AIP Advances (Feb 2021)

Denoising electron holograms using the wavelet hidden Markov model for phase retrieval—Applications to the phase-shifting method

  • Takehiro Tamaoka,
  • Yoshihiro Midoh,
  • Kazuo Yamamoto,
  • Shodai Aritomi,
  • Toshiaki Tanigaki,
  • Masao Nakamura,
  • Koji Nakamae,
  • Masashi Kawasaki,
  • Yasukazu Murakami

DOI
https://doi.org/10.1063/5.0027599
Journal volume & issue
Vol. 11, no. 2
pp. 025135 – 025135-6

Abstract

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Noise reduction using the wavelet hidden Markov model (WHMM) was applied to electron holograms of a LaFeO3/SrTiO3 specimen, which was subjected to phase retrieval by the phase-shifting method. A systematic study revealed the optimal conditions regarding the electron dose and number of holograms used for phase retrieval, for which the effect of denoising was most pronounced. The denoised holograms revealed the magnitude of the phase shift at the LaFeO3/SrTiO3 interface, while the original, noisy holograms did not allow for accurate measurements. The observations demonstrate the usefulness of denoising using the WHMM.