Acoustical tomography based on the second-order born transform perturbation approximation

IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control

Volumn 43, Issue 2, 1996, Pages 296-302

  Lu, Zhen Qiu ^a   Zhang, Yan Yun ^a  

^a NANKAI UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTICAL TOMOGRAPHY; RECONSTRUCTION ALGORITHMS; SECOND ORDER BORN APPROXIMATION; WAVE NUMBER;

ACOUSTIC WAVE DIFFRACTION; ACOUSTIC WAVE SCATTERING; ALGORITHMS; APPROXIMATION THEORY; DIFFERENTIAL EQUATIONS; INTEGRAL EQUATIONS; INVERSE PROBLEMS; MATHEMATICAL OPERATORS; MATHEMATICAL TRANSFORMATIONS; NUMERICAL METHODS; PERTURBATION TECHNIQUES; SPECTRUM ANALYSIS;

ACOUSTIC IMAGING;

EID: 0030105217     PISSN: 08853010     EISSN: None     Source Type: Journal    
DOI: 10.1109/58.485956     Document Type: Article

References (12)

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3. M. Kaveh, M. Soumekh, Z.-Q. Lu, R. K. Mueller, and J. F. Greenleaf, "Further results on diffraction tomography using Rytov's approximation," in Acoustical Imaging, vol. 12, E. A. Ash and K. Hill, Eds. New York: Plenum, 1982.
4. Z.-Q. Lu, M. Kaveh, and R. K. Mueller, "Diffraction tomography using a beam wave: Z-average reconstruction," Ultrason, Imag., vol. 6, pp. 95-102, 1984.
5. Z.-Q. Lu, "Multidimensional structure diffraction tomography for varying object orientation through generalized waves," Inverse Problems, vol. 1. no. 4, pp. 339-356, 1985.
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7. N. Bleistein, J. K. Cohen, and F. G. Hagin, "Two and one-half dimensional Born inversion with an arbitrary reference," Geophys., vol. 52, no. 1, pp. 26-36, 1987.
8. Z.-Q. Lu, "JKM perturbation theory, relaxation perturbation theory, and their applications to inverse scattering: Theory and reconstruction algorithms," IEEE Trans. Ultrason., Ferroelect., Freq. Contr., vol. UFFC33, no. 6, pp. 722-730, 1986.
9. D. J. Vezzetti and S. Ø. Aks, "Reconstruction from scattering data: Analysis and improvements of the inverse Born approximation," Ultrason, Imag., vol. 1, pp. 333-345, 1979.
10. M. Soumekh, "An improvement to the Rytov approximation in diffraction tomography." IEEE Trans. Ultrason., Ferroelect., Freq. Contr., vol. UFFC33, no. 4, pp. 394-401, 1986.
11. I. M. Gel'fand and G. E. Shilov, Generalized Functions, vol. 1. New-York: Academic, 1964.
12. Z.-Q. Lu, X.-Y. Man, Y.-Y. Zhang, and U.-P. Chen, "A comparison of intermediate, Rytov, and Born transformations in acoustic tomography," in Acoustical Imaging, vol. 20, Y. Wei and B. Gu, Eds. New York: Plenum, 1993.