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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 19, Iss. 22 — Oct. 24, 2011
  • pp: 21485–21507

Exploiting sparsity in time-of-flight range acquisition using a single time-resolved sensor

Ahmed Kirmani, Andrea Colaço, Franco N. C. Wong, and Vivek K. Goyal  »View Author Affiliations


Optics Express, Vol. 19, Issue 22, pp. 21485-21507 (2011)
http://dx.doi.org/10.1364/OE.19.021485


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Abstract

Range acquisition systems such as light detection and ranging (LIDAR) and time-of-flight (TOF) cameras operate by measuring the time difference of arrival between a transmitted pulse and the scene reflection. We introduce the design of a range acquisition system for acquiring depth maps of piecewise-planar scenes with high spatial resolution using a single, omnidirectional, time-resolved photodetector and no scanning components. In our experiment, we reconstructed 64 × 64-pixel depth maps of scenes comprising two to four planar shapes using only 205 spatially-patterned, femtosecond illuminations of the scene. The reconstruction uses parametric signal modeling to recover a set of depths present in the scene. Then, a convex optimization that exploits sparsity of the Laplacian of the depth map of a typical scene determines correspondences between spatial positions and depths. In contrast with 2D laser scanning used in LIDAR systems and low-resolution 2D sensor arrays used in TOF cameras, our experiment demonstrates that it is possible to build a non-scanning range acquisition system with high spatial resolution using only a standard, low-cost photodetector and a spatial light modulator.

© 2011 OSA

OCIS Codes
(110.6880) Imaging systems : Three-dimensional image acquisition
(110.1758) Imaging systems : Computational imaging

ToC Category:
Imaging Systems

History
Original Manuscript: August 19, 2011
Revised Manuscript: October 2, 2011
Manuscript Accepted: October 3, 2011
Published: October 17, 2011

Citation
Ahmed Kirmani, Andrea Colaço, Franco N. C. Wong, and Vivek K. Goyal, "Exploiting sparsity in time-of-flight range acquisition using a single time-resolved sensor," Opt. Express 19, 21485-21507 (2011)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-19-22-21485


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