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Reconstruction Methods in THz Single-Pixel Imaging

  • Martin BurgerEmail author
  • Janic Föcke
  • Lukas Nickel
  • Peter Jung
  • Sven Augustin
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Part of the Applied and Numerical Harmonic Analysis book series (ANHA)

Abstract

The aim of this paper is to discuss some advanced aspects of image reconstruction in single-pixel cameras, focusing in particular on detectors in the THz regime. We discuss the reconstruction problem from a computational imaging perspective and provide a comparison of the effects of several state-of-the-art regularization techniques. Moreover, we focus on some advanced aspects arising in practice with THz cameras, which lead to nonlinear reconstruction problems: the calibration of the beam reminiscent of the Retinex problem in imaging and phase recovery problems. Finally, we provide an outlook to future challenges in the area.

Keywords

Single-pixel imaging Computational image reconstruction Calibration problems Phase recovery Retinex 
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Notes

Acknowledgements

This work has been supported by the German research foundation (DFG) through SPP 1798, Compressed Sensing in Information Processing, projects BU 2327/4-1 and JU 2795/3. MB acknowledges further support by ERC via Grant EU FP7 ERC Consolidator Grant 615216 LifeInverse.

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Martin Burger
    • 1
    Email author
  • Janic Föcke
    • 1
  • Lukas Nickel
    • 2
  • Peter Jung
    • 3
  • Sven Augustin
    • 4
  1. 1.Friedrich-Alexander Universität Erlangen-Nürnberg (FAU Erlangen-Nürnberg)ErlangenGermany
  2. 2.Westfälische-Wilhelms Universität Münster (WWU Münster)MünsterGermany
  3. 3.Technische Universität Berlin (TU Berlin)BerlinGermany
  4. 4.Humboldt-Universität zu Berlin (HU Berlin)BerlinGermany

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