2021
DOI: 10.48550/arxiv.2105.07891
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ADMM and Spectral Proximity Operators in Hyperspectral Broadband Phase Retrieval for Quantitative Phase Imaging

Abstract: A novel formulation of the hyperspectral broadband phase retrieval is developed for the scenario where both object and modulation phase masks are spectrally varying. The proposed algorithm is based on a complex domain version of the alternating direction method of multipliers (ADMM) and Spectral Proximity Operators (SPO) derived for Gaussian and Poissonian observations. Computations for these operators are reduced to the solution of sets of cubic (for Gaussian) and quadratic (for Poissonian) algebraic equation… Show more

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Cited by 2 publications
(2 citation statements)
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References 46 publications
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“…Hyperspectral complex-domain imaging is a comparatively new development that deals with a phase delay of coherent light in transparent or reflective objects [224]. Hyperspectral broadband phase imaging is more informative than the monochromatic technique.…”
Section: Coded Imaging Setupsmentioning
confidence: 99%
“…Hyperspectral complex-domain imaging is a comparatively new development that deals with a phase delay of coherent light in transparent or reflective objects [224]. Hyperspectral broadband phase imaging is more informative than the monochromatic technique.…”
Section: Coded Imaging Setupsmentioning
confidence: 99%
“…Contrary to the existing phase retrieval setups, this unique system is capable of computational super-resolved video reconstruction via phase retrieval with a high frame rate limited only by the camera. Hyperspectral complex-domain imaging: This is a comparatively new development that deals with a phase delay of a coherent light in transparent or reflective objects [35]. The hyperspectral broadband phase imaging is more informative than the monochromatic technique (see near zone setup and results in Figure 8).…”
Section: Enabling Doe Experimental Setupsmentioning
confidence: 99%