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Quantitative phase imaging (QPI) techniques are faced with an inherent trade-off between phase imaging fidelity and temporal resolution. Here, we propose a general algorithmic framework for QPI reconstruction that takes into account the spatiotemporal image priors. In particular, total variation with respect to the complex spatio-temporal datacube is introduced as a sparsity-promoting regularizer. The phase retrieval process is formulated as a standard optimization problem and is solved via an accelerated proximal gradient method. The algorithms are evaluated on a proof-of-concept QPI imaging system based on defocus diversity. Numerical and experimental results both indicate that the proposed spatio-temporal compressive phase retrieval framework could achieve high-fidelity quantitative phase imaging while improving the temporal resolution to that of a single-shot method. We experimentally demonstrate video-rate QPI of dynamic biological activities that is free of motion blur and twin-image artifacts. The proposed framework could potentially achieve a high space-bandwidth-time product and push the information throughput of QPI systems towards the theoretic limit.
(2024) Published by SPIE. Downloading of the abstract is permitted for personal use only.
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