17 May 2013 Compressive sensing for improved depth discrimination in 3D holographic reconstruction
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Compressive holography has attracted significant interest since its introduction three about years ago. In this paper, we present an overview of our work on the ability to reconstruct a 3D volume from its 2D recorded compressive hologram. Using the single-exposure on-line (SEOL) setup, we show how CS applied to this naturally underdetermined problem enables the improved sectioning (or depth discrimination) of the reconstructed volume, when compared with standard in-line holography. We also present the mathematical guarantees for the reconstruction of the 3D volume features from its single 2D hologram and their physical implications for sectioning of 3D volume.
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Yair Rivenson, Yair Rivenson, Adrian Stern, Adrian Stern, Bahram Javidi, Bahram Javidi, "Compressive sensing for improved depth discrimination in 3D holographic reconstruction", Proc. SPIE 8738, Three-Dimensional Imaging, Visualization, and Display 2013, 87380P (17 May 2013); doi: 10.1117/12.2018497; https://doi.org/10.1117/12.2018497

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