGORITHMS; ARTIFACTS; BREAST; BREAST NEOPLASMS; COMPUTER SIMULATION; FEMALE; FOURIER ANALYSIS; HUMANS; IMAGE INTERPRETATION, COMPUTER-ASSISTED; NUMERICAL ANALYSIS, COMPUTER-ASSISTED; PHANTOMS, IMAGING; PREDICTIVE VALUE OF TESTS; SCATTERING, RADIATION; TIME FACTORS; ULTRASONICS; ULTRASONOGRAPHY, MAMMARY;

EID: 80052528003     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.3613936     Document Type: Article

References (67)

1. F. Kamangar, G. Dores, and W. Anderson, Patterns of cancer incidence, mortality, and prevalence across five continents: defining priorities to reduce cancer disparities in different geographic regions of the world., J. Clin. Oncol. 24, 2137 (2006). 10.1200/JCO.2005.05.2308 (Pubitemid 46655601)
2. P. Autier, M. Boniol, C. LaVecchia, L. Vatten, A. Gavin, C. Hery, and M. Heanue, Disparities in breast cancer mortality trends between 30 European countries: retrospective trend analysis of who mortality database., Br. Med. J. 341, 3620 (2010). 10.1136/bmj.c3620
3. M. J. Silverstein, M. D. Lagios, A. Recht, D. C. Allred, S. E. Harms, R. Holland, D. R. Holmes, L. L. Hughes, R. J. Jackman, T. B. Julian, H. M. Kuerer, H. C. Mabry, D. R. McCready, K. M. Masters, D. L. Page, S. H. Parker, H. A. Pass, M. Pegram, E. Rubin, A. T. Stavros, D. Tripathy, F. Vicini, and P. W. Whitworth, Image-detected breast cancer: State of the art diagnosis and treatment. J. Am. Coll. Surg. 201, 586-597 (2005). 10.1016/j.jamcollsurg.2005. 05.032 (Pubitemid 41393082)
4. T. M. Kolb, J. Lichy, and J. H. Newhouse, Comparison of the performance of screening mammography, physical examination, and breast US and evaluation of factors that influence them: An analysis of 27,825 patient evaluation., Radiology 225, 165-175 (2002). 10.1148/radiol.2251011667
5. P. C. Stomper, D. J. D'Souza, P. A. Dinitto, and M. A. Arredondo, Analysis of parenchymal density on mammograms in 1353 women 25-79 years old., Am. J. Roentgenol. 167, 1261-1265 (1996). (Pubitemid 26376247)
6. D. Saslow, C. Boetes, W. Burke, S. Harms, M. O. Leach, C. D. Lehman, E. Morris, E. Pisano, M. Schnall, S. Sener, R. A. Smith, E. Warner, M. Yaffe, K. S. Andrews, and C. A. Russell, American Cancer Society guidelines for breast screening with MRI as an adjunct to mammography., Ca-Cancer J. Clin. 57, 75 (2007). 10.3322/canjclin.57.2.75
7. M. Kriege, C. T. M. Brekelmans, C. Boetes, P. E. Besnard, H. M. Zonderland, I. M. Obdeijn, R. A. Manoliu, T. Kok, H. Peterse, M. M. A. Tilanus-Linthorst, S. H. Muller, S. Meijer, J. C. Oosterwijk, L. V. A. M. Beex, R. A. E. M. Tollenaar, H. J. de Koning, E. J. T. Rutgers, and J. G. M. Klijn, Efficacy of MRI and mammography for breast-cancer screening in women with a familial or genetic predisposition., N. Engl. J. Med. 351, 427 (2004). 10.1056/NEJMoa031759 (Pubitemid 38988592)
8. J. F. Greenleaf, S. A. Johnson, S. L. Lee, G. T. Herman, and E. H. Wood, Algebraic reconstruction of spatial distributions of acoustic absorption within tissue from their two- dimensional acoustic projections., Int. Symp. Acoust. Hologr. Imag., 5th, Palo Alto, Calif 5, 591-603 (1973).
9. P. Carson, C. Meyer, A. Scherzinger, and T. Oughton, Breast imaging in coronal planes with simultaneous pulse echo and transmission ultrasound., Science 214, 1141 (1981). 10.1126/science.7302585
10. J. Schreiman, J. Gisvold, J. Greenleaf, and R. Bahn, Ultrasound transmission computed tomography of the breast., Radiology 150, 523 (1984).
11. M. P. Andre, H. S. Janee, P. Martin, G. P. Otto, B. A. Spivey, and D. A. Palmer, Highspeed data acquisition in a diffraction tomography system employing large-scale toroidal arrays., Int. J. Imag. Syst. Tech. 8, 137-147 (1997). 10.1002/(SICI)1098-1098(1997)8:1<>1.0.CO;2-F (Pubitemid 127549468)
12. N. Duric, P. Littrup, L. Poulo, A. Babkin, R. Pevzner, E. Holsapple, O. Rama, and C. Glide, Detection of breast cancer with ultrasound tomography: First results with the computed ultrasound risk evaluation (cure) prototype., Med. Phys. 34, 773 (2007). 10.1118/1.2432161 (Pubitemid 46185157)
13. H. Gemmeke and N. Ruiter, 3d ultrasound computer tomography for medical imaging., Nucl. Instrum. Methods Phys. Res. A 580, 1057-1065 (2007). 10.1016/j.nima.2007.06.116 (Pubitemid 47379939)
14. S. Mensah and E. Franceschini, Near-field ultrasound tomography., J. Acoust. Soc. Am. 121, 1423-1433 (2007). 10.1121/1.2436637 (Pubitemid 46555407)
15. C. Hansen, N. Huttebrauker, H. Ermert, M. Hollenhorst, L. Heuser, and G. Schulte-Altedorneburg, Determination of a mean sound velocity in the female breast for artifact reduction in full angle spatial compounding., Proc.-IEEE Ultrason. Symp. 1, 538-541 (2009).
16. J. F. Greenleaf, S. A. Johnson, W. F. Samayoa, and F. A. Duck, Algebraic reconstruction of spatial distributions of acoustic velocities in tissue from their time-of-flight profiles., in Acoustical Holography, edited by, P. S. Green, (Plenum, New York, 1975), Vol. 6, pp. 71-90.
17. J. Greenleaf, S. Johnson, and R. Bahn, Quantitative cross-sectional imaging of ultrasound parameters., in Ultrasonics Symposium 1977 (1977), pp. 989-995.
18. H. Schomberg, An improved approach to reconstructive ultrasound tomography., J. Phys. D 11, L181 (1978). 10.1088/0022-3727/11/15/004
19. M. Krueger, A. Pesavento, and H. Ermert, A modified time-of-flight tomography concept for ultrasonic breast imaging., Proc.-IEE Ultrason. Symp. 2, 1381-1385 (1996).
20. Y. Quan and L. Huang, Sound-speed tomography using first-arrival transmission ultrasound for a ring array., Proc. SPIE 6513, 651306 (2007). 10.1117/12.709647 (Pubitemid 47550441)
21. S. Li, M. Jackowski, D. Dione, T. Varslot, L. Staib, and K. Mueller, Refraction corrected transmission ultrasound computed tomography for application in breast imaging., Med. Phys. 37, 2233 (2010). 10.1118/1.3360180
22. A. Hormati, I. Jovanovic, O. Roy, and M. Vetterli, Robust ultrasound travel-time tomography using the bent ray model., Proc. SPIE 7629, 76290I (2010). 10.1117/12.844693
23. K. Tanabe, Projection method for solving a singular system of linear equations and its applications., Num. Math. 17, 203-214 (1971). 10.1007/BF01436376
24. A. Louis and F. Natterer, Mathematical problems of computerized tomography., Proc. IEEE 71, 379-389 (1983). 10.1109/PROC.1983.12596 (Pubitemid 13099664)
25. P. Williamson, A guide to the limits of resolution imposed by scattering in ray tomography., Geophysics 56, 202-207 (1991). 10.1190/1.1443032
26. R. Snieder and A. Lomax, Wavefield smoothing and the effect of rough velocity perturbations on arrival times and amplitudes., Geophys. J. Int. 125, 796-812 (1996). 10.1111/j.1365-246X.1996.tb06024.x
27. G. Schuster, Resolution limits for crosswell migration and traveltime tomography., Geophys. J. Int. 127, 427-440 (1996). 10.1111/j.1365-246X.1996. tb04731.x
28. R. Pratt, Seismic waveform inversion in the frequency domain. I. Theory and verification in a physical scale model., Geophysics 64, 888-901 (1999). 10.1190/1.1444597 (Pubitemid 29511468)
29. P. Thore and C. Juliard, Fresnel zone effect on seismic velocity resolution., Geophysics 64, 593-603 (1999). 10.1190/1.1444566 (Pubitemid 29388692)
30. S. Hung, F. Dahlen, and G. Nolet, Wavefront healing: a banana-doughnut perspective., Geophys. J. Int. 146, 289-312 (2001). 10.1046/j.1365-246x.2001. 01466.x (Pubitemid 32722797)
31. J. Spetzler, C. Sivaji, O. Nishizawa, and Y. Fukushima, A test of ray theory and scattering theory based on a laboratory experiment using ultrasonic waves and numerical simulation by finite-difference method., Geophys. J. Int. 148, 165-178 (2002). (Pubitemid 34128955)
32. A. Devaney, A filtered backpropagation algorithm for diffraction tomography., Ultrason. Imag. 4, 336-350 (1982). 10.1016/0161-7346(82)90017-7 (Pubitemid 13169103)
33. M. Born and E. Wolf, Principles of Optics (Cambridge University Press, Cambridge, UK, 1999), pp. 695-703.
34. A. C. Kak and M. Slaney, Principles of Computerized Tomographic Reconstruction (IEEE Press, New York, 1998), pp. 203-218.
35. F. Simonetti, L. Huang, N. Duric, and P. Littrup, Diffraction and coherence in breast ultrasound tomography: A study with a toroidal array., Med. Phys. 36, 2955 (2009). 10.1118/1.3148533
36. F. Natterer and F. Wubbeling, Mathematical Methods in Image Reconstruction (Society for Industrial Mathematics, Philadelphia, 2001).
37. A. Tarantola, Inverse Problem Theory and Methods for Model Parameter Estimation (Society for Industrial Mathematics, Philadelphia, 2005).
38. J. Wiskin, D. Borup, S. Johnson, M. Berggren, T. Abbott, and R. Hanover, Full-wave, non-linear, inverse scattering., Acoust. Imag. 28, 183-193 (2007). 10.1007/1-4020-5721-0-20
39. T. D. Mast, Aberration correction for time-domain ultrasound diffraction tomography., J. Acoust. Soc. Am. 112, 55 (2002). 10.1121/1.1481063 (Pubitemid 34747738)
40. P. M. Morse and K. U. Ingard, Theoretical Acoustics (McGraw-Hill, New York, 1968), pp. 227-305.
41. S. Pourjavid and O. Tretiak, Numerical solution of the direct scattering problem through the transformed acoustical wave equation., J. Acoust. Soc. Am. 91, 639 (1992). 10.1121/1.402524
42. W. Chew and Y. Wang, Reconstruction of two-dimensional permittivity distribution using the distorted born iterative method., IEEE Trans. Med. Imag. 9, 218-225 (1990). 10.1109/42.56334 (Pubitemid 20725003)
43. F. Simonetti and L. Huang, From beamforming to diffraction tomography., J. Appl. Phys. 103, 103110 (2008). 10.1063/1.2927433 (Pubitemid 351776430)
44. S. Norton and M. Linzer, Ultrasonic reflectivity imaging in three dimensions: exact inverse scattering solutions for plane, cylindrical, and spherical apertures., IEEE Trans. Biomed. Eng. 28, 202 (1981). 10.1109/TBME.1981.324791
45. F. Anderson and F. Morgan, Active imaging analysis via ellipsoidal projections., Acoust. Imag. 21, 171-182 (1995).
46. J. Jensen, S. Nikolov, K. Gammelmark, and M. Pedersen, Synthetic aperture ultrasound imaging., Ultrasonics 44, e5-e15 (2006). 10.1016/j.ultras.2006.07. 017 (Pubitemid 46017066)
47. S. Li, K. Mueller, M. Jackowski, D. Dione, and L. Staib, Fast marching method to correct for refraction in ultrasound computed tomography., in 3rd IEEE International Symposium on Biomedical Imaging: Nano to Macro 2006, pp. 896-899.
48. J. Sethian, A fast marching level set method for monotonically advancing fronts., Proc. Natl. Acad. Sci. U.S.A. 93, 1591 (1996). 10.1073/pnas.93.4.1591 (Pubitemid 26075170)
49. W. Schneider, Integral formulation for migration in two and three dimensions., Geophysics 43, 49 (1978). 10.1190/1.1440828
50. M. Haynes and M. Moghaddam, Large-domain, low-contrast acoustic inverse scattering for ultrasound breast imaging., IEEE Trans. Biomed. Eng. 57, 2712-2722 (2010). 10.1109/TBME.2010.2059023
51. T. D. Mast, Wideband quantitative ultrasonic imaging by time-domain diffraction tomography., J. Acoust. Soc. Am. 106, 3061 (1999). 10.1121/1.428159
52. C. Li, N. Duric, P. Littrup, and L. Huang, In vivo breast sound-speed imaging with ultrasound tomography., Ultrasound Med. Biol. 35, 1615-1628 (2009). 10.1016/j.ultrasmedbio.2009.05.011
53. S. Goss, R. Johnston, and F. Dunn, Comprehensive compilation of empirical ultrasonic properties of mammalian tissues., J. Acoust. Soc. Am. 64, 423 (1978). 10.1121/1.382016 (Pubitemid 9001200)
54. E. Franceschini, S. Mensah, D. Amy, and J. Lefebvre, A 2-d anatomic breast ductal computer phantom for ultrasonic imaging., IEEE Trans. Ultrason. Ferroelectr. Freq. Cont. 53, 1281 (2006). 10.1109/TUFFC.2006.1665076
55. L. Foldy, The multiple scattering of waves. I. General theory of isotropic scattering by randomly distributed scatterers., Phys. Rev. 67, 107-119 (1945). 10.1103/PhysRev.67.107
56. M. Cowan, K. Beaty, J. Page, Z. Liu, and P. Sheng, Group velocity of acoustic waves in strongly scattering media: Dependence on the volume fraction of scatterers., Phys. Rev. E 58, 6626-6636 (1998). 10.1103/PhysRevE.58.6626 (Pubitemid 128591764)
57. T. D. Mast, Empirical relationships between acoustic parameters in human soft tissues., Acoust. Res. Lett. Online 1, 37 (2000). 10.1121/1.1336896 (Pubitemid 38957884)
58. F. Simonetti, L. Huang, and N. Duric, On the sampling of the far-field operator with a circular ring array., J. Appl. Phys. 101, 083103 (2007). 10.1063/1.2717086 (Pubitemid 46685326)
59. K. Yee, Numerical solution of inital boundary value problems involving maxwell's equations in isotropic media., IEEE Trans. Antennas Propag. 14, 302-307 (1966). 10.1109/TAP.1966.1138693
60. D. Komatitsch and R. Martin, An unsplit convolutional perfectly matched layer improved at grazing incidence for the seismic wave equation., Geophysics 72, 155-167 (2007). 10.1190/1.2757586 (Pubitemid 47382204)
61. N. Wiener, Extrapolation, Interpolation, and Smoothing of Stationary Time Series (The MIT Press, Cambridge, MA, 1964), pp. 1-116.
62. C. Li, L. Huang, N. Duric, H. Zhang, and C. Rowe, An improved automatic time-of-flight picker for medical ultrasound tomography., Ultrasonics 49, 61-72 (2009). 10.1016/j.ultras.2008.05.005
63. A. Goldstein and B. Madrazo, Slice-thickness artifacts in gray-scale ultrasound., J. Clin. Ultrasound 9, 365-375 (1981). 10.1002/jcu.v9:7 (Pubitemid 11053369)
64. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1996), pp. 73-75.
65. F. Simonetti and L. Huang, Synthetic aperture diffraction tomography for three-dimensional imaging, Proc. R. Soc. London., Ser. A 465, 2877 (2009).
66. R. Lavarello and M. Oelze, Density imaging using inverse scattering., J. Acoust. Soc. Am. 125, 793 (2009). 10.1121/1.3050249
67. F. Simonetti, L. Huang, and N. Duric, A multiscale approach to diffraction tomography of complex three-dimensional objects., Appl. Phys. Lett. 95, 061904 (2009). 10.1063/1.3204021