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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 13, Iss. 16 — Aug. 8, 2005
  • pp: 6000–6014

X-Ray cone-beam phase tomography formulas based on phase-attenuation duality

Xizeng Wu and Hong Liu  »View Author Affiliations

Optics Express, Vol. 13, Issue 16, pp. 6000-6014 (2005)

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We present a detailed derivation of the phase-retrieval formula based on the phase-attenuation duality that we recently proposed in previous brief communication. We have incorporated the effects of x-ray source coherence and detector resolution into the phase-retrieval formula as well. Since only a single image is needed for performing the phase retrieval by means of this new approach, we point out the great advantages of this new approach for implementation of phase tomography. We combine our phase-retrieval formula with the Feldkamp-Davis-Kresss (FDK) cone-beam reconstruction algorithm to provide a three-dimensional phase tomography formula for soft tissue objects of relatively small sizes, such as small animals or human breast. For large objects we briefly show how to apply Katsevich’s cone-beam reconstruction formula to the helical phase tomography as well.

© 2005 Optical Society of America

OCIS Codes
(030.1670) Coherence and statistical optics : Coherent optical effects
(340.7440) X-ray optics : X-ray imaging

ToC Category:
Research Papers

Original Manuscript: June 28, 2005
Revised Manuscript: July 20, 2005
Published: August 8, 2005

Xizeng Wu and Hong Liu, "X-Ray cone-beam phase tomography formulas based on phase-attenuation duality," Opt. Express 13, 6000-6014 (2005)

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