OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 27, Iss. 5 — May. 1, 2010
  • pp: 1214–1218

Spherical shell structure of distribution of images reconstructed by diffractive imaging

Hiroyuki Shioya, Yosuke Maehara, and Kazutoshi Gohara  »View Author Affiliations


JOSA A, Vol. 27, Issue 5, pp. 1214-1218 (2010)
http://dx.doi.org/10.1364/JOSAA.27.001214


View Full Text Article

Enhanced HTML    Acrobat PDF (505 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Image reconstruction from Fourier intensity through phase retrieval was investigated when the intensity was contaminated with Poisson noise. Although different initial conditions and/or the instability of the iterative phase retrieval process led to different reconstructed images, we found that the distribution of the resulting images in both the object and Fourier spaces formed spherical shell structures. Averaging of the images over the distribution corresponds to the position of the image at the sphere center.

© 2010 Optical Society of America

OCIS Codes
(100.5070) Image processing : Phase retrieval
(100.3008) Image processing : Image recognition, algorithms and filters

ToC Category:
Image Processing

History
Original Manuscript: January 14, 2010
Revised Manuscript: February 26, 2010
Manuscript Accepted: March 5, 2010
Published: April 30, 2010

Citation
Hiroyuki Shioya, Yosuke Maehara, and Kazutoshi Gohara, "Spherical shell structure of distribution of images reconstructed by diffractive imaging," J. Opt. Soc. Am. A 27, 1214-1218 (2010)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-27-5-1214


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. D. Sayre, “Some implications of a theorem due to Shannon,” Acta Crystallogr. 5, 843 (1952). [CrossRef]
  2. R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik (Stuttgart) 35, 237–246 (1972).
  3. J. R. Fienup, “Phase retrieval algorithms: a comparison,” Appl. Opt. 21, 2758–2769 (1982). [CrossRef] [PubMed]
  4. J. Miao, D. Sayre, and H. N. Chapman, “Phase retrieval from the magnitude of the Fourier transforms of nonperiodic objects,” J. Opt. Soc. Am. A 15, 1662–1669 (1998). [CrossRef]
  5. J. Miao, P. Charalambous, J. Kirz, and D. Sayre, “Extending the methodology of X-ray crystallography to allow imaging of micrometer-sized non-crystalline specimens,” Nature 400, 342–344 (1999). [CrossRef]
  6. J. C. H. Spence, in Science of Microscopy, P.W.Hawkes and J.C. H.Spence, eds. (Springer, 2007).
  7. J. Miao, T. Ishikawa, B. Johnson, E. H. Anderson, B. Lai, and K. O. Hodgson, “High resolution 3D x-ray diffraction microscopy,” Phys. Rev. Lett. 89, 088303 (2002). [CrossRef] [PubMed]
  8. J. Miao, T. Ishikawa, E. H. Anderson, and K. O. Hodgson, “Phase retrieval of diffraction patterns from noncrystalline samples using the oversampling method,” Phys. Rev. B 67, 174104 (2003). [CrossRef]
  9. Y. Nishino, J. Miao, and T. Ishikawa, “Image reconstruction of nanostructured nonperiodic objects only from oversampled hard x-ray diffraction intensities,” Phys. Rev. B 68, 220101(R) (2003). [CrossRef]
  10. H. N. Chapman, A. Barty, M. J. Bogan, S. Boutet, M. Frank, S. P. Hau-Riege, S. Marchesini, B. W. Woods, S. Bajt, W. H. Benner, R. A. London, E. Plönjes, M. Kuhlmann, R. Treusch, S. Düsterer, T. Tschentscher, J. R. Schneider, E. Spiller, T. Möller, C. Bostedt, M. Hoener, D. A. Shapiro, K. O. Hodgson, D. van der Spoel, F. Burmeister, M. Bergh, C. Caleman, G. Huldt, M. M. Seibert, F. R. N. C. Maia, R. W. Lee, A. Szöke, N. Timneanu, and J. Hajdu, “Femtosecond diffractive imaging with a soft-x-ray free-electron laser,” Nat. Phys. 2, 839–843 (2006). [CrossRef]
  11. J. M. Zuo, I. Vartanyants, M. Gao, R. Zhang, and L. A. Nagahara, “Atomic resolution imaging of a carbon nanotube from diffraction intensities,” Science 300, 1419–1421 (2003). [CrossRef] [PubMed]
  12. U. Weierstall, Q. Chen, J. C. H. Spence, M. R. Howells, M. Isaacson, and R. R. Panepucci, “Image reconstruction from electron and X-ray diffraction patterns using iterative algorithms: experiment and simulation,” Ultramicroscopy 90, 171–195 (2002). [CrossRef] [PubMed]
  13. O. Kamimura, K. Kawahara, T. Doi, T. Dobashi, T. Abe, and K. Gohara, “Diffraction microscopy using 20 kV electron beam for multiwall carbon nanotubes,” Appl. Phys. Lett. 92, 024106 (2008). [CrossRef]
  14. S. Morishita, J. Yamasaki, K. Nakamura, T. Kato, and N. Tanaka, “Diffractive imaging of the dumbbell structure in silicon by spherical-aberration-corrected electron diffraction,” Appl. Phys. Lett. 93, 183103 (2008). [CrossRef]
  15. R. L. Sandberg, A. Paul, D. A. Raymondson, S. Hädrich, D. M. Gaudiosi, J. Holtsnider, R. I. Tobey, O. Cohen, M. M. Murnane, H. C. Kapteyn, C. Song, J. Miao, Y. Liu, and F. Salmassi, “Lensless diffractive imaging using tabletop coherent high-harmonic soft-x-ray beams,” Phys. Rev. Lett. 99, 098103 (2007). [CrossRef] [PubMed]
  16. G. Oszlányi and A. Suto, “Ab initio structure solution by charge flipping,” Acta Crystallogr. A60, 134–141 (2004). [CrossRef]
  17. K. Choi and A. Lanterman, “Phase retrieval from noisy data based on minimization of penalized I-divergence,” J. Opt. Soc. Am. A 24, 34–49 (2007). [CrossRef]
  18. J. Miao, Y. Nishino, Y. Kohmura, B. Johnson, C. Song, S. H. Risbud, and T. Ishikawa, “Quantitative image reconstruction of GaN quantum dots from oversampled diffraction intensities alone,” Phys. Rev. Lett. 95, 085503 (2005). [CrossRef] [PubMed]
  19. H. N. Chapman, A. Barty, S. Marchesini, A. Noy, C. Cui, M. R. Howells, R. Rosen, H. He, J. C. H. Spence, U. Weierstall, T. Beetz, C. Jacobson, and D. Shapiro, “High-resolution ab initio three-dimensional x-ray diffraction microscopy,” J. Opt. Soc. Am. A 23, 1179–1200 (2006). [CrossRef]
  20. P. Thibault, V. Elser, C. Jacobsen, D. Shapiro, and D. Sayre, “Reconstruction of a yeast cell from X-ray diffraction data,” Acta Crystallogr. A62, 248–261 (2006). [CrossRef]
  21. V. Elser, “Phase retrieval by iterated projections,” J. Opt. Soc. Am. A 20, 40–55 (2003). [CrossRef]
  22. O. Kamimura, T. Dobashi, K. Kawahara, T. Abe, and K. Gohara, “10-kV diffractive imaging using newly developed electron diffraction microscope,” Ultramicroscopy 110, 130–133 (2010). [CrossRef]
  23. K. Kawahara, K. Gohara, Y. Maehara, T. Dobashi, and O. Kamimura, “Beam-divergence deconvolution for diffractive imaging,” Phys. Rev. B 81, 018404 (2010). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

Figures

Fig. 1 Fig. 2 Fig. 3
 
Fig. 4
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited