Investigation of the noise properties of a new class of reconstruction methods in diffraction tomography

International Journal of Imaging Systems and Technology

Volumn 10, Issue 6, 1999, Pages 437-445

  Anastasio, Mark A ^a   Pan, Xiaochuan ^a  

^a UNIVERSITY OF CHICAGO MEDICAL CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL GEOMETRY; COMPUTER SIMULATION; COMPUTERIZED TOMOGRAPHY; CONFORMAL MAPPING; ESTIMATION; FOURIER TRANSFORMS; FUNCTIONS; INTEGRAL EQUATIONS; REFRACTIVE INDEX; SIGNAL TO NOISE RATIO;

DIFFRACTION TOMOGRAPHY; RADON TRANSFORM; SCATTERING OBJECT FUNCTION;

IMAGE RECONSTRUCTION;

EID: 0033307388     PISSN: 08999457     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1098-1098(1999)10:6<437::AID-IMA5>3.0.CO;2-0     Document Type: Article

References (29)

1. M. Anastasio, M. Kupinski, and X. Pan, Noise properties of reconstructed images in ultrasound diffraction tomography, IEEE Trans Nuclear Sci 45 (1998), 2216-2223.
2. M.P. Andre, P.J. Martin, G.P. Otto, L.K. Olson, T.K. Barrett, B.A. Apivey, and D.A. Palmer, A new consideration of diffraction computed tomography for breast imaging, Acoustical Imaging 21 (1995), 379-390.
3. H.H. Barrett, The Radon transform and its applications. Prog Optics 21 (1984), 219-286.
4. L. Chernov, Wave propagation in random media, McGraw-Hill, New York.
5. W. Chew and Y. Wang, Reconstruction of two-dimensional permitivity distribution using the distorted born iterative method, IEEE Trans Med Imaging 9 (1990), 218-225.
6. A. Devaney, A filtered backpropagation algorithm for diffraction tomography, Ultrasonic Imaging 4 (1982), 336-350.
7. D.G. Fischer and E. Wolf, Theory of diffraction tomography for quasi-homogeneous random objects. Optics Commun 133 (1997), 17-21.
8. L. Gelius, I. Johansen, N. Sponheim, and J. Stamnes, Diffraction tomography applications in medicine and seismics, NATO advanced workshop on inverse problems in scattering and imaging, North Falmouth, MA, 1991.
9. J. Goodman, A random walk through the field of speckle, Optical Eng 25 (1986), 610-612.
10. P. Grassin, B. Duchene, and W. Tabbara, "Diffraction tomography: some applications and extension to 3-d ultrasound imaging," Mathematical methods in tomography, Springer-Verlag, Heidelberg, 1991, 98-105.
11. G. Heidbreder, Multiple scattering and the method of Rytov, J Optical Soc Am 57 (1967), 1477-1479.
12. A. Ishimaru, Wave propagation and scattering in random media, Academic, New York, 1978.
13. S. Johnson and M. Tracy, Inverse scattering solutions by a sine basis, multiple source, moment method - part i: theory, Ultrasonic Imaging 5 (1983a), 361-375.
14. S. Johnson and M. Tracy, Inverse scattering solutions by a sine basis, multiple source, moment method - part ii: numerical evaluations, Ultrasonic Imaging 5 (1983b), 376-392.
15. M. Kaveh, M. Soumekh, and J. Greenleaf, Signal processing for diffraction tomography, IEEE Trans Sonics Ultrasonics 31 (1984), 230-239.
16. G. Kino, Acoustic imaging for nondestructive evaluation, Proc IEEE 67 (1979), 510-525.
17. K. Langenberg, Digital ultrasonic imaging, Proc 11th World Conf Nondestructive Testing, 1985, Las Vegas, NV.
18. C. Lu, W. Chew, and G. Otto, Image reconstruction with acoustic measurement using distorted born iterative method, Ultrasonic Imaging 18 (1996), 140-156.
19. C.E. Metz and X. Pan, A unified analysis of exact methods of inverting the 2-d exponential radon transform, with implications for noise control in spect, IEEE Trans Med Imaging 14 (1995), 643-658.
20. P.M. Morse and K.U. Ingard, Theoretical acoustics, Princeton University Press, Princeton, NJ, 1986.
21. R. Mueller, M. Kaveh, and G. Wade, Reconstructive tomography and applications to ultrasonics, Proc IEEE 67 (1979), 567-587.
22. S. Pan and A. Kak, A computational study of reconstruction algorithms for diffraction tomography: interpolation versus filtered backpropagation, IEEE Trans Acoustics Speech Signal Processing 31 (1983), 1262-1275.
23. X. Pan, Analysis of 3d spect image reconstruction and its extension to ultrasound diffraction tomography, IEEE Trans Nuclear Sci 45 (1998a), 1308-1316.
24. X. Pan, A unified reconstruction theory for diffraction tomography with considerations of noise control, J Optical Soc Am 15 (1998b), 2312-2326.
25. E. Robinson, Image reconstruction in exploration geophysics, IEEE Trans Sonics Ultrasonics 31 (1984), 259-270.
26. D. Rouseff and R. Porter, Diffraction tomography and the stochastic inverse scattering problem, J Acoustical Soc Am 89 (1991), 1599-1605.
27. N. Takai, H. Kadono, and T. Asakura, Statistical properties of the speckle phase in image and diffraction fields, Optical Eng 25 (1986), 627-635.
28. G. Tsihrintzis and A. Devaney, Stochastic diffraction tomography: theory and computer simulation, Signal Processing 93 (1993a), 49-64.
29. G.A. Tsihrintzis and A.J. Devaney, Application of a maximum likelihood estimator in an experimental study in ultrasonic diffraction tomography, IEEE Trans Med Imaging 12 (1993b), 545-554.