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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 18, Iss. 7 — Jul. 1, 2001
  • pp: 1460–1464

Diffraction tomography reconstruction algorithms for quantitative imaging of phase objects

Jing Cheng and Shensheng Han  »View Author Affiliations

JOSA A, Vol. 18, Issue 7, pp. 1460-1464 (2001)

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A new reconstruction algorithm for phase-object imaging is proposed that is based on the principle of diffraction tomography and utilizes the Fourier transformation property of a finite-size phase object. From the measured scattered intensity, the imaginary part of the Fourier transform of the object can be extracted, and the three-dimensional structure of the object can be reconstructed. Numerical simulations show that the algorithm also can be used for a weak absorption object if the phase shift is much larger than the absorption.

© 2001 Optical Society of America

OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(100.3010) Image processing : Image reconstruction techniques
(100.5070) Image processing : Phase retrieval
(110.6960) Imaging systems : Tomography

Original Manuscript: May 30, 2000
Revised Manuscript: January 1, 2001
Manuscript Accepted: January 1, 2001
Published: July 1, 2001

Jing Cheng and Shensheng Han, "Diffraction tomography reconstruction algorithms for quantitative imaging of phase objects," J. Opt. Soc. Am. A 18, 1460-1464 (2001)

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  1. T. J. Davis, D. Gao, T. E. Gureyev, A. W. Stevenson, S. W. Wilkins, “Phase-contrast imaging of weakly absorbing materials using hard X-rays,” Nature 373, 595–598 (1995). [CrossRef]
  2. S. W. Wilkins, T. E. Gureyev, D. Gao, A. Pogany, A. W. Stevenson, “Phase-contrast imaging using polychromatic hard X-rays,” Nature 384, 335–338 (1996). [CrossRef]
  3. A. Pogany, D. Gao, S. W. Wilkins, “Contrast and resolution in imaging with a microfocus X-ray source,” Rev. Sci. Instrum. 68, 2774–2782 (1997). [CrossRef]
  4. C. Raven, A. Snigirev, I. Snigireva, P. Spanne, A. Souvorov, V. Kohn, “Phase contrast microimaging with coherent high-energy synchrotron x rays,” Appl. Phys. Lett. 69, 1826–1828 (1996). [CrossRef]
  5. K. A. Nugent, T. E. Gureyev, D. F. Cookson, D. Paganin, Z. Barnea, “Quantitative phase imaging using hard X-rays,” Phys. Rev. Lett. 77, 2961–2964 (1996). [CrossRef] [PubMed]
  6. T. E. Gureyev, S. W. Wilkins, “On X-ray phase retrieval from phychromatic images,” Opt. Commun. 147, 229–232 (1998). [CrossRef]
  7. J. Cheng, S. S. Han, “Phase imaging with partially coherent x rays,” Opt. Lett. 24, 175–177 (1999). [CrossRef]
  8. A. Barty, K. A. Nugent, D. Paganin, A. Roberts, “Quantitative optical phase microscopy,” Opt. Lett. 23, 817–819 (1998). [CrossRef]
  9. N. Jayshree, G. Keshaa Datta, R. M. Vasu, “Optical tomographic microscope for quantitative imaging of phase objects,” Appl. Opt. 39, 277–283 (2000). [CrossRef]
  10. A. Barty, K. A. Nugent, D. Paganin, “Quantitative phase tomography,” Opt. Commun. 175, 329–336 (2000). [CrossRef]
  11. E. Wolf, “Principles and development of diffraction tomography,” in Trends in Optics, A. C. Consortini, ed. (Academic, San Diego, Calif., 1996), pp. 83–110.
  12. A. Devaney, “A filtered backpropogation algorithm for diffraction tomography,” Ultrason. Imaging 4, 336–350 (1982). [CrossRef] [PubMed]
  13. M. Slaney, A. Kak, L. Larsen, “Limitation of imaging with first-order diffraction tomography,” IEEE Trans. Microwave Theory Tech. MTT-32, 860–874 (1984). [CrossRef]
  14. A. Devaney, “Structure determination from intensity measurements in scattering experiments,” Phys. Rev. Lett. 62, 2385–2388 (1989). [CrossRef] [PubMed]
  15. X. Pan, “Unified reconstruction theory for diffraction tomography, with consideration of noise control,” J. Opt. Soc. Am. A 15, 2312–2326 (1998). [CrossRef]
  16. B. Chen, J. Stamnes, “Validity of diffraction tomography based on the first Born and the first Rytov approximations,” Appl. Opt. 37, 2996–3006 (1998). [CrossRef]
  17. M. Anastasio, X. Pan, “Computationally efficient and statistically robust image reconstruction in three-dimensional diffraction tomography,” J. Opt. Soc. Am. A 17, 391–400 (2000). [CrossRef]
  18. K. Castleman, Digital Image Processing (Prentice-Hall, Englewood Cliffs, N.J., 1996).
  19. M. Kang, A. Katsaggelos, “General choice of the regularization functional in regularized image restoration,” IEEE Trans. Image Process. 4, 594–602 (1995). [CrossRef] [PubMed]

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