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Autofocus for digital Fresnel holograms by use of a Fresnelet-sparsity criterion

Liebling, Michael and Unser, Michael (2004) Autofocus for digital Fresnel holograms by use of a Fresnelet-sparsity criterion. Journal of the Optical Society of America A, 21 (12). pp. 2424-2430. ISSN 1084-7529. doi:10.1364/JOSAA.21.002424.

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We propose a robust autofocus method for reconstructing digital Fresnel holograms. The numerical reconstruction involves simulating the propagation of a complex wave front to the appropriate distance. Since the latter value is difficult to determine manually, it is desirable to rely on an automatic procedure for finding the optimal distance to achieve high-quality reconstructions. Our algorithm maximizes a sharpness metric related to the sparsity of the signal’s expansion in distance-dependent waveletlike Fresnelet bases. We show results from simulations and experimental situations that confirm its applicability.

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Additional Information:© 2004 Optical Society of America. Received January 23, 2004; revised manuscript received June 7, 2004; accepted July 19, 2004. The authors thank E. Cuche and Ch. Depeursinge, École Polytechnique Fédérale de Lausanne, Switzerland, for providing the experimental holograms. We acknowledge the support of the Swiss National Science Foundation (SNF). Part of this work was completed while M. Liebling was with the Biomedical Imaging Group, École Polytechnique Fédérale de Lausanne. He is currently supported by SNF fellowship PBEL2-104418.
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Swiss National Science Foundation (SNF) FellowshipPBEL2-104418
Issue or Number:12
Classification Code:OCIS codes: 090.0090, 100.3010, 100.7410, 110.3000, 090.1000
Record Number:CaltechAUTHORS:20110829-140058709
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Official Citation:Michael Liebling and Michael Unser, "Autofocus for digital Fresnel holograms by use of a Fresnelet-sparsity criterion," J. Opt. Soc. Am. A 21, 2424-2430 (2004)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:25152
Deposited By: Tony Diaz
Deposited On:30 Aug 2011 22:56
Last Modified:09 Nov 2021 16:30

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