Dictionary-based phase retrieval for space-time super resolution using lens-free on-chip holographic video

Wang, Zihao; Dai, Qiqin; Ryu, Donghun; He, Kaijian; Horstmeyer, Roarke; Katsaggelos, Aggelos K.; Cossairt, Oliver

doi:10.1364/cosi.2017.ctu2b.3

Cited by 5 publications

(3 citation statements)

References 8 publications

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“…Since the object is illuminated by several beams, the reconstruction does not require an orthogonal basis where every pair of voxels would have uncorrelated holograms. An optimized basis could be learned, but it would necessitate a large number of test holograms to constitute the dictionary as in [39,40].…”

Section: Resultsmentioning

confidence: 99%

4D compressive sensing holographic imaging of small moving objects with multiple illuminations

et al. 2019

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In previous work [Opt. Lett. 44, 2827 (2019)], we presented a method based on digital holography and orthogonal matching pursuit, which is able to determine the 3D positions of small objects moving within a larger motionless object. Indeed, if the scattering density is sparse in direct 3D space, compressive sensing algorithms can be used. The method was validated by imaging red blood cell trajectories in the trunk vascular system of a zebrafish (Danio rerio) larva. We give here further details on the reconstruction technique and present a more robust version of the algorithm based on multiple illuminations.

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Section: Resultsmentioning

confidence: 99%

4D compressive sensing holographic imaging of small moving objects with multiple illuminations

et al. 2019

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“…In the past 30 decades, it has benefited from many practical improvements [6,10,11,13,49] and theoretical studies [9,41,50]. Recent approaches include new constraint enforcement strategies using sparsity constraints in the object or data spaces [51,52] or in the wavelets domain [16,53] .…”

Section: Fienup's Alternating Projections Strategiesmentioning

confidence: 99%

From Fienup’s phase retrieval techniques to regularized inversion for in-line holography: tutorial

Momey¹,

Denis²,

Thomas³

et al. 2019

J. Opt. Soc. Am. A

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This paper includes a tutorial on how to reconstruct in-line holograms using an inverse problems approach, starting with modeling the observations, selecting regularizations and constraints, and ending with the design of a reconstruction algorithm. A special focus is made on the connections between the numerous alternating projection strategies derived from Fienup's phase retrieval technique and the inverse problems framework. In particular, an interpretation of Fienup's algorithm as iterates of a proximal gradient descent for a particular cost function is given. Reconstructions from simulated and experimental holograms of micrometric beads illustrate the theoretical developments. The results show that the transition from alternating projection techniques to the inverse problems formulation is straightforward and advantageous.

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“…However, most of the existing methods, especially for incoherent cases, require multiple exposures and massive processing time. This limitation prevents broader applications such as in vivo imaging as the motion of the objects during capture process is hard to circumvent and thus, deteriorates the image quality [19,20]. Recent works have proposed to reduce the measuring requirement by computationally exploiting spatial-temporal redundancy of the scenes [21,22].…”

Section: Related Workmentioning

confidence: 99%

Computational multifocal microscopy

He¹,

Wang²,

Huang³

et al. 2018

Biomed. Opt. Express

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Despite recent advances, high performance single-shot 3D microscopy remains an elusive task. By introducing designed diffractive optical elements (DOEs), one is capable of converting a microscope into a 3D "kaleidoscope", in which case the snapshot image consists of an array of tiles and each tile focuses on different depths. However, the acquired multifocal microscopic (MFM) image suffers from multiple sources of degradation, which prevents MFM from further applications. We propose a unifying computational framework which simplifies the imaging system and achieves 3D reconstruction via computation. Our optical configuration omits chromatic correction grating and redesigns the multifocal grating to enlarge the tracking area. Our proposed setup features only one single grating in addition to a regular microscope. The aberration correction, along with Poisson and background denoising, are incorporated in our deconvolution-based fully-automated algorithm, which requires no empirical parameter-tuning. In experiments, we achieve the spatial resolutions of 0.35um (lateral) and 0.5um (axial), which are comparable to the resolution that can be achieved with confocal deconvolution microscopy. We demonstrate a 3D video of moving bacteria recorded at 25 frames per second using our proposed computational multifocal microscopy technique.

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Dictionary-based phase retrieval for space-time super resolution using lens-free on-chip holographic video

Abstract: We propose a dictionary-based phase retrieval approach for monitoring in vivo biological samples based on lens-free on-chip holographic video. Our results present a temporal increase of 9× with 4 × 4 sub-sampling.

Cited by 5 publications

References 8 publications

4D compressive sensing holographic imaging of small moving objects with multiple illuminations

4D compressive sensing holographic imaging of small moving objects with multiple illuminations

From Fienup’s phase retrieval techniques to regularized inversion for in-line holography: tutorial

Computational multifocal microscopy

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