Variational Hilbert Quantitative Phase Imaging

doi:10.1038/s41598-020-69717-1

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Variational Hilbert Quantitative Phase Imaging

2020-08-18

Maciej Trusiak

Maria Cywińska *

Vicente Micó

José Ángel Picazo-Bueno

Chao Zuo

Piotr Zdańkowski

Krzysztof Patorski

DOI：10.1038/s41598-020-69717-1

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Abstract

En 中文

Utilizing the refractive index as the endogenous contrast agent to noninvasively study transparent cells is a working principle of emerging quantitative phase imaging (QPI). In this contribution, we propose the Variational Hilbert Quantitative Phase Imaging (VHQPI)-end-to-end purely computational add-on module able to improve performance of a QPI-unit without hardware modifications. The VHQPI, deploying unique merger of tailored variational image decomposition and enhanced Hilbert spiral transform, adaptively provides high quality map of sample-induced phase delay, accepting particularly wide range of input single-shot interferograms (from off-axis to quasi on-axis configurations). It especially promotes high space-bandwidth-product QPI configurations alleviating the spectral overlapping problem. The VHQPI is tailored to deal with cumbersome interference patterns related to detailed locally varying biological objects with possibly high dynamic range of phase and relatively low carrier. In post-processing, the slowly varying phase-term associated with the instrumental optical aberrations is eliminated upon variational analysis to further boost the phase-imaging capabilities. The VHQPI is thoroughly studied employing numerical simulations and successfully validated using static and dynamic cells phase-analysis. It compares favorably with other single-shot phase reconstruction techniques based on the Fourier and Hilbert-Huang transforms, both in terms of visual inspection and quantitative evaluation, potentially opening up new possibilities in QPI.

Keywords:

DIGITAL HOLOGRAPHIC MICROSCOPY

OFF-AXIS INTERFEROMETRY

FRINGE PATTERNS

FOURIER-TRANSFORM

NOISE REMOVAL

CONTRAST

RECONSTRUCTION

DEMODULATION

DIFFRACTION

BANDWIDTH

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