Inline hologram reconstruction with sparsity constraints

Abstract : Inline digital holograms are classically reconstructed using linear operators to model diffraction. It has long been recognized that such reconstruction operators do not invert the hologram formation operator. Classical linear reconstructions yield images with artifacts such as distortions near the field-of-view boundaries or twin-images. When objects located at different depths are reconstructed from a hologram, in-focus and out-of-focus images of all objects superimpose upon each other. Additional processing, such as maximum-of-focus detection, is thus unavoidable for any successful use of the reconstructed volume. In this letter, we consider inverting the hologram formation model in Bayesian framework. We suggest the use of a sparsity-promoting prior, intrinsically verified due to inline holography requirements, and present a simple iterative algorithm for 3D object reconstruction under sparsity and positivity constraints. Preliminary results with both simulated and experimental holograms are highly promising.
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https://hal-ujm.archives-ouvertes.fr/ujm-00397994
Contributor : Loïc Denis <>
Submitted on : Monday, October 12, 2009 - 2:49:21 PM
Last modification on : Friday, April 5, 2019 - 8:04:52 PM
Long-term archiving on : Wednesday, September 22, 2010 - 1:27:28 PM

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Loïc Denis, Dirk Lorenz, Éric Thiébaut, Corinne Fournier, Dennis Trede. Inline hologram reconstruction with sparsity constraints. Optics Letters, Optical Society of America, 2009, 34 (22), pp.3475. ⟨10.1364/OL.34.003475⟩. ⟨ujm-00397994v2⟩

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