Millimeter-wave compressive holography.


Journal Article

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.

Full Text

Duke Authors

Cited Authors

  • Cull, CF; Wikner, DA; Mait, JN; Mattheiss, M; Brady, DJ

Published Date

  • July 2010

Published In

Volume / Issue

  • 49 / 19

Start / End Page

  • E67 - E82

PubMed ID

  • 20648123

Pubmed Central ID

  • 20648123

Electronic International Standard Serial Number (EISSN)

  • 1539-4522

International Standard Serial Number (ISSN)

  • 1559-128X

Digital Object Identifier (DOI)

  • 10.1364/ao.49.000e67


  • eng