OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 49, Iss. 21 — Jul. 20, 2010
  • pp: 4100–4107

Noniterative approach to the missing data problem in coherent diffraction imaging by phase retrieval

Nobuharu Nakajima  »View Author Affiliations


Applied Optics, Vol. 49, Issue 21, pp. 4100-4107 (2010)
http://dx.doi.org/10.1364/AO.49.004100


View Full Text Article

Enhanced HTML    Acrobat PDF (509 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

When a very intense beam is used for illuminating an object in coherent x-ray diffraction imaging, the intensities at the center of the diffraction pattern for the object are cut off by a beam stop that is utilized to block the intense beam. Until now, only iterative phase-retrieval methods have been applied to object reconstruction from a single diffraction pattern with a deficiency of central data due to a beam stop. As an alternative method, I present a noniterative solution in which an interpolation method based on the sampling theorem for the missing data is used for object reconstruction with our previously proposed phase-retrieval method using an aperture-array filter. Computer simulations demonstrate the reconstruction of a complex-amplitude object from a single diffraction pattern with a missing data area, which is generally difficult to treat with the iterative methods because a nonnegativity constraint cannot be used for such an object.

© 2010 Optical Society of America

OCIS Codes
(100.0100) Image processing : Image processing
(100.5070) Image processing : Phase retrieval

ToC Category:
Image Processing

History
Original Manuscript: April 28, 2010
Revised Manuscript: June 24, 2010
Manuscript Accepted: June 24, 2010
Published: July 19, 2010

Citation
Nobuharu Nakajima, "Noniterative approach to the missing data problem in coherent diffraction imaging by phase retrieval," Appl. Opt. 49, 4100-4107 (2010)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-49-21-4100

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited