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Imaging the propagation of light through scenes at picosecond resolution

Published:24 August 2016Publication History
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Abstract

We present a novel imaging technique, which we call femto-photography, to capture and visualize the propagation of light through table-top scenes with an effective exposure time of 1.85 ps per frame. This is equivalent to a resolution of about one half trillion frames per second; between frames, light travels approximately just 0.5 mm. Since cameras with such extreme shutter speed obviously do not exist, we first re-purpose modern imaging hardware to record an ensemble average of repeatable events that are synchronized to a streak sensor, in which the time of arrival of light from the scene is coded in one of the sensor's spatial dimensions. We then introduce reconstruction methods that allow us to visualize the propagation of femtosecond light pulses through the scenes. Given this fast resolution and the finite speed of light, we observe that the camera does not necessarily capture the events in the same order as they occur in reality: we thus introduce the notion of time-unwarping between the camera's and the world's space--time coordinate systems, to take this into account. We apply our femto-photography technique to visualizations of very different scenes, which allow us to observe the rich dynamics of time-resolved light transport effects, including scattering, specular reflections, diffuse interreflections, diffraction, caustics, and subsurface scattering. Our work has potential applications in artistic, educational, and scientific visualizations; industrial imaging to analyze material properties; and medical imaging to reconstruct subsurface elements. In addition, our time-resolved technique has already motivated new forms of computational photography, as well as novel algorithms for the analysis and synthesis of light transport.

References

  1. Charbon, E. Will avalanche photodiode arrays ever reach 1 megapixel? In International Image Sensor Workshop (Ogunquit, ME, 2007), 246--249.Google ScholarGoogle Scholar
  2. Colaço, A., Kirmani, A., Howland, G.A., Howell, J.C., Goyal, V.K. Compressive depth map acquisition using a single photon-counting detector: Parametric signal processing meets sparsity. In 2012 IEEE Conference on Computer Vision and Pattern Recognition (CVPR) (Providence, RI, June 2012), IEEE, 96--102. Google ScholarGoogle ScholarDigital LibraryDigital Library
  3. Goda, K., Tsia, K.K., Jalali, B. Serial time-encoded amplified imaging for real-time observation of fast dynamic phenomena. Nature 458 (2009), 1145--1149.Google ScholarGoogle ScholarCross RefCross Ref
  4. Gupta, O., Willwacher, T., Velten, A., Veeraraghavan, A., Raskar, R. Reconstruction of hidden 3D shapes using diffuse reflections. Opt. Expr. 20 (2012). 19096--19108.Google ScholarGoogle Scholar
  5. Heide, F., Hullin, M.B., Gregson, J., Heidrich, W. Low-budget transient imaging using photonic mixer devices. ACM Trans. Graph. 32, 4 (2013), 45:1--45:10. Google ScholarGoogle ScholarDigital LibraryDigital Library
  6. Heide, F., Xiao, L., Heidrich, W., Hullin, M.B. Diffuse mirrors: 3D reconstruction from diffuse indirect illumination using inexpensive time-of-flight sensors. In CVPR (June 2014). Google ScholarGoogle ScholarDigital LibraryDigital Library
  7. Jarabo, A., Marco, J., Muñoz, A., Buisan, R., Jarosz, W., Gutierrez, D. A framework for transient rendering. ACM Trans. Graph. 33, 6 (2014), 177:1--177:10. Google ScholarGoogle ScholarDigital LibraryDigital Library
  8. Jarabo, A., Masia, B., Velten, A., Barsi, C., Raskar, R., Gutierrez, D. Relativistic effects for time-resolved light transport. Comput. Graph. Forum (2015) to appear. DOI: 10.1111/cgf.12604.Google ScholarGoogle ScholarDigital LibraryDigital Library
  9. Kadambi, A., Whyte, R., Bhandari, A., Streeter, L., Barsi, C., Dorrington, A., Raskar, R. Coded time of flight cameras: Sparse deconvolution to address multipath interference and recover time profiles. ACM Trans. Graph. 32, 6 (2013), 167:1--167:10. Google ScholarGoogle ScholarDigital LibraryDigital Library
  10. Kirmani, A., Hutchison, T., Davis, J., Raskar, R. Looking around the corner using ultrafast transient imaging. Int. J. Comp. Vision 95, 1 (2011), 13--28. Google ScholarGoogle ScholarDigital LibraryDigital Library
  11. Laurenzis, M., Velten, A. Nonline-of-sight laser gated viewing of scattered photons. Opt. Eng. 53, 2 (2014), 023102--023102.Google ScholarGoogle ScholarCross RefCross Ref
  12. Naik, N., Zhao, S., Velten, A., Raskar, R., Bala, K. Single view reflectance capture using multiplexed scattering and TOF imaging. ACM Trans. Graph. 30 (2011), 171:1--171:10. Google ScholarGoogle ScholarDigital LibraryDigital Library
  13. O'Toole, M., Heide, F., Xiao, L., Hullin, M.B., Heidrich, W., Kutulakos, K.N. Temporal frequency probing for 5D transient analysis of global light transport. ACM Trans. Graph. 33, 4 (2014), 87:1--87:11. Google ScholarGoogle ScholarDigital LibraryDigital Library
  14. Pandharkar, R., Velten, A., Bardagjy, A., Bawendi, M., Raskar, R. Estimating motion and size of moving non-line-of-sight objects in cluttered environments. In 2011 IEEE Conference on Computer Vision and Pattern Recognition (CVPR) (Colorado Springs, CO, June 2011), IEEE, 265--272. Google ScholarGoogle ScholarDigital LibraryDigital Library
  15. Qu, J., Liu, L., Chen, D., Lin, Z., Xu, G., Guo, B., Niu, H. Temporally and spectrally resolved sampling imaging with a specially designed streak camera. Opt. Lett. 31 (2006), 368--370.Google ScholarGoogle ScholarCross RefCross Ref
  16. Velten, A., Fritz, A., Bawendi, M.G., Raskar, R. Multibounce time-of-flight imaging for object reconstruction from indirect light. In Conference for Lasers and Electro-Optics (OSA, 2012).Google ScholarGoogle ScholarCross RefCross Ref
  17. Velten, A., Willwacher, T., Gupta, O., Veeraraghavan, A., Bawendi, M.G., Raskar, R. Recovering three-dimensional shape around a corner using ultrafast time-of-flight imaging. Nat. Commun. 3, 745 (2012), 745:1--745:8.Google ScholarGoogle ScholarCross RefCross Ref
  18. Velten, A., Wu, D., Jarabo, A., Masia, B., Barsi, C., Joshi, C., Lawson, E., Bawendi, M.G., Gutierrez, D., Raskar, R. Femto-photography: Capturing and visualizing the propagation of light. ACM Trans. Graph. 32, 4 (2013), 44:1--44:8. Google ScholarGoogle ScholarDigital LibraryDigital Library
  19. Velten, A., Wu, D., Jarabo, A., Masia, B., Barsi, C., Lawson, E., Joshi, C., Gutierrez, D., Bawendi, M.G., Raskar, R. Relativistic ultrafast rendering using time-of-flight imaging. In ACM SIGGRAPH Talks (2012). Google ScholarGoogle ScholarDigital LibraryDigital Library
  20. Wu, D., Velten, A., O'Toole, M., Masia, B., Agrawal, A., Dai, Q., Raskar, R. Decomposing global light transport using time of flight imaging. Int. J. Comput. Vision 107, 2 (April 2014), 123--138. Google ScholarGoogle ScholarDigital LibraryDigital Library
  21. Wu, D., Wetzstein, G., Barsi, C., Willwacher, T., O'Toole, M., Naik, N., Dai, Q., Kutulakos, K., Raskar, R. Frequency Analysis of Transient Light Transport with Applications in Bare Sensor Imaging. Springer, Berlin, Heidelberg, 2012, 542--555. Google ScholarGoogle ScholarDigital LibraryDigital Library

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          cover image Communications of the ACM
          Communications of the ACM  Volume 59, Issue 9
          September 2016
          91 pages
          ISSN:0001-0782
          EISSN:1557-7317
          DOI:10.1145/2991470
          • Editor:
          • Moshe Y. Vardi
          Issue’s Table of Contents

          Copyright © 2016 ACM

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          Publication History

          • Published: 24 August 2016

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