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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 19, Iss. 11 — May. 23, 2011
  • pp: 10359–10376

Phase retrieval in X-ray phase-contrast imaging suitable for tomography

Anna Burvall, Ulf Lundström, Per A. C. Takman, Daniel H. Larsson, and Hans M. Hertz  »View Author Affiliations


Optics Express, Vol. 19, Issue 11, pp. 10359-10376 (2011)
http://dx.doi.org/10.1364/OE.19.010359


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Abstract

In-line phase-contrast X-ray imaging provides images where both absorption and refraction contribute. For quantitative analysis of these images, the phase needs to be retrieved numerically. There are many phase-retrieval methods available. Those suitable for phase-contrast tomography, i.e., non-iterative phase-retrieval methods that use only one image at each projection angle, all follow the same pattern though derived in different ways. We outline this pattern and use it to compare the methods to each other, considering only phase-retrieval performance and not the additional effects of tomographic reconstruction. We also outline derivations, approximations and assumptions, and show which methods are similar or identical and how they relate to each other. A simple scheme for choosing reconstruction method is presented, and numerical phase-retrieval performed for all methods.

© 2011 OSA

OCIS Codes
(000.1430) General : Biology and medicine
(100.3190) Image processing : Inverse problems
(340.7440) X-ray optics : X-ray imaging

ToC Category:
X-ray Optics

History
Original Manuscript: February 22, 2011
Revised Manuscript: April 28, 2011
Manuscript Accepted: May 4, 2011
Published: May 11, 2011

Virtual Issues
Vol. 6, Iss. 6 Virtual Journal for Biomedical Optics

Citation
Anna Burvall, Ulf Lundström, Per A. C. Takman, Daniel H. Larsson, and Hans M. Hertz, "Phase retrieval in X-ray phase-contrast imaging suitable for tomography," Opt. Express 19, 10359-10376 (2011)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-19-11-10359


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