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

Abstract 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 acq...

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Autores principales: Ming-Jie Sun, Ling-Tong Meng, Matthew P. Edgar, Miles J. Padgett, Neal Radwell
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Publicado: Nature Portfolio 2017
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Acceso en línea:https://doaj.org/article/b9c7b5e28dff47e0b21493b3f491c3fd
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spelling oai:doaj.org-article:b9c7b5e28dff47e0b21493b3f491c3fd2021-12-02T11:40:45ZA Russian Dolls ordering of the Hadamard basis for compressive single-pixel imaging10.1038/s41598-017-03725-62045-2322https://doaj.org/article/b9c7b5e28dff47e0b21493b3f491c3fd2017-06-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-03725-6https://doaj.org/toc/2045-2322Abstract 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.Ming-Jie SunLing-Tong MengMatthew P. EdgarMiles J. PadgettNeal RadwellNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-7 (2017)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
Ming-Jie Sun
Ling-Tong Meng
Matthew P. Edgar
Miles J. Padgett
Neal Radwell
A Russian Dolls ordering of the Hadamard basis for compressive single-pixel imaging
description Abstract 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.
format article
author Ming-Jie Sun
Ling-Tong Meng
Matthew P. Edgar
Miles J. Padgett
Neal Radwell
author_facet Ming-Jie Sun
Ling-Tong Meng
Matthew P. Edgar
Miles J. Padgett
Neal Radwell
author_sort Ming-Jie Sun
title A Russian Dolls ordering of the Hadamard basis for compressive single-pixel imaging
title_short A Russian Dolls ordering of the Hadamard basis for compressive single-pixel imaging
title_full A Russian Dolls ordering of the Hadamard basis for compressive single-pixel imaging
title_fullStr A Russian Dolls ordering of the Hadamard basis for compressive single-pixel imaging
title_full_unstemmed A Russian Dolls ordering of the Hadamard basis for compressive single-pixel imaging
title_sort russian dolls ordering of the hadamard basis for compressive single-pixel imaging
publisher Nature Portfolio
publishDate 2017
url https://doaj.org/article/b9c7b5e28dff47e0b21493b3f491c3fd
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