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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 6 — Mar. 25, 2013
  • pp: 7384–7399

Comparison of single distance phase retrieval algorithms by considering different object composition and the effect of statistical and structural noise

R. C. Chen, L. Rigon, and R. Longo  »View Author Affiliations


Optics Express, Vol. 21, Issue 6, pp. 7384-7399 (2013)
http://dx.doi.org/10.1364/OE.21.007384


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Abstract

Phase retrieval is a technique for extracting quantitative phase information from X-ray propagation-based phase-contrast tomography (PPCT). In this paper, the performance of different single distance phase retrieval algorithms will be investigated. The algorithms are herein called phase-attenuation duality Born Algorithm (PAD-BA), phase-attenuation duality Rytov Algorithm (PAD-RA), phase-attenuation duality Modified Bronnikov Algorithm (PAD-MBA), phase-attenuation duality Paganin algorithm (PAD-PA) and phase-attenuation duality Wu Algorithm (PAD-WA), respectively. They are all based on phase-attenuation duality property and on weak absorption of the sample and they employ only a single distance PPCT data. In this paper, they are investigated via simulated noise-free PPCT data considering the fulfillment of PAD property and weakly absorbing conditions, and with experimental PPCT data of a mixture sample containing absorbing and weakly absorbing materials, and of a polymer sample considering different degrees of statistical and structural noise. The simulation shows all algorithms can quantitatively reconstruct the 3D refractive index of a quasi-homogeneous weakly absorbing object from noise-free PPCT data. When the weakly absorbing condition is violated, the PAD-RA and PAD-PA/WA obtain better result than PAD-BA and PAD-MBA that are shown in both simulation and mixture sample results. When considering the statistical noise, the contrast-to-noise ratio values decreases as the photon number is reduced. The structural noise study shows that the result is progressively corrupted by ring-like artifacts with the increase of structural noise (i.e. phantom thickness). The PAD-RA and PAD-PA/WA gain better density resolution than the PAD-BA and PAD-MBA in both statistical and structural noise study.

© 2013 OSA

OCIS Codes
(100.5070) Image processing : Phase retrieval
(110.6960) Imaging systems : Tomography
(110.7440) Imaging systems : X-ray imaging

ToC Category:
Image Processing

History
Original Manuscript: December 3, 2012
Revised Manuscript: February 25, 2013
Manuscript Accepted: February 26, 2013
Published: March 18, 2013

Virtual Issues
Vol. 8, Iss. 4 Virtual Journal for Biomedical Optics

Citation
R. C. Chen, L. Rigon, and R. Longo, "Comparison of single distance phase retrieval algorithms by considering different object composition and the effect of statistical and structural noise," Opt. Express 21, 7384-7399 (2013)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-21-6-7384


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