Inline hologram reconstruction with sparsity constraints

Optics Letters
Loïc DenisDennis Trede

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.

References

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Citations

Sep 23, 2014·Nature Photonics·Guoan ZhengChanghuei Yang
Oct 5, 2011·Proceedings of the National Academy of Sciences of the United States of America·Guoan ZhengChanghuei Yang
May 4, 2017·Applied Optics·Olivier FlasseurThierry Lépine
May 24, 2016·Reports on Progress in Physics·Euan McLeod, Aydogan Ozcan
Jul 22, 2010·Applied Optics·Christy Fernandez CullDavid J Brady
Sep 3, 2011·Optics Letters·Yair Rivenson, Adrian Stern
Dec 24, 2011·Applied Optics·Sehoon LimDavid J Brady
Jan 8, 2013·Applied Optics·Yair RivensonBahram Javidi
Jan 8, 2013·Applied Optics·Yair RivensonBahram Javidi
Aug 14, 2013·Optics Letters·Yair RivensonJoseph Rosen
Apr 20, 2011·Optics Express·Joonku HahnDavid J Brady
Dec 4, 2012·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Mozhdeh SeifiJean-Louis Marié
Aug 15, 2014·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Danjie CaiPeng Han
May 15, 2015·Applied Optics·M E Gehm, D J Brady
Oct 19, 2017·Optics Express·Stijn BettensPeter Schelkens
Jun 30, 2019·Optics Express·Kevin Mallery, Jiarong Hong
Jan 7, 2011·Optics Letters·Marcio MarimMichael Atlan
Feb 3, 2016·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Nicolas VerrierThierry Fournel
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Jan 13, 2018·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Silvio MontrésorMayssa Karray
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Dec 24, 2011·Applied Optics·Nicolas Verrier, Michael Atlan
Nov 22, 2018·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Davood MardaniGeorge K Atia
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Dec 11, 2013·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Mozhdeh SeifiCorinne Fournier
May 27, 2021·Scientific Reports·Farhad NiknamHamid Latifi

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