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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 3 — Feb. 11, 2013
  • pp: 3417–3433

A practical inverse-problem approach to digital holographic reconstruction

Aurélien Bourquard, Nicolas Pavillon, Emrah Bostan, Christian Depeursinge, and Michael Unser  »View Author Affiliations


Optics Express, Vol. 21, Issue 3, pp. 3417-3433 (2013)
http://dx.doi.org/10.1364/OE.21.003417


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Abstract

In this paper, we propose a new technique for high-quality reconstruction from single digital holographic acquisitions. The unknown complex object field is found as the solution of a nonlinear inverse problem that consists in the minimization of an energy functional. The latter includes total-variation (TV) regularization terms that constrain the spatial amplitude and phase distributions of the reconstructed data. The algorithm that we derive tolerates downsampling, which allows to acquire substantially fewer measurements for reconstruction compared to the state of the art. We demonstrate the effectiveness of our method through several experiments on simulated and real off-axis holograms.

© 2013 OSA

OCIS Codes
(100.2000) Image processing : Digital image processing
(100.3010) Image processing : Image reconstruction techniques
(100.3190) Image processing : Inverse problems
(100.5070) Image processing : Phase retrieval
(090.1995) Holography : Digital holography

ToC Category:
Image Processing

History
Original Manuscript: November 19, 2012
Revised Manuscript: January 16, 2013
Manuscript Accepted: January 16, 2013
Published: February 4, 2013

Citation
Aurélien Bourquard, Nicolas Pavillon, Emrah Bostan, Christian Depeursinge, and Michael Unser, "A practical inverse-problem approach to digital holographic reconstruction," Opt. Express 21, 3417-3433 (2013)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-21-3-3417


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