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Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Editor: Alan E. Willner
  • Vol. 34, Iss. 22 — Nov. 15, 2009
  • pp: 3475–3477

Inline hologram reconstruction with sparsity constraints

Loïc Denis, Dirk Lorenz, Eric Thiébaut, Corinne Fournier, and Dennis Trede  »View Author Affiliations


Optics Letters, Vol. 34, Issue 22, pp. 3475-3477 (2009)
http://dx.doi.org/10.1364/OL.34.003475


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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 a Bayesian framework. We suggest the use of a sparsity-promoting prior, verified in many inline holography applications, 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.

© 2009 Optical Society of America

OCIS Codes
(100.3010) Image processing : Image reconstruction techniques
(100.3190) Image processing : Inverse problems
(090.1995) Holography : Digital holography

ToC Category:
Image Processing

History
Original Manuscript: June 25, 2009
Revised Manuscript: October 8, 2009
Manuscript Accepted: October 8, 2009
Published: November 4, 2009

Citation
Loïc Denis, Dirk Lorenz, Eric Thiébaut, Corinne Fournier, and Dennis Trede, "Inline hologram reconstruction with sparsity constraints," Opt. Lett. 34, 3475-3477 (2009)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-34-22-3475

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