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X-ray Crystallography02:18

X-ray Crystallography

The size of the unit cell and the arrangement of atoms in a crystal may be determined from measurements of the diffraction of X-rays by the crystal, termed X-ray crystallography.
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Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating
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Post-detection analysis for grating-based ultra-small angle X-ray scattering.

F Scattarella1, S Tangaro, P Modregger

  • 1Dipartimento Interateneo di Fisica Michelangelo Merlin, Universitá degli Studi di Bari Aldo Moro, Bari, Italy.

Physica Medica : PM : an International Journal Devoted to the Applications of Physics to Medicine and Biology : Official Journal of the Italian Association of Biomedical Physics (AIFB)
|February 5, 2013
PubMed
Summary
This summary is machine-generated.

Grating interferometry can now access reciprocal space information, not just real space. The Lucy-Richardson deconvolution algorithm is most effective for analyzing this ultra-small angle X-ray scattering data.

Keywords:
DeconvolutionIterative filterLinear filterPhase contrastUSAXS analysisX-ray

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Area of Science:

  • X-ray physics
  • Materials science
  • Image analysis

Background:

  • Grating interferometry, a hard X-ray phase-sensitive imaging technique, was traditionally limited to real-space information.
  • Recent advancements enable the retrieval of reciprocal space data, specifically angular resolved ultra-small angle X-ray scattering (USAXS) distributions.

Purpose of the Study:

  • To compare the performance of different deconvolution algorithms for retrieving USAXS data from grating interferometry.
  • To identify the most reliable and efficient algorithm for analyzing noisy, periodic data.

Main Methods:

  • Quantitative comparison of Wiener, iterative Wiener, and Lucy-Richardson deconvolution algorithms.
  • Simulations using realistically modeled, noisy, and periodic input data representative of grating interferometry experiments.

Main Results:

  • The Lucy-Richardson algorithm demonstrated superior reliability and efficiency in retrieving USAXS distributions compared to Wiener-based methods.
  • Algorithm performance was evaluated as a function of signal characteristics in the context of noisy, periodic data.

Conclusions:

  • Grating interferometry can now provide both real and reciprocal space information, expanding its utility.
  • The Lucy-Richardson algorithm is recommended for analyzing USAXS data obtained via grating interferometry, crucial for future technique development.