4.7 Article

Image reconstruction from photon sparse data

Journal

SCIENTIFIC REPORTS
Volume 7, Issue -, Pages -

Publisher

NATURE PUBLISHING GROUP
DOI: 10.1038/srep42164

Keywords

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Funding

  1. Defence Science and Technology Laboratory under the Quantum PhD Programme [DSTL 1000091893]
  2. EPSRC under the Quantum Technologies Programme [EP/I012451/1]
  3. Austrian Science Fund FWF [J 3703-N27]
  4. Engineering and Physical Sciences Research Council [1786148, EP/M01326X/1] Funding Source: researchfish
  5. Austrian Science Fund (FWF) [J3703] Funding Source: Austrian Science Fund (FWF)
  6. EPSRC [EP/M01326X/1] Funding Source: UKRI

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We report an algorithm for reconstructing images when the average number of photons recorded per pixel is of order unity, i.e. photon-sparse data. The image optimisation algorithm minimises a cost function incorporating both a Poissonian log-likelihood term based on the deviation of the reconstructed image from the measured data and a regularization-term based upon the sum of the moduli of the second spatial derivatives of the reconstructed image pixel intensities. The balance between these two terms is set by a bootstrapping technique where the target value of the log-likelihood term is deduced from a smoothed version of the original data. When compared to the original data, the processed images exhibit lower residuals with respect to the true object. We use photon-sparse data from two different experimental systems, one system based on a single-photon, avalanche photo-diode array and the other system on a time-gated, intensified camera. However, this same processing technique could most likely be applied to any low photon-number image irrespective of how the data is collected.

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