title: A practical inverse-problem approach to digital holographic reconstruction.
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.
authors.affiliation: Biomedical Imaging Group, E´cole polytechnique fe´de´rale de Lausanne, Switzerland. aurelien.bourquard@epfl.ch
authors.forename: Aurélien
authors.initials: A
authors.lastname: Bourquard
authors.forename: Nicolas
authors.initials: N
authors.lastname: Pavillon
authors.forename: Emrah
authors.initials: E
authors.lastname: Bostan
authors.forename: Christian
authors.initials: C
authors.lastname: Depeursinge
authors.forename: Michael
authors.initials: M
authors.lastname: Unser
mesh_terms: D000465:Algorithms; D006696:Holography / Q000379:methods*; D007089:Image Enhancement / Q000379:methods*; D007090:Image Interpretation, Computer-Assisted / Q000379:methods*; D021621:Imaging, Three-Dimensional / Q000379:methods*; D012815:Signal Processing, Computer-Assisted