Single and two-shot quantitative phase imaging using Hilbert-Huang Transform based fringe pattern analysis

Maciej Trusiak , Mico Vicente , Krzysztof Patorski , Garcia Javier-Monreal , Łukasz Służewski , Ferreira Carlos


In this contribution we propose two Hilbert-Huang Transform based algorithms for fast and accurate single-shot and two-shot quantitative phase imaging applicable in both on-axis and off-axis configurations. In the first scheme a single fringe pattern containing information about biological phase-sample under study is adaptively pre-filtered using empirical mode decomposition based approach. Further it is phase demodulated by the Hilbert Spiral Transform aided by the Principal Component Analysis for the local fringe orientation estimation. Orientation calculation enables closed fringes efficient analysis and can be avoided using arbitrary phase-shifted two-shot Gram-Schmidt Orthonormalization scheme aided by Hilbert-Huang Transform pre-filtering. This two-shot approach is a trade-off between single-frame and temporal phase shifting demodulation. Robustness of the proposed techniques is corroborated using experimental digital holographic microscopy studies of polystyrene micro-beads and red blood cells. Both algorithms compare favorably with the temporal phase shifting scheme which is used as a reference method.
Author Maciej Trusiak (FM / IMPh)
Maciej Trusiak,,
- The Institute of Micromechanics and Photonics
, Mico Vicente - University of Valencia
Mico Vicente,,
, Krzysztof Patorski (FM / IMPh)
Krzysztof Patorski,,
- The Institute of Micromechanics and Photonics
, Garcia Javier-Monreal - University of Valencia
Garcia Javier-Monreal,,
, Łukasz Służewski - [Warsaw University of Technology (PW)]
Łukasz Służewski,,
- Politechnika Warszawska
, Ferreira Carlos
Ferreira Carlos,,
Pages99600D-1 - 99600D-10
Publication size in sheets0.5
Book Creath Katherine, Burke Jan, Albertazzi Gonçalves Armando: Interferometry XVIII, Proceedings of SPIE: The International Society for Optical Engineering, vol. 9960, 2016, SPIE - The International Society for Optics and Photonics, ISBN 9781510603110
Keywords in EnglishDigital Holographic Microscopy, Quantitative Phase Imaging, Fringe analysis, Hilbert spiral transform, Hilbert-Huang transform, Gram-Schmidt orthonormalization, phase demodulation
Languageen angielski
Score (nominal)0
Publication indicators Scopus Citations = 2; WoS Citations = 1; GS Citations = 2.0; Scopus SNIP (Source Normalised Impact per Paper) [Not active]: 2016 = 0.425
Citation count*2 (2020-09-23)
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