A filtered backpropagation algorithm for diffraction tomography

Ultrasonic Imaging

Volumn 4, Issue 4, 1982, Pages 336-350

  Devaney, A J ^a  

^a SCHLUMBERGER DOLL RESEARCH   (United States)

Author keywords

Backprojection; image reconstruction; inverse scattering

Indexed keywords

ALGORITHM; COMPUTER ANALYSIS; COMPUTER ASSISTED TOMOGRAPHY; IMAGE RECONSTRUCTION; METHODOLOGY; NONHUMAN; THEORETICAL STUDY;

COMPUTERS; MATHEMATICS; TOMOGRAPHY; ULTRASONOGRAPHY;

EID: 0020353765     PISSN: 01617346     EISSN: None     Source Type: Journal    
DOI: 10.1177/016173468200400404     Document Type: Article

References (27)

1. Mersereau R. M. Oppenheim A. V. Digital reconstruction of multidimensional signals from their projections, Proc. IEEE 62, 210–229 (1974).
2. Kak A. C. Computerized tomography with x-ray emission and ultrasound sources, Proc. IEEE 67, 1245–1272 (1979).
3. Swindell W. S. Barrett H. H. Computerized tomography: taking sectional x-rays, Physics Today 30, 32–41 (1977).
4. Mueller R. K. Kaveh M. Wade G. Reconstructive tomography and applications to ultrasonics, Proc. IEEE 67, 567–587 (1979).
5. Devaney A. J. A New Approach to Emission and Transmission CT, in 1980 IEEE Ultrasonics Symposium Proceedings, pp. 979–983 (IEEE Cat. No. 80CH 1602–2SU).
6. Devaney A. J. Inverse scattering theory within the Rytov approximation, Opt. Lett. 6, 374–376 (1981).
7. Lipson H. Cochran W. The Determination of Crystal Structures (Cornell University Press, Ithaca, NY, 1966).
8. Vainshtein B. K. Diffraction of X-rays by Chain Molecules (John Wiley, NY, 1974).
9. Wolf E. Three-dimensional structure determination of semi-transparent objects from holographic data, Opt. Commun. 1, 153–156 (1969).
10. Norton S. J. Linzer M. Ultrasonic reflectivity imaging in three dimensions: exact inverse scattering solutions for plane, cylindrical, and spherical apertures, IEEE Trans. Biomed. Eng. BME-28, 202–220 (1981).
11. Carter W. H. Computational reconstruction of scattering objects from holograms, J. Opt. Soc. Am. 60, 306–314 (1970).
12. Mueller R. K. Kaveh M. Inverson R. D. A New Approach to Acoustic Tomography Using Diffraction Techniques, in Acoustical Imaging Vol.8, Metherell A. F., ed., pp. 615–628 (Plenum Press, New York, 1980).
13. Fercher A. F. Bartell H. Becker H. Wiltschko E. Image formation by inversion of scattered field data: experiments and computational simulation, Applied Optics 18, 2427–2439 (1979).
14. Devaney A. J. Inverse Source and Scattering Problems in Optics, in Optics in Four Dimensions, Conference Proceedings 65, Machado M. A., Narducci L. M., eds., pp. 613–626 (Amer. Inst. Phys., New York, 1981).
15. Stark H. Paul I. An investigation of computerized tomography by direct Fourier inversion and optimum interpolation, IEEE Trans. Biomed. Eng. BME-28, 496–505 (1981).
16. Greenleaf J. F. Bah R. C. Clinical imaging with transmissive ultrasonic computerized tomography, IEEE Trans. Biomed. Eng. BME-28, 177–185 (1981).
17. Tai Chen-To Dyadic Green's Functions in Electromagnetic Theory, Ch. 3 (In text Educ. Pub., Scranton, P.A., 1971).
18. Tatarski V. T. Wave Propagation in a Turbulent Medium, Ch. 7 (McGraw-Hill, New York, 1961).
19. Chernov L. A. Wave Propagation in a Random Medium, Ch. 5 (Dover Publications, Inc., New York, 1967).
20. Morse P. M. Feshbach H. Methods of Theoretical Physics, p. 823 (McGraw-Hill, New York, 1953).
21. Devaney A. J. Liff H. J. Apsell S. Spectral representations for free space propagation of complex phase perturbations of optical fields, Opt. Commun. 15, 1–5 (1975).
22. Shewell J. R. Wolf E. Inverse diffraction and a new reciprocity theorem, J. Opt. Soc. Am. 58, 1596–1603 (1968).
23. Sherman G. C. Diffracted wave fields expressible by plane-wave expansions containing only homogeneous waves, J. Opt. Soc. Am. 59, 697–711 (1969).
24. Mueller R. K. Kaveh M. Ultrasonic Diffraction Tomography, Internal Rep. (Dept. Elec. Eng., Univ. Minnesota, MN).
25. Gubernatis J. E. Domany E. Krumhansl J. A. Huberman M. The Born approximation in the theory of scattering of elastic waves by flaws, J. Appl. Phys. 48, 2812–2819 (1977).
26. Devaney A. J. Wolf E. A new perturbation expansion for inverse scattering from three dimensional finite-range potentials, Phys. Lett. 89A, 269–272 (1982).
27. Devaney A. J. A computer simulation study of diffraction tomography, IEEE Trans. Biomed. Eng. (submitted).