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Two-Dimensional Non-Line-of-Sight Scene Estimation from a Single Edge Occluder

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Document pages: 14 pages

Abstract: Passive non-line-of-sight imaging methods are often faster and stealthierthan their active counterparts, requiring less complex and costly equipment.However, many of these methods exploit motion of an occluder or the hiddenscene, or require knowledge or calibration of complicated occluders. The edgeof a wall is a known and ubiquitous occluding structure that may be used as anaperture to image the region hidden behind it. Light from around the corner iscast onto the floor forming a fan-like penumbra rather than a sharp shadow.Subtle variations in the penumbra contain a remarkable amount of informationabout the hidden scene. Previous work has leveraged the vertical nature of theedge to demonstrate 1D (in angle measured around the corner) reconstructions ofmoving and stationary hidden scenery from as little as a single photograph ofthe penumbra. In this work, we introduce a second reconstruction dimension:range measured from the edge. We derive a new forward model, accounting forradial falloff, and propose two inversion algorithms to form 2D reconstructionsfrom a single photograph of the penumbra. Performances of both algorithms aredemonstrated on experimental data corresponding to several different hiddenscene configurations. A Cramer-Rao bound analysis further demonstrates thefeasibility (and utility) of the 2D corner camera.

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