Abstract
The phasor field has been shown to be a valuable tool for non-line-of-sight imaging. We present a formal analysis of phasor-field imaging using paraxial wave optics. Then, we derive a set of propagation primitives-using the two-frequency, spatial Wigner distribution-that extend the purview of phasor-field imaging. We use these primitives to analyze a set of simple imaging scenarios involving occluded and unoccluded geometries with modulated and unmodulated light. These scenarios demonstrate how to apply the primitives in practice and reveal what kind of insights can be expected from them.
Highlights
Non-line-of-sight (NLoS) imaging, colloquially known as imaging around corners, is an important and growing area of research in the imaging community
We have presented a complete light transport model, in phasor-field terms, capable of describing propagation through a transmissive, paraxial geometry—including intermediate occluders and a specular-plus-diffuser mask—that serves as an unfolded proxy for occlusion-aided, three-bounce NLoS imaging
For imaging purely diffuse objects without intermediate occluders, we phrased our analysis in terms of the P field and provided a straightforward derivation of its behavior, analogous to that reported by Reza et al [9]
Summary
Non-line-of-sight (NLoS) imaging, colloquially known as imaging around corners, is an important and growing area of research in the imaging community. With an awareness of the depth of the preceding work, Kadambi et al [6] provided a unified theoretical framework for the problem of occluded geometry reconstruction and motion tracking, including an analysis of expected performance and a consideration of commercially available equipment They generalized their theory to deal with imaging through diffusers, in addition to the around-the-corner scenario, and offered experimental demonstration of the effectiveness of their framework. Liu et al [10] used the P-field approach to propose and demonstrate that line-of-sight imaging techniques can be fruitfully applied, in a computational manner, to NLoS operation, even in the presence of intermediate occluders and non-Lambertian reflections In doing so, they presented what may be the most robust and detailed reconstructions of NLoS scenes to date. IV we summarize our results and consider directions for further research
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