English

Boosting spatial resolution by incorporating periodic boundary conditions into single-distance hard-x-ray phase retrieval

Image and Video Processing 2021-11-16 v2 Applied Physics Optics

Abstract

A simple coherent-imaging method due to Paganin et al. is widely employed for phase-amplitude reconstruction of samples using a single paraxial x-ray propagation-based phase-contrast image. The method assumes that the sample-to-detector distance is sufficiently small for the associated Fresnel number to be large compared to unity. The algorithm is particularly effective when employed in a tomographic setting, using a single propagation-based phase-contrast image for each projection. Here we develop a simple extension of the method, which improves the reconstructed contrast of very fine sample features. This provides first-principles motivation for boosting fine spatial detail associated with high Fourier frequencies, relative to the original method, and was inspired by several recent works employing empirically-obtained Fourier filters to a similar end.

Keywords

Cite

@article{arxiv.2005.03660,
  title  = {Boosting spatial resolution by incorporating periodic boundary conditions into single-distance hard-x-ray phase retrieval},
  author = {David M. Paganin and Vincent Favre-Nicolin and Alessandro Mirone and Alexander Rack and Julie Villanova and Margie P. Olbinado and Vincent Fernandez and Julio C. da Silva and Daniele Pelliccia},
  journal= {arXiv preprint arXiv:2005.03660},
  year   = {2021}
}