A practical inverse-problem approach to digital holographic reconstruction

Aurélien Bourquard*, Nicolas Pavillon, Emrah Bostan, Christian Depeursinge, Michael Unser

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

24 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)3417-3433
Number of pages17
JournalOptics Express
Volume21
Issue number3
DOIs
StatePublished - Feb 11 2013

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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