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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 49, Iss. 19 — Jul. 1, 2010
  • pp: E67–E82

Millimeter-wave compressive holography

Christy Fernandez Cull, David A. Wikner, Joseph N. Mait, Michael Mattheiss, and David J. Brady  »View Author Affiliations


Applied Optics, Vol. 49, Issue 19, pp. E67-E82 (2010)
http://dx.doi.org/10.1364/AO.49.000E67


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Abstract

We describe an active millimeter-wave holographic imaging system that uses compressive measurements for three-dimensional (3D) tomographic object estimation. Our system records a two-dimensional (2D) digitized Gabor hologram by translating a single pixel incoherent receiver. Two approaches for compressive measurement are undertaken: nonlinear inversion of a 2D Gabor hologram for 3D object estimation and nonlinear inversion of a randomly subsampled Gabor hologram for 3D object estimation. The object estimation algorithm minimizes a convex quadratic problem using total variation (TV) regularization for 3D object estimation. We compare object reconstructions using linear backpropagation and TV minimization, and we present simulated and experimental reconstructions from both compressive measurement strategies. In contrast with backpropagation, which estimates the 3D electromagnetic field, TV minimization estimates the 3D object that produces the field. Despite undersampling, range resolution is consistent with the extent of the 3D object band volume.

© 2010 Optical Society of America

OCIS Codes
(100.6950) Image processing : Tomographic image processing
(110.1758) Imaging systems : Computational imaging
(090.1995) Holography : Digital holography
(110.3010) Imaging systems : Image reconstruction techniques
(100.3200) Image processing : Inverse scattering
(110.3200) Imaging systems : Inverse scattering

History
Original Manuscript: December 16, 2009
Revised Manuscript: March 26, 2010
Manuscript Accepted: April 16, 2010
Published: May 12, 2010

Citation
Christy Fernandez Cull, David A. Wikner, Joseph N. Mait, Michael Mattheiss, and David J. Brady, "Millimeter-wave compressive holography," Appl. Opt. 49, E67-E82 (2010)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-49-19-E67

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