In X-ray Talbot interferometry, tilting the phase grating with respect to the absorption grating results in the formation of spatial fringes. The analysis of this moiré pattern, classically performed by the Fourier method, allows the extraction of the sample phase shift information from a single image. In this context, an extension to the Fourier method is proposed. The filter used to extract the fringe information is chosen optimally in the least-squares sense, given models for the zeroth and first order modes, noise and the modulation transfer function. The latter is obtained by measuring the detector response to moiré fringes with increasing frequencies. The obtained Wiener filter allows a better reconstruction of the phase information at all fringe frequencies, compared to the usual box or gaussian filters. This is demonstrated quantitatively by experiments using synchrotron radiation.
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31 July 2012
INTERNATIONAL WORKSHOP ON X-RAY AND NEUTRON PHASE IMAGING WITH GRATINGS
5–7 March 2012
Tokyo, Japan
Research Article|
July 31 2012
Analysis of moiré fringes by Wiener filtering: An extension to the Fourier method
Sébastien Harasse;
Sébastien Harasse
Department of Advanced Materials Science, Graduate School of Frontier Sciences, the University of Tokyo,
Japan
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Wataru Yashiro;
Wataru Yashiro
Department of Advanced Materials Science, Graduate School of Frontier Sciences, the University of Tokyo,
Japan
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Atsushi Momose
Atsushi Momose
Department of Advanced Materials Science, Graduate School of Frontier Sciences, the University of Tokyo,
Japan
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AIP Conf. Proc. 1466, 155–162 (2012)
Citation
Sébastien Harasse, Wataru Yashiro, Atsushi Momose; Analysis of moiré fringes by Wiener filtering: An extension to the Fourier method. AIP Conf. Proc. 31 July 2012; 1466 (1): 155–162. https://doi.org/10.1063/1.4742285
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