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

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Abstract

In previous work [Opt. Lett. 44, 2827 (2019) [CrossRef]  ], 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.

© 2019 Optical Society of America

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Supplementary Material (3)

NameDescription
Visualization 1       3D reconstruction of the red blood cells positions in the vascular system of a 5-days zebrafish larva. Positions are obtained for one camera frame.
Visualization 2       3D reconstruction of the blood vessels by averaging the trajectories of the red blood cells over 256 frames. Vascular system of a 5-days zebrafish larva.
Visualization 3       Reconstruction of the vascular system of a 5-days zebrafish larva. The instantaneous 3D positions of the red blood cells are represented. The shapes of the blood vessels are obtained by averaging the trajectories of the red blood cells over 256 frames

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Equations (10)

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