A full vectorial contrast source inversion scheme for three-dimensional acoustic imaging of both compressibility and density profiles

Journal of the Acoustical Society of America

Volumn 121, Issue 3, 2007, Pages 1538-1549

  Van Dongen, Koen W A ^a,b   Wright, William M D ^a  

^a UNIVERSITY COLLEGE CORK   (Ireland)

^b DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC WAVE VELOCITY; COMPRESSIBILITY; CONJUGATE GRADIENT METHOD; INTEGRAL EQUATIONS; OPTIMIZATION; PARAMETER ESTIMATION;

CONJUGATE GRADIENT INVERSION SCHEMES; DENSITY PROFILES; VECTORIAL CONTRAST SOURCE INVERSION SCHEMES; VELOCITY WAVE FIELDS;

ACOUSTIC IMAGING;

ACOUSTICS; ARTICLE; DATA ANALYSIS; IMAGING SYSTEM; MATHEMATICAL MODEL; PRIORITY JOURNAL; SOUND DETECTION; SOUND TRANSMISSION; STATISTICAL SIGNIFICANCE; THREE DIMENSIONAL IMAGING; TOMOGRAPHY; ULTRASOUND; WHITE NOISE;

ACOUSTICS; HUMANS; IMAGE INTERPRETATION, COMPUTER-ASSISTED; IMAGING, THREE-DIMENSIONAL; MODELS, THEORETICAL; NOISE;

EID: 34147182741     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.2431333     Document Type: Article

References (51)

1. S. J. 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 (2), 202-220 (1981).
2. J. F. Greenleaf and R. C. Bahn, " Clinical imaging with transmissive ultrasonic computerized-tomography., " IEEE Trans. Biomed. Eng. 28 (2), 177-185 (1981).
3. A. J. Devaney, " A filtered back-propagation algorithm for diffraction tomography., " Ultrason. Imaging 4 (4), 336-350 (1982).
4. H. W. Jones, " Recent activity in ultrasonic tomography., " Ultrasonics 31.5, 353-360 (1993).
5. S. A. Johnson, D. A. Christensen, C. C. Johnson, J. F. Greenleaf, and B. Rajagopalan, " Nonintrusive measurement of microwave or ultrasound induced hyperthermia by acoustic temperature tomography., " Proceedings 1977 IEEE Ultrasonics Symposium, 977-982 (1977).
6. N. T. Sanghvi, F. J. Fry, R. Bihrle, R. S. Foster, M. H. Phillips, J. Syrus, A. V. Zaitsev, and C. W. Hennige, " Noninvasive surgery of prostate tissue by high-intensity focused ultrasound., " IEEE Trans. Ultrason. Ferroelectr. Freq. Control 43 (6), 1099-1110 (1996).
7. J. E. Kennedy, G. R. ter Haar, and D. Cranston, " High intensity focused ultrasound: Surgery of the future?, " Br. J. Audiol. 76, 590-599 (2003).
8. G. Ter Haar, " Ultrasound focal beam surgery., " Ultrasound Med. Biol. 21, 1089-1100 (1995).
9. C. J. Diederich and K. Hynynen, " Ultrasound technology for hyperthermia., " Ultrasound Med. Biol. 25, 871-887 (1999).
10. N. R. Miller, J. C. Bamber, and G. R. ter Haar, " Imaging of temperature-induced echo strain: Preliminary in vitro study to assess feasibility for guiding focused ultrasound surgery., " Ultrasound Med. Biol. 30 (3), 345-356 (2004).
11. R. Souchon, G. Bouchoux, E. Maciejko, C. Lafon, D. Cathignol, M. Bertrand, and J. Y. Chapelon, " Monitoring the formation of thermal lesions with heat-induced echo-strain imaging: A feasibility study., " Ultrasound Med. Biol. 31.2, 251-259 (2005).
12. N. R. Miller, J. C. Bamber, and P. M. Meaney, " Fundamental limitations of noninvasive temperature imaging by means of ultrasound echo strain estimation., " Ultrasound Med. Biol. 28 (10), 1319-1333 (2002).
13. K. A. Wear, R. F. Wagner, M. F. Insana, and T. J. Hall, " Application of autoregressive spectral analysis to cepstral estimation of mean scatterer spacing., " IEEE Trans. Ultrason. Ferroelectr. Freq. Control 40 (1), 50-58 (1993).
14. N. T. Sanghvi, R. S. Foster, F. J. Fry, R. Bihrle, C. Hennige, and L. V. Hennige, " Ultrasound intracavity system for imaging, therapy planning and treatment of focal disease., " Proceedings IEEE Ultrasonics Symposium 1992, 2, 1249-1253 (October 1992).
15. R. Seip, P. VanBaren, and E. S. Ebbini, " Dynamic focusing in ultrasound hyperthermia treatments using implantable hydrophone arrays., " IEEE Trans. Ultrason. Ferroelectr. Freq. Control 41 (5), 706-713 (1994).
16. R. Seip and E. S. Ebbini, " Noninvasive estimation of tissue temperature response to heating fields using diagnostic ultrasound., " IEEE Trans. Biomed. Eng. 42 (8), 828-839 (1995).
17. A. N. Amini, E. S. Ebbini, and T. T. Georgiou, " Noninvasive estimation of tissue temperature via high-resolution spectral analysis techniques., " IEEE Trans. Biomed. Eng. 52 (2), 221-228 (2005).
18. T. D. Mast, " Empirical relationships between acoustic parameters in human soft tissues., " ARLO 1.2, 37-42 (2000) and references herein.
19. J.-W. Jeong, T.-S. Kim, D. C. Shin, S. Do, M. Singh, and V. Z. Marmarelis, " Soft tissue differentiation using multiband signatures of high resolution ultrasonic transmission tomography., " IEEE Trans. Med. Imaging 24 (3), 399-408 (2005).
20. Y. Nawata, and K. Kaneko, " Measurement of temperature distribution in phantom body by an ultrasonic CT method., " Proceedings of the ASME/JSME Joint Thermal Engineering Conference 3, 469-474 (1999).
21. D. Kourtiche, M. Nadim, G. Kontaxakis, C. Marchal, and G. Prieur, " Temperature measurements using US tomography: Theoretical aspects., " Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society Proc. IEEE Eng. Med. Biol. Soc. 13 (1), 325-326 (1991).
22. K. W. A. van Dongen and W. M. D. Wright, " A forward model and conjugate gradient inversion technique for low-frequency ultrasonic imaging., " J. Acoust. Soc. Am. 0001-4966 10.1121/1.2336752 120, 2086 (2006); K. W. A. van Dongen and W. M. D. Wright, " A forward model and conjugate gradient inversion technique for low-frequency ultrasonic imaging., " J. Acoust. Soc. Am. 120 (4), 2086-2095 (2006).
23. K. W. A. van Dongen and W. M. D. Wright, " A forward model and conjugate gradient inversion technique for low-frequency ultrasonic imaging., " J. Acoust. Soc. Am. 0001-4966 10.1121/1.2336752 120, 2086 (2006); K. W. A. van Dongen and W. M. D. Wright, " A forward model and conjugate gradient inversion technique for low-frequency ultrasonic imaging., " J. Acoust. Soc. Am. 120 (4), 2086-2095 (2006).
24. A. T. de Hoop, Handbook of Radiation and Scattering of Waves: Acoustic Waves in Fluids, Elastic Waves in Solids, Electromagnetic Waves (Academic, London, 1995).
25. P. M. van den Berg, " Iterative schames based on minimization of a uniform error criterion., " PIERS 5, Application of Conjugate Gradient Method to Electromagnetics and Signal Analysis, edited by, T. K. Sarkar, (Elsevier, New York, 1991), pp. 27-66.
26. R. E. Kleinman and P. M. van den Berg, " Iterative methods for solving integral equations., " PIERS 5, Application of Conjugate Gradient Method to Electromagnetics and Signal Analysis, edited by, T. K. Sarkar, (Elsevier, New York, 1991), pp. 67-102.
27. R. E. Kleinman and P. M. van den Berg, " A modified gradient method for two-dimensional problems in tomography., " J. Comput. Appl. Math. 42, 17-35 (1992).
28. P. M. van den Berg and R. E. Kleinman, " A total variation enhanced modified gradient algorithm for profile reconstruction., " Inverse Probl. 11, L5-L10 (1995).
29. R. Acar and C. R. Vogel, " Analysis of bounded variation penalty methods for ill-posed problems., " Inverse Probl. 10, 1217-1229 (1994).
30. S. Osher and L. Rudin, " Feature-oriented image enhancement using shock filters., " SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 27, 919-940 (1990).
31. L. Rudin, S. Oshet, and C. Fatemi, " Nonlinear total variation based noise removal algorithm., " Physica D 60D, 259-268 (1992).
32. T. M. Habashy, M. L. Oristaglio, and A. T. de Hoop, " Simultaneous nonlinear reconstruction of two-dimensional permittivity and conductivity., " Radio Sci. 29, 1101-1118 (1994).
33. R. E. Kleinman and P. M. van den Berg, " An extended range modified gradient technique for profile inversion., " Radio Sci. 28, 877-884 (1993).
34. R. E. Kleinman and P. M. van den Berg, " Two-dimensional location and shape reconstruction., " Radio Sci. 29, 1157-1169 (1994).
35. P. M. van den Berg and R. E. Kleinman, " A contrast source inversion method., " Inverse Probl. 13, 1607-1620 (1997).
36. P. M. van den Berg and A. Abubakar, " Inverse scattering algorithms based on contrast source integral representations., " Inverse Probl. Eng. 10, 559-576 (2002).
37. P. M. van den Berg and A. Abubakar, " Contrast Source Inversion Method: State of Art., " in PIER 34, Electromagnetic Waves, edited by, J. A. Kong, (EMW, Cambridge, MA, 2001), pp. 189-218.
38. G. Pelekanos, A. Abubakar, and P. M. van den Berg, " Contrast source inversion methods in elastodynamics., " J. Acoust. Soc. Am. 114 (5), 2825-2834 (2003).
39. A. Abubakar, T. M. Habashy, P. M. van den Berg, and D. Gisolf, " The diagonalized contrast source approach: An inversion method beyond the Born approximation., " Inverse Probl. 21.2, 685-702 (2005).
40. A. Abubakar and P. M. van den Berg, " Iterative forward and inverse algorithms based on domain integral equations for three-dimensional electric and magnetic objects., " J. Comput. Phys. 195, 236-262 (2004).
41. P. M. van den Berg and A. Abubakar, " Contrast source inversion of 3D objects with electric and magnetic contrasts., " 2004 URSI/EMTS Proceedings of the International Symposium on Electromagnetic Theory, 700-702 (2004).
42. K. W. A. van Dongen and W., M. D. Wright, " A contrast source inversion scheme for imaging acoustic contrast., " Proceedings IEE Irish Signals and Systems Conference, Dublin, Ireland, 1-2 September, 278-283 (2005).
43. A. J. Devaney, " Variable density acoustic tomographyy., " J. Acoust. Soc. Am. 78 (1), 120-130 (1985).
44. M. Moghaddam and W. C. Chew, " Simultaneous inversion of compressibility and density in the acoustic inverse problem., " Inverse Probl. 9, 715-730 (1993).
45. S. Mensah and J. P. Lefebvre, " Enhanced compressibility tomography., " IEEE Trans. Ultrason. Ferroelectr. Freq. Control 44 (6), 1245-1252 (1997).
46. K. Fisher, S. Lehman, and D. Chambers, " Development of a multiview time-domain imaging algorithm with a Fermat correction., " J. Acoust. Soc. Am. 118 (5), 3122-3128 (2005).
47. C. Lu, W. C. Chew, and G. P. Otto, " Image reconstruction with acoustic measurement using distorted Born iterative method., " Ultrason. Imaging 18, 140-156 (1996).
48. N. Bleistein and J. K. Cohen, " Nonuniqueness in the inverse source problem in acoustics and electromagnetics., " J. Math. Phys. 18, 194-201 (1997).
49. J. T. Fokkema and P. M. van den Berg, Seismic Applications of Acoustic Reciprocity (Elsevier Science, Amsterdam, 1993).
50. P. M. van den Berg, A. Abubakar, and J. T. Fokkema, " Multiplicative regularization for contrast profile inversion., " Radio Sci. 38 (2), VIC 23-1-10 (2003).
51. K. W. A. van Dongen, C. Brennan, and W. M. D. Wright, " A reduced forward operator for acoustic scattering problems., " Proceedings IEE Irish Signals and Systems Conference, Dublin, Ireland, 1-2 September 2005, pp. 294-299 (2005).