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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 4 — Feb. 13, 2012
  • pp: 3375–3387

Phase retrieval from single biomolecule diffraction pattern

Shiro Ikeda and Hidetoshi Kono  »View Author Affiliations

Optics Express, Vol. 20, Issue 4, pp. 3375-3387 (2012)

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In this paper, we propose the SPR (sparse phase retrieval) method, which is a new phase retrieval method for coherent x-ray diffraction imaging (CXDI). Conventional phase retrieval methods effectively solve the problem for high signal-to-noise ratio measurements, but would not be sufficient for single biomolecular imaging which is expected to be realized with femto-second x-ray free electron laser pulses. The SPR method is based on the Bayesian statistics. It does not need to set the object boundary constraint that is required by the commonly used hybrid input-output (HIO) method, instead a prior distribution is defined with an exponential distribution and used for the estimation. Simulation results demonstrate that the proposed method reconstructs the electron density under a noisy condition even some central pixels are masked.

© 2011 OSA

OCIS Codes
(100.5070) Image processing : Phase retrieval
(290.5840) Scattering : Scattering, molecules
(340.7440) X-ray optics : X-ray imaging

ToC Category:
Image Processing

Original Manuscript: September 7, 2011
Revised Manuscript: November 16, 2011
Manuscript Accepted: November 19, 2011
Published: January 30, 2012

Virtual Issues
Vol. 7, Iss. 4 Virtual Journal for Biomedical Optics

Shiro Ikeda and Hidetoshi Kono, "Phase retrieval from single biomolecule diffraction pattern," Opt. Express 20, 3375-3387 (2012)

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