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Analyser-based phase contrast image reconstruction using geometrical optics.

M J Kitchen1, K M Pavlov, K K W Siu

  • 1School of Physics, Monash University, Victoria 3800, Australia. Marcus.Kitchen@sci.monash.edu.au

Physics in Medicine and Biology
|August 1, 2007
PubMed
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Analyser-based phase contrast imaging offers high-resolution radiographs. This study introduces an improved phase retrieval method using Pearson VII function fitting for accurate quantitative phase and attenuation imaging, even with divergent X-ray beams.

Area of Science:

  • Medical Imaging
  • Materials Science
  • Physics

Background:

  • Analyser-based phase contrast imaging provides high-resolution, high-contrast radiographs.
  • Quantitative phase and attenuation information extraction is possible with minimal images under geometrical optics approximations.

Purpose of the Study:

  • To develop and validate an improved analytical phase retrieval method for analyser-based phase contrast imaging.
  • To enhance the accuracy of quantitative phase and attenuation imaging, particularly for systems with divergent X-ray sources.

Main Methods:

  • Phase retrieval was performed by fitting experimental analyser rocking curves using a symmetric Pearson type VII function.
  • A test phantom was imaged at 20 keV using a Si(1 1 1) analyser at the ELETTRA synchrotron radiation facility.

Related Experiment Videos

  • The Takagi number was calculated to differentiate between geometrical optics violations and curve fitting failures.

    • Main Results:

    • The Pearson VII function provided a >10% better fit to rocking curves compared to linear or Gaussian functions.
    • The developed phase retrieval method yielded more accurate object reconstruction than linear fitting methods.
    • The technique successfully enabled quantitative phase retrieval with a divergent source and accounted for analyser imperfections.

    Conclusions:

    • The Pearson VII function offers a superior fit for analytical phase retrieval in X-ray phase contrast imaging.
    • The proposed method improves object reconstruction accuracy and distinguishes between optical and fitting issues.
    • This approach facilitates quantitative phase retrieval in more complex imaging systems, including those with divergent sources.