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research article

A Practical Inverse-Problem Approach to Digital Holographic Reconstruction

Bourquard, A.
•
Pavillon, N.
•
Bostan, E.
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2013
Optics Express

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.

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Type
research article
DOI
10.1364/OE.21.003417
Author(s)
Bourquard, A.
Pavillon, N.
Bostan, E.
Depeursinge, C.
Unser, M.  
Date Issued

2013

Publisher

OSA

Published in
Optics Express
Volume

21

Issue

3

Start page

3417

End page

3433

URL

URL

http://bigwww.epfl.ch/publications/bourquard1301.html

URL

http://bigwww.epfl.ch/publications/bourquard1301.pdf

URL

http://bigwww.epfl.ch/publications/bourquard1301.ps
Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
LIB  
Available on Infoscience
July 28, 2015
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/116713
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