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Non-line-of-sight imaging using phasor-field virtual wave optics

Xiaochun Liu, Ibón Guillén, Marco La Manna, Ji Hyun Nam, Syed Azer Reza, Toan Huu Le, Adrian Jarabo, Diego Gutierrez and Andreas Velten ()
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Xiaochun Liu: University of Wisconsin Madison
Ibón Guillén: Universidad de Zaragoza—I3A
Marco La Manna: University of Wisconsin Madison
Ji Hyun Nam: University of Wisconsin Madison
Syed Azer Reza: University of Wisconsin Madison
Toan Huu Le: University of Wisconsin Madison
Adrian Jarabo: Universidad de Zaragoza—I3A
Diego Gutierrez: Universidad de Zaragoza—I3A
Andreas Velten: University of Wisconsin Madison

Nature, 2019, vol. 572, issue 7771, 620-623

Abstract: Abstract Non-line-of-sight imaging allows objects to be observed when partially or fully occluded from direct view, by analysing indirect diffuse reflections off a secondary relay surface. Despite many potential applications1–9, existing methods lack practical usability because of limitations including the assumption of single scattering only, ideal diffuse reflectance and lack of occlusions within the hidden scene. By contrast, line-of-sight imaging systems do not impose any assumptions about the imaged scene, despite relying on the mathematically simple processes of linear diffractive wave propagation. Here we show that the problem of non-line-of-sight imaging can also be formulated as one of diffractive wave propagation, by introducing a virtual wave field that we term the phasor field. Non-line-of-sight scenes can be imaged from raw time-of-flight data by applying the mathematical operators that model wave propagation in a conventional line-of-sight imaging system. Our method yields a new class of imaging algorithms that mimic the capabilities of line-of-sight cameras. To demonstrate our technique, we derive three imaging algorithms, modelled after three different line-of-sight systems. These algorithms rely on solving a wave diffraction integral, namely the Rayleigh–Sommerfeld diffraction integral. Fast solutions to Rayleigh–Sommerfeld diffraction and its approximations are readily available, benefiting our method. We demonstrate non-line-of-sight imaging of complex scenes with strong multiple scattering and ambient light, arbitrary materials, large depth range and occlusions. Our method handles these challenging cases without explicitly inverting a light-transport model. We believe that our approach will help to unlock the potential of non-line-of-sight imaging and promote the development of relevant applications not restricted to laboratory conditions.

Date: 2019
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DOI: 10.1038/s41586-019-1461-3

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