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Virtual Journal for Biomedical Optics

Virtual Journal for Biomedical Optics

| EXPLORING THE INTERFACE OF LIGHT AND BIOMEDICINE

  • Editors: Andrew Dunn and Anthony Durkin
  • Vol. 7, Iss. 10 — Oct. 5, 2012

Reconstruction of hidden 3D shapes using diffuse reflections

Otkrist Gupta, Thomas Willwacher, Andreas Velten, Ashok Veeraraghavan, and Ramesh Raskar  »View Author Affiliations


Optics Express, Vol. 20, Issue 17, pp. 19096-19108 (2012)
http://dx.doi.org/10.1364/OE.20.019096


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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”.

© 2012 OSA

OCIS Codes
(110.0110) Imaging systems : Imaging systems
(110.1758) Imaging systems : Computational imaging

ToC Category:
Imaging Systems

History
Original Manuscript: March 30, 2012
Revised Manuscript: July 5, 2012
Manuscript Accepted: July 11, 2012
Published: August 6, 2012

Virtual Issues
Vol. 7, Iss. 10 Virtual Journal for Biomedical Optics

Citation
Otkrist Gupta, Thomas Willwacher, Andreas Velten, Ashok Veeraraghavan, and Ramesh Raskar, "Reconstruction of hidden 3D shapes using diffuse reflections," Opt. Express 20, 19096-19108 (2012)
http://www.opticsinfobase.org/vjbo/abstract.cfm?URI=oe-20-17-19096


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References

  1. P. Sen, B. Chen, G. Garg, S. R. Marschner, M. Horowitz, M. Levoy, and H. P. A. Lensch, “Dual photography,” ACM Trans. Graphics24(2), 745–755 (2005). [CrossRef]
  2. S. M. Seitz, Y. Matsushita, and K. N. Kutulakos, “A theory of inverse light transport,” in Proc. of IEEE ICCV (2005), Vol. 2, pp. 1440–1447.
  3. S. K. Nayar, G. Krishnan, M. D. Grossberg, and R. Raskar, “Fast separation of direct and global components of a scene using high frequency illumination,” ACM Trans. Graphics25, 935–944 (2006). [CrossRef]
  4. A. Kirmani, T. Hutchison, J. Davis, and R. Raskar, “Looking around the corner using transient imaging,” in Proc. of IEEE ICCV (2009), pp. 159–166.
  5. R. Pandharkar, A. Velten, A. Bardagjy, M. G. Bawendi, and R. Raskar, “Estimating motion and size of moving non-line-of-sight objects in cluttered environments,” in Proc. of CVPR (2011), pp. 265–272. [CrossRef]
  6. S. Liu, T. Ng, and Y. Matsushita, “Shape from second-bounce of light transport,” in Proc. of ECCV (2010), pp. 280–293.
  7. R. Raskar and J. Davis, “5D time-light transport matrix: What can we reason about scene properties,” MIT Technical Report (2008), http://hdl.handle.net/1721.1/67888 .
  8. A. Velten, T. Willwacher, O. Gupta, A. Veeraraghavan, M. G. Bawendi, and R. Raskar, “Recovering three-dimensional shape around a corner using ultra-fast time-of-flight imaging,” Nat. Commun.3, 745 (2011). [CrossRef]
  9. D. Needell and J. Tropp, “CoSaMP: Iterative signal recovery from incomplete and inaccurate samples,” Appl. Comput. Harmon. Anal.26, 301–321 (2009). [CrossRef]
  10. Hamamatsu, “Hamamatsu streak camera tutorial,” http://learn.hamamatsu.com/tutorials/java/streakcamera/ .
  11. D. Forsyth and J. Ponce, Computer Vision, a Modern Approach (Prentice Hall, 2002).
  12. E. Pettersen, T. Goddard, C. Huang, G. Couch, D. Greenblatt, E. Meng, and T. Ferrin, “UCSF Chimera–a visualization system for exploratory research and analysis,” J. Comput. Chem.25, 1605–1612 (2004). [CrossRef] [PubMed]
  13. B. Atcheson, I. Ihrke, W. Heidrich, A. Tevs, D. Bradley, M. Magnor, and H. Seidel, “Time-resolved 3d capture of non-stationary gas flows,” ACM Trans. Graphics27, 1–9 (2008). [CrossRef]

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