Reconstruction of hidden 3D shapes using diffuse reflections
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Raskar_Reconstruction of.pdf
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Author(s)
Gupta, Otkrist
Willwacher, Thomas
Velten, Andreas
Veeraraghavan, Ashok
Raskar, Ramesh
Date Issued
August 2012
Journal
Optics Express
Publisher
Optical Society of America
Citation
Gupta, Otkrist, Thomas Willwacher, Andreas Velten, Ashok Veeraraghavan, and Ramesh Raskar. “Reconstruction of Hidden 3D Shapes Using Diffuse Reflections.” Optics Express 20, no. 17 (2012): 19096.
Version
Original manuscript
Abstract
We analyze multi-bounce propagation of light in an unknown hidden volume and demonstrate that the reflected light contains sufficient information to recover the 3D structure of the hidden scene. We formulate the forward and inverse theory of secondary scattering using ideas from energy front propagation and tomography. We show that using Fresnel approximation greatly simplifies this problem and the inversion can be achieved via a backpropagation process. We study the invertibility, uniqueness and choices of space-time-angle dimensions using synthetic examples. We show that a 2D streak camera can be used to discover and reconstruct hidden geometry. Using a 1D high speed time of flight camera, we show that our method can be used recover 3D shapes of objects “around the corner”.
MIT Department
Massachusetts Institute of Technology. Media Laboratory
Program in Media Arts and Sciences (Massachusetts Institute of Technology)
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1364/OE.20.019096
