Abstract
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.
Highlights
Optical imaging is a central aspect of biological research, biomedical examination, and medical diagnosis
We include this study as a calibration measure where a known sample is used to validate the capability of phase imaging provided by the proposed Variational Hilbert Quantitative Phase Imaging (VHQPI) technique
As it can be readily observed in cross-section presented in Fig. 4f, both single-shot techniques, namely VHQPI and H2PM, ensure phase imaging capacity verified by the multi-frame temporal phase-shifting profile
Summary
Maciej Trusiak1,4*, Maria Cywińska1,4*, Vicente Micó[2], José Ángel Picazo‐Bueno[2], Chao Zuo[3], Piotr Zdańkowski1 & Krzysztof Patorski[1]. Off-axis phase demodulation is presently facilitated mainly by imposing restrictions on object and reference b eams[38,39,40], utilizing subtraction of two images[41,42,43,44,45,46,47], employing two w avelengths[48], or basing on the 1D limited processing[49,50,51,52], In this contribution we are focusing on accurate bi-dimensional single-shot approaches as ability to study full-field dynamic events is fundamental in biomedicine. It would enable to somewhat merge on-axis and off-axis regimes and capitalize on the advantages of both approaches simultaneously In this virtue, we propose the Variational Hilbert Quantitative Phase Imaging (VHQPI) method—end-toend purely numerical add-on module improving the QPI performance without any hardware modifications. “Experimental evaluation” validates the proposed VHQPI method considering different types of bio-samples and the last section concludes the paper
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