A Russian Dolls ordering of the Hadamard basis for compressive single-pixel imaging

Sun, M.-J., Meng, L.-T., Edgar, M. P., Padgett, M. J. and Radwell, N. (2017) A Russian Dolls ordering of the Hadamard basis for compressive single-pixel imaging. Scientific Reports, 7(1), 3464. (doi: 10.1038/s41598-017-03725-6) (PMID:28615622) (PMCID:PMC5471277)

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Single-pixel imaging is an alternate imaging technique particularly well-suited to imaging modalities such as hyper-spectral imaging, depth mapping, 3D profiling. However, the single-pixel technique requires sequential measurements resulting in a trade-off between spatial resolution and acquisition time, limiting real-time video applications to relatively low resolutions. Compressed sensing techniques can be used to improve this trade-off. However, in this low resolution regime, conventional compressed sensing techniques have limited impact due to lack of sparsity in the datasets. Here we present an alternative compressed sensing method in which we optimize the measurement order of the Hadamard basis, such that at discretized increments we obtain complete sampling for different spatial resolutions. In addition, this method uses deterministic acquisition, rather than the randomized sampling used in conventional compressed sensing. This so-called ‘Russian Dolls’ ordering also benefits from minimal computational overhead for image reconstruction. We find that this compressive approach performs as well as other compressive sensing techniques with greatly simplified post processing, resulting in significantly faster image reconstruction. Therefore, the proposed method may be useful for single-pixel imaging in the low resolution, high-frame rate regime, or video-rate acquisition.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Padgett, Professor Miles and Edgar, Dr Matthew and Radwell, Dr Neal
Authors: Sun, M.-J., Meng, L.-T., Edgar, M. P., Padgett, M. J., and Radwell, N.
College/School:College of Science and Engineering > School of Physics and Astronomy
Journal Name:Scientific Reports
Publisher:Nature Publishing Group
ISSN (Online):2045-2322
Copyright Holders:Copyright © 2017 The Authors
First Published:First published in Scientific Reports 7(1):3464
Publisher Policy:Reproduced under a Creative Commons License

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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
6672319UK Quantum Technology Hub in Enhanced Quantum ImagingMiles PadgettEngineering and Physical Sciences Research Council (EPSRC)EP/M01326X/1S&E P&A - PHYSICS & ASTRONOMY